%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV552+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 03:02:35 PM UTC 2026
% Result : Theorem 55.47s 8.65s
% Output : CNFRefutation 56.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 11
% Syntax : Number of formulae : 3660 ( 199 unt; 0 def)
% Number of atoms : 9774 (3928 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 7748 (1634 ~;6078 |; 24 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 10313 ( 0 sgn10305 !; 8 ?;10218 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X2)
| mem(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( ~ subq(X0,p(X1))
& mem(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( ~ subq(X0,X1)
& atleast2p(X1)
& subq(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast3p_def) ).
fof(f26,conjecture,
~ atleast3p(a(s(s(n(n(e)))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atmost2_4352) ).
fof(f27,negated_conjecture,
~ ~ atleast3p(a(s(s(n(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
atleast3p(a(s(s(n(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( atleast3p(X0)
=> ? [X1] :
( ~ subq(X0,X1)
& atleast2p(X1)
& subq(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f30,plain,
! [X0] :
( atleast2p(X0)
=> ? [X1] :
( ~ subq(X0,p(X1))
& mem(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f31,plain,
! [X0] :
( ~ atleast3p(X0)
| ? [X1] :
( ~ subq(X0,X1)
& atleast2p(X1)
& subq(X1,X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f32,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ~ atleast2p(X0)
| ? [X1] :
( ~ subq(X0,p(X1))
& mem(X1,X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f36,plain,
! [X0,X1] :
( ( ~ mem(X0,s(X1))
| X0 = X1 )
& ( X0 != X1
| mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0] :
( ~ atleast3p(X0)
| ( ~ subq(X0,sK0(X0))
& atleast2p(sK0(X0))
& subq(sK0(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f31]) ).
fof(f38,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) )
& ( ? [X2] :
( mem(X2,X0)
& ~ mem(X2,X1) )
| subq(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f39,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X3] :
( ~ mem(X3,X0)
| mem(X3,X1) ) )
& ( ? [X2] :
( mem(X2,X0)
& ~ mem(X2,X1) )
| subq(X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X3] :
( ~ mem(X3,X0)
| mem(X3,X1) ) )
& ( ( mem(sK1(X0,X1),X0)
& ~ mem(sK1(X0,X1),X1) )
| subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) )
& ( ( ~ mem(X0,X2)
& ~ mem(X0,X1) )
| mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) )
& ( ( ~ mem(X0,X2)
& ~ mem(X0,X1) )
| mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ atleast2p(X0)
| ( ~ subq(X0,p(sK2(X0)))
& mem(sK2(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f35]) ).
fof(f44,plain,
! [X0,X1] :
( ( ~ mem(X0,p(X1))
| subq(X0,X1) )
& ( ~ subq(X0,X1)
| mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f45,plain,
atleast3p(a(s(s(n(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f47,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f49,plain,
! [X0,X1] :
( X0 != X1
| mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f51,plain,
! [X0] :
( ~ atleast3p(X0)
| ~ subq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f52,plain,
! [X0] :
( ~ atleast3p(X0)
| atleast2p(sK0(X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
! [X0] :
( ~ atleast3p(X0)
| subq(sK0(X0),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X0,X1] :
( mem(sK1(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X0,X1] :
( ~ mem(sK1(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ mem(X0,X2)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ mem(X0,X1)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f61,plain,
! [X0] :
( ~ atleast2p(X0)
| ~ subq(X0,p(sK2(X0))) ),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X0] :
( ~ atleast2p(X0)
| mem(sK2(X0),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f64,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f50,f47]) ).
fof(f66,plain,
atleast3p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f45,f47,f65,f65,f47,f65,f65,f65]) ).
fof(f67,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f49]) ).
tcf(c_49,negated_conjecture,
atleast3p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(cnf_transformation,[],[f66]) ).
tcf(c_50,plain,
! [X0: $i] : ~ mem(X0,e),
inference(cnf_transformation,[],[f46]) ).
tcf(c_51,plain,
! [X0: $i] : mem(X0,s(X0)),
inference(cnf_transformation,[],[f67]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_53,plain,
! [X0: $i] :
( subq(sK0(X0),X0)
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_54,plain,
! [X0: $i] :
( atleast2p(sK0(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_55,plain,
! [X0: $i] :
( ~ atleast3p(X0)
| ~ subq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ~ subq(X1,X2)
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_63,plain,
! [X0: $i] :
( mem(sK2(X0),X0)
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_64,plain,
! [X0: $i] :
( ~ atleast2p(X0)
| ~ subq(X0,p(sK2(X0))) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_68,plain,
~ mem(e,e),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_73,plain,
( mem(e,p(e))
| ~ subq(e,e) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_79,plain,
( mem(e,e)
| ~ mem(e,u(e,e)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_87,plain,
! [X0: $i] :
( subq(sK0(X0),X0)
| ~ atleast3p(X0) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_89,plain,
! [X0: $i] :
( atleast2p(sK0(X0))
| ~ atleast3p(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_91,plain,
! [X0: $i] :
( ~ subq(X0,sK0(X0))
| ~ atleast3p(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_92,plain,
! [X0: $i] :
( ~ atleast3p(X0)
| ~ subq(X0,sK0(X0)) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_107,plain,
! [X0: $i] :
( mem(sK2(X0),X0)
| ~ atleast2p(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
tcf(c_109,plain,
! [X0: $i] :
( ~ subq(X0,p(sK2(X0)))
| ~ atleast2p(X0) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
tcf(c_110,plain,
! [X0: $i] :
( ~ atleast2p(X0)
| ~ subq(X0,p(sK2(X0))) ),
inference(renaming,[status(thm)],[c_109]) ).
tcf(c_299,plain,
! [X0: $i] :
( ~ subq(X0,sK0(X0))
| ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_92]) ).
tcf(c_300,plain,
~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(unflattening,[status(thm)],[c_299]) ).
tcf(c_304,plain,
! [X0: $i] :
( atleast2p(sK0(X0))
| ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_89]) ).
tcf(c_305,plain,
atleast2p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(unflattening,[status(thm)],[c_304]) ).
tcf(c_309,plain,
! [X0: $i] :
( subq(sK0(X0),X0)
| ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_87]) ).
tcf(c_310,plain,
subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(unflattening,[status(thm)],[c_309]) ).
tcf(c_317,plain,
! [X0: $i] :
( ~ subq(X0,p(sK2(X0)))
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_110,c_305]) ).
tcf(c_318,plain,
~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(unflattening,[status(thm)],[c_317]) ).
tcf(c_322,plain,
! [X0: $i] :
( mem(sK2(X0),X0)
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_305]) ).
tcf(c_323,plain,
mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(unflattening,[status(thm)],[c_322]) ).
tcf(c_873,plain,
! [X0: $i] : subq(e,X0),
inference(superposition,[status(thm)],[c_57,c_50]) ).
tcf(c_874,plain,
subq(e,e),
inference(instantiation,[status(thm)],[c_873]) ).
tcf(c_880,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK1(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_57,c_52]) ).
tcf(c_892,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| subq(sK1(p(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_57,c_66]) ).
tcf(c_901,plain,
! [X0: $i] : subq(X0,X0),
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ~ subq(sK1(X0,p(X1)),X1) ),
inference(superposition,[status(thm)],[c_65,c_56]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ~ mem(sK1(X0,u(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_60,c_56]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ~ mem(sK1(X0,u(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_61,c_56]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_51,c_58]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK1(X0,X2),X1)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_58]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ mem(X3,X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_60,c_58]) ).
tcf(c_934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ mem(X3,X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_61,c_58]) ).
tcf(c_935,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ~ subq(X2,X0)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_65,c_58]) ).
tcf(c_936,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_323,c_58]) ).
tcf(c_953,plain,
( mem(e,e)
| ~ subq(s(e),e) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_954,plain,
( mem(e,e)
| ~ subq(e,e)
| ~ subq(p(e),e) ),
inference(instantiation,[status(thm)],[c_935]) ).
tcf(c_960,plain,
~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e),
inference(superposition,[status(thm)],[c_936,c_50]) ).
tcf(c_961,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_936,c_52]) ).
tcf(c_962,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ~ subq(X0,X1)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_936,c_58]) ).
tcf(c_963,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_936,c_66]) ).
tcf(c_987,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_310,c_962]) ).
tcf(c_996,plain,
~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e),
inference(superposition,[status(thm)],[c_987,c_50]) ).
tcf(c_997,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_987,c_52]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_987,c_58]) ).
tcf(c_999,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_987,c_66]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(u(X0,X1),X2)
| mem(sK1(u(X0,X1),X2),X1)
| mem(sK1(u(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_57,c_62]) ).
tcf(c_1022,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_987,c_62]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_936,c_62]) ).
tcf(c_1043,plain,
! [X0: $i] :
( ( X0 = e )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_873,c_59]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| ( sK1(p(X0),X1) = X0 )
| ~ subq(X0,sK1(p(X0),X1)) ),
inference(superposition,[status(thm)],[c_892,c_59]) ).
tcf(c_1046,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))
| ~ subq(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_999,c_59]) ).
tcf(c_1057,plain,
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1058,plain,
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1069,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK1(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_892,c_1043]) ).
tcf(c_1071,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_999,c_1043]) ).
tcf(c_1076,plain,
( subq(p(e),e)
| ( sK1(p(e),e) = e ) ),
inference(instantiation,[status(thm)],[c_1069]) ).
tcf(c_1077,plain,
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = X0 )
| ( sK1(s(X1),X0) = X1 )
| ~ subq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_880,c_59]) ).
tcf(c_1084,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_931]) ).
tcf(c_1085,plain,
! [X0: $i] :
( ( s(X0) = e )
| ( sK1(s(X0),e) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_1043]) ).
tcf(c_1101,plain,
! [X0: $i] : sK1(s(X0),e) = X0,
inference(superposition,[status(thm)],[c_1084,c_50]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X0),s(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1084,c_52]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1084,c_56]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1084,c_58]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(X1,X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_1084,c_62]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(X0),p(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1084,c_66]) ).
tcf(c_1133,plain,
! [X0: $i] : subq(p(X0),p(X0)),
inference(superposition,[status(thm)],[c_892,c_902]) ).
tcf(c_1138,plain,
! [X0: $i] :
( ( p(e) = X0 )
| ( sK1(p(e),X0) = e )
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_1069,c_59]) ).
tcf(c_1139,plain,
( ( p(e) = e )
| ( sK1(p(e),e) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_1043]) ).
tcf(c_1168,plain,
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(superposition,[status(thm)],[c_901,c_1022]) ).
tcf(c_1179,plain,
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) ) ),
inference(superposition,[status(thm)],[c_1168,c_52]) ).
tcf(c_1180,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1168,c_58]) ).
tcf(c_1205,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(X0) )
| ( sK1(s(X0),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_880,c_1046]) ).
tcf(c_1206,plain,
! [X0: $i] :
( subq(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X0)
| ( sK1(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X0) = sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X0))) ),
inference(superposition,[status(thm)],[c_892,c_1046]) ).
tcf(c_1209,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = p(e) )
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_1069,c_1046]) ).
tcf(c_1225,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) ) ),
inference(superposition,[status(thm)],[c_1179,c_52]) ).
tcf(c_1226,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0) ),
inference(superposition,[status(thm)],[c_1179,c_58]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_59]) ).
tcf(c_1238,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_1106,c_300]) ).
tcf(c_1239,plain,
sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(superposition,[status(thm)],[c_1106,c_318]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(s(X0)),p(X1)) = s(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_931]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(X1))),p(X1)) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_902]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_962]) ).
tcf(c_1243,plain,
sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(superposition,[status(thm)],[c_1106,c_960]) ).
tcf(c_1244,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(s(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_961]) ).
tcf(c_1245,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_963]) ).
tcf(c_1246,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_998]) ).
tcf(c_1247,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_1106,c_996]) ).
tcf(c_1248,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_997]) ).
tcf(c_1249,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_1071]) ).
tcf(c_1250,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_1022]) ).
tcf(c_1251,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(u(X0,X1))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_1023]) ).
tcf(c_1252,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_1043]) ).
tcf(c_1253,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(X0),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1106,c_1046]) ).
tcf(c_1359,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| subq(s(X0),e)
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1101,c_932]) ).
tcf(c_1360,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_932,c_50]) ).
tcf(c_1361,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ~ subq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_932,c_52]) ).
tcf(c_1363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),X2)
| ~ subq(X1,X2)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_932,c_58]) ).
tcf(c_1364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),X2)
| mem(sK1(X0,X3),X1)
| ~ subq(X0,u(X1,X2)) ),
inference(superposition,[status(thm)],[c_932,c_62]) ).
tcf(c_1365,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| subq(sK1(X0,X2),X1)
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_932,c_66]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_1360]) ).
tcf(c_1402,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| subq(sK1(p(e),X0),X1) ),
inference(superposition,[status(thm)],[c_892,c_1360]) ).
tcf(c_1404,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_999,c_1360]) ).
tcf(c_1405,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK1(p(e),e) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_1360]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),p(X2)) = p(X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_935]) ).
tcf(c_1430,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(p(e),X1) = e )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1069,c_935]) ).
tcf(c_1454,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| ( sK1(p(e),X1) = X0 )
| ~ subq(X0,sK1(p(e),X1)) ),
inference(superposition,[status(thm)],[c_1402,c_59]) ).
tcf(c_1455,plain,
! [X0: $i] : subq(p(e),p(X0)),
inference(superposition,[status(thm)],[c_1402,c_902]) ).
tcf(c_1458,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0))) ),
inference(superposition,[status(thm)],[c_1402,c_1046]) ).
tcf(c_1495,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ~ subq(p(X0),p(e)) ),
inference(superposition,[status(thm)],[c_1455,c_59]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1455,c_935]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ~ subq(sK1(X0,p(X1)),e) ),
inference(superposition,[status(thm)],[c_1496,c_56]) ).
tcf(c_1514,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ~ subq(X2,e)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1496,c_58]) ).
tcf(c_1525,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_59]) ).
tcf(c_1528,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(s(X0)),p(e)) = s(X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_931]) ).
tcf(c_1529,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),p(e)) = p(X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_935]) ).
tcf(c_1530,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(X1))),p(e)) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1399,c_902]) ).
tcf(c_1543,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1399,c_1046]) ).
tcf(c_1566,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_1238,c_56]) ).
tcf(c_1567,plain,
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_1238,c_57]) ).
tcf(c_1569,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1238,c_932]) ).
tcf(c_1576,plain,
( subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ~ mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
inference(superposition,[status(thm)],[c_1239,c_56]) ).
tcf(c_1577,plain,
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
inference(superposition,[status(thm)],[c_1239,c_57]) ).
tcf(c_1579,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0) ),
inference(superposition,[status(thm)],[c_1239,c_932]) ).
tcf(c_1586,plain,
~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
inference(global_subsumption_just,[status(thm)],[c_1566,c_300,c_1057]) ).
tcf(c_1600,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(e))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1247,c_56]) ).
tcf(c_1601,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(e))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_1247,c_57]) ).
tcf(c_1603,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(e))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1247,c_932]) ).
tcf(c_1614,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))
| ~ subq(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_1404,c_59]) ).
tcf(c_1625,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_1248,c_56]) ).
tcf(c_1626,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0)))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1248,c_57]) ).
tcf(c_1628,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X1)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1248,c_932]) ).
tcf(c_1644,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(e)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_1246]) ).
tcf(c_1645,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(X1)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_1246]) ).
tcf(c_1648,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_1246]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK1(p(X0),X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_892,c_1246]) ).
tcf(c_1650,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_1246]) ).
tcf(c_1651,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_1246]) ).
tcf(c_1652,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_1246]) ).
tcf(c_1653,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(p(e),X0) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1069,c_1246]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK1(p(e),X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1402,c_1246]) ).
tcf(c_1655,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1455,c_1246]) ).
tcf(c_1689,plain,
~ mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_1719,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(s(X0),s(X2))
| ( X0 = X2 )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1102,c_932]) ).
tcf(c_1740,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(p(X0)),p(e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_1495]) ).
tcf(c_1741,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(p(X0)),p(p(e))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_1495]) ).
tcf(c_1757,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),p(e)) = p(X1) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1399,c_1514]) ).
tcf(c_1758,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),p(X2)) = p(X1) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1106,c_1514]) ).
tcf(c_1772,plain,
! [X0: $i,X1: $i] : subq(X0,u(X0,X1)),
inference(superposition,[status(thm)],[c_57,c_910]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(X0,u(X1,X2))),X1) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1084,c_910]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,X2),X3))
| ~ mem(sK1(X0,u(u(X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_60,c_910]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,X2),X3))
| ~ mem(sK1(X0,u(u(X1,X2),X3)),X2) ),
inference(superposition,[status(thm)],[c_61,c_910]) ).
tcf(c_1776,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ~ subq(sK1(X0,u(p(X1),X2)),e) ),
inference(superposition,[status(thm)],[c_1496,c_910]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ~ subq(sK1(X0,u(p(X1),X2)),X1) ),
inference(superposition,[status(thm)],[c_65,c_910]) ).
tcf(c_1778,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_932,c_910]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_1246]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ~ subq(u(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1772,c_59]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i] : mem(X0,u(s(X0),X1)),
inference(superposition,[status(thm)],[c_1772,c_931]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(p(X1),X2))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1772,c_1514]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(p(X1),X2))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_935]) ).
tcf(c_1811,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ~ subq(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1772,c_962]) ).
tcf(c_1812,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1772,c_998]) ).
tcf(c_1813,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(superposition,[status(thm)],[c_1772,c_1022]) ).
tcf(c_1834,plain,
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(instantiation,[status(thm)],[c_1813]) ).
tcf(c_1878,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1808,c_58]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_1246]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X0,X1) = X2 )
| ~ subq(X2,X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_59]) ).
tcf(c_1889,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_931]) ).
tcf(c_1890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X1,X3))
| ~ subq(X2,e)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_1514]) ).
tcf(c_1891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X1,X3))
| ~ subq(X2,X0)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_935]) ).
tcf(c_1892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,p(u(X1,X2)))
| ~ subq(sK1(X0,p(u(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_1778,c_902]) ).
tcf(c_1893,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X0,X1),X2)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_962]) ).
tcf(c_1894,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X0,X1),X2)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_998]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ subq(X3,e)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1809,c_58]) ).
tcf(c_1939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(p(X1),X2),X3))
| ~ subq(sK1(X0,u(u(p(X1),X2),X3)),e) ),
inference(superposition,[status(thm)],[c_1809,c_910]) ).
tcf(c_1951,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),p(e)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_1812]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),p(X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_1812]) ).
tcf(c_1953,plain,
! [X0: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),
inference(superposition,[status(thm)],[c_901,c_1812]) ).
tcf(c_1954,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_1812]) ).
tcf(c_1955,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),
inference(superposition,[status(thm)],[c_1772,c_1812]) ).
tcf(c_1997,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1106,c_1894]) ).
tcf(c_1999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(X0,X1),X2),X3)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_1894]) ).
tcf(c_2000,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1772,c_1894]) ).
tcf(c_2019,plain,
mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(global_subsumption_just,[status(thm)],[c_1813,c_1689,c_1834]) ).
tcf(c_2023,plain,
~ mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),
inference(global_subsumption_just,[status(thm)],[c_1576,c_318,c_1058]) ).
tcf(c_2034,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_50]) ).
tcf(c_2035,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,s(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_52]) ).
tcf(c_2036,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X2,X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1250,c_58]) ).
tcf(c_2037,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,u(X1,X2)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_62]) ).
tcf(c_2038,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,p(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_66]) ).
tcf(c_2039,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(e,X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_50]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(X0),X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_52]) ).
tcf(c_2041,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X2))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1250,c_58]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(u(X0,X1),X2))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_62]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(p(X0),X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1250,c_66]) ).
tcf(c_2044,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(equality_factoring,[status(thm)],[c_1250]) ).
tcf(c_2121,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1652,c_50]) ).
tcf(c_2122,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_1652,c_52]) ).
tcf(c_2123,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1652,c_58]) ).
tcf(c_2124,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(u(X0,X1))) ),
inference(superposition,[status(thm)],[c_1652,c_62]) ).
tcf(c_2125,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(X0))) ),
inference(superposition,[status(thm)],[c_1652,c_66]) ).
tcf(c_2147,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ~ mem(s(X0),p(X1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2148,plain,
( subq(s(e),e)
| ~ mem(s(e),p(e)) ),
inference(instantiation,[status(thm)],[c_2147]) ).
tcf(c_2155,plain,
sK1(p(e),e) = e,
inference(global_subsumption_just,[status(thm)],[c_1139,c_68,c_874,c_954,c_1076]) ).
tcf(c_2157,plain,
( subq(p(e),e)
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_2155,c_56]) ).
tcf(c_2158,plain,
( subq(p(e),e)
| mem(e,p(e)) ),
inference(superposition,[status(thm)],[c_2155,c_57]) ).
tcf(c_2159,plain,
( subq(e,e)
| subq(p(e),e) ),
inference(superposition,[status(thm)],[c_2155,c_892]) ).
tcf(c_2160,plain,
! [X0: $i] :
( mem(e,X0)
| subq(p(e),e)
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_2155,c_932]) ).
tcf(c_2172,plain,
mem(e,p(e)),
inference(global_subsumption_just,[status(thm)],[c_2158,c_73,c_874]) ).
tcf(c_2174,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_2172,c_58]) ).
tcf(c_2175,plain,
subq(e,e),
inference(superposition,[status(thm)],[c_2172,c_66]) ).
tcf(c_2195,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(s(p(e)),p(e)) = p(e) ) ),
inference(superposition,[status(thm)],[c_1399,c_2174]) ).
tcf(c_2196,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(s(p(e)),p(X0)) = p(e) ) ),
inference(superposition,[status(thm)],[c_1106,c_2174]) ).
tcf(c_2198,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_1778,c_2174]) ).
tcf(c_2199,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_2174]) ).
tcf(c_2200,plain,
! [X0: $i] : mem(e,p(X0)),
inference(superposition,[status(thm)],[c_1455,c_2174]) ).
tcf(c_2201,plain,
! [X0: $i] : mem(e,u(p(e),X0)),
inference(superposition,[status(thm)],[c_1772,c_2174]) ).
tcf(c_2225,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(u(s(X0),X1)),p(e)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_1878]) ).
tcf(c_2226,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(u(s(X0),X1)),p(X2)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_1878]) ).
tcf(c_2228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_1878]) ).
tcf(c_2229,plain,
! [X0: $i,X1: $i,X2: $i] : mem(X0,u(u(s(X0),X1),X2)),
inference(superposition,[status(thm)],[c_1772,c_1878]) ).
tcf(c_2267,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(u(X0,X1)),p(e)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_1807]) ).
tcf(c_2268,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(u(X0,X1)),p(X0)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_1807]) ).
tcf(c_2269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(u(X0,X1),X2) = u(X0,X1) )
| ~ subq(u(u(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_1778,c_1807]) ).
tcf(c_2278,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2200,c_58]) ).
tcf(c_2282,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ~ subq(u(p(e),X0),X1) ),
inference(superposition,[status(thm)],[c_2201,c_58]) ).
tcf(c_2283,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,p(e)) ),
inference(superposition,[status(thm)],[c_2201,c_62]) ).
tcf(c_2287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ~ subq(u(u(s(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2229,c_58]) ).
tcf(c_2296,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(p(X0)),p(e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_2278]) ).
tcf(c_2297,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(p(X0)),p(X1)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_2278]) ).
tcf(c_2299,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2278]) ).
tcf(c_2302,plain,
! [X0: $i,X1: $i] : mem(e,u(p(X0),X1)),
inference(superposition,[status(thm)],[c_1772,c_2278]) ).
tcf(c_2321,plain,
( subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e))
| ~ mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1243,c_56]) ).
tcf(c_2322,plain,
( subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_1243,c_57]) ).
tcf(c_2325,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e))
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0) ),
inference(superposition,[status(thm)],[c_1243,c_932]) ).
tcf(c_2336,plain,
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1600,c_1246]) ).
tcf(c_2337,plain,
( ( s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = p(e) )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))
| ~ subq(p(e),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_1600,c_59]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),p(e)) = u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_1811]) ).
tcf(c_2372,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),p(X1)) = u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_1811]) ).
tcf(c_2373,plain,
! [X0: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),
inference(superposition,[status(thm)],[c_901,c_1811]) ).
tcf(c_2374,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ~ subq(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_1811]) ).
tcf(c_2375,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)),
inference(superposition,[status(thm)],[c_1772,c_1811]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),p(e)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_1954]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),p(X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_1954]) ).
tcf(c_2393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X1,X2),X3))
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_1954]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2)),
inference(superposition,[status(thm)],[c_1772,c_1954]) ).
tcf(c_2413,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),p(e)) = u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_2000]) ).
tcf(c_2414,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),p(X2)) = u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_2000]) ).
tcf(c_2416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X3))
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2000]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1106,c_1893]) ).
tcf(c_2436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(X0,X1),X2),X3)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_1893]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1772,c_1893]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1106,c_1999]) ).
tcf(c_2464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(u(u(X0,X1),X2),X3),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_1999]) ).
tcf(c_2465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1772,c_1999]) ).
tcf(c_2481,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_1955]) ).
tcf(c_2482,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_1953]) ).
tcf(c_2483,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_1652]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_1250]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_1250]) ).
tcf(c_2486,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(superposition,[status(thm)],[c_1225,c_2023]) ).
tcf(c_2487,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_2019]) ).
tcf(c_2488,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1225,c_1404]) ).
tcf(c_2489,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_1239]) ).
tcf(c_2491,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(X0,u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_1046]) ).
tcf(c_2492,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_1168]) ).
tcf(c_2493,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1225,c_999]) ).
tcf(c_2494,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1225,c_987]) ).
tcf(c_2495,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1225,c_936]) ).
tcf(c_2496,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(superposition,[status(thm)],[c_1225,c_318]) ).
tcf(c_2497,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_323]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(u(p(e),X0)),p(e)) = u(p(e),X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_2282]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(u(p(e),X0)),p(X1)) = u(p(e),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_2282]) ).
tcf(c_2621,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ~ subq(u(p(e),X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2282]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i] : mem(e,u(u(p(e),X0),X1)),
inference(superposition,[status(thm)],[c_1772,c_2282]) ).
tcf(c_2648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(u(s(X0),X1),X2)),p(e)) = u(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1399,c_2287]) ).
tcf(c_2649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(u(s(X0),X1),X2)),p(X3)) = u(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1106,c_2287]) ).
tcf(c_2651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X3,X4))
| ~ subq(u(u(s(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_2287]) ).
tcf(c_2652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(u(u(s(X0),X1),X2),X3)),
inference(superposition,[status(thm)],[c_1772,c_2287]) ).
tcf(c_2694,plain,
! [X0: $i,X1: $i] : subq(X0,u(X1,X0)),
inference(superposition,[status(thm)],[c_57,c_918]) ).
tcf(c_2695,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(X0,u(X1,X2))),X2) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1084,c_918]) ).
tcf(c_2696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,X3)))
| ~ mem(sK1(X0,u(X1,u(X2,X3))),X2) ),
inference(superposition,[status(thm)],[c_60,c_918]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,X3)))
| ~ mem(sK1(X0,u(X1,u(X2,X3))),X3) ),
inference(superposition,[status(thm)],[c_61,c_918]) ).
tcf(c_2698,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ~ subq(sK1(X0,u(X1,p(X2))),e) ),
inference(superposition,[status(thm)],[c_1496,c_918]) ).
tcf(c_2699,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ~ subq(sK1(X0,u(X1,p(X2))),X2) ),
inference(superposition,[status(thm)],[c_65,c_918]) ).
tcf(c_2700,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X2,X1))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_932,c_918]) ).
tcf(c_2701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(p(X2),X3)))
| ~ subq(sK1(X0,u(X1,u(p(X2),X3))),e) ),
inference(superposition,[status(thm)],[c_1809,c_918]) ).
tcf(c_2740,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_1246]) ).
tcf(c_2741,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ~ subq(u(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_2694,c_59]) ).
tcf(c_2742,plain,
! [X0: $i,X1: $i] : mem(X0,u(X1,s(X0))),
inference(superposition,[status(thm)],[c_2694,c_931]) ).
tcf(c_2743,plain,
! [X0: $i,X1: $i] : mem(e,u(X0,p(X1))),
inference(superposition,[status(thm)],[c_2694,c_2278]) ).
tcf(c_2744,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,p(X2)))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_2694,c_1514]) ).
tcf(c_2745,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,p(X1)))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_935]) ).
tcf(c_2746,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_2694,c_1893]) ).
tcf(c_2747,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ~ subq(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ),
inference(superposition,[status(thm)],[c_2694,c_962]) ).
tcf(c_2748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2694,c_1999]) ).
tcf(c_2749,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_2694,c_1894]) ).
tcf(c_2750,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_2694,c_998]) ).
tcf(c_2753,plain,
! [X0: $i,X1: $i,X2: $i] : mem(X0,u(X1,u(s(X0),X2))),
inference(superposition,[status(thm)],[c_2694,c_1878]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))),
inference(superposition,[status(thm)],[c_2694,c_1811]) ).
tcf(c_2755,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2)),
inference(superposition,[status(thm)],[c_2694,c_1954]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),
inference(superposition,[status(thm)],[c_2694,c_1812]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))),
inference(superposition,[status(thm)],[c_2694,c_2000]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i] : mem(e,u(X0,u(p(e),X1))),
inference(superposition,[status(thm)],[c_2694,c_2282]) ).
tcf(c_2759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(X1,u(u(s(X0),X2),X3))),
inference(superposition,[status(thm)],[c_2694,c_2287]) ).
tcf(c_2862,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2863,plain,
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(instantiation,[status(thm)],[c_2862]) ).
tcf(c_2868,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2302,c_58]) ).
tcf(c_2872,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_2742,c_58]) ).
tcf(c_2877,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2743,c_58]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ~ subq(u(u(p(e),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2622,c_58]) ).
tcf(c_2883,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,u(p(e),X0)) ),
inference(superposition,[status(thm)],[c_2622,c_62]) ).
tcf(c_2905,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2494]) ).
tcf(c_2907,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_2494]) ).
tcf(c_2909,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_2494]) ).
tcf(c_2928,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_2750]) ).
tcf(c_2929,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X1)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2750]) ).
tcf(c_2930,plain,
! [X0: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(superposition,[status(thm)],[c_901,c_2750]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2750]) ).
tcf(c_2932,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),
inference(superposition,[status(thm)],[c_1772,c_2750]) ).
tcf(c_2933,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
inference(superposition,[status(thm)],[c_2694,c_2750]) ).
tcf(c_2961,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_2909,c_58]) ).
tcf(c_2974,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2493]) ).
tcf(c_2997,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2495]) ).
tcf(c_3000,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_2495]) ).
tcf(c_3001,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_2495]) ).
tcf(c_3002,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_2495]) ).
tcf(c_3022,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2907]) ).
tcf(c_3024,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_2907]) ).
tcf(c_3026,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_2907]) ).
tcf(c_3040,plain,
! [X0: $i] :
( subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(s(X0)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_1244,c_56]) ).
tcf(c_3041,plain,
! [X0: $i] :
( subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(s(X0)))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1244,c_57]) ).
tcf(c_3044,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(s(X1)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0) ),
inference(superposition,[status(thm)],[c_1244,c_932]) ).
tcf(c_3121,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(p(X0),X1)),p(e)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_2868]) ).
tcf(c_3122,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(p(X0),X1)),p(X2)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_2868]) ).
tcf(c_3124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2868]) ).
tcf(c_3125,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(p(X0),X1),X2)),
inference(superposition,[status(thm)],[c_1772,c_2868]) ).
tcf(c_3126,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(p(X1),X2))),
inference(superposition,[status(thm)],[c_2694,c_2868]) ).
tcf(c_3137,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(u(X0,s(X1))),p(e)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_1399,c_2872]) ).
tcf(c_3138,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(u(X0,s(X1))),p(X2)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_2872]) ).
tcf(c_3140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2872]) ).
tcf(c_3141,plain,
! [X0: $i,X1: $i,X2: $i] : mem(X0,u(u(X1,s(X0)),X2)),
inference(superposition,[status(thm)],[c_1772,c_2872]) ).
tcf(c_3142,plain,
! [X0: $i,X1: $i,X2: $i] : mem(X0,u(X1,u(X2,s(X0)))),
inference(superposition,[status(thm)],[c_2694,c_2872]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,p(X1))),p(e)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1399,c_2877]) ).
tcf(c_3158,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,p(X1))),p(X2)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_2877]) ).
tcf(c_3160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2877]) ).
tcf(c_3161,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(X0,p(X1)),X2)),
inference(superposition,[status(thm)],[c_1772,c_2877]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(X1,p(X2)))),
inference(superposition,[status(thm)],[c_2694,c_2877]) ).
tcf(c_3177,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(u(X0,X1)),p(e)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_2741]) ).
tcf(c_3178,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(u(X0,X1)),p(X1)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_2741]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X0,u(X1,X2)) = u(X1,X2) )
| ~ subq(u(X0,u(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2741]) ).
tcf(c_3187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ~ subq(u(X0,u(s(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_2753,c_58]) ).
tcf(c_3192,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ~ subq(u(X0,u(p(e),X1)),X2) ),
inference(superposition,[status(thm)],[c_2758,c_58]) ).
tcf(c_3197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(u(p(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_3125,c_58]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(X0,u(p(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_3126,c_58]) ).
tcf(c_3231,plain,
( subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2489,c_57]) ).
tcf(c_3234,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0) ),
inference(superposition,[status(thm)],[c_2489,c_932]) ).
tcf(c_3247,plain,
! [X0: $i] :
( ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_2905,c_52]) ).
tcf(c_3248,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2905,c_58]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_2905,c_62]) ).
tcf(c_3267,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_2756]) ).
tcf(c_3268,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2) ),
inference(superposition,[status(thm)],[c_2756,c_58]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_2933]) ).
tcf(c_3321,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) ),
inference(superposition,[status(thm)],[c_2933,c_58]) ).
tcf(c_3347,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(e)) = u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_2747]) ).
tcf(c_3348,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X1)) = u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2747]) ).
tcf(c_3349,plain,
! [X0: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),
inference(superposition,[status(thm)],[c_901,c_2747]) ).
tcf(c_3350,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ~ subq(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2747]) ).
tcf(c_3351,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)),
inference(superposition,[status(thm)],[c_1772,c_2747]) ).
tcf(c_3352,plain,
! [X0: $i,X1: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(X1,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_2694,c_2747]) ).
tcf(c_3385,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),p(e)) = u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_2749]) ).
tcf(c_3386,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),p(X2)) = u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_2749]) ).
tcf(c_3388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X3))
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2749]) ).
tcf(c_3389,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)),
inference(superposition,[status(thm)],[c_1772,c_2749]) ).
tcf(c_3390,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))),
inference(superposition,[status(thm)],[c_2694,c_2749]) ).
tcf(c_3417,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_1249,c_56]) ).
tcf(c_3418,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1249,c_57]) ).
tcf(c_3421,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1249,c_932]) ).
tcf(c_3434,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(u(p(e),X0),X1)),p(e)) = u(u(p(e),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_2882]) ).
tcf(c_3435,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(u(p(e),X0),X1)),p(X2)) = u(u(p(e),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_2882]) ).
tcf(c_3437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ~ subq(u(u(p(e),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2882]) ).
tcf(c_3438,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(u(p(e),X0),X1),X2)),
inference(superposition,[status(thm)],[c_1772,c_2882]) ).
tcf(c_3439,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(u(p(e),X1),X2))),
inference(superposition,[status(thm)],[c_2694,c_2882]) ).
tcf(c_3477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(X0,u(s(X1),X2))),p(e)) = u(X0,u(s(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1399,c_3187]) ).
tcf(c_3478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(X0,u(s(X1),X2))),p(X3)) = u(X0,u(s(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3187]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X3,X4))
| ~ subq(u(X0,u(s(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3187]) ).
tcf(c_3481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(u(X1,u(s(X0),X2)),X3)),
inference(superposition,[status(thm)],[c_1772,c_3187]) ).
tcf(c_3482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(X1,u(X2,u(s(X0),X3)))),
inference(superposition,[status(thm)],[c_2694,c_3187]) ).
tcf(c_3521,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,u(p(e),X1))),p(e)) = u(X0,u(p(e),X1)) ) ),
inference(superposition,[status(thm)],[c_1399,c_3192]) ).
tcf(c_3522,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,u(p(e),X1))),p(X2)) = u(X0,u(p(e),X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3192]) ).
tcf(c_3524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ~ subq(u(X0,u(p(e),X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3192]) ).
tcf(c_3525,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(X0,u(p(e),X1)),X2)),
inference(superposition,[status(thm)],[c_1772,c_3192]) ).
tcf(c_3526,plain,
! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(X1,u(p(e),X2)))),
inference(superposition,[status(thm)],[c_2694,c_3192]) ).
tcf(c_3553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(p(X0),X1),X2)),p(e)) = u(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1399,c_3197]) ).
tcf(c_3554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(p(X0),X1),X2)),p(X3)) = u(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1106,c_3197]) ).
tcf(c_3556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(u(p(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3197]) ).
tcf(c_3557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(u(p(X0),X1),X2),X3)),
inference(superposition,[status(thm)],[c_1772,c_3197]) ).
tcf(c_3558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(u(p(X1),X2),X3))),
inference(superposition,[status(thm)],[c_2694,c_3197]) ).
tcf(c_3587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ~ subq(u(u(X0,s(X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_3141,c_58]) ).
tcf(c_3604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ~ subq(u(X0,u(X1,s(X2))),X3) ),
inference(superposition,[status(thm)],[c_3142,c_58]) ).
tcf(c_3609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(u(X0,p(X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_3161,c_58]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(X0,u(X1,p(X2))),X3) ),
inference(superposition,[status(thm)],[c_3162,c_58]) ).
tcf(c_3623,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_2931]) ).
tcf(c_3624,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X1)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2931]) ).
tcf(c_3626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X1,X2),X3))
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2931]) ).
tcf(c_3628,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)),
inference(superposition,[status(thm)],[c_2694,c_2931]) ).
tcf(c_3660,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_1543]) ).
tcf(c_3681,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(sK1(p(e),X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_1458]) ).
tcf(c_3682,plain,
( subq(p(e),e)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),e) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_2155,c_1458]) ).
tcf(c_3699,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_3001,c_58]) ).
tcf(c_3709,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ),
inference(superposition,[status(thm)],[c_3002,c_58]) ).
tcf(c_3727,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X2)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_3026,c_58]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_3026,c_62]) ).
tcf(c_3758,plain,
! [X0: $i] :
( subq(s(X0),p(e))
| ( X0 = e )
| ~ mem(X0,p(e)) ),
inference(superposition,[status(thm)],[c_1252,c_56]) ).
tcf(c_3762,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| subq(s(X0),p(e))
| ( X0 = e )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1252,c_932]) ).
tcf(c_3774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(p(X1),X2))),p(e)) = u(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1399,c_3222]) ).
tcf(c_3775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(p(X1),X2))),p(X3)) = u(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3222]) ).
tcf(c_3777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(X0,u(p(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3222]) ).
tcf(c_3778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(X0,u(p(X1),X2)),X3)),
inference(superposition,[status(thm)],[c_1772,c_3222]) ).
tcf(c_3779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(X1,u(p(X2),X3)))),
inference(superposition,[status(thm)],[c_2694,c_3222]) ).
tcf(c_3790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(u(X0,s(X1)),X2)),p(e)) = u(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1399,c_3587]) ).
tcf(c_3791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(u(X0,s(X1)),X2)),p(X3)) = u(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1106,c_3587]) ).
tcf(c_3793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X3,X4))
| ~ subq(u(u(X0,s(X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3587]) ).
tcf(c_3794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(u(u(X1,s(X0)),X2),X3)),
inference(superposition,[status(thm)],[c_1772,c_3587]) ).
tcf(c_3795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(X1,u(u(X2,s(X0)),X3))),
inference(superposition,[status(thm)],[c_2694,c_3587]) ).
tcf(c_3825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(u(X0,u(X1,s(X2)))),p(e)) = u(X0,u(X1,s(X2))) ) ),
inference(superposition,[status(thm)],[c_1399,c_3604]) ).
tcf(c_3826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(u(X0,u(X1,s(X2)))),p(X3)) = u(X0,u(X1,s(X2))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3604]) ).
tcf(c_3828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(X3,X4))
| ~ subq(u(X0,u(X1,s(X2))),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3604]) ).
tcf(c_3829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(u(X1,u(X2,s(X0))),X3)),
inference(superposition,[status(thm)],[c_1772,c_3604]) ).
tcf(c_3830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(X1,u(X2,u(X3,s(X0))))),
inference(superposition,[status(thm)],[c_2694,c_3604]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(X0,p(X1)),X2)),p(e)) = u(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1399,c_3609]) ).
tcf(c_3852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(X0,p(X1)),X2)),p(X3)) = u(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1106,c_3609]) ).
tcf(c_3854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(u(X0,p(X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3609]) ).
tcf(c_3855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(u(X0,p(X1)),X2),X3)),
inference(superposition,[status(thm)],[c_1772,c_3609]) ).
tcf(c_3856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(u(X1,p(X2)),X3))),
inference(superposition,[status(thm)],[c_2694,c_3609]) ).
tcf(c_3887,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_1246]) ).
tcf(c_3888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X0,X1) = X2 )
| ~ subq(X2,X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_59]) ).
tcf(c_3889,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_931]) ).
tcf(c_3890,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_2278]) ).
tcf(c_3891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,X1))
| ~ subq(X2,e)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_1514]) ).
tcf(c_3892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,X1))
| ~ subq(X2,X0)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_935]) ).
tcf(c_3893,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,p(u(X1,X2)))
| ~ subq(sK1(X0,p(u(X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_2700,c_902]) ).
tcf(c_3894,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_2495]) ).
tcf(c_3895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(X1,X0),X2),X3)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_1893]) ).
tcf(c_3896,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X1,X0),X2)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_962]) ).
tcf(c_3897,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_2907]) ).
tcf(c_3898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(u(u(X1,X0),X2),X3),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_1999]) ).
tcf(c_3899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(X1,X0),X2),X3)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_1894]) ).
tcf(c_3900,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X1,X0),X2)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_998]) ).
tcf(c_3903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_1878]) ).
tcf(c_3904,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ~ subq(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_1811]) ).
tcf(c_3905,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ~ subq(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ),
inference(superposition,[status(thm)],[c_2700,c_2747]) ).
tcf(c_3906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(u(X0,X1),X2) = u(X0,X1) )
| ~ subq(u(u(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_2700,c_1807]) ).
tcf(c_3907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X2,X1),X3))
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_1954]) ).
tcf(c_3908,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_1812]) ).
tcf(c_3909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2868]) ).
tcf(c_3910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,X2))
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2000]) ).
tcf(c_3911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,X3))
| ~ subq(u(u(s(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_2287]) ).
tcf(c_3912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X2,X1),X3))
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_2700,c_2931]) ).
tcf(c_3913,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_2700,c_2750]) ).
tcf(c_3914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X0,u(X1,X2)) = u(X1,X2) )
| ~ subq(u(X0,u(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2741]) ).
tcf(c_3915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,X2))
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2749]) ).
tcf(c_3916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2872]) ).
tcf(c_3917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2877]) ).
tcf(c_3918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,X3))
| ~ subq(u(X0,u(s(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3187]) ).
tcf(c_3919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(u(p(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3197]) ).
tcf(c_3920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(X0,u(p(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3222]) ).
tcf(c_3921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,X3))
| ~ subq(u(u(X0,s(X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3587]) ).
tcf(c_3922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(X4,X3))
| ~ subq(u(X0,u(X1,s(X2))),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3604]) ).
tcf(c_3923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(u(X0,p(X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3609]) ).
tcf(c_4111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ subq(X3,X0)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1810,c_58]) ).
tcf(c_4113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(p(X1),X2),X3))
| ~ subq(sK1(X0,u(u(p(X1),X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_1810,c_910]) ).
tcf(c_4114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(p(X2),X3)))
| ~ subq(sK1(X0,u(X1,u(p(X2),X3))),X2) ),
inference(superposition,[status(thm)],[c_1810,c_918]) ).
tcf(c_4135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ~ subq(s(sK1(X0,u(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_1889,c_56]) ).
tcf(c_4136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ subq(s(X3),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1889,c_58]) ).
tcf(c_4138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,X2),X3))
| ~ subq(s(sK1(X0,u(u(X1,X2),X3))),X1) ),
inference(superposition,[status(thm)],[c_1889,c_910]) ).
tcf(c_4139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,X3)))
| ~ subq(s(sK1(X0,u(X1,u(X2,X3)))),X2) ),
inference(superposition,[status(thm)],[c_1889,c_918]) ).
tcf(c_4192,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ~ subq(p(e),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2198,c_58]) ).
tcf(c_4193,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_2198,c_62]) ).
tcf(c_4218,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1106,c_3900]) ).
tcf(c_4220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X1,u(X0,X2)),X3)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3900]) ).
tcf(c_4223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X1,u(X2,X0)),X3)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3900]) ).
tcf(c_4262,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),p(X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_3908]) ).
tcf(c_4264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(X1,X3)))
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_3908]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),
inference(superposition,[status(thm)],[c_2694,c_3908]) ).
tcf(c_4267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(X3,X1)))
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_3908]) ).
tcf(c_4339,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X1)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3913]) ).
tcf(c_4341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(X1,X3)))
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_1778,c_3913]) ).
tcf(c_4343,plain,
! [X0: $i,X1: $i,X2: $i] : mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_2694,c_3913]) ).
tcf(c_4344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(X3,X1)))
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_2700,c_3913]) ).
tcf(c_4360,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X1)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1106,c_3896]) ).
tcf(c_4363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X1,u(X0,X2)),X3)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3896]) ).
tcf(c_4364,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X0,u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),X2) ),
inference(superposition,[status(thm)],[c_1772,c_3896]) ).
tcf(c_4365,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ~ subq(u(X0,u(X1,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2) ),
inference(superposition,[status(thm)],[c_2694,c_3896]) ).
tcf(c_4366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X1,u(X2,X0)),X3)
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3896]) ).
tcf(c_4401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1106,c_3899]) ).
tcf(c_4403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(u(X1,u(X0,X2)),X3),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3899]) ).
tcf(c_4404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_1772,c_3899]) ).
tcf(c_4405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),X3) ),
inference(superposition,[status(thm)],[c_2694,c_3899]) ).
tcf(c_4406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(u(X1,u(X2,X0)),X3),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3899]) ).
tcf(c_4439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_1106,c_4220]) ).
tcf(c_4441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(X1,u(u(X0,X2),X3)),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_4220]) ).
tcf(c_4442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_1772,c_4220]) ).
tcf(c_4443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)),X3) ),
inference(superposition,[status(thm)],[c_2694,c_4220]) ).
tcf(c_4444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(X1,u(u(X2,X0),X3)),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_4220]) ).
tcf(c_4467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_1106,c_4223]) ).
tcf(c_4469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(X1,u(X2,u(X0,X3))),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_4223]) ).
tcf(c_4470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),X3) ),
inference(superposition,[status(thm)],[c_1772,c_4223]) ).
tcf(c_4471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ~ subq(u(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X3) ),
inference(superposition,[status(thm)],[c_2694,c_4223]) ).
tcf(c_4472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X4)
| ~ subq(u(X1,u(X2,u(X3,X0))),X4)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_4223]) ).
tcf(c_4520,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2488]) ).
tcf(c_4528,plain,
! [X0: $i] :
( subq(s(p(X0)),p(e))
| ( p(X0) = p(e) )
| ~ mem(p(X0),p(e)) ),
inference(superposition,[status(thm)],[c_1740,c_56]) ).
tcf(c_4529,plain,
! [X0: $i] :
( subq(s(p(X0)),p(e))
| mem(p(X0),s(p(X0)))
| ( p(X0) = p(e) ) ),
inference(superposition,[status(thm)],[c_1740,c_57]) ).
tcf(c_4530,plain,
! [X0: $i] :
( subq(s(p(X0)),p(e))
| ( p(X0) = p(e) )
| ~ subq(p(X0),e) ),
inference(superposition,[status(thm)],[c_1740,c_1513]) ).
tcf(c_4532,plain,
! [X0: $i,X1: $i] :
( mem(p(X0),X1)
| subq(s(p(X0)),p(e))
| ( p(X0) = p(e) )
| ~ subq(s(p(X0)),X1) ),
inference(superposition,[status(thm)],[c_1740,c_932]) ).
tcf(c_4549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(X1,p(X2)))),p(e)) = u(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_1399,c_3614]) ).
tcf(c_4550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(X1,p(X2)))),p(X3)) = u(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3614]) ).
tcf(c_4552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(X0,u(X1,p(X2))),X3) ),
inference(superposition,[status(thm)],[c_1778,c_3614]) ).
tcf(c_4553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(X0,u(X1,p(X2))),X3)),
inference(superposition,[status(thm)],[c_1772,c_3614]) ).
tcf(c_4554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(X1,u(X2,p(X3))))),
inference(superposition,[status(thm)],[c_2694,c_3614]) ).
tcf(c_4555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(X0,u(X1,p(X2))),X3) ),
inference(superposition,[status(thm)],[c_2700,c_3614]) ).
tcf(c_4611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),p(e)) = u(X1,X2) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_933]) ).
tcf(c_4612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),p(X3)) = u(X1,X2) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_933]) ).
tcf(c_4614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ mem(X3,X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_933]) ).
tcf(c_4615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X1,X2),X3))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_933]) ).
tcf(c_4616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,u(X1,X3)))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_933]) ).
tcf(c_4617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ mem(X3,X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_933]) ).
tcf(c_4665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),p(e)) = u(X2,X1) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_934]) ).
tcf(c_4666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),p(X3)) = u(X2,X1) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_934]) ).
tcf(c_4668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ mem(X3,X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_934]) ).
tcf(c_4669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X2,X1),X3))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_934]) ).
tcf(c_4670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,u(X3,X1)))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_934]) ).
tcf(c_4671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ mem(X3,X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_934]) ).
tcf(c_4710,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),s(X0)) = e ) ),
inference(superposition,[status(thm)],[c_2199,c_52]) ).
tcf(c_4711,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2199,c_58]) ).
tcf(c_4712,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),u(X0,X1)) = e ) ),
inference(superposition,[status(thm)],[c_2199,c_62]) ).
tcf(c_4744,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(p(X0)),p(e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_2299]) ).
tcf(c_4745,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(p(X0)),p(X1)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_2299]) ).
tcf(c_4747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2299]) ).
tcf(c_4748,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_2299]) ).
tcf(c_4752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_2299]) ).
tcf(c_4788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ~ subq(u(u(u(s(X0),X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_2652,c_58]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ subq(X3,e)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2744,c_58]) ).
tcf(c_4800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,p(X2)),X3))
| ~ subq(sK1(X0,u(u(X1,p(X2)),X3)),e) ),
inference(superposition,[status(thm)],[c_2744,c_910]) ).
tcf(c_4801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,p(X3))))
| ~ subq(sK1(X0,u(X1,u(X2,p(X3)))),e) ),
inference(superposition,[status(thm)],[c_2744,c_918]) ).
tcf(c_4818,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1225,c_1180]) ).
tcf(c_4820,plain,
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e) ),
inference(superposition,[status(thm)],[c_1180,c_50]) ).
tcf(c_4821,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_1180,c_52]) ).
tcf(c_4822,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(X0,X1)
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1180,c_58]) ).
tcf(c_4823,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_1180,c_62]) ).
tcf(c_4824,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1180,c_66]) ).
tcf(c_4825,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1180,c_52]) ).
tcf(c_4826,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1180,c_58]) ).
tcf(c_4827,plain,
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))) ),
inference(equality_factoring,[status(thm)],[c_1180]) ).
tcf(c_4888,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3000]) ).
tcf(c_4891,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3000]) ).
tcf(c_4892,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_3000]) ).
tcf(c_4893,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_3000]) ).
tcf(c_4894,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3000]) ).
tcf(c_4942,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3894]) ).
tcf(c_4945,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,u(X0,X2)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3894]) ).
tcf(c_4946,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_3894]) ).
tcf(c_4947,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(X1,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_3894]) ).
tcf(c_4948,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,u(X2,X0)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3894]) ).
tcf(c_4973,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1650,c_66]) ).
tcf(c_4984,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3024]) ).
tcf(c_4986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(X0,X1),X2),X3))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3024]) ).
tcf(c_4987,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_3024]) ).
tcf(c_4988,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_3024]) ).
tcf(c_4989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(X1,X0),X2),X3))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3024]) ).
tcf(c_5012,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_3897]) ).
tcf(c_5014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,u(X0,X2)),X3))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_3897]) ).
tcf(c_5015,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_3897]) ).
tcf(c_5016,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_3897]) ).
tcf(c_5017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,u(X2,X0)),X3))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_3897]) ).
tcf(c_5060,plain,
! [X0: $i] :
( subq(s(p(X0)),p(p(e)))
| ( p(X0) = p(e) )
| ~ mem(p(X0),p(p(e))) ),
inference(superposition,[status(thm)],[c_1741,c_56]) ).
tcf(c_5061,plain,
! [X0: $i] :
( mem(p(X0),s(p(X0)))
| subq(s(p(X0)),p(p(e)))
| ( p(X0) = p(e) ) ),
inference(superposition,[status(thm)],[c_1741,c_57]) ).
tcf(c_5062,plain,
! [X0: $i] :
( subq(s(p(X0)),p(p(e)))
| ( p(X0) = p(e) )
| ~ subq(p(X0),e) ),
inference(superposition,[status(thm)],[c_1741,c_1513]) ).
tcf(c_5064,plain,
! [X0: $i,X1: $i] :
( mem(p(X0),X1)
| subq(s(p(X0)),p(p(e)))
| ( p(X0) = p(e) )
| ~ subq(s(p(X0)),X1) ),
inference(superposition,[status(thm)],[c_1741,c_932]) ).
tcf(c_5079,plain,
! [X0: $i] :
( subq(p(e),s(X0))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_4710,c_56]) ).
tcf(c_5080,plain,
! [X0: $i] :
( mem(e,p(e))
| subq(p(e),s(X0))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_4710,c_57]) ).
tcf(c_5081,plain,
! [X0: $i] :
( subq(e,e)
| subq(p(e),s(X0))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_4710,c_892]) ).
tcf(c_5082,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(p(e),s(X1))
| ( X1 = e )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_4710,c_932]) ).
tcf(c_5083,plain,
! [X0: $i] :
( subq(p(e),s(X0))
| ( X0 = e )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),s(X0)) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_4710,c_1458]) ).
tcf(c_5084,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(p(e),s(X0))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_4710,c_1402]) ).
tcf(c_5103,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| subq(s(X0),e)
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_1101,c_1365]) ).
tcf(c_5104,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(s(X0),s(X2))
| ( X0 = X2 )
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_1102,c_1365]) ).
tcf(c_5105,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1238,c_1365]) ).
tcf(c_5106,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1239,c_1365]) ).
tcf(c_5107,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e))
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1243,c_1365]) ).
tcf(c_5108,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(s(X1)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1244,c_1365]) ).
tcf(c_5109,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(e))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1247,c_1365]) ).
tcf(c_5110,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X1)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1248,c_1365]) ).
tcf(c_5111,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1249,c_1365]) ).
tcf(c_5112,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| subq(s(X0),p(e))
| ( X0 = e )
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_1252,c_1365]) ).
tcf(c_5113,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| subq(s(p(X0)),p(e))
| ( p(X0) = p(e) )
| ~ subq(s(p(X0)),p(X1)) ),
inference(superposition,[status(thm)],[c_1740,c_1365]) ).
tcf(c_5114,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| subq(s(p(X0)),p(p(e)))
| ( p(X0) = p(e) )
| ~ subq(s(p(X0)),p(X1)) ),
inference(superposition,[status(thm)],[c_1741,c_1365]) ).
tcf(c_5115,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_2489,c_1365]) ).
tcf(c_5117,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK1(X0,X2))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_1246]) ).
tcf(c_5118,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,X2)
| ( sK1(X1,X2) = X0 )
| ~ subq(X1,p(X0))
| ~ subq(X0,sK1(X1,X2)) ),
inference(superposition,[status(thm)],[c_1365,c_59]) ).
tcf(c_5120,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK1(X0,X1),X2)
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_1365,c_1360]) ).
tcf(c_5121,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(X0,X1) = e )
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_1365,c_1043]) ).
tcf(c_5122,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,X1) )
| ~ subq(X0,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(X0,X1))) ),
inference(superposition,[status(thm)],[c_1365,c_1046]) ).
tcf(c_5123,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_1365,c_1513]) ).
tcf(c_5235,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_1246]) ).
tcf(c_5236,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(sK1(X1,X0)),X0) = sK1(X1,X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_59]) ).
tcf(c_5237,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(superposition,[status(thm)],[c_1103,c_300]) ).
tcf(c_5238,plain,
sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_1103,c_318]) ).
tcf(c_5239,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(sK1(s(X0),X1)),X1) = sK1(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_931]) ).
tcf(c_5240,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(sK1(p(X0),X1)),X1) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2299]) ).
tcf(c_5241,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X0),X1)),X1) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2278]) ).
tcf(c_5242,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(p(X1),X2)),X2) = sK1(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1103,c_1514]) ).
tcf(c_5243,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(p(X1),X2)),X2) = sK1(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_935]) ).
tcf(c_5244,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(sK1(X0,p(X1)),X1)),X1) = sK1(sK1(X0,p(X1)),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_902]) ).
tcf(c_5245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,X1),X3)),X3) = sK1(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_934]) ).
tcf(c_5246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,X2),X3)),X3) = sK1(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_933]) ).
tcf(c_5247,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),X0) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_3894]) ).
tcf(c_5248,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),X0) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_3000]) ).
tcf(c_5249,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),X1) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1103,c_3896]) ).
tcf(c_5250,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),X0) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_2495]) ).
tcf(c_5251,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),X0) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1103,c_1893]) ).
tcf(c_5252,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),X0) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_962]) ).
tcf(c_5253,plain,
sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)),e) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e),
inference(superposition,[status(thm)],[c_1103,c_960]) ).
tcf(c_5254,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),s(X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_961]) ).
tcf(c_5255,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))),p(X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_963]) ).
tcf(c_5256,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_3897]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_3024]) ).
tcf(c_5258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)),X2) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_1103,c_4223]) ).
tcf(c_5259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_1103,c_4220]) ).
tcf(c_5260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1103,c_3899]) ).
tcf(c_5261,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1103,c_3900]) ).
tcf(c_5262,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_2907]) ).
tcf(c_5263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1103,c_1999]) ).
tcf(c_5264,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1103,c_1894]) ).
tcf(c_5265,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_998]) ).
tcf(c_5266,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)),e) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e),
inference(superposition,[status(thm)],[c_1103,c_996]) ).
tcf(c_5267,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_997]) ).
tcf(c_5268,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_1543]) ).
tcf(c_5269,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_2493]) ).
tcf(c_5270,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_1103,c_2488]) ).
tcf(c_5271,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_1103,c_1071]) ).
tcf(c_5272,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(X0,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_1103,c_1022]) ).
tcf(c_5273,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1))),u(X0,X1)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_1103,c_1023]) ).
tcf(c_5274,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(sK1(X0,e)),e) = sK1(X0,e) ) ),
inference(superposition,[status(thm)],[c_1103,c_1360]) ).
tcf(c_5275,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(s(sK1(X0,e)),e) = sK1(X0,e) ) ),
inference(superposition,[status(thm)],[c_1103,c_1043]) ).
tcf(c_5276,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_1103,c_1046]) ).
tcf(c_5277,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(u(s(X0),X1),X2)),X2) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_1878]) ).
tcf(c_5278,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0)))),p(sK1(p(e),X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0))) ) ),
inference(superposition,[status(thm)],[c_1103,c_1458]) ).
tcf(c_5279,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(sK1(p(X0),p(e))),p(e)) = sK1(p(X0),p(e)) ) ),
inference(superposition,[status(thm)],[c_1103,c_1495]) ).
tcf(c_5280,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(sK1(X0,p(X1)),e)),e) = sK1(sK1(X0,p(X1)),e) ) ),
inference(superposition,[status(thm)],[c_1103,c_1513]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)),X1) = sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1811]) ).
tcf(c_5282,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)),X1) = sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2747]) ).
tcf(c_5283,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(sK1(u(X0,X1),X0)),X0) = sK1(u(X0,X1),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_1807]) ).
tcf(c_5284,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),X1) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_3908]) ).
tcf(c_5285,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),X1) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1954]) ).
tcf(c_5286,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),X1) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1812]) ).
tcf(c_5287,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(p(X0),X1),X2)),X2) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2868]) ).
tcf(c_5288,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2)),X2) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2000]) ).
tcf(c_5289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(u(s(X0),X1),X2),X3)),X3) = sK1(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_2287]) ).
tcf(c_5290,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_2496]) ).
tcf(c_5291,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),X1) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_3913]) ).
tcf(c_5292,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),X1) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2931]) ).
tcf(c_5293,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),X1) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2750]) ).
tcf(c_5294,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(sK1(u(X0,X1),X1)),X1) = sK1(u(X0,X1),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2741]) ).
tcf(c_5295,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)),X2) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2749]) ).
tcf(c_5296,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(sK1(u(X0,s(X1)),X2)),X2) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2872]) ).
tcf(c_5297,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(X0,p(X1)),X2)),X2) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2877]) ).
tcf(c_5298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),X3)),X3) = sK1(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3187]) ).
tcf(c_5299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(p(X0),X1),X2),X3)),X3) = sK1(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3197]) ).
tcf(c_5300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),X3)),X3) = sK1(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3222]) ).
tcf(c_5301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),X3)),X3) = sK1(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3587]) ).
tcf(c_5302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),X3)),X3) = sK1(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3604]) ).
tcf(c_5303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),X3)),X3) = sK1(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3609]) ).
tcf(c_5304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),X3)),X3) = sK1(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_3614]) ).
tcf(c_5671,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1104]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(X1),X0) = X1 )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_1104]) ).
tcf(c_5673,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(X0),p(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_1104]) ).
tcf(c_5674,plain,
! [X0: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_310,c_1104]) ).
tcf(c_5676,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(X1),X2) = X1 )
| ( sK1(s(X0),s(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_1104]) ).
tcf(c_5677,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(p(X1),X2)
| ( sK1(s(X0),sK1(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_892,c_1104]) ).
tcf(c_5679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X1,X3))
| ( sK1(s(X2),X0) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_1104]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(X0),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_1104]) ).
tcf(c_5681,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_1104]) ).
tcf(c_5682,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(p(e),X1) = e )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1069,c_1104]) ).
tcf(c_5683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(X2,X1)
| ( sK1(s(X2),sK1(X0,X3)) = X2 )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_1104]) ).
tcf(c_5684,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| subq(p(e),X1)
| ( sK1(s(X0),sK1(p(e),X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1402,c_1104]) ).
tcf(c_5685,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1455,c_1104]) ).
tcf(c_5686,plain,
! [X0: $i] :
( mem(X0,p(e))
| ( sK1(s(X0),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1600,c_1104]) ).
tcf(c_5687,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ( sK1(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1772,c_1104]) ).
tcf(c_5688,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ( sK1(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_2694,c_1104]) ).
tcf(c_5689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,X1))
| ( sK1(s(X2),X0) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_1104]) ).
tcf(c_5815,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(e))),p(e)) = sK1(X0,p(e)) ) ),
inference(superposition,[status(thm)],[c_1103,c_5123]) ).
tcf(c_5816,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_5123]) ).
tcf(c_5817,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(X0),p(p(e))) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_5123]) ).
tcf(c_5818,plain,
! [X0: $i] : subq(e,p(X0)),
inference(superposition,[status(thm)],[c_873,c_5123]) ).
tcf(c_5819,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),p(X1))
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_5123]) ).
tcf(c_5820,plain,
! [X0: $i,X1: $i] :
( subq(p(p(e)),X0)
| subq(sK1(p(p(e)),X0),p(X1)) ),
inference(superposition,[status(thm)],[c_892,c_5123]) ).
tcf(c_5822,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_5123]) ).
tcf(c_5823,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_999,c_5123]) ).
tcf(c_5825,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK1(X0,X1),p(X2))
| ~ subq(X0,p(p(e))) ),
inference(superposition,[status(thm)],[c_1365,c_5123]) ).
tcf(c_5826,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| subq(sK1(p(e),X0),p(X1)) ),
inference(superposition,[status(thm)],[c_1402,c_5123]) ).
tcf(c_5828,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1600,c_5123]) ).
tcf(c_5862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ subq(X3,X1)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2745,c_58]) ).
tcf(c_5864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,p(X2)),X3))
| ~ subq(sK1(X0,u(u(X1,p(X2)),X3)),X2) ),
inference(superposition,[status(thm)],[c_2745,c_910]) ).
tcf(c_5865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,p(X3))))
| ~ subq(sK1(X0,u(X1,u(X2,p(X3)))),X3) ),
inference(superposition,[status(thm)],[c_2745,c_918]) ).
tcf(c_5893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ~ subq(u(X0,u(u(s(X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2759,c_58]) ).
tcf(c_5898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(u(u(p(e),X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_3438,c_58]) ).
tcf(c_5899,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(u(p(e),X0),X1)) ),
inference(superposition,[status(thm)],[c_3438,c_62]) ).
tcf(c_5907,plain,
! [X0: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5674,c_56]) ).
tcf(c_5908,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5674,c_58]) ).
tcf(c_5909,plain,
! [X0: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_5674,c_62]) ).
tcf(c_5910,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5674,c_910]) ).
tcf(c_5911,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5674,c_918]) ).
tcf(c_5928,plain,
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_5237,c_56]) ).
tcf(c_5929,plain,
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
inference(superposition,[status(thm)],[c_5237,c_57]) ).
tcf(c_5930,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_5237,c_1365]) ).
tcf(c_5931,plain,
! [X0: $i] :
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X0) ),
inference(superposition,[status(thm)],[c_5237,c_932]) ).
tcf(c_5960,plain,
! [X0: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_5909,c_52]) ).
tcf(c_5961,plain,
! [X0: $i] :
( subq(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(sK1(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5909,c_56]) ).
tcf(c_5962,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_5909,c_58]) ).
tcf(c_5963,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))
| mem(sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5909,c_910]) ).
tcf(c_5964,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(sK1(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5909,c_918]) ).
tcf(c_6015,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_5908]) ).
tcf(c_6017,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_5908]) ).
tcf(c_6019,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_5908]) ).
tcf(c_6020,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1772,c_5908]) ).
tcf(c_6021,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_2694,c_5908]) ).
tcf(c_6022,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_5908]) ).
tcf(c_6073,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))),p(X0)) = sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_5105]) ).
tcf(c_6074,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e)) = s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_5105]) ).
tcf(c_6075,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(X0))) = s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_5105]) ).
tcf(c_6076,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_5105]) ).
tcf(c_6077,plain,
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1600,c_5105]) ).
tcf(c_6078,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6077,c_996]) ).
tcf(c_6124,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),X0) = X1 )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_1104]) ).
tcf(c_6126,plain,
! [X0: $i] :
( ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = X0 )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_59]) ).
tcf(c_6127,plain,
! [X0: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_931]) ).
tcf(c_6128,plain,
! [X0: $i,X1: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2299]) ).
tcf(c_6129,plain,
! [X0: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2278]) ).
tcf(c_6130,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5907,c_1514]) ).
tcf(c_6131,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5907,c_935]) ).
tcf(c_6132,plain,
! [X0: $i] :
( subq(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(sK1(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_902]) ).
tcf(c_6133,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5907,c_934]) ).
tcf(c_6134,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5907,c_933]) ).
tcf(c_6135,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3894]) ).
tcf(c_6137,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5907,c_3896]) ).
tcf(c_6138,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2495]) ).
tcf(c_6139,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5907,c_1893]) ).
tcf(c_6140,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_962]) ).
tcf(c_6142,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3897]) ).
tcf(c_6144,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) ),
inference(superposition,[status(thm)],[c_5907,c_4223]) ).
tcf(c_6145,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2) ),
inference(superposition,[status(thm)],[c_5907,c_4220]) ).
tcf(c_6146,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_5907,c_3899]) ).
tcf(c_6147,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5907,c_3900]) ).
tcf(c_6149,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_5907,c_1999]) ).
tcf(c_6150,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5907,c_1894]) ).
tcf(c_6151,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_998]) ).
tcf(c_6154,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_1878]) ).
tcf(c_6157,plain,
! [X0: $i] :
( ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_1807]) ).
tcf(c_6158,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3908]) ).
tcf(c_6159,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_1954]) ).
tcf(c_6161,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2868]) ).
tcf(c_6163,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2287]) ).
tcf(c_6164,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3913]) ).
tcf(c_6165,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2931]) ).
tcf(c_6167,plain,
! [X0: $i] :
( ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2741]) ).
tcf(c_6169,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2872]) ).
tcf(c_6170,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2877]) ).
tcf(c_6171,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3187]) ).
tcf(c_6172,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(p(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3197]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(p(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3222]) ).
tcf(c_6174,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3587]) ).
tcf(c_6175,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3604]) ).
tcf(c_6176,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,p(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3609]) ).
tcf(c_6177,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,p(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3614]) ).
tcf(c_6364,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1104]) ).
tcf(c_6365,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1246]) ).
tcf(c_6366,plain,
! [X0: $i,X1: $i] :
( ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = X1 )
| ( sK1(s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_59]) ).
tcf(c_6367,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(s(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_931]) ).
tcf(c_6368,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2299]) ).
tcf(c_6369,plain,
! [X0: $i,X1: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2278]) ).
tcf(c_6370,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(p(X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5910,c_1514]) ).
tcf(c_6371,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(p(X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_935]) ).
tcf(c_6372,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)))
| ( sK1(s(sK1(sK1(X0,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_902]) ).
tcf(c_6373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X2,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_934]) ).
tcf(c_6374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X1,X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_933]) ).
tcf(c_6375,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3894]) ).
tcf(c_6377,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ~ subq(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2) ),
inference(superposition,[status(thm)],[c_5910,c_3896]) ).
tcf(c_6379,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_5910,c_1893]) ).
tcf(c_6380,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_962]) ).
tcf(c_6381,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_5908]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3897]) ).
tcf(c_6384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) )
| ~ subq(u(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),X3) ),
inference(superposition,[status(thm)],[c_5910,c_4223]) ).
tcf(c_6385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ~ subq(u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_5910,c_4220]) ).
tcf(c_6386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ~ subq(u(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_5910,c_3899]) ).
tcf(c_6387,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ~ subq(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2) ),
inference(superposition,[status(thm)],[c_5910,c_3900]) ).
tcf(c_6389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_5910,c_1999]) ).
tcf(c_6390,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_5910,c_1894]) ).
tcf(c_6391,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_998]) ).
tcf(c_6394,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(s(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1878]) ).
tcf(c_6395,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1811]) ).
tcf(c_6396,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2747]) ).
tcf(c_6397,plain,
! [X0: $i,X1: $i] :
( ( u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1807]) ).
tcf(c_6398,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3908]) ).
tcf(c_6399,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1954]) ).
tcf(c_6400,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1812]) ).
tcf(c_6401,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(p(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2868]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2000]) ).
tcf(c_6403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(u(s(X0),X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X0),X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2287]) ).
tcf(c_6404,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3913]) ).
tcf(c_6405,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2931]) ).
tcf(c_6406,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2750]) ).
tcf(c_6407,plain,
! [X0: $i,X1: $i] :
( ( u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2741]) ).
tcf(c_6408,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2749]) ).
tcf(c_6409,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,s(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2872]) ).
tcf(c_6410,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2877]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(X1),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3187]) ).
tcf(c_6412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(u(p(X0),X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X0),X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3197]) ).
tcf(c_6413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(p(X1),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3222]) ).
tcf(c_6414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(X1)),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3587]) ).
tcf(c_6415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3604]) ).
tcf(c_6416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,p(X1)),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3609]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,p(X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3614]) ).
tcf(c_6641,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1104]) ).
tcf(c_6642,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1246]) ).
tcf(c_6643,plain,
! [X0: $i,X1: $i] :
( ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X1 )
| ( sK1(s(sK1(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_59]) ).
tcf(c_6644,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(s(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_931]) ).
tcf(c_6645,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2299]) ).
tcf(c_6646,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2278]) ).
tcf(c_6647,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(p(X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5911,c_1514]) ).
tcf(c_6648,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(p(X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_935]) ).
tcf(c_6649,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(sK1(X0,p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_902]) ).
tcf(c_6650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X2,X1),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_934]) ).
tcf(c_6651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X1,X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_933]) ).
tcf(c_6652,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3894]) ).
tcf(c_6653,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3000]) ).
tcf(c_6654,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) ),
inference(superposition,[status(thm)],[c_5911,c_3896]) ).
tcf(c_6655,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2495]) ).
tcf(c_6656,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_5911,c_1893]) ).
tcf(c_6657,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_962]) ).
tcf(c_6658,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_5908]) ).
tcf(c_6659,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3897]) ).
tcf(c_6661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X3) ),
inference(superposition,[status(thm)],[c_5911,c_4223]) ).
tcf(c_6662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)),X3) ),
inference(superposition,[status(thm)],[c_5911,c_4220]) ).
tcf(c_6663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),X3) ),
inference(superposition,[status(thm)],[c_5911,c_3899]) ).
tcf(c_6664,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) ),
inference(superposition,[status(thm)],[c_5911,c_3900]) ).
tcf(c_6665,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2907]) ).
tcf(c_6666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_5911,c_1999]) ).
tcf(c_6667,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_5911,c_1894]) ).
tcf(c_6668,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_998]) ).
tcf(c_6671,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(s(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1878]) ).
tcf(c_6672,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1811]) ).
tcf(c_6673,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2747]) ).
tcf(c_6674,plain,
! [X0: $i,X1: $i] :
( ( u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1807]) ).
tcf(c_6675,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3908]) ).
tcf(c_6676,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1954]) ).
tcf(c_6677,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1812]) ).
tcf(c_6678,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2868]) ).
tcf(c_6679,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2000]) ).
tcf(c_6680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(s(X0),X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X0),X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2287]) ).
tcf(c_6681,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3913]) ).
tcf(c_6682,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2931]) ).
tcf(c_6683,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2750]) ).
tcf(c_6684,plain,
! [X0: $i,X1: $i] :
( ( u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2741]) ).
tcf(c_6685,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2749]) ).
tcf(c_6686,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,s(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2872]) ).
tcf(c_6687,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2877]) ).
tcf(c_6688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(X1),X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3187]) ).
tcf(c_6689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(p(X0),X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X0),X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3197]) ).
tcf(c_6690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(p(X1),X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3222]) ).
tcf(c_6691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(X1)),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3587]) ).
tcf(c_6692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(X2))),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3604]) ).
tcf(c_6693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,p(X1)),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3609]) ).
tcf(c_6694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,p(X2))),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3614]) ).
tcf(c_6956,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X0 )
| ~ mem(u(X0,X1),p(e)) ),
inference(superposition,[status(thm)],[c_2267,c_56]) ).
tcf(c_6957,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(e))
| mem(u(X0,X1),s(u(X0,X1)))
| ( u(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_2267,c_57]) ).
tcf(c_6958,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X0 )
| ~ subq(u(X0,X1),e) ),
inference(superposition,[status(thm)],[c_2267,c_1513]) ).
tcf(c_6960,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X0 )
| ~ subq(s(u(X0,X1)),p(X2)) ),
inference(superposition,[status(thm)],[c_2267,c_1365]) ).
tcf(c_6961,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X0 )
| ~ subq(s(u(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2267,c_932]) ).
tcf(c_8217,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(sK1(X0,s(X1))),s(X1)) = sK1(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_1103,c_1361]) ).
tcf(c_8218,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| ( sK1(X0,X1) = X2 )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_1361]) ).
tcf(c_8219,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(X0),p(s(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_1361]) ).
tcf(c_8221,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(X0),X2)
| ( sK1(s(X0),X2) = X1 )
| ( sK1(s(X0),s(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_1361]) ).
tcf(c_8222,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(s(X0)),X1)
| subq(sK1(p(s(X0)),X1),X2)
| ( sK1(sK1(p(s(X0)),X1),X2) = X0 ) ),
inference(superposition,[status(thm)],[c_892,c_1361]) ).
tcf(c_8224,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_1361]) ).
tcf(c_8225,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_999,c_1361]) ).
tcf(c_8226,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| ( sK1(p(e),X1) = X0 )
| ( sK1(p(e),s(X0)) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_1361]) ).
tcf(c_8227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X2)
| subq(sK1(X0,X2),X3)
| ( sK1(sK1(X0,X2),X3) = X1 )
| ~ subq(X0,p(s(X1))) ),
inference(superposition,[status(thm)],[c_1365,c_1361]) ).
tcf(c_8293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(p(X1),X2),X3)),X3) = sK1(u(p(X1),X2),X3) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1103,c_1937]) ).
tcf(c_8294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),p(e)) = u(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1399,c_1937]) ).
tcf(c_8295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),p(X3)) = u(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1106,c_1937]) ).
tcf(c_8297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ subq(X3,e)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_1937]) ).
tcf(c_8298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(p(X1),X2),X3))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1772,c_1937]) ).
tcf(c_8299,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5907,c_1937]) ).
tcf(c_8300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X1,u(p(X2),X3)))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_2694,c_1937]) ).
tcf(c_8301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ subq(X3,e)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_1937]) ).
tcf(c_8302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(p(X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5910,c_1937]) ).
tcf(c_8303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5911,c_1937]) ).
tcf(c_8383,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),p(X1))
| ( X0 = e )
| ~ mem(X0,p(e)) ),
inference(superposition,[status(thm)],[c_3758,c_5123]) ).
tcf(c_8397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(p(X1),X2),X3)),X3) = sK1(u(p(X1),X2),X3) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_4111]) ).
tcf(c_8398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),p(e)) = u(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_4111]) ).
tcf(c_8399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),p(X3)) = u(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_4111]) ).
tcf(c_8401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ subq(X3,X0)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_4111]) ).
tcf(c_8402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(p(X1),X2),X3))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_4111]) ).
tcf(c_8403,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5907,c_4111]) ).
tcf(c_8404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,u(p(X1),X3)))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_4111]) ).
tcf(c_8405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ subq(X3,X0)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_4111]) ).
tcf(c_8406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(p(X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_4111]) ).
tcf(c_8407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_4111]) ).
tcf(c_8467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(X0,u(u(p(e),X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_3439,c_58]) ).
tcf(c_8480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ~ subq(u(u(X0,u(s(X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_3481,c_58]) ).
tcf(c_8494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ~ subq(u(X0,u(X1,u(s(X2),X3))),X4) ),
inference(superposition,[status(thm)],[c_3482,c_58]) ).
tcf(c_8499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(u(X0,u(p(e),X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_3525,c_58]) ).
tcf(c_8500,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(X0,u(p(e),X1))) ),
inference(superposition,[status(thm)],[c_3525,c_62]) ).
tcf(c_8506,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
inference(superposition,[status(thm)],[c_5238,c_56]) ).
tcf(c_8507,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) ),
inference(superposition,[status(thm)],[c_5238,c_57]) ).
tcf(c_8508,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),e) ),
inference(superposition,[status(thm)],[c_5238,c_1513]) ).
tcf(c_8509,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_5238,c_902]) ).
tcf(c_8510,plain,
! [X0: $i] :
( subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X0)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_5238,c_1365]) ).
tcf(c_8511,plain,
! [X0: $i] :
( mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X0)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),X0) ),
inference(superposition,[status(thm)],[c_5238,c_932]) ).
tcf(c_8567,plain,
~ mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(global_subsumption_just,[status(thm)],[c_5928,c_300,c_1077]) ).
tcf(c_8577,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0))),p(X0)) = sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_5930]) ).
tcf(c_8578,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(e)) = s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_5930]) ).
tcf(c_8579,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(p(X0))) = s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_5930]) ).
tcf(c_8580,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_5930]) ).
tcf(c_8601,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_1225,c_5823]) ).
tcf(c_8602,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ( sK1(s(X0),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_1104]) ).
tcf(c_8603,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_1246]) ).
tcf(c_8604,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = p(X0) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e)))
| ~ subq(p(X0),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_5823,c_59]) ).
tcf(c_8652,plain,
! [X0: $i] :
( ( s(u(u(e,s(e)),s(u(e,s(e))))) = X0 )
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_5960,c_52]) ).
tcf(c_8653,plain,
! [X0: $i] :
( subq(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(sK1(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))) ) ),
inference(superposition,[status(thm)],[c_5960,c_56]) ).
tcf(c_8654,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0) ),
inference(superposition,[status(thm)],[c_5960,c_58]) ).
tcf(c_8655,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X1))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X1)) )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5960,c_910]) ).
tcf(c_8656,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(X0,u(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,s(s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5960,c_918]) ).
tcf(c_8683,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_6020,c_58]) ).
tcf(c_8685,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)) ) ),
inference(superposition,[status(thm)],[c_6020,c_910]) ).
tcf(c_8686,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))) ) ),
inference(superposition,[status(thm)],[c_6020,c_918]) ).
tcf(c_8702,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_6021,c_58]) ).
tcf(c_8704,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_6021,c_910]) ).
tcf(c_8705,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_6021,c_918]) ).
tcf(c_8720,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(X0))
| ( u(X0,X1) = X0 )
| ~ mem(u(X0,X1),p(X0)) ),
inference(superposition,[status(thm)],[c_2268,c_56]) ).
tcf(c_8721,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(X0))
| mem(u(X0,X1),s(u(X0,X1)))
| ( u(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_2268,c_57]) ).
tcf(c_8722,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(X0))
| ( u(X0,X1) = X0 )
| ~ subq(u(X0,X1),e) ),
inference(superposition,[status(thm)],[c_2268,c_1513]) ).
tcf(c_8724,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(X0))
| ( u(X0,X1) = X0 )
| ~ subq(s(u(X0,X1)),p(X2)) ),
inference(superposition,[status(thm)],[c_2268,c_1365]) ).
tcf(c_8725,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(X0))
| ( u(X0,X1) = X0 )
| ~ subq(s(u(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2268,c_932]) ).
tcf(c_8780,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(s(sK1(X0,u(X1,X2))),X1)),X1) = sK1(s(sK1(X0,u(X1,X2))),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_4135]) ).
tcf(c_8781,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),p(e)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1399,c_4135]) ).
tcf(c_8782,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),p(X1)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1106,c_4135]) ).
tcf(c_8785,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_4135]) ).
tcf(c_8786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,X2),X3))
| ~ subq(s(sK1(X0,u(u(X1,X2),X3))),X2) ),
inference(superposition,[status(thm)],[c_2700,c_4135]) ).
tcf(c_8787,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(s(sK1(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_4135]) ).
tcf(c_8788,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(s(sK1(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_4135]) ).
tcf(c_8836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,X2),X3)),X3) = sK1(u(X1,X2),X3) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1103,c_4136]) ).
tcf(c_8837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),p(e)) = u(X1,X2) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1399,c_4136]) ).
tcf(c_8838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),p(X3)) = u(X1,X2) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1106,c_4136]) ).
tcf(c_8840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ subq(s(X3),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_4136]) ).
tcf(c_8841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X1,X2),X3))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1772,c_4136]) ).
tcf(c_8842,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5907,c_4136]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,u(X1,X3)))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_2694,c_4136]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ subq(s(X3),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_4136]) ).
tcf(c_8845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X1,X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_4136]) ).
tcf(c_8846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X1,X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5911,c_4136]) ).
tcf(c_8906,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(X0,X1),X2)),X2) = sK1(u(X0,X1),X2) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_1103,c_4192]) ).
tcf(c_8907,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,X1)),p(e)) = u(X0,X1) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_1399,c_4192]) ).
tcf(c_8908,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,X1)),p(X2)) = u(X0,X1) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_1106,c_4192]) ).
tcf(c_8910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ~ subq(p(e),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_4192]) ).
tcf(c_8911,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X0,X1),X2))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_1772,c_4192]) ).
tcf(c_8912,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_5907,c_4192]) ).
tcf(c_8913,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,u(X0,X2)))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_2694,c_4192]) ).
tcf(c_8914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ~ subq(p(e),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_4192]) ).
tcf(c_8915,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_5910,c_4192]) ).
tcf(c_8916,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_5911,c_4192]) ).
tcf(c_9030,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_4711]) ).
tcf(c_9031,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_4711]) ).
tcf(c_9032,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),p(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_4711]) ).
tcf(c_9033,plain,
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_310,c_4711]) ).
tcf(c_9035,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(X0),X1) = X0 )
| ( sK1(p(e),s(X0)) = e ) ),
inference(superposition,[status(thm)],[c_880,c_4711]) ).
tcf(c_9036,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(p(X0),X1)
| ( sK1(p(e),sK1(p(X0),X1)) = e ) ),
inference(superposition,[status(thm)],[c_892,c_4711]) ).
tcf(c_9038,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(p(e),X0) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_4711]) ).
tcf(c_9039,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_4711]) ).
tcf(c_9040,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_4711]) ).
tcf(c_9042,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| subq(X0,X2)
| ( sK1(p(e),sK1(X0,X2)) = e )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_4711]) ).
tcf(c_9043,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| subq(p(e),X0)
| ( sK1(p(e),sK1(p(e),X0)) = e ) ),
inference(superposition,[status(thm)],[c_1402,c_4711]) ).
tcf(c_9045,plain,
( mem(e,p(e))
| ( sK1(p(e),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1600,c_4711]) ).
tcf(c_9047,plain,
! [X0: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_4711]) ).
tcf(c_9048,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_2694,c_4711]) ).
tcf(c_9049,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(p(e),X0) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_4711]) ).
tcf(c_9051,plain,
! [X0: $i,X1: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_4711]) ).
tcf(c_9052,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_4711]) ).
tcf(c_9151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(u(X0,u(X1,u(p(e),X2))),X3) ),
inference(superposition,[status(thm)],[c_3526,c_58]) ).
tcf(c_9156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(u(u(p(X0),X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_3557,c_58]) ).
tcf(c_9160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(X0,u(u(p(X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_3558,c_58]) ).
tcf(c_9164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(u(X0,u(p(X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_3778,c_58]) ).
tcf(c_9172,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_9033,c_58]) ).
tcf(c_9173,plain,
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_9033,c_62]) ).
tcf(c_9209,plain,
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_9173,c_52]) ).
tcf(c_9210,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_9173,c_58]) ).
tcf(c_9225,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_9172]) ).
tcf(c_9227,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9172]) ).
tcf(c_9229,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_9172]) ).
tcf(c_9230,plain,
! [X0: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1772,c_9172]) ).
tcf(c_9232,plain,
! [X0: $i] :
( mem(e,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_2694,c_9172]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_9172]) ).
tcf(c_9282,plain,
( ( s(u(u(e,s(e)),s(u(e,s(e))))) = e )
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_9209,c_52]) ).
tcf(c_9283,plain,
! [X0: $i] :
( mem(e,X0)
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0) ),
inference(superposition,[status(thm)],[c_9209,c_58]) ).
tcf(c_9296,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_9230,c_58]) ).
tcf(c_9306,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_9232,c_58]) ).
tcf(c_9320,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),X1) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1103,c_5962]) ).
tcf(c_9321,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_5962]) ).
tcf(c_9322,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X1)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_5962]) ).
tcf(c_9323,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_5962]) ).
tcf(c_9325,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_5962]) ).
tcf(c_9326,plain,
! [X0: $i,X1: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1772,c_5962]) ).
tcf(c_9328,plain,
! [X0: $i,X1: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_2694,c_5962]) ).
tcf(c_9329,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_5962]) ).
tcf(c_9330,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_5962]) ).
tcf(c_9331,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_5962]) ).
tcf(c_9420,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0)),X0) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1103,c_9210]) ).
tcf(c_9421,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1399,c_9210]) ).
tcf(c_9422,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1106,c_9210]) ).
tcf(c_9423,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_880,c_9210]) ).
tcf(c_9425,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_9210]) ).
tcf(c_9426,plain,
! [X0: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1772,c_9210]) ).
tcf(c_9428,plain,
! [X0: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_2694,c_9210]) ).
tcf(c_9429,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_9210]) ).
tcf(c_9498,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X1 )
| ~ mem(u(X0,X1),p(e)) ),
inference(superposition,[status(thm)],[c_3177,c_56]) ).
tcf(c_9499,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(e))
| mem(u(X0,X1),s(u(X0,X1)))
| ( u(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_3177,c_57]) ).
tcf(c_9500,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X1 )
| ~ subq(u(X0,X1),e) ),
inference(superposition,[status(thm)],[c_3177,c_1513]) ).
tcf(c_9502,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X1 )
| ~ subq(s(u(X0,X1)),p(X2)) ),
inference(superposition,[status(thm)],[c_3177,c_1365]) ).
tcf(c_9503,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(e))
| ( u(X0,X1) = X1 )
| ~ subq(s(u(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_3177,c_932]) ).
tcf(c_9522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(u(s(X0),X1),X2),X3),X4)),X4) = sK1(u(u(u(s(X0),X1),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_4788]) ).
tcf(c_9523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(u(s(X0),X1),X2),X3)),p(e)) = u(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_4788]) ).
tcf(c_9524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(u(s(X0),X1),X2),X3)),p(X4)) = u(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_4788]) ).
tcf(c_9526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,u(X4,X5))
| ~ subq(u(u(u(s(X0),X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_4788]) ).
tcf(c_9527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(u(u(s(X0),X1),X2),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_4788]) ).
tcf(c_9528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(s(X0),X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(X0),X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_4788]) ).
tcf(c_9529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(u(u(s(X0),X2),X3),X4))),
inference(superposition,[status(thm)],[c_2694,c_4788]) ).
tcf(c_9530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,u(X5,X4))
| ~ subq(u(u(u(s(X0),X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_4788]) ).
tcf(c_9531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(u(s(X0),X1),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(X0),X1),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_4788]) ).
tcf(c_9532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(u(s(X0),X1),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(X0),X1),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_4788]) ).
tcf(c_9613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,p(X2)),X3)),X3) = sK1(u(X1,p(X2)),X3) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1103,c_4798]) ).
tcf(c_9614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,p(X2))),p(e)) = u(X1,p(X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1399,c_4798]) ).
tcf(c_9615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,p(X2))),p(X3)) = u(X1,p(X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1106,c_4798]) ).
tcf(c_9617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ subq(X3,e)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_4798]) ).
tcf(c_9618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X1,p(X2)),X3))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1772,c_4798]) ).
tcf(c_9619,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5907,c_4798]) ).
tcf(c_9620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X1,u(X2,p(X3))))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_2694,c_4798]) ).
tcf(c_9621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ subq(X3,e)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_4798]) ).
tcf(c_9622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X1,p(X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5910,c_4798]) ).
tcf(c_9623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X1,p(X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_5911,c_4798]) ).
tcf(c_9683,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(X0))
| ( X0 = e )
| ( sK1(s(X1),p(e)) = X1 )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_1104]) ).
tcf(c_9684,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(X0))
| ( X0 = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_1246]) ).
tcf(c_9685,plain,
! [X0: $i] :
( ( X0 = e )
| ( s(X0) = p(e) )
| ~ mem(e,s(X0))
| ~ subq(s(X0),p(e)) ),
inference(superposition,[status(thm)],[c_5079,c_59]) ).
tcf(c_9686,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(X0),X1))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_2299]) ).
tcf(c_9688,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(X0))
| ( X0 = e )
| ~ subq(X1,e)
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_1514]) ).
tcf(c_9690,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| ( X0 = e )
| ( sK1(p(e),X1) = X0 )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_1361]) ).
tcf(c_9720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,p(X1)),X3)),X3) = sK1(u(X2,p(X1)),X3) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_5862]) ).
tcf(c_9721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,p(X1))),p(e)) = u(X2,p(X1)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_5862]) ).
tcf(c_9722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,p(X1))),p(X3)) = u(X2,p(X1)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_5862]) ).
tcf(c_9724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ subq(X3,X1)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_5862]) ).
tcf(c_9725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X2,p(X1)),X3))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_5862]) ).
tcf(c_9726,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5907,c_5862]) ).
tcf(c_9727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,u(X3,p(X1))))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_5862]) ).
tcf(c_9728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ subq(X3,X1)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_5862]) ).
tcf(c_9729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X2,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_5862]) ).
tcf(c_9730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X2,p(X1)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X1)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_5862]) ).
tcf(c_9778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(X0,u(X1,u(p(X2),X3))),X4) ),
inference(superposition,[status(thm)],[c_3779,c_58]) ).
tcf(c_9782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ~ subq(u(u(u(X0,s(X1)),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_3794,c_58]) ).
tcf(c_9787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ~ subq(u(X0,u(u(X1,s(X2)),X3)),X4) ),
inference(superposition,[status(thm)],[c_3795,c_58]) ).
tcf(c_9792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ~ subq(u(u(X0,u(X1,s(X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_3829,c_58]) ).
tcf(c_9829,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_5681]) ).
tcf(c_9831,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_5681]) ).
tcf(c_9846,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_6019]) ).
tcf(c_9848,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_6019]) ).
tcf(c_9850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(u(X0,X2),X3))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_6019]) ).
tcf(c_9851,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1772,c_6019]) ).
tcf(c_9853,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_2694,c_6019]) ).
tcf(c_9854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(u(X2,X0),X3))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_6019]) ).
tcf(c_9855,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_6019]) ).
tcf(c_9856,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_6019]) ).
tcf(c_9888,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_6022]) ).
tcf(c_9890,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_6022]) ).
tcf(c_9892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,u(X0,X3)))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_6022]) ).
tcf(c_9893,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_1772,c_6022]) ).
tcf(c_9895,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_2694,c_6022]) ).
tcf(c_9896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,u(X3,X0)))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_6022]) ).
tcf(c_9897,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_6022]) ).
tcf(c_9898,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_6022]) ).
tcf(c_9972,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_9040]) ).
tcf(c_9974,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9040]) ).
tcf(c_9989,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_9229]) ).
tcf(c_9991,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9229]) ).
tcf(c_9993,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X0,X1),X2))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_9229]) ).
tcf(c_9994,plain,
! [X0: $i,X1: $i] :
( mem(e,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1772,c_9229]) ).
tcf(c_9996,plain,
! [X0: $i,X1: $i] :
( mem(e,u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_2694,c_9229]) ).
tcf(c_9997,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X1,X0),X2))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_9229]) ).
tcf(c_10036,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_9233]) ).
tcf(c_10038,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9233]) ).
tcf(c_10040,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,u(X0,X2)))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_9233]) ).
tcf(c_10041,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_1772,c_9233]) ).
tcf(c_10043,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_2694,c_9233]) ).
tcf(c_10044,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,u(X2,X0)))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_9233]) ).
tcf(c_10045,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9233]) ).
tcf(c_10046,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9233]) ).
tcf(c_10101,plain,
~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),
inference(global_subsumption_just,[status(thm)],[c_6078,c_996,c_2863]) ).
tcf(c_10123,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_52]) ).
tcf(c_10124,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,X1)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6017,c_56]) ).
tcf(c_10125,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6017,c_58]) ).
tcf(c_10126,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| mem(X2,X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_62]) ).
tcf(c_10127,plain,
! [X0: $i,X1: $i] :
( subq(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_66]) ).
tcf(c_10128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_6017,c_910]) ).
tcf(c_10129,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_6017,c_918]) ).
tcf(c_10130,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_1586]) ).
tcf(c_10131,plain,
( ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_2023]) ).
tcf(c_10133,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_10101]) ).
tcf(c_10134,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_2486]) ).
tcf(c_10206,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(X1))
| ( u(X0,X1) = X1 )
| ~ mem(u(X0,X1),p(X1)) ),
inference(superposition,[status(thm)],[c_3178,c_56]) ).
tcf(c_10207,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(X1))
| mem(u(X0,X1),s(u(X0,X1)))
| ( u(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_3178,c_57]) ).
tcf(c_10208,plain,
! [X0: $i,X1: $i] :
( subq(s(u(X0,X1)),p(X1))
| ( u(X0,X1) = X1 )
| ~ subq(u(X0,X1),e) ),
inference(superposition,[status(thm)],[c_3178,c_1513]) ).
tcf(c_10210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(X1))
| ( u(X0,X1) = X1 )
| ~ subq(s(u(X0,X1)),p(X2)) ),
inference(superposition,[status(thm)],[c_3178,c_1365]) ).
tcf(c_10211,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| subq(s(u(X0,X1)),p(X1))
| ( u(X0,X1) = X1 )
| ~ subq(s(u(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_3178,c_932]) ).
tcf(c_10240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(X0,u(u(s(X1),X2),X3)),X4)),X4) = sK1(u(X0,u(u(s(X1),X2),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_5893]) ).
tcf(c_10241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(X0,u(u(s(X1),X2),X3))),p(e)) = u(X0,u(u(s(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1399,c_5893]) ).
tcf(c_10242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(X0,u(u(s(X1),X2),X3))),p(X4)) = u(X0,u(u(s(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1106,c_5893]) ).
tcf(c_10244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(X4,X5))
| ~ subq(u(X0,u(u(s(X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1778,c_5893]) ).
tcf(c_10245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(X1,u(u(s(X0),X2),X3)),X4)),
inference(superposition,[status(thm)],[c_1772,c_5893]) ).
tcf(c_10246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(s(X1),X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(X1),X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_5893]) ).
tcf(c_10247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(X2,u(u(s(X0),X3),X4)))),
inference(superposition,[status(thm)],[c_2694,c_5893]) ).
tcf(c_10248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(X5,X4))
| ~ subq(u(X0,u(u(s(X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2700,c_5893]) ).
tcf(c_10249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(u(s(X1),X2),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(X1),X2),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_5893]) ).
tcf(c_10250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(u(s(X1),X2),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(X1),X2),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_5893]) ).
tcf(c_10289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(u(p(e),X0),X1),X2),X3)),X3) = sK1(u(u(u(p(e),X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_5898]) ).
tcf(c_10290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(u(p(e),X0),X1),X2)),p(e)) = u(u(u(p(e),X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1399,c_5898]) ).
tcf(c_10291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(u(p(e),X0),X1),X2)),p(X3)) = u(u(u(p(e),X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1106,c_5898]) ).
tcf(c_10293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(u(u(p(e),X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_5898]) ).
tcf(c_10294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(u(u(p(e),X0),X1),X2),X3)),
inference(superposition,[status(thm)],[c_1772,c_5898]) ).
tcf(c_10295,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(p(e),X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(e),X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_5898]) ).
tcf(c_10296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(u(u(p(e),X1),X2),X3))),
inference(superposition,[status(thm)],[c_2694,c_5898]) ).
tcf(c_10297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(u(u(p(e),X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_5898]) ).
tcf(c_10298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(u(u(p(e),X0),X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(e),X0),X1),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_5898]) ).
tcf(c_10299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(u(p(e),X0),X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(e),X0),X1),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_5898]) ).
tcf(c_10361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(u(p(e),X1),X2)),X3)),X3) = sK1(u(X0,u(u(p(e),X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_8467]) ).
tcf(c_10362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(u(p(e),X1),X2))),p(e)) = u(X0,u(u(p(e),X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1399,c_8467]) ).
tcf(c_10363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(u(p(e),X1),X2))),p(X3)) = u(X0,u(u(p(e),X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1106,c_8467]) ).
tcf(c_10365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(X0,u(u(p(e),X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_1778,c_8467]) ).
tcf(c_10366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(X0,u(u(p(e),X1),X2)),X3)),
inference(superposition,[status(thm)],[c_1772,c_8467]) ).
tcf(c_10367,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(p(e),X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(p(e),X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_8467]) ).
tcf(c_10368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(X1,u(u(p(e),X2),X3)))),
inference(superposition,[status(thm)],[c_2694,c_8467]) ).
tcf(c_10369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(X0,u(u(p(e),X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_2700,c_8467]) ).
tcf(c_10370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(u(p(e),X1),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(p(e),X1),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_8467]) ).
tcf(c_10371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(u(p(e),X1),X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(p(e),X1),X2)),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_8467]) ).
tcf(c_10466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(u(X0,u(s(X1),X2)),X3),X4)),X4) = sK1(u(u(X0,u(s(X1),X2)),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_8480]) ).
tcf(c_10467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(X0,u(s(X1),X2)),X3)),p(e)) = u(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_8480]) ).
tcf(c_10468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(X0,u(s(X1),X2)),X3)),p(X4)) = u(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_8480]) ).
tcf(c_10470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(X4,X5))
| ~ subq(u(u(X0,u(s(X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_8480]) ).
tcf(c_10471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(u(X1,u(s(X0),X2)),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_8480]) ).
tcf(c_10472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(s(X1),X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(X1),X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_8480]) ).
tcf(c_10473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(u(X2,u(s(X0),X3)),X4))),
inference(superposition,[status(thm)],[c_2694,c_8480]) ).
tcf(c_10474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(X5,X4))
| ~ subq(u(u(X0,u(s(X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_8480]) ).
tcf(c_10475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(X0,u(s(X1),X2)),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(X1),X2)),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_8480]) ).
tcf(c_10476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,u(s(X1),X2)),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(X1),X2)),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_8480]) ).
tcf(c_10533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ~ subq(u(X0,u(X1,u(X2,s(X3)))),X4) ),
inference(superposition,[status(thm)],[c_3830,c_58]) ).
tcf(c_10538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(u(u(X0,p(X1)),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_3855,c_58]) ).
tcf(c_10543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(X0,u(u(X1,p(X2)),X3)),X4) ),
inference(superposition,[status(thm)],[c_3856,c_58]) ).
tcf(c_10552,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ~ subq(s(sK1(X0,u(X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_3889,c_56]) ).
tcf(c_10553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ~ subq(s(X3),X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_3889,c_58]) ).
tcf(c_10556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,X3)))
| ~ subq(s(sK1(X0,u(X1,u(X2,X3)))),X3) ),
inference(superposition,[status(thm)],[c_3889,c_918]) ).
tcf(c_10584,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0)))),p(s(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ) ),
inference(superposition,[status(thm)],[c_1103,c_8225]) ).
tcf(c_10586,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_8225]) ).
tcf(c_10602,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_9227,c_52]) ).
tcf(c_10603,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_9227,c_58]) ).
tcf(c_10604,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_9227,c_62]) ).
tcf(c_10624,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1103,c_5265]) ).
tcf(c_10625,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(e)) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_5265]) ).
tcf(c_10626,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(X1)) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_5265]) ).
tcf(c_10628,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)),e) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ) ),
inference(superposition,[status(thm)],[c_873,c_5265]) ).
tcf(c_10629,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_880,c_5265]) ).
tcf(c_10630,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(p(X0),X1))),sK1(p(X0),X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(p(X0),X1)) ) ),
inference(superposition,[status(thm)],[c_892,c_5265]) ).
tcf(c_10631,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_901,c_5265]) ).
tcf(c_10632,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_5265]) ).
tcf(c_10633,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_5265]) ).
tcf(c_10634,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_5265]) ).
tcf(c_10635,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_1069,c_5265]) ).
tcf(c_10636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(X0,X2))),sK1(X0,X2)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(X0,X2)) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_5265]) ).
tcf(c_10637,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(p(e),X0))),sK1(p(e),X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(p(e),X0)) ) ),
inference(superposition,[status(thm)],[c_1402,c_5265]) ).
tcf(c_10638,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_1455,c_5265]) ).
tcf(c_10639,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,X1))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_1772,c_5265]) ).
tcf(c_10641,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X0))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_2694,c_5265]) ).
tcf(c_10642,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_5265]) ).
tcf(c_10643,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(X0))
| ( X0 = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_5265]) ).
tcf(c_10644,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_5265]) ).
tcf(c_10645,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_5265]) ).
tcf(c_10646,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_5265]) ).
tcf(c_10767,plain,
! [X0: $i] :
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)),s(X0)) ),
inference(superposition,[status(thm)],[c_5267,c_56]) ).
tcf(c_10768,plain,
! [X0: $i] :
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0))
| mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)),s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_5267,c_57]) ).
tcf(c_10769,plain,
! [X0: $i,X1: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)),X1)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),p(X1)) ),
inference(superposition,[status(thm)],[c_5267,c_1365]) ).
tcf(c_10770,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)),X1)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),X1) ),
inference(superposition,[status(thm)],[c_5267,c_932]) ).
tcf(c_10791,plain,
! [X0: $i] :
( ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)),e) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ) ),
inference(superposition,[status(thm)],[c_6015,c_50]) ).
tcf(c_10792,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_6015,c_52]) ).
tcf(c_10793,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(X0,X1)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6015,c_56]) ).
tcf(c_10794,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6015,c_58]) ).
tcf(c_10795,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| mem(X2,X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(X0,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_6015,c_62]) ).
tcf(c_10796,plain,
! [X0: $i,X1: $i] :
( subq(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_6015,c_66]) ).
tcf(c_10797,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_6015,c_910]) ).
tcf(c_10798,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)),X2) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_6015,c_918]) ).
tcf(c_10799,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_6015,c_1586]) ).
tcf(c_10800,plain,
( ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ) ),
inference(superposition,[status(thm)],[c_6015,c_2023]) ).
tcf(c_10802,plain,
( ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6015,c_10101]) ).
tcf(c_10803,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6015,c_2486]) ).
tcf(c_10869,plain,
( ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)),e) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ) ),
inference(superposition,[status(thm)],[c_9225,c_50]) ).
tcf(c_10870,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_9225,c_52]) ).
tcf(c_10871,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_9225,c_58]) ).
tcf(c_10872,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(X0,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_9225,c_62]) ).
tcf(c_10893,plain,
! [X0: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK1(s(sK1(s(X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1102,c_5961]) ).
tcf(c_10894,plain,
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(p(e),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(s(sK1(p(e),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_4710,c_5961]) ).
tcf(c_10895,plain,
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(s(sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5267,c_5961]) ).
tcf(c_10896,plain,
! [X0: $i] :
( subq(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5961,c_52]) ).
tcf(c_10897,plain,
! [X0: $i,X1: $i] :
( subq(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0) ),
inference(superposition,[status(thm)],[c_5961,c_58]) ).
tcf(c_10924,plain,
! [X0: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6127,c_56]) ).
tcf(c_10925,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(sK1(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6127,c_58]) ).
tcf(c_10926,plain,
! [X0: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6127,c_62]) ).
tcf(c_10928,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6127,c_918]) ).
tcf(c_10948,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0)))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_3247,c_56]) ).
tcf(c_10949,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0)))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_3247,c_57]) ).
tcf(c_10951,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0)))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_3247,c_902]) ).
tcf(c_10952,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X1)))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X1 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_3247,c_1365]) ).
tcf(c_10953,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X1)))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X1 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_3247,c_932]) ).
tcf(c_11022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(s(X2),X3))),X4)),X4) = sK1(u(X0,u(X1,u(s(X2),X3))),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_8494]) ).
tcf(c_11023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(X1,u(s(X2),X3)))),p(e)) = u(X0,u(X1,u(s(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_1399,c_8494]) ).
tcf(c_11024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(X1,u(s(X2),X3)))),p(X4)) = u(X0,u(X1,u(s(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_1106,c_8494]) ).
tcf(c_11026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,u(X4,X5))
| ~ subq(u(X0,u(X1,u(s(X2),X3))),X4) ),
inference(superposition,[status(thm)],[c_1778,c_8494]) ).
tcf(c_11027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(X1,u(X2,u(s(X0),X3))),X4)),
inference(superposition,[status(thm)],[c_1772,c_8494]) ).
tcf(c_11028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(s(X2),X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(X2),X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_8494]) ).
tcf(c_11029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(X2,u(X3,u(s(X0),X4))))),
inference(superposition,[status(thm)],[c_2694,c_8494]) ).
tcf(c_11030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,u(X5,X4))
| ~ subq(u(X0,u(X1,u(s(X2),X3))),X4) ),
inference(superposition,[status(thm)],[c_2700,c_8494]) ).
tcf(c_11031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(X1,u(s(X2),X3))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(X2),X3))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_8494]) ).
tcf(c_11032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(s(X2),X3))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(X2),X3))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_8494]) ).
tcf(c_11061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(X0,u(p(e),X1)),X2),X3)),X3) = sK1(u(u(X0,u(p(e),X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_8499]) ).
tcf(c_11062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(X0,u(p(e),X1)),X2)),p(e)) = u(u(X0,u(p(e),X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1399,c_8499]) ).
tcf(c_11063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(X0,u(p(e),X1)),X2)),p(X3)) = u(u(X0,u(p(e),X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1106,c_8499]) ).
tcf(c_11065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(u(X0,u(p(e),X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_8499]) ).
tcf(c_11066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(u(X0,u(p(e),X1)),X2),X3)),
inference(superposition,[status(thm)],[c_1772,c_8499]) ).
tcf(c_11067,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(p(e),X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(p(e),X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_8499]) ).
tcf(c_11068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(u(X1,u(p(e),X2)),X3))),
inference(superposition,[status(thm)],[c_2694,c_8499]) ).
tcf(c_11069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(u(X0,u(p(e),X1)),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_8499]) ).
tcf(c_11070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(u(X0,u(p(e),X1)),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(p(e),X1)),X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_8499]) ).
tcf(c_11071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,u(p(e),X1)),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(p(e),X1)),X2),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_8499]) ).
tcf(c_11139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(X1,u(p(e),X2))),X3)),X3) = sK1(u(X0,u(X1,u(p(e),X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1103,c_9151]) ).
tcf(c_11140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(X1,u(p(e),X2)))),p(e)) = u(X0,u(X1,u(p(e),X2))) ) ),
inference(superposition,[status(thm)],[c_1399,c_9151]) ).
tcf(c_11141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(X1,u(p(e),X2)))),p(X3)) = u(X0,u(X1,u(p(e),X2))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9151]) ).
tcf(c_11143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| ~ subq(u(X0,u(X1,u(p(e),X2))),X3) ),
inference(superposition,[status(thm)],[c_1778,c_9151]) ).
tcf(c_11144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(u(X0,u(X1,u(p(e),X2))),X3)),
inference(superposition,[status(thm)],[c_1772,c_9151]) ).
tcf(c_11145,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(p(e),X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(p(e),X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9151]) ).
tcf(c_11146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(e,u(X0,u(X1,u(X2,u(p(e),X3))))),
inference(superposition,[status(thm)],[c_2694,c_9151]) ).
tcf(c_11147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| ~ subq(u(X0,u(X1,u(p(e),X2))),X3) ),
inference(superposition,[status(thm)],[c_2700,c_9151]) ).
tcf(c_11148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(X1,u(p(e),X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(p(e),X2))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9151]) ).
tcf(c_11149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(p(e),X2))),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(p(e),X2))),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9151]) ).
tcf(c_11213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(u(p(X0),X1),X2),X3),X4)),X4) = sK1(u(u(u(p(X0),X1),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9156]) ).
tcf(c_11214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(p(X0),X1),X2),X3)),p(e)) = u(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_9156]) ).
tcf(c_11215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(p(X0),X1),X2),X3)),p(X4)) = u(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_9156]) ).
tcf(c_11217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(u(u(p(X0),X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9156]) ).
tcf(c_11218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(u(u(p(X0),X1),X2),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_9156]) ).
tcf(c_11219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(p(X0),X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(X0),X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9156]) ).
tcf(c_11220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(u(u(p(X1),X2),X3),X4))),
inference(superposition,[status(thm)],[c_2694,c_9156]) ).
tcf(c_11221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(u(u(p(X0),X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9156]) ).
tcf(c_11222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(u(p(X0),X1),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(X0),X1),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9156]) ).
tcf(c_11223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(u(p(X0),X1),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(X0),X1),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9156]) ).
tcf(c_11269,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(s(sK1(p(X0),X1)),X1) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_3890]) ).
tcf(c_11271,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(s(p(X0)),p(X1)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_3890]) ).
tcf(c_11273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,u(X1,X3)))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_3890]) ).
tcf(c_11277,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3890]) ).
tcf(c_11279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,u(X3,X1)))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_3890]) ).
tcf(c_11280,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,s(X0)))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_3890]) ).
tcf(c_11281,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)))
| ( sK1(s(sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3890]) ).
tcf(c_11282,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3890]) ).
tcf(c_11348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(u(X0,u(X1,p(X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_4553,c_58]) ).
tcf(c_11353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ~ subq(u(X0,u(X1,u(X2,p(X3)))),X4) ),
inference(superposition,[status(thm)],[c_4554,c_58]) ).
tcf(c_11366,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6129,c_58]) ).
tcf(c_11367,plain,
! [X0: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6129,c_62]) ).
tcf(c_11397,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))
| ( sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5963,c_52]) ).
tcf(c_11398,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2))
| mem(sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)),X0)
| ( sK1(s(sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)) )
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0) ),
inference(superposition,[status(thm)],[c_5963,c_58]) ).
tcf(c_11399,plain,
! [X0: $i] :
( subq(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5963,c_918]) ).
tcf(c_11418,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5964,c_52]) ).
tcf(c_11419,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0) ),
inference(superposition,[status(thm)],[c_5964,c_58]) ).
tcf(c_11434,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_6128,c_58]) ).
tcf(c_11444,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_11277,c_58]) ).
tcf(c_11456,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))),p(X0)) = sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_5106]) ).
tcf(c_11457,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(e)) = s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_5106]) ).
tcf(c_11458,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(p(X0))) = s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_5106]) ).
tcf(c_11459,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_5106]) ).
tcf(c_11508,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e) ),
inference(superposition,[status(thm)],[c_6130,c_56]) ).
tcf(c_11509,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X0)
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X1,e)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6130,c_58]) ).
tcf(c_11510,plain,
! [X0: $i,X1: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_6130,c_62]) ).
tcf(c_11511,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),e) ),
inference(superposition,[status(thm)],[c_6130,c_910]) ).
tcf(c_11512,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e) ),
inference(superposition,[status(thm)],[c_6130,c_918]) ).
tcf(c_11558,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,X0)),X0) = sK1(X1,X0) )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_6131]) ).
tcf(c_11559,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_6131]) ).
tcf(c_11560,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_6131]) ).
tcf(c_11561,plain,
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_310,c_6131]) ).
tcf(c_11563,plain,
! [X0: $i,X1: $i] :
( mem(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),X0) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_6131]) ).
tcf(c_11564,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| mem(sK1(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_892,c_6131]) ).
tcf(c_11565,plain,
! [X0: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_6131]) ).
tcf(c_11566,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_6131]) ).
tcf(c_11569,plain,
! [X0: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1069,c_6131]) ).
tcf(c_11570,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK1(X0,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_6131]) ).
tcf(c_11571,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| mem(sK1(p(e),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1402,c_6131]) ).
tcf(c_11572,plain,
! [X0: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(p(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(p(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1455,c_6131]) ).
tcf(c_11573,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X0,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X0,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_6131]) ).
tcf(c_11574,plain,
! [X0: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_6131]) ).
tcf(c_11575,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X0,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X0,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_6131]) ).
tcf(c_11576,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X2,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X2,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_6131]) ).
tcf(c_11577,plain,
! [X0: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( X0 = e )
| ( sK1(s(sK1(p(s(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(s(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_6131]) ).
tcf(c_11579,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5910,c_6131]) ).
tcf(c_11580,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(p(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_6131]) ).
tcf(c_11725,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0)))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(X0))) ),
inference(superposition,[status(thm)],[c_3660,c_56]) ).
tcf(c_11726,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X0)))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_3660,c_57]) ).
tcf(c_11729,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X1)))
| ( sK1(s(X1),p(e)) = X1 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_3660,c_1365]) ).
tcf(c_11730,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(X1)))
| ( sK1(s(X1),p(e)) = X1 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_3660,c_932]) ).
tcf(c_11796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(u(p(X1),X2),X3)),X4)),X4) = sK1(u(X0,u(u(p(X1),X2),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9160]) ).
tcf(c_11797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(p(X1),X2),X3))),p(e)) = u(X0,u(u(p(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1399,c_9160]) ).
tcf(c_11798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(p(X1),X2),X3))),p(X4)) = u(X0,u(u(p(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1106,c_9160]) ).
tcf(c_11800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(X0,u(u(p(X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9160]) ).
tcf(c_11801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(X0,u(u(p(X1),X2),X3)),X4)),
inference(superposition,[status(thm)],[c_1772,c_9160]) ).
tcf(c_11802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(p(X1),X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(p(X1),X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9160]) ).
tcf(c_11803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(X1,u(u(p(X2),X3),X4)))),
inference(superposition,[status(thm)],[c_2694,c_9160]) ).
tcf(c_11804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(X0,u(u(p(X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9160]) ).
tcf(c_11805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(u(p(X1),X2),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(p(X1),X2),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9160]) ).
tcf(c_11806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(u(p(X1),X2),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(p(X1),X2),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9160]) ).
tcf(c_11836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(X0,u(p(X1),X2)),X3),X4)),X4) = sK1(u(u(X0,u(p(X1),X2)),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9164]) ).
tcf(c_11837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(p(X1),X2)),X3)),p(e)) = u(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_9164]) ).
tcf(c_11838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(p(X1),X2)),X3)),p(X4)) = u(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_9164]) ).
tcf(c_11840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(u(X0,u(p(X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9164]) ).
tcf(c_11841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(u(X0,u(p(X1),X2)),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_9164]) ).
tcf(c_11842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(p(X1),X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(p(X1),X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9164]) ).
tcf(c_11843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(u(X1,u(p(X2),X3)),X4))),
inference(superposition,[status(thm)],[c_2694,c_9164]) ).
tcf(c_11844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(u(X0,u(p(X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9164]) ).
tcf(c_11845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(X0,u(p(X1),X2)),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(p(X1),X2)),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9164]) ).
tcf(c_11846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,u(p(X1),X2)),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(p(X1),X2)),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9164]) ).
tcf(c_11937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(p(X2),X3))),X4)),X4) = sK1(u(X0,u(X1,u(p(X2),X3))),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9778]) ).
tcf(c_11938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(p(X2),X3)))),p(e)) = u(X0,u(X1,u(p(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_1399,c_9778]) ).
tcf(c_11939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(p(X2),X3)))),p(X4)) = u(X0,u(X1,u(p(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9778]) ).
tcf(c_11941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(X0,u(X1,u(p(X2),X3))),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9778]) ).
tcf(c_11942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(X0,u(X1,u(p(X2),X3))),X4)),
inference(superposition,[status(thm)],[c_1772,c_9778]) ).
tcf(c_11943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(p(X2),X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(p(X2),X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9778]) ).
tcf(c_11944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(X1,u(X2,u(p(X3),X4))))),
inference(superposition,[status(thm)],[c_2694,c_9778]) ).
tcf(c_11945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(X0,u(X1,u(p(X2),X3))),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9778]) ).
tcf(c_11946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(X1,u(p(X2),X3))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(p(X2),X3))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9778]) ).
tcf(c_11947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(p(X2),X3))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(p(X2),X3))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9778]) ).
tcf(c_11980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(u(u(X0,s(X1)),X2),X3),X4)),X4) = sK1(u(u(u(X0,s(X1)),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9782]) ).
tcf(c_11981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(u(X0,s(X1)),X2),X3)),p(e)) = u(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_9782]) ).
tcf(c_11982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(u(X0,s(X1)),X2),X3)),p(X4)) = u(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_9782]) ).
tcf(c_11984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(X4,X5))
| ~ subq(u(u(u(X0,s(X1)),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9782]) ).
tcf(c_11985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(u(u(X1,s(X0)),X2),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_9782]) ).
tcf(c_11986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X0,s(X1)),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,s(X1)),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9782]) ).
tcf(c_11987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(u(u(X2,s(X0)),X3),X4))),
inference(superposition,[status(thm)],[c_2694,c_9782]) ).
tcf(c_11988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(X5,X4))
| ~ subq(u(u(u(X0,s(X1)),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9782]) ).
tcf(c_11989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(u(X0,s(X1)),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,s(X1)),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9782]) ).
tcf(c_11990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(u(X0,s(X1)),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,s(X1)),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9782]) ).
tcf(c_12057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ mem(X4,X0)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_4615,c_58]) ).
tcf(c_12059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(u(X1,X2),X3),X4))
| ~ mem(sK1(X0,u(u(u(X1,X2),X3),X4)),X1) ),
inference(superposition,[status(thm)],[c_4615,c_910]) ).
tcf(c_12060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(u(X2,X3),X4)))
| ~ mem(sK1(X0,u(X1,u(u(X2,X3),X4))),X2) ),
inference(superposition,[status(thm)],[c_4615,c_918]) ).
tcf(c_12074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ mem(X4,X1)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_4616,c_58]) ).
tcf(c_12076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(X1,u(X2,X3)),X4))
| ~ mem(sK1(X0,u(u(X1,u(X2,X3)),X4)),X2) ),
inference(superposition,[status(thm)],[c_4616,c_910]) ).
tcf(c_12077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(X2,u(X3,X4))))
| ~ mem(sK1(X0,u(X1,u(X2,u(X3,X4)))),X3) ),
inference(superposition,[status(thm)],[c_4616,c_918]) ).
tcf(c_12125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ mem(X4,X1)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_4669,c_58]) ).
tcf(c_12127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(u(X1,X2),X3),X4))
| ~ mem(sK1(X0,u(u(u(X1,X2),X3),X4)),X2) ),
inference(superposition,[status(thm)],[c_4669,c_910]) ).
tcf(c_12128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(u(X2,X3),X4)))
| ~ mem(sK1(X0,u(X1,u(u(X2,X3),X4))),X3) ),
inference(superposition,[status(thm)],[c_4669,c_918]) ).
tcf(c_12141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ mem(X4,X2)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_4670,c_58]) ).
tcf(c_12143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(X1,u(X2,X3)),X4))
| ~ mem(sK1(X0,u(u(X1,u(X2,X3)),X4)),X3) ),
inference(superposition,[status(thm)],[c_4670,c_910]) ).
tcf(c_12144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(X2,u(X3,X4))))
| ~ mem(sK1(X0,u(X1,u(X2,u(X3,X4)))),X4) ),
inference(superposition,[status(thm)],[c_4670,c_918]) ).
tcf(c_12156,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_11561,c_58]) ).
tcf(c_12157,plain,
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11561,c_62]) ).
tcf(c_12171,plain,
! [X0: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_12156,c_52]) ).
tcf(c_12172,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_12156,c_58]) ).
tcf(c_12173,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_12156,c_62]) ).
tcf(c_12174,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_12156,c_66]) ).
tcf(c_12175,plain,
( ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
inference(superposition,[status(thm)],[c_12156,c_2023]) ).
tcf(c_12176,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(superposition,[status(thm)],[c_12156,c_2486]) ).
tcf(c_12248,plain,
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12157,c_52]) ).
tcf(c_12249,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_12157,c_58]) ).
tcf(c_12269,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6154,c_56]) ).
tcf(c_12270,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X0)
| ( sK1(s(sK1(u(s(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6154,c_58]) ).
tcf(c_12271,plain,
! [X0: $i,X1: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6154,c_62]) ).
tcf(c_12272,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6154,c_910]) ).
tcf(c_12273,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6154,c_918]) ).
tcf(c_12326,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X0)
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6161,c_58]) ).
tcf(c_12327,plain,
! [X0: $i,X1: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6161,c_62]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i] :
( subq(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6169,c_56]) ).
tcf(c_12340,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X0)
| ( sK1(s(sK1(u(X1,s(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,s(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6169,c_58]) ).
tcf(c_12341,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6169,c_62]) ).
tcf(c_12342,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6169,c_910]) ).
tcf(c_12343,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6169,c_918]) ).
tcf(c_12383,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X0)
| ( sK1(s(sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6170,c_58]) ).
tcf(c_12384,plain,
! [X0: $i,X1: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6170,c_62]) ).
tcf(c_12418,plain,
! [X0: $i,X1: $i] :
( subq(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6124,c_56]) ).
tcf(c_12419,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X0)
| ( sK1(s(X2),X1) = X2 )
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6124,c_58]) ).
tcf(c_12420,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(X1),X0) = X1 )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6124,c_62]) ).
tcf(c_12421,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),X0) = sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6124,c_910]) ).
tcf(c_12422,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X0) = sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6124,c_918]) ).
tcf(c_12446,plain,
! [X0: $i] :
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),s(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)),s(X0)) ),
inference(superposition,[status(thm)],[c_5254,c_56]) ).
tcf(c_12447,plain,
! [X0: $i] :
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),s(X0))
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)),s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_5254,c_57]) ).
tcf(c_12448,plain,
! [X0: $i,X1: $i] :
( subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)),X1)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),s(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),p(X1)) ),
inference(superposition,[status(thm)],[c_5254,c_1365]) ).
tcf(c_12449,plain,
! [X0: $i,X1: $i] :
( mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)),X1)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),s(X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),X1) ),
inference(superposition,[status(thm)],[c_5254,c_932]) ).
tcf(c_12450,plain,
( mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(s(sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5254,c_5961]) ).
tcf(c_12492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(X0,u(u(X1,s(X2)),X3)),X4)),X4) = sK1(u(X0,u(u(X1,s(X2)),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9787]) ).
tcf(c_12493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(u(X1,s(X2)),X3))),p(e)) = u(X0,u(u(X1,s(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_1399,c_9787]) ).
tcf(c_12494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(u(X1,s(X2)),X3))),p(X4)) = u(X0,u(u(X1,s(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_1106,c_9787]) ).
tcf(c_12496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,u(X4,X5))
| ~ subq(u(X0,u(u(X1,s(X2)),X3)),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9787]) ).
tcf(c_12497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(X1,u(u(X2,s(X0)),X3)),X4)),
inference(superposition,[status(thm)],[c_1772,c_9787]) ).
tcf(c_12498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,s(X2)),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,s(X2)),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9787]) ).
tcf(c_12499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(X2,u(u(X3,s(X0)),X4)))),
inference(superposition,[status(thm)],[c_2694,c_9787]) ).
tcf(c_12500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,u(X5,X4))
| ~ subq(u(X0,u(u(X1,s(X2)),X3)),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9787]) ).
tcf(c_12501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(u(X1,s(X2)),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,s(X2)),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9787]) ).
tcf(c_12502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,s(X2)),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,s(X2)),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9787]) ).
tcf(c_12620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(u(X0,u(X1,s(X2))),X3),X4)),X4) = sK1(u(u(X0,u(X1,s(X2))),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_9792]) ).
tcf(c_12621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(u(X0,u(X1,s(X2))),X3)),p(e)) = u(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_9792]) ).
tcf(c_12622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(u(X0,u(X1,s(X2))),X3)),p(X4)) = u(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_9792]) ).
tcf(c_12624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,u(X4,X5))
| ~ subq(u(u(X0,u(X1,s(X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_9792]) ).
tcf(c_12625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(u(X1,u(X2,s(X0))),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_9792]) ).
tcf(c_12626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,s(X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,s(X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9792]) ).
tcf(c_12627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(u(X2,u(X3,s(X0))),X4))),
inference(superposition,[status(thm)],[c_2694,c_9792]) ).
tcf(c_12628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,u(X5,X4))
| ~ subq(u(u(X0,u(X1,s(X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_9792]) ).
tcf(c_12629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(X0,u(X1,s(X2))),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,s(X2))),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_9792]) ).
tcf(c_12630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,s(X2))),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,s(X2))),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9792]) ).
tcf(c_12678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(X2,s(X3)))),X4)),X4) = sK1(u(X0,u(X1,u(X2,s(X3)))),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_10533]) ).
tcf(c_12679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(u(X0,u(X1,u(X2,s(X3))))),p(e)) = u(X0,u(X1,u(X2,s(X3)))) ) ),
inference(superposition,[status(thm)],[c_1399,c_10533]) ).
tcf(c_12680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(u(X0,u(X1,u(X2,s(X3))))),p(X4)) = u(X0,u(X1,u(X2,s(X3)))) ) ),
inference(superposition,[status(thm)],[c_1106,c_10533]) ).
tcf(c_12682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X3,u(X4,X5))
| ~ subq(u(X0,u(X1,u(X2,s(X3)))),X4) ),
inference(superposition,[status(thm)],[c_1778,c_10533]) ).
tcf(c_12683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(u(X1,u(X2,u(X3,s(X0)))),X4)),
inference(superposition,[status(thm)],[c_1772,c_10533]) ).
tcf(c_12684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,s(X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,s(X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_10533]) ).
tcf(c_12685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(X0,u(X1,u(X2,u(X3,u(X4,s(X0)))))),
inference(superposition,[status(thm)],[c_2694,c_10533]) ).
tcf(c_12686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X3,u(X5,X4))
| ~ subq(u(X0,u(X1,u(X2,s(X3)))),X4) ),
inference(superposition,[status(thm)],[c_2700,c_10533]) ).
tcf(c_12687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,s(X3)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,s(X3)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_10533]) ).
tcf(c_12688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,s(X3)))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,s(X3)))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_10533]) ).
tcf(c_12736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(u(X0,p(X1)),X2),X3),X4)),X4) = sK1(u(u(u(X0,p(X1)),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_10538]) ).
tcf(c_12737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(X0,p(X1)),X2),X3)),p(e)) = u(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_10538]) ).
tcf(c_12738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(X0,p(X1)),X2),X3)),p(X4)) = u(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_10538]) ).
tcf(c_12740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(u(u(X0,p(X1)),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_10538]) ).
tcf(c_12741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(u(u(X0,p(X1)),X2),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_10538]) ).
tcf(c_12742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X0,p(X1)),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,p(X1)),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_10538]) ).
tcf(c_12743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(u(u(X1,p(X2)),X3),X4))),
inference(superposition,[status(thm)],[c_2694,c_10538]) ).
tcf(c_12744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(u(u(X0,p(X1)),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_10538]) ).
tcf(c_12745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(u(X0,p(X1)),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,p(X1)),X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_10538]) ).
tcf(c_12746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(u(X0,p(X1)),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,p(X1)),X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_10538]) ).
tcf(c_12812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(sK1(u(s(X0),X1),X2)),X2) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2228]) ).
tcf(c_12813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(u(s(X0),X1)),p(e)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_2228]) ).
tcf(c_12814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(u(s(X0),X1)),p(X2)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_2228]) ).
tcf(c_12816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(X2,X3),X4))
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2228]) ).
tcf(c_12818,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2228]) ).
tcf(c_12820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(X3,X2),X4))
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_2228]) ).
tcf(c_12821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3))
| ( sK1(s(sK1(u(s(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2228]) ).
tcf(c_12822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3))
| ( sK1(s(sK1(u(s(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2228]) ).
tcf(c_12851,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_9047,c_58]) ).
tcf(c_12852,plain,
! [X0: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9047,c_62]) ).
tcf(c_12868,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,X2)
| mem(sK1(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_57,c_6133]) ).
tcf(c_12869,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),X1) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1084,c_6133]) ).
tcf(c_12870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X1,X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X1,X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1889,c_6133]) ).
tcf(c_12871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X1,X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X1,X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_6133]) ).
tcf(c_12872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_3889,c_6133]) ).
tcf(c_12873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_6133]) ).
tcf(c_12877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_932,c_6133]) ).
tcf(c_12886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(p(X1),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(p(X1),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1810,c_6133]) ).
tcf(c_12887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1809,c_6133]) ).
tcf(c_12889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,p(X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,p(X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2745,c_6133]) ).
tcf(c_12894,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6015,c_6133]) ).
tcf(c_12895,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_6133]) ).
tcf(c_12896,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_12156,c_6133]) ).
tcf(c_12901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_2744,c_6133]) ).
tcf(c_12904,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2199,c_6133]) ).
tcf(c_12907,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2905,c_6133]) ).
tcf(c_12908,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2497,c_6133]) ).
tcf(c_12909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(u(s(X1),X2),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(s(X1),X2),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2652,c_6133]) ).
tcf(c_12913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(u(s(X2),X3),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(u(s(X2),X3),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2759,c_6133]) ).
tcf(c_12917,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(X0,u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3001,c_6133]) ).
tcf(c_12918,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(X0,u(X1,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3002,c_6133]) ).
tcf(c_12922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,p(X2)),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,p(X2)),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3161,c_6133]) ).
tcf(c_12923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,p(X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,p(X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3162,c_6133]) ).
tcf(c_12924,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6154,c_6133]) ).
tcf(c_12925,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_6130,c_6133]) ).
tcf(c_12926,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6127,c_6133]) ).
tcf(c_12927,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5674,c_6133]) ).
tcf(c_12928,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9047,c_6133]) ).
tcf(c_12929,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6170,c_6133]) ).
tcf(c_12930,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6161,c_6133]) ).
tcf(c_12931,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6129,c_6133]) ).
tcf(c_12933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,u(s(X2),X3)),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,u(s(X2),X3)),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3481,c_6133]) ).
tcf(c_12934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,u(s(X3),X4)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,u(s(X3),X4)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3482,c_6133]) ).
tcf(c_12935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(u(p(X1),X2),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(p(X1),X2),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3557,c_6133]) ).
tcf(c_12936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(u(p(X2),X3),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(u(p(X2),X3),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3558,c_6133]) ).
tcf(c_12937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,u(p(X2),X3)),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,u(p(X2),X3)),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3778,c_6133]) ).
tcf(c_12938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,u(p(X3),X4)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,u(p(X3),X4)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3779,c_6133]) ).
tcf(c_12939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(u(X1,s(X2)),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(X1,s(X2)),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3794,c_6133]) ).
tcf(c_12940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(u(X2,s(X3)),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(u(X2,s(X3)),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3795,c_6133]) ).
tcf(c_12941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,u(X2,s(X3))),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,u(X2,s(X3))),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3829,c_6133]) ).
tcf(c_12942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,u(X3,s(X4))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,u(X3,s(X4))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3830,c_6133]) ).
tcf(c_12943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(u(X1,p(X2)),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(X1,p(X2)),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3855,c_6133]) ).
tcf(c_12944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(u(X2,p(X3)),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(u(X2,p(X3)),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3856,c_6133]) ).
tcf(c_12945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,u(X2,p(X3))),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,u(X2,p(X3))),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4553,c_6133]) ).
tcf(c_12946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,u(X3,p(X4))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,u(X3,p(X4))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4554,c_6133]) ).
tcf(c_12947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(u(X1,X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(u(X1,X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4615,c_6133]) ).
tcf(c_12948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,u(X1,X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,u(X1,X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4616,c_6133]) ).
tcf(c_12949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(u(X3,X1),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(u(X3,X1),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4669,c_6133]) ).
tcf(c_12950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,u(X4,X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,u(X4,X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4670,c_6133]) ).
tcf(c_12951,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5960,c_6133]) ).
tcf(c_12952,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5909,c_6133]) ).
tcf(c_12954,plain,
! [X0: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9209,c_6133]) ).
tcf(c_12955,plain,
! [X0: $i,X1: $i] :
( subq(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5961,c_6133]) ).
tcf(c_12956,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2))
| mem(sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)) )
| ( sK1(s(sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5963,c_6133]) ).
tcf(c_12957,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5964,c_6133]) ).
tcf(c_12958,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6020,c_6133]) ).
tcf(c_12959,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6021,c_6133]) ).
tcf(c_12960,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),X1) = X2 )
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6124,c_6133]) ).
tcf(c_12961,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,s(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,s(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6169,c_6133]) ).
tcf(c_12962,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6128,c_6133]) ).
tcf(c_12963,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11277,c_6133]) ).
tcf(c_12967,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12157,c_6133]) ).
tcf(c_13349,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK1(X0,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_57,c_6134]) ).
tcf(c_13350,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1084,c_6134]) ).
tcf(c_13351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1889,c_6134]) ).
tcf(c_13352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_6134]) ).
tcf(c_13353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,X1),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,X1),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_3889,c_6134]) ).
tcf(c_13354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,X1),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,X1),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_6134]) ).
tcf(c_13358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_932,c_6134]) ).
tcf(c_13367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1810,c_6134]) ).
tcf(c_13368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1809,c_6134]) ).
tcf(c_13370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,p(X1)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,p(X1)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2745,c_6134]) ).
tcf(c_13375,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6015,c_6134]) ).
tcf(c_13376,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_6134]) ).
tcf(c_13377,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_12156,c_6134]) ).
tcf(c_13382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_2744,c_6134]) ).
tcf(c_13385,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2199,c_6134]) ).
tcf(c_13388,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2905,c_6134]) ).
tcf(c_13389,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2497,c_6134]) ).
tcf(c_13390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(u(s(X0),X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(s(X0),X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2652,c_6134]) ).
tcf(c_13394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(u(s(X1),X2),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(u(s(X1),X2),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2759,c_6134]) ).
tcf(c_13398,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3001,c_6134]) ).
tcf(c_13399,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3002,c_6134]) ).
tcf(c_13404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,p(X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,p(X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3162,c_6134]) ).
tcf(c_13405,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6154,c_6134]) ).
tcf(c_13406,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_6130,c_6134]) ).
tcf(c_13407,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6127,c_6134]) ).
tcf(c_13408,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5674,c_6134]) ).
tcf(c_13409,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9047,c_6134]) ).
tcf(c_13410,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6170,c_6134]) ).
tcf(c_13411,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6161,c_6134]) ).
tcf(c_13412,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6129,c_6134]) ).
tcf(c_13414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X0,u(s(X1),X2)),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,u(s(X1),X2)),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3481,c_6134]) ).
tcf(c_13415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,u(s(X2),X3))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,u(s(X2),X3))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3482,c_6134]) ).
tcf(c_13416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(u(p(X0),X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(p(X0),X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3557,c_6134]) ).
tcf(c_13417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(u(p(X1),X2),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(u(p(X1),X2),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3558,c_6134]) ).
tcf(c_13418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X0,u(p(X1),X2)),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,u(p(X1),X2)),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3778,c_6134]) ).
tcf(c_13419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,u(p(X2),X3))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,u(p(X2),X3))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3779,c_6134]) ).
tcf(c_13420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(u(X0,s(X1)),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(X0,s(X1)),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3794,c_6134]) ).
tcf(c_13421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(u(X1,s(X2)),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(u(X1,s(X2)),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3795,c_6134]) ).
tcf(c_13422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X0,u(X1,s(X2))),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,u(X1,s(X2))),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3829,c_6134]) ).
tcf(c_13423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,u(X2,s(X3)))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,u(X2,s(X3)))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3830,c_6134]) ).
tcf(c_13424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(u(X0,p(X1)),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(X0,p(X1)),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3855,c_6134]) ).
tcf(c_13425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(u(X1,p(X2)),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(u(X1,p(X2)),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_3856,c_6134]) ).
tcf(c_13426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X0,u(X1,p(X2))),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,u(X1,p(X2))),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4553,c_6134]) ).
tcf(c_13427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,u(X2,p(X3)))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,u(X2,p(X3)))),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4554,c_6134]) ).
tcf(c_13428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X1,X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X1,X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4615,c_6134]) ).
tcf(c_13429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,u(X1,X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,u(X1,X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4616,c_6134]) ).
tcf(c_13430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X2,X1),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X2,X1),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4669,c_6134]) ).
tcf(c_13431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,u(X3,X1)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,u(X3,X1)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_4670,c_6134]) ).
tcf(c_13432,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5960,c_6134]) ).
tcf(c_13433,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5909,c_6134]) ).
tcf(c_13435,plain,
! [X0: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9209,c_6134]) ).
tcf(c_13436,plain,
! [X0: $i,X1: $i] :
( subq(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5961,c_6134]) ).
tcf(c_13437,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2))
| mem(sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5963,c_6134]) ).
tcf(c_13438,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5964,c_6134]) ).
tcf(c_13439,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6020,c_6134]) ).
tcf(c_13440,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6021,c_6134]) ).
tcf(c_13441,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),X1) = X2 )
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6124,c_6134]) ).
tcf(c_13442,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,s(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,s(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6169,c_6134]) ).
tcf(c_13443,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6128,c_6134]) ).
tcf(c_13444,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11277,c_6134]) ).
tcf(c_13448,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12157,c_6134]) ).
tcf(c_13754,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_6367,c_56]) ).
tcf(c_13755,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6367,c_6134]) ).
tcf(c_13756,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6367,c_6133]) ).
tcf(c_13757,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(sK1(s(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_6367,c_58]) ).
tcf(c_13758,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_6367,c_62]) ).
tcf(c_13760,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(s(sK1(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_6367,c_918]) ).
tcf(c_13792,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6369,c_6134]) ).
tcf(c_13793,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6369,c_6133]) ).
tcf(c_13794,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_6369,c_58]) ).
tcf(c_13795,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_6369,c_62]) ).
tcf(c_13834,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_6644,c_56]) ).
tcf(c_13835,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6644,c_6134]) ).
tcf(c_13836,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X2),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6644,c_6133]) ).
tcf(c_13837,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(sK1(s(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_6644,c_58]) ).
tcf(c_13838,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_6644,c_62]) ).
tcf(c_13840,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(s(sK1(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_6644,c_918]) ).
tcf(c_13890,plain,
! [X0: $i] :
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)),p(X0)) ),
inference(superposition,[status(thm)],[c_5268,c_56]) ).
tcf(c_13891,plain,
! [X0: $i] :
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0))
| mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)),s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_5268,c_57]) ).
tcf(c_13892,plain,
! [X0: $i] :
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)),e) ),
inference(superposition,[status(thm)],[c_5268,c_1513]) ).
tcf(c_13893,plain,
! [X0: $i] :
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)),X0) ),
inference(superposition,[status(thm)],[c_5268,c_902]) ).
tcf(c_13894,plain,
! [X0: $i,X1: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)),X1)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X1)) ),
inference(superposition,[status(thm)],[c_5268,c_1365]) ).
tcf(c_13895,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)),X1)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),p(X0))
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),X1) ),
inference(superposition,[status(thm)],[c_5268,c_932]) ).
tcf(c_13943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(u(X1,p(X2)),X3)),X4)),X4) = sK1(u(X0,u(u(X1,p(X2)),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_10543]) ).
tcf(c_13944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(X1,p(X2)),X3))),p(e)) = u(X0,u(u(X1,p(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_1399,c_10543]) ).
tcf(c_13945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(X1,p(X2)),X3))),p(X4)) = u(X0,u(u(X1,p(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_1106,c_10543]) ).
tcf(c_13947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(X0,u(u(X1,p(X2)),X3)),X4) ),
inference(superposition,[status(thm)],[c_1778,c_10543]) ).
tcf(c_13948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(X0,u(u(X1,p(X2)),X3)),X4)),
inference(superposition,[status(thm)],[c_1772,c_10543]) ).
tcf(c_13950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(X1,u(u(X2,p(X3)),X4)))),
inference(superposition,[status(thm)],[c_2694,c_10543]) ).
tcf(c_13951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(X0,u(u(X1,p(X2)),X3)),X4) ),
inference(superposition,[status(thm)],[c_2700,c_10543]) ).
tcf(c_13952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(u(X1,p(X2)),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,p(X2)),X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_10543]) ).
tcf(c_13953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(u(X1,p(X2)),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,p(X2)),X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_10543]) ).
tcf(c_13991,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(s(sK1(X0,u(X1,X2))),X2)),X2) = sK1(s(sK1(X0,u(X1,X2))),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_10552]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),p(X2)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_1106,c_10552]) ).
tcf(c_14027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,X1),X3)),X3) = sK1(u(X2,X1),X3) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1103,c_10553]) ).
tcf(c_14028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),p(e)) = u(X2,X1) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1399,c_10553]) ).
tcf(c_14029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),p(X3)) = u(X2,X1) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1106,c_10553]) ).
tcf(c_14031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X2,X4))
| ~ subq(s(X3),X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_10553]) ).
tcf(c_14032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(X2,X1),X3))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_1772,c_10553]) ).
tcf(c_14033,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5907,c_10553]) ).
tcf(c_14034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,u(X3,X1)))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_2694,c_10553]) ).
tcf(c_14035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,u(X4,X2))
| ~ subq(s(X3),X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_10553]) ).
tcf(c_14036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X2,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_10553]) ).
tcf(c_14037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X2,X1),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5911,c_10553]) ).
tcf(c_14130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(X0,u(X1,p(X2))),X3),X4)),X4) = sK1(u(u(X0,u(X1,p(X2))),X3),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_11348]) ).
tcf(c_14131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(X1,p(X2))),X3)),p(e)) = u(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1399,c_11348]) ).
tcf(c_14132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(X1,p(X2))),X3)),p(X4)) = u(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_1106,c_11348]) ).
tcf(c_14134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(u(X0,u(X1,p(X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_1778,c_11348]) ).
tcf(c_14135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(u(X0,u(X1,p(X2))),X3),X4)),
inference(superposition,[status(thm)],[c_1772,c_11348]) ).
tcf(c_14137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(u(X1,u(X2,p(X3))),X4))),
inference(superposition,[status(thm)],[c_2694,c_11348]) ).
tcf(c_14138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(u(X0,u(X1,p(X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_2700,c_11348]) ).
tcf(c_14139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(X0,u(X1,p(X2))),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,p(X2))),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_11348]) ).
tcf(c_14140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,u(X1,p(X2))),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,p(X2))),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_11348]) ).
tcf(c_14166,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(sK1(u(p(e),X0),X1)),X1) = sK1(u(p(e),X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_2621]) ).
tcf(c_14167,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(u(p(e),X0)),p(e)) = u(p(e),X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_2621]) ).
tcf(c_14168,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(u(p(e),X0)),p(X1)) = u(p(e),X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_2621]) ).
tcf(c_14170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ~ subq(u(p(e),X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_2621]) ).
tcf(c_14172,plain,
! [X0: $i,X1: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(p(e),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2621]) ).
tcf(c_14174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ~ subq(u(p(e),X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_2621]) ).
tcf(c_14175,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(u(p(e),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2621]) ).
tcf(c_14176,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(u(p(e),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2621]) ).
tcf(c_14227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(sK1(u(p(X0),X1),X2)),X2) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3124]) ).
tcf(c_14228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(p(X0),X1)),p(e)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1399,c_3124]) ).
tcf(c_14229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(p(X0),X1)),p(X2)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_3124]) ).
tcf(c_14231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(X2,X3),X4))
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3124]) ).
tcf(c_14233,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3124]) ).
tcf(c_14235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(X3,X2),X4))
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3124]) ).
tcf(c_14236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3))
| ( sK1(s(sK1(u(p(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3124]) ).
tcf(c_14237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3))
| ( sK1(s(sK1(u(p(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3124]) ).
tcf(c_14258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(sK1(u(X0,s(X1)),X2)),X2) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3140]) ).
tcf(c_14259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(u(X0,s(X1))),p(e)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_1399,c_3140]) ).
tcf(c_14260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(u(X0,s(X1))),p(X2)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3140]) ).
tcf(c_14262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(u(X2,X3),X4))
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3140]) ).
tcf(c_14264,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3140]) ).
tcf(c_14266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(u(X3,X2),X4))
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3140]) ).
tcf(c_14267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3))
| ( sK1(s(sK1(u(X0,s(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3140]) ).
tcf(c_14268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3))
| ( sK1(s(sK1(u(X0,s(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3140]) ).
tcf(c_14316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(sK1(u(X0,p(X1)),X2)),X2) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3160]) ).
tcf(c_14317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(X0,p(X1))),p(e)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1399,c_3160]) ).
tcf(c_14318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(X0,p(X1))),p(X2)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3160]) ).
tcf(c_14320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(X2,X3),X4))
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3160]) ).
tcf(c_14322,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3160]) ).
tcf(c_14324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(X3,X2),X4))
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3160]) ).
tcf(c_14325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3))
| ( sK1(s(sK1(u(X0,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3160]) ).
tcf(c_14326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3))
| ( sK1(s(sK1(u(X0,p(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3160]) ).
tcf(c_14361,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6646,c_6134]) ).
tcf(c_14362,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X2),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6646,c_6133]) ).
tcf(c_14363,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_6646,c_58]) ).
tcf(c_14364,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_6646,c_62]) ).
tcf(c_14392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12818,c_6134]) ).
tcf(c_14393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12818,c_6133]) ).
tcf(c_14394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X1)
| ( sK1(s(sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_12818,c_58]) ).
tcf(c_14396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(u(s(sK1(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12818,c_910]) ).
tcf(c_14397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(u(s(sK1(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_12818,c_918]) ).
tcf(c_14426,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14172,c_6134]) ).
tcf(c_14427,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14172,c_6133]) ).
tcf(c_14428,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| ( sK1(s(sK1(u(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_14172,c_58]) ).
tcf(c_14429,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(e),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14172,c_62]) ).
tcf(c_14489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14233,c_6134]) ).
tcf(c_14490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14233,c_6133]) ).
tcf(c_14491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X1)
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_14233,c_58]) ).
tcf(c_14507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14264,c_6134]) ).
tcf(c_14508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14264,c_6133]) ).
tcf(c_14509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X1)
| ( sK1(s(sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_14264,c_58]) ).
tcf(c_14511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2),X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14264,c_910]) ).
tcf(c_14512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14264,c_918]) ).
tcf(c_14557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14322,c_6134]) ).
tcf(c_14558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14322,c_6133]) ).
tcf(c_14559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X1)
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_14322,c_58]) ).
tcf(c_14577,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),X0)),X0) = sK1(s(X2),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_8842]) ).
tcf(c_14578,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),p(e)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_8842]) ).
tcf(c_14579,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),p(X0)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_8842]) ).
tcf(c_14606,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(e),X0)),X0) = sK1(p(e),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_8912]) ).
tcf(c_14607,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(p(e)),p(e)) = p(e) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_8912]) ).
tcf(c_14608,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(p(e)),p(X0)) = p(e) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_8912]) ).
tcf(c_14609,plain,
! [X0: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(e),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(e),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_8912]) ).
tcf(c_14610,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_1778,c_8912]) ).
tcf(c_14613,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(p(e),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(e),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_8912]) ).
tcf(c_14614,plain,
! [X0: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_8912]) ).
tcf(c_14615,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,p(e)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,p(e)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_8912]) ).
tcf(c_14616,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,X0),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,X0),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_2700,c_8912]) ).
tcf(c_14617,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( X0 = e )
| ( sK1(s(sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_8912]) ).
tcf(c_14618,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(e),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5910,c_8912]) ).
tcf(c_14619,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(e),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_8912]) ).
tcf(c_14721,plain,
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),p(e)) ),
inference(superposition,[status(thm)],[c_5271,c_56]) ).
tcf(c_14722,plain,
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e))
| mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_5271,c_57]) ).
tcf(c_14723,plain,
( subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),e) ),
inference(superposition,[status(thm)],[c_5271,c_1513]) ).
tcf(c_14725,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(X0)) ),
inference(superposition,[status(thm)],[c_5271,c_1365]) ).
tcf(c_14726,plain,
! [X0: $i] :
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),X0) ),
inference(superposition,[status(thm)],[c_5271,c_932]) ).
tcf(c_14850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(X2,p(X3)))),X4)),X4) = sK1(u(X0,u(X1,u(X2,p(X3)))),X4) ) ),
inference(superposition,[status(thm)],[c_1103,c_11353]) ).
tcf(c_14851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(X2,p(X3))))),p(e)) = u(X0,u(X1,u(X2,p(X3)))) ) ),
inference(superposition,[status(thm)],[c_1399,c_11353]) ).
tcf(c_14852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(X2,p(X3))))),p(X4)) = u(X0,u(X1,u(X2,p(X3)))) ) ),
inference(superposition,[status(thm)],[c_1106,c_11353]) ).
tcf(c_14854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X4,X5))
| ~ subq(u(X0,u(X1,u(X2,p(X3)))),X4) ),
inference(superposition,[status(thm)],[c_1778,c_11353]) ).
tcf(c_14855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(u(X0,u(X1,u(X2,p(X3)))),X4)),
inference(superposition,[status(thm)],[c_1772,c_11353]) ).
tcf(c_14857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mem(e,u(X0,u(X1,u(X2,u(X3,p(X4)))))),
inference(superposition,[status(thm)],[c_2694,c_11353]) ).
tcf(c_14858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,u(X5,X4))
| ~ subq(u(X0,u(X1,u(X2,p(X3)))),X4) ),
inference(superposition,[status(thm)],[c_2700,c_11353]) ).
tcf(c_14859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,p(X3)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,p(X3)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) ) ),
inference(superposition,[status(thm)],[c_5910,c_11353]) ).
tcf(c_14860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(X2,p(X3)))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,p(X3)))),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_11353]) ).
tcf(c_14903,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(X0),u(X1,e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_50]) ).
tcf(c_14904,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| ( X0 = X2 )
| ( sK1(s(X0),u(X1,s(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_52]) ).
tcf(c_14905,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| mem(sK1(X0,X1),X2)
| ( sK1(s(sK1(X0,X1)),u(X2,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1105,c_56]) ).
tcf(c_14906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X3,X0)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_6134]) ).
tcf(c_14907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X3,X1)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_6133]) ).
tcf(c_14908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,X1)
| ( sK1(s(X2),u(X3,X0)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1105,c_58]) ).
tcf(c_14909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| mem(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(X1,u(X2,X3))) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_62]) ).
tcf(c_14910,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(X1,p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_66]) ).
tcf(c_14911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(X3,X1)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1105,c_910]) ).
tcf(c_14912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(X3,X2)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1105,c_918]) ).
tcf(c_14913,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_1586]) ).
tcf(c_14914,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_2023]) ).
tcf(c_14915,plain,
! [X0: $i] :
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_8567]) ).
tcf(c_14916,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_10101]) ).
tcf(c_14917,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_2486]) ).
tcf(c_14918,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(X0),u(e,X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_50]) ).
tcf(c_14919,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( X0 = X1 )
| ( sK1(s(X0),u(s(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_52]) ).
tcf(c_14920,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| mem(sK1(X0,X1),X2)
| ( sK1(s(sK1(X0,X1)),u(X1,X2)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1105,c_56]) ).
tcf(c_14921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X0,X3)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_6134]) ).
tcf(c_14922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X1,X3)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_6133]) ).
tcf(c_14923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,X1)
| ( sK1(s(X2),u(X0,X3)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1105,c_58]) ).
tcf(c_14924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| mem(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(u(X1,X2),X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_62]) ).
tcf(c_14925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| mem(X0,X2)
| ( sK1(s(X0),u(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_1105,c_66]) ).
tcf(c_14926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(X1,X3)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1105,c_910]) ).
tcf(c_14927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(X2,X3)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_1105,c_918]) ).
tcf(c_14928,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_1586]) ).
tcf(c_14929,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_2023]) ).
tcf(c_14930,plain,
! [X0: $i] :
( mem(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_8567]) ).
tcf(c_14931,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(e),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_10101]) ).
tcf(c_14932,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1105,c_2486]) ).
tcf(c_14933,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(X0),u(X1,X1)) = X0 ) ),
inference(equality_factoring,[status(thm)],[c_1105]) ).
tcf(c_15128,plain,
! [X0: $i] : sK1(s(X0),u(e,e)) = X0,
inference(superposition,[status(thm)],[c_14903,c_50]) ).
tcf(c_15129,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X0),u(s(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_14903,c_52]) ).
tcf(c_15130,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14903,c_56]) ).
tcf(c_15131,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14903,c_6134]) ).
tcf(c_15132,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X1,e)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14903,c_6133]) ).
tcf(c_15133,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(X0,e)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14903,c_58]) ).
tcf(c_15134,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(u(X1,X2),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_14903,c_62]) ).
tcf(c_15135,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(X0),u(p(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_14903,c_66]) ).
tcf(c_15136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(X0,u(X1,X2))),u(X1,e)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14903,c_910]) ).
tcf(c_15137,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(X0,u(X1,X2))),u(X2,e)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14903,c_918]) ).
tcf(c_15138,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14903,c_1586]) ).
tcf(c_15139,plain,
sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(superposition,[status(thm)],[c_14903,c_2023]) ).
tcf(c_15140,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(superposition,[status(thm)],[c_14903,c_8567]) ).
tcf(c_15141,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(e),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14903,c_10101]) ).
tcf(c_15142,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14903,c_2486]) ).
tcf(c_15195,plain,
! [X0: $i] :
( subq(s(X0),u(e,e))
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15128,c_56]) ).
tcf(c_15197,plain,
! [X0: $i] :
( subq(s(X0),u(e,e))
| ~ subq(s(X0),e) ),
inference(superposition,[status(thm)],[c_15128,c_10552]) ).
tcf(c_15201,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| subq(s(X0),u(e,e))
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_15128,c_1365]) ).
tcf(c_15202,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| subq(s(X0),u(e,e))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15128,c_932]) ).
tcf(c_15231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ( sK1(s(sK1(u(s(X0),X1),X2)),X2) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3903]) ).
tcf(c_15233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ( sK1(s(u(s(X0),X1)),p(X2)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_3903]) ).
tcf(c_15235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X3,u(X2,X4)))
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3903]) ).
tcf(c_15237,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3903]) ).
tcf(c_15239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X3,u(X4,X2)))
| ~ subq(u(s(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3903]) ).
tcf(c_15240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(u(s(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3903]) ).
tcf(c_15241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(s(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3903]) ).
tcf(c_15272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(sK1(u(p(X0),X1),X2)),X2) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3909]) ).
tcf(c_15274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(u(p(X0),X1)),p(X2)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1106,c_3909]) ).
tcf(c_15276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,u(X2,X4)))
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3909]) ).
tcf(c_15278,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3909]) ).
tcf(c_15280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,u(X4,X2)))
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3909]) ).
tcf(c_15281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(u(p(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3909]) ).
tcf(c_15282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3909]) ).
tcf(c_15343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ( sK1(s(sK1(u(X0,s(X1)),X2)),X2) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3916]) ).
tcf(c_15345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ( sK1(s(u(X0,s(X1))),p(X2)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3916]) ).
tcf(c_15347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X3,u(X2,X4)))
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3916]) ).
tcf(c_15349,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3916]) ).
tcf(c_15351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X3,u(X4,X2)))
| ~ subq(u(X0,s(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3916]) ).
tcf(c_15352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(u(X0,s(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3916]) ).
tcf(c_15353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(X0,s(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3916]) ).
tcf(c_15372,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)) ),
inference(superposition,[status(thm)],[c_15138,c_56]) ).
tcf(c_15373,plain,
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)) ),
inference(superposition,[status(thm)],[c_15138,c_57]) ).
tcf(c_15374,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e) ),
inference(superposition,[status(thm)],[c_15138,c_10552]) ).
tcf(c_15375,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_15138,c_4135]) ).
tcf(c_15376,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ),
inference(superposition,[status(thm)],[c_15138,c_918]) ).
tcf(c_15378,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_15138,c_1365]) ).
tcf(c_15379,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_15138,c_932]) ).
tcf(c_15460,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14913,c_50]) ).
tcf(c_15461,plain,
! [X0: $i] :
( ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(X0),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14913,c_52]) ).
tcf(c_15462,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14913,c_6134]) ).
tcf(c_15463,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14913,c_6133]) ).
tcf(c_15464,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14913,c_58]) ).
tcf(c_15465,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(X0,X1),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14913,c_62]) ).
tcf(c_15466,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14913,c_66]) ).
tcf(c_15467,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14913,c_1586]) ).
tcf(c_15468,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(e),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14913,c_10101]) ).
tcf(c_15518,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
inference(superposition,[status(thm)],[c_15467,c_56]) ).
tcf(c_15519,plain,
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
inference(superposition,[status(thm)],[c_15467,c_57]) ).
tcf(c_15520,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_15467,c_10552]) ).
tcf(c_15524,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_15467,c_1365]) ).
tcf(c_15525,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_15467,c_932]) ).
tcf(c_15543,plain,
! [X0: $i] :
( ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14928,c_52]) ).
tcf(c_15544,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14928,c_6134]) ).
tcf(c_15545,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14928,c_6133]) ).
tcf(c_15546,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14928,c_58]) ).
tcf(c_15547,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14928,c_62]) ).
tcf(c_15548,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14928,c_66]) ).
tcf(c_15550,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14928,c_10101]) ).
tcf(c_15590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15237,c_6134]) ).
tcf(c_15591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15237,c_6133]) ).
tcf(c_15592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X1)
| ( sK1(s(sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_15237,c_58]) ).
tcf(c_15594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(u(s(sK1(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15237,c_910]) ).
tcf(c_15595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(s(sK1(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(sK1(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15237,c_918]) ).
tcf(c_15624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15278,c_6134]) ).
tcf(c_15625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15278,c_6133]) ).
tcf(c_15626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X1)
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_15278,c_58]) ).
tcf(c_15775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15349,c_6134]) ).
tcf(c_15776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15349,c_6133]) ).
tcf(c_15777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X1)
| ( sK1(s(sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,s(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_15349,c_58]) ).
tcf(c_15779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15349,c_910]) ).
tcf(c_15780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(X0,s(sK1(X1,u(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,s(sK1(X1,u(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15349,c_918]) ).
tcf(c_15803,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),X1)),X1) = sK1(s(X2),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_14033]) ).
tcf(c_15805,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),p(X1)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_14033]) ).
tcf(c_15825,plain,
! [X0: $i] :
( subq(s(sK1(p(X0),p(e))),p(e))
| ( p(X0) = p(e) )
| ~ mem(sK1(p(X0),p(e)),p(e)) ),
inference(superposition,[status(thm)],[c_5279,c_56]) ).
tcf(c_15826,plain,
! [X0: $i] :
( subq(s(sK1(p(X0),p(e))),p(e))
| mem(sK1(p(X0),p(e)),s(sK1(p(X0),p(e))))
| ( p(X0) = p(e) ) ),
inference(superposition,[status(thm)],[c_5279,c_57]) ).
tcf(c_15827,plain,
! [X0: $i] :
( subq(s(sK1(p(X0),p(e))),p(e))
| ( p(X0) = p(e) )
| ~ subq(sK1(p(X0),p(e)),e) ),
inference(superposition,[status(thm)],[c_5279,c_1513]) ).
tcf(c_15829,plain,
! [X0: $i,X1: $i] :
( subq(sK1(p(X0),p(e)),X1)
| subq(s(sK1(p(X0),p(e))),p(e))
| ( p(X0) = p(e) )
| ~ subq(s(sK1(p(X0),p(e))),p(X1)) ),
inference(superposition,[status(thm)],[c_5279,c_1365]) ).
tcf(c_15830,plain,
! [X0: $i,X1: $i] :
( mem(sK1(p(X0),p(e)),X1)
| subq(s(sK1(p(X0),p(e))),p(e))
| ( p(X0) = p(e) )
| ~ subq(s(sK1(p(X0),p(e))),X1) ),
inference(superposition,[status(thm)],[c_5279,c_932]) ).
tcf(c_15850,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X0),u(e,s(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_14918,c_52]) ).
tcf(c_15851,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14918,c_56]) ).
tcf(c_15852,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(e,X0)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14918,c_6134]) ).
tcf(c_15853,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(e,X1)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14918,c_6133]) ).
tcf(c_15854,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(e,X0)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14918,c_58]) ).
tcf(c_15855,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(e,u(X1,X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14918,c_62]) ).
tcf(c_15856,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(X0),u(e,p(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_14918,c_66]) ).
tcf(c_15857,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(X0,u(X1,X2))),u(e,X1)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14918,c_910]) ).
tcf(c_15858,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(X0,u(X1,X2))),u(e,X2)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14918,c_918]) ).
tcf(c_15860,plain,
sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(superposition,[status(thm)],[c_14918,c_2023]) ).
tcf(c_15861,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(e,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(superposition,[status(thm)],[c_14918,c_8567]) ).
tcf(c_15862,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_14918,c_10101]) ).
tcf(c_15863,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14918,c_2486]) ).
tcf(c_15917,plain,
! [X0: $i] :
( mem(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(e,e)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(e,e)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_6131]) ).
tcf(c_15918,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,e))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_5265]) ).
tcf(c_15919,plain,
! [X0: $i] :
( mem(e,u(e,e))
| ( sK1(p(e),s(X0)) = e )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_4711]) ).
tcf(c_15920,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(e,e))
| ( sK1(s(X1),s(X0)) = X1 )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_1104]) ).
tcf(c_15921,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,e))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_1246]) ).
tcf(c_15922,plain,
! [X0: $i] :
( ( u(e,e) = s(X0) )
| ~ mem(X0,u(e,e))
| ~ subq(u(e,e),s(X0)) ),
inference(superposition,[status(thm)],[c_15195,c_59]) ).
tcf(c_15923,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(e,e)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(e,e)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_14033]) ).
tcf(c_15924,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(e,e),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(e,e),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_8842]) ).
tcf(c_15926,plain,
( mem(e,u(e,e))
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ~ mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_9210]) ).
tcf(c_15927,plain,
! [X0: $i] :
( mem(X0,u(e,e))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_5962]) ).
tcf(c_15928,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(u(e,e),X1))
| ~ mem(sK1(X0,u(u(e,e),X1)),u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_4135]) ).
tcf(c_15929,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,u(e,e)))
| ~ mem(sK1(X0,u(X1,u(e,e))),u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_10552]) ).
tcf(c_16011,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),u(p(X0),e)) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_6131]) ).
tcf(c_16012,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),e)) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_5265]) ).
tcf(c_16013,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),u(p(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_4711]) ).
tcf(c_16014,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(X0),u(p(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_1104]) ).
tcf(c_16015,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),e)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_1246]) ).
tcf(c_16016,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),u(p(X0),e)) = X1 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_59]) ).
tcf(c_16019,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(p(X1),e)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_14033]) ).
tcf(c_16020,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(p(X0),e)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_8842]) ).
tcf(c_16021,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(s(X0)),u(p(X1),e)) = s(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_931]) ).
tcf(c_16022,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(s(p(X0)),u(p(X1),e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_3890]) ).
tcf(c_16023,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(p(X0)),u(p(X1),e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_2299]) ).
tcf(c_16024,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(p(X0)),u(p(X1),e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_2278]) ).
tcf(c_16025,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),u(p(X2),e)) = p(X1) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15135,c_1514]) ).
tcf(c_16026,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),u(p(X2),e)) = p(X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_935]) ).
tcf(c_16027,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(X1))),u(p(X1),e)) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_902]) ).
tcf(c_16028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),u(p(X3),e)) = u(X2,X1) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15135,c_10553]) ).
tcf(c_16029,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,X1)),u(p(X2),e)) = u(X0,X1) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_15135,c_4192]) ).
tcf(c_16030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),u(p(X3),e)) = u(X1,X2) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15135,c_4136]) ).
tcf(c_16031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),u(p(X3),e)) = u(X2,X1) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_934]) ).
tcf(c_16032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),u(p(X3),e)) = u(X1,X2) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_933]) ).
tcf(c_16033,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3894]) ).
tcf(c_16034,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3000]) ).
tcf(c_16035,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15135,c_3896]) ).
tcf(c_16036,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2495]) ).
tcf(c_16037,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15135,c_1893]) ).
tcf(c_16038,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_962]) ).
tcf(c_16039,plain,
sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(e),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(superposition,[status(thm)],[c_15135,c_960]) ).
tcf(c_16040,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(s(X0)),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_961]) ).
tcf(c_16041,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(X0)),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_963]) ).
tcf(c_16042,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_9233]) ).
tcf(c_16043,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_9229]) ).
tcf(c_16044,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_6022]) ).
tcf(c_16045,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_6019]) ).
tcf(c_16046,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_9172]) ).
tcf(c_16047,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_5908]) ).
tcf(c_16048,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3897]) ).
tcf(c_16049,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3024]) ).
tcf(c_16050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X2),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15135,c_4223]) ).
tcf(c_16051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15135,c_4220]) ).
tcf(c_16052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15135,c_3899]) ).
tcf(c_16053,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15135,c_3900]) ).
tcf(c_16054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15135,c_1999]) ).
tcf(c_16055,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15135,c_1894]) ).
tcf(c_16056,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_998]) ).
tcf(c_16058,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_997]) ).
tcf(c_16059,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_9040]) ).
tcf(c_16060,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_5681]) ).
tcf(c_16061,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_1543]) ).
tcf(c_16062,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2493]) ).
tcf(c_16063,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2488]) ).
tcf(c_16064,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_1071]) ).
tcf(c_16065,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_1022]) ).
tcf(c_16066,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(u(X0,X1)),e)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_1023]) ).
tcf(c_16067,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(X0),u(p(e),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_1360]) ).
tcf(c_16068,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(s(X0),u(p(e),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_1043]) ).
tcf(c_16069,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(X0),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_15135,c_1046]) ).
tcf(c_16070,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(p(e)),u(p(X0),e)) = p(e) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_8912]) ).
tcf(c_16071,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(X0),u(p(s(X1)),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_1361]) ).
tcf(c_16072,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(X0),u(p(p(e)),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_5123]) ).
tcf(c_16073,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(X0),e)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_15135,c_9210]) ).
tcf(c_16074,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(X1),e)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_5962]) ).
tcf(c_16075,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(s(X0))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_8225]) ).
tcf(c_16076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ( sK1(s(u(s(X0),X1)),u(p(X2),e)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_3903]) ).
tcf(c_16077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(u(s(X0),X1)),u(p(X2),e)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_2228]) ).
tcf(c_16078,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(u(s(X0),X1)),u(p(X2),e)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_1878]) ).
tcf(c_16079,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(sK1(p(e),X0))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_1458]) ).
tcf(c_16080,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(p(X0)),u(p(p(e)),e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_1495]) ).
tcf(c_16081,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(X1))),u(p(e),e)) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_1513]) ).
tcf(c_16082,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(p(X1),e)) = u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_1811]) ).
tcf(c_16083,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(p(X1),e)) = u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2747]) ).
tcf(c_16084,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(u(X0,X1)),u(p(X0),e)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_1807]) ).
tcf(c_16085,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(p(X1),e)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_3908]) ).
tcf(c_16086,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(p(X1),e)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_1954]) ).
tcf(c_16087,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(p(X1),e)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_1812]) ).
tcf(c_16088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(u(p(X0),X1)),u(p(X2),e)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_3909]) ).
tcf(c_16089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(p(X0),X1)),u(p(X2),e)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_3124]) ).
tcf(c_16090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),u(p(X3),e)) = u(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_4111]) ).
tcf(c_16091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),u(p(X3),e)) = u(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15135,c_1937]) ).
tcf(c_16092,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(p(X0),X1)),u(p(X2),e)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_2868]) ).
tcf(c_16093,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(p(X2),e)) = u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_2000]) ).
tcf(c_16094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(u(s(X0),X1),X2)),u(p(X3),e)) = u(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15135,c_2287]) ).
tcf(c_16096,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),e)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3913]) ).
tcf(c_16097,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),e)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2931]) ).
tcf(c_16098,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),e)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2750]) ).
tcf(c_16099,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(u(X0,X1)),u(p(X1),e)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_2741]) ).
tcf(c_16100,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(p(X2),e)) = u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15135,c_2749]) ).
tcf(c_16101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ( sK1(s(u(X0,s(X1))),u(p(X2),e)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_3916]) ).
tcf(c_16102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(u(X0,s(X1))),u(p(X2),e)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_3140]) ).
tcf(c_16103,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(u(X0,s(X1))),u(p(X2),e)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_2872]) ).
tcf(c_16104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(X0,p(X1))),u(p(X2),e)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_3160]) ).
tcf(c_16105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,p(X1))),u(p(X3),e)) = u(X2,p(X1)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_5862]) ).
tcf(c_16106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,p(X2))),u(p(X3),e)) = u(X1,p(X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15135,c_4798]) ).
tcf(c_16107,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,p(X1))),u(p(X2),e)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_2877]) ).
tcf(c_16108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(X0,u(s(X1),X2))),u(p(X3),e)) = u(X0,u(s(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_15135,c_3187]) ).
tcf(c_16109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(p(X0),X1),X2)),u(p(X3),e)) = u(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15135,c_3197]) ).
tcf(c_16110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(p(X1),X2))),u(p(X3),e)) = u(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_15135,c_3222]) ).
tcf(c_16111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(u(X0,s(X1)),X2)),u(p(X3),e)) = u(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15135,c_3587]) ).
tcf(c_16112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(u(X0,u(X1,s(X2)))),u(p(X3),e)) = u(X0,u(X1,s(X2))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3604]) ).
tcf(c_16113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(X0,p(X1)),X2)),u(p(X3),e)) = u(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15135,c_3609]) ).
tcf(c_16114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(X1,p(X2)))),u(p(X3),e)) = u(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_15135,c_3614]) ).
tcf(c_16115,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(p(X1),e)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_15135,c_4135]) ).
tcf(c_16116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(u(s(X0),X1),X2),X3)),u(p(X4),e)) = u(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_4788]) ).
tcf(c_16117,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(X0)),e)) = s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_5105]) ).
tcf(c_16118,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(p(p(X0)),e)) = s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_5106]) ).
tcf(c_16119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(X0,u(u(s(X1),X2),X3))),u(p(X4),e)) = u(X0,u(u(s(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_15135,c_5893]) ).
tcf(c_16120,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(p(p(X0)),e)) = s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_5930]) ).
tcf(c_16121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(X0,u(s(X1),X2)),X3)),u(p(X4),e)) = u(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_8480]) ).
tcf(c_16122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(X1,u(s(X2),X3)))),u(p(X4),e)) = u(X0,u(X1,u(s(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_15135,c_8494]) ).
tcf(c_16123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(p(X0),X1),X2),X3)),u(p(X4),e)) = u(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_9156]) ).
tcf(c_16124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(p(X1),X2),X3))),u(p(X4),e)) = u(X0,u(u(p(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_15135,c_9160]) ).
tcf(c_16125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(p(X1),X2)),X3)),u(p(X4),e)) = u(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_9164]) ).
tcf(c_16126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(p(X2),X3)))),u(p(X4),e)) = u(X0,u(X1,u(p(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_15135,c_9778]) ).
tcf(c_16127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(u(X0,s(X1)),X2),X3)),u(p(X4),e)) = u(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_9782]) ).
tcf(c_16128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(u(X1,s(X2)),X3))),u(p(X4),e)) = u(X0,u(u(X1,s(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_15135,c_9787]) ).
tcf(c_16129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(u(X0,u(X1,s(X2))),X3)),u(p(X4),e)) = u(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_9792]) ).
tcf(c_16130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(u(X0,u(X1,u(X2,s(X3))))),u(p(X4),e)) = u(X0,u(X1,u(X2,s(X3)))) ) ),
inference(superposition,[status(thm)],[c_15135,c_10533]) ).
tcf(c_16131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(X0,p(X1)),X2),X3)),u(p(X4),e)) = u(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_10538]) ).
tcf(c_16132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(X1,p(X2)),X3))),u(p(X4),e)) = u(X0,u(u(X1,p(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_15135,c_10543]) ).
tcf(c_16133,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(p(X2),e)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_15135,c_10552]) ).
tcf(c_16134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(X1,p(X2))),X3)),u(p(X4),e)) = u(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15135,c_11348]) ).
tcf(c_16135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(X2,p(X3))))),u(p(X4),e)) = u(X0,u(X1,u(X2,p(X3)))) ) ),
inference(superposition,[status(thm)],[c_15135,c_11353]) ).
tcf(c_16834,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),u(e,p(X0))) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_6131]) ).
tcf(c_16835,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(e,p(X1))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_5265]) ).
tcf(c_16836,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),u(e,p(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_4711]) ).
tcf(c_16837,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(X0),u(e,p(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_1104]) ).
tcf(c_16838,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(e,p(X1))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_1246]) ).
tcf(c_16839,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),u(e,p(X0))) = X1 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_59]) ).
tcf(c_16842,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(e,p(X1))) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_14033]) ).
tcf(c_16843,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(e,p(X0))) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_8842]) ).
tcf(c_16844,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(s(X0)),u(e,p(X1))) = s(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_931]) ).
tcf(c_16845,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(s(p(X0)),u(e,p(X1))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_3890]) ).
tcf(c_16846,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(p(X0)),u(e,p(X1))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_2299]) ).
tcf(c_16847,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(p(X0)),u(e,p(X1))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_2278]) ).
tcf(c_16848,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),u(e,p(X2))) = p(X1) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15856,c_1514]) ).
tcf(c_16849,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(p(X1)),u(e,p(X2))) = p(X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_935]) ).
tcf(c_16850,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(X1))),u(e,p(X1))) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_902]) ).
tcf(c_16851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),u(e,p(X3))) = u(X2,X1) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15856,c_10553]) ).
tcf(c_16852,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,X1)),u(e,p(X2))) = u(X0,X1) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_15856,c_4192]) ).
tcf(c_16853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),u(e,p(X3))) = u(X1,X2) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15856,c_4136]) ).
tcf(c_16854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,X1)),u(e,p(X3))) = u(X2,X1) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_934]) ).
tcf(c_16855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,X2)),u(e,p(X3))) = u(X1,X2) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_933]) ).
tcf(c_16856,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3894]) ).
tcf(c_16857,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3000]) ).
tcf(c_16858,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X1))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15856,c_3896]) ).
tcf(c_16859,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2495]) ).
tcf(c_16860,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15856,c_1893]) ).
tcf(c_16861,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_962]) ).
tcf(c_16862,plain,
sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(e))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(superposition,[status(thm)],[c_15856,c_960]) ).
tcf(c_16863,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(s(X0)))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_961]) ).
tcf(c_16864,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(p(X0)))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_963]) ).
tcf(c_16865,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_9233]) ).
tcf(c_16866,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_9229]) ).
tcf(c_16867,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_6022]) ).
tcf(c_16868,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_6019]) ).
tcf(c_16869,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_9172]) ).
tcf(c_16870,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_5908]) ).
tcf(c_16871,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3897]) ).
tcf(c_16872,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3024]) ).
tcf(c_16873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X2))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15856,c_4223]) ).
tcf(c_16874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15856,c_4220]) ).
tcf(c_16875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15856,c_3899]) ).
tcf(c_16876,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15856,c_3900]) ).
tcf(c_16877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15856,c_1999]) ).
tcf(c_16878,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15856,c_1894]) ).
tcf(c_16879,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_998]) ).
tcf(c_16881,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_997]) ).
tcf(c_16882,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_9040]) ).
tcf(c_16883,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_5681]) ).
tcf(c_16884,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_1543]) ).
tcf(c_16885,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2493]) ).
tcf(c_16886,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2488]) ).
tcf(c_16887,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_1071]) ).
tcf(c_16888,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_1022]) ).
tcf(c_16889,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(u(X0,X1)))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_1023]) ).
tcf(c_16890,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(X0),u(e,p(e))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_1360]) ).
tcf(c_16891,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(s(X0),u(e,p(e))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_1043]) ).
tcf(c_16892,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(X0),u(e,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_15856,c_1046]) ).
tcf(c_16893,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(p(e)),u(e,p(X0))) = p(e) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_8912]) ).
tcf(c_16894,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(X0),u(e,p(s(X1)))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_1361]) ).
tcf(c_16895,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(X0),u(e,p(p(e)))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_5123]) ).
tcf(c_16896,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,p(X0))) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_15856,c_9210]) ).
tcf(c_16897,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,p(X1))) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_5962]) ).
tcf(c_16898,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(s(X0))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_8225]) ).
tcf(c_16899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ( sK1(s(u(s(X0),X1)),u(e,p(X2))) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_3903]) ).
tcf(c_16900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(u(s(X0),X1)),u(e,p(X2))) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_2228]) ).
tcf(c_16901,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(u(s(X0),X1)),u(e,p(X2))) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_1878]) ).
tcf(c_16902,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(sK1(p(e),X0))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_1458]) ).
tcf(c_16903,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(p(X0)),u(e,p(p(e)))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_1495]) ).
tcf(c_16904,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(X1))),u(e,p(e))) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_1513]) ).
tcf(c_16905,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(e,p(X1))) = u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_1811]) ).
tcf(c_16906,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(e,p(X1))) = u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2747]) ).
tcf(c_16907,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(u(X0,X1)),u(e,p(X0))) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_1807]) ).
tcf(c_16908,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,p(X1))) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_3908]) ).
tcf(c_16909,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,p(X1))) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_1954]) ).
tcf(c_16910,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,p(X1))) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_1812]) ).
tcf(c_16911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(u(p(X0),X1)),u(e,p(X2))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_3909]) ).
tcf(c_16912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(p(X0),X1)),u(e,p(X2))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_3124]) ).
tcf(c_16913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),u(e,p(X3))) = u(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_4111]) ).
tcf(c_16914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(p(X1),X2)),u(e,p(X3))) = u(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15856,c_1937]) ).
tcf(c_16915,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(p(X0),X1)),u(e,p(X2))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_2868]) ).
tcf(c_16916,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(e,p(X2))) = u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_2000]) ).
tcf(c_16917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(u(s(X0),X1),X2)),u(e,p(X3))) = u(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15856,c_2287]) ).
tcf(c_16919,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X1))) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3913]) ).
tcf(c_16920,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X1))) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2931]) ).
tcf(c_16921,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(X1))) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2750]) ).
tcf(c_16922,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(u(X0,X1)),u(e,p(X1))) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_2741]) ).
tcf(c_16923,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(e,p(X2))) = u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15856,c_2749]) ).
tcf(c_16924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ( sK1(s(u(X0,s(X1))),u(e,p(X2))) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_3916]) ).
tcf(c_16925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(u(X0,s(X1))),u(e,p(X2))) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_3140]) ).
tcf(c_16926,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(u(X0,s(X1))),u(e,p(X2))) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_2872]) ).
tcf(c_16927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(u(X0,p(X1))),u(e,p(X2))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_3160]) ).
tcf(c_16928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X2,p(X1))),u(e,p(X3))) = u(X2,p(X1)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_5862]) ).
tcf(c_16929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(u(X1,p(X2))),u(e,p(X3))) = u(X1,p(X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15856,c_4798]) ).
tcf(c_16930,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(u(X0,p(X1))),u(e,p(X2))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_2877]) ).
tcf(c_16931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(X0,u(s(X1),X2))),u(e,p(X3))) = u(X0,u(s(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_15856,c_3187]) ).
tcf(c_16932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(p(X0),X1),X2)),u(e,p(X3))) = u(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15856,c_3197]) ).
tcf(c_16933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(p(X1),X2))),u(e,p(X3))) = u(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_15856,c_3222]) ).
tcf(c_16934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(u(u(X0,s(X1)),X2)),u(e,p(X3))) = u(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15856,c_3587]) ).
tcf(c_16935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(u(X0,u(X1,s(X2)))),u(e,p(X3))) = u(X0,u(X1,s(X2))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3604]) ).
tcf(c_16936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(u(X0,p(X1)),X2)),u(e,p(X3))) = u(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15856,c_3609]) ).
tcf(c_16937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(u(X0,u(X1,p(X2)))),u(e,p(X3))) = u(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_15856,c_3614]) ).
tcf(c_16938,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(e,p(X1))) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_15856,c_4135]) ).
tcf(c_16939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(u(s(X0),X1),X2),X3)),u(e,p(X4))) = u(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_4788]) ).
tcf(c_16940,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,p(p(X0)))) = s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_5105]) ).
tcf(c_16941,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(e,p(p(X0)))) = s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_5106]) ).
tcf(c_16942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(X0,u(u(s(X1),X2),X3))),u(e,p(X4))) = u(X0,u(u(s(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_15856,c_5893]) ).
tcf(c_16943,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(e,p(p(X0)))) = s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_5930]) ).
tcf(c_16944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(X0,u(s(X1),X2)),X3)),u(e,p(X4))) = u(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_8480]) ).
tcf(c_16945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(X1,u(s(X2),X3)))),u(e,p(X4))) = u(X0,u(X1,u(s(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_15856,c_8494]) ).
tcf(c_16946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(p(X0),X1),X2),X3)),u(e,p(X4))) = u(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_9156]) ).
tcf(c_16947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(p(X1),X2),X3))),u(e,p(X4))) = u(X0,u(u(p(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_15856,c_9160]) ).
tcf(c_16948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(p(X1),X2)),X3)),u(e,p(X4))) = u(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_9164]) ).
tcf(c_16949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(p(X2),X3)))),u(e,p(X4))) = u(X0,u(X1,u(p(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_15856,c_9778]) ).
tcf(c_16950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(u(u(u(X0,s(X1)),X2),X3)),u(e,p(X4))) = u(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_9782]) ).
tcf(c_16951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(X0,u(u(X1,s(X2)),X3))),u(e,p(X4))) = u(X0,u(u(X1,s(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_15856,c_9787]) ).
tcf(c_16952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(u(u(X0,u(X1,s(X2))),X3)),u(e,p(X4))) = u(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_9792]) ).
tcf(c_16953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(u(X0,u(X1,u(X2,s(X3))))),u(e,p(X4))) = u(X0,u(X1,u(X2,s(X3)))) ) ),
inference(superposition,[status(thm)],[c_15856,c_10533]) ).
tcf(c_16954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(u(X0,p(X1)),X2),X3)),u(e,p(X4))) = u(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_10538]) ).
tcf(c_16955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(u(X1,p(X2)),X3))),u(e,p(X4))) = u(X0,u(u(X1,p(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_15856,c_10543]) ).
tcf(c_16956,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(e,p(X2))) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_15856,c_10552]) ).
tcf(c_16957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(u(X0,u(X1,p(X2))),X3)),u(e,p(X4))) = u(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15856,c_11348]) ).
tcf(c_16958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(u(X0,u(X1,u(X2,p(X3))))),u(e,p(X4))) = u(X0,u(X1,u(X2,p(X3)))) ) ),
inference(superposition,[status(thm)],[c_15856,c_11353]) ).
tcf(c_17629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(u(X0,p(X1))),u(e,p(X2))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15856,c_3917]) ).
tcf(c_17630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(u(X0,p(X1))),u(p(X2),e)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_15135,c_3917]) ).
tcf(c_17631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(sK1(u(X0,p(X1)),X2)),X2) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_3917]) ).
tcf(c_17633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(u(X0,p(X1))),p(X2)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_1106,c_3917]) ).
tcf(c_17635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,u(X2,X4)))
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3917]) ).
tcf(c_17637,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_3917]) ).
tcf(c_17639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,u(X4,X2)))
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3917]) ).
tcf(c_17640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))
| ( sK1(s(sK1(u(X0,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_3917]) ).
tcf(c_17641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_3917]) ).
tcf(c_17704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(p(X0)),u(e,p(X1))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_4747]) ).
tcf(c_17705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(p(X0)),u(p(X1),e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_4747]) ).
tcf(c_17706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(sK1(p(X0),X1)),X1) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_4747]) ).
tcf(c_17707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(p(X0)),p(e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1399,c_4747]) ).
tcf(c_17708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(p(X0)),p(X1)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_4747]) ).
tcf(c_17710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(u(X1,X2),X3),X4))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_4747]) ).
tcf(c_17711,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X0,X1),X2))
| ( sK1(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_4747]) ).
tcf(c_17714,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_4747]) ).
tcf(c_17716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(u(X2,X1),X3),X4))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_4747]) ).
tcf(c_17717,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(s(X0),X1),X2))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_4747]) ).
tcf(c_17718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2),X3))
| ( sK1(s(sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_4747]) ).
tcf(c_17719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X3))
| ( sK1(s(sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_4747]) ).
tcf(c_17784,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4748,c_6134]) ).
tcf(c_17785,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4748,c_6133]) ).
tcf(c_17786,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(p(e),X0) = e )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_4748,c_58]) ).
tcf(c_17801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ( sK1(s(p(X0)),u(e,p(X1))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15856,c_4752]) ).
tcf(c_17802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ( sK1(s(p(X0)),u(p(X1),e)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_15135,c_4752]) ).
tcf(c_17803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ( sK1(s(sK1(p(X0),X1)),X1) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_4752]) ).
tcf(c_17805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ( sK1(s(p(X0)),p(X1)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_1106,c_4752]) ).
tcf(c_17807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(X2,u(X1,X3)),X4))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1778,c_4752]) ).
tcf(c_17808,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X1,X0),X2))
| ( sK1(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_1069,c_4752]) ).
tcf(c_17811,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_4752]) ).
tcf(c_17813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(u(X2,u(X3,X1)),X4))
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_2700,c_4752]) ).
tcf(c_17814,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(u(X1,s(X0)),X2))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_4752]) ).
tcf(c_17815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X3))
| ( sK1(s(sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_4752]) ).
tcf(c_17816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3))
| ( sK1(s(sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_4752]) ).
tcf(c_17848,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(X0)),e)) ),
inference(superposition,[status(thm)],[c_16058,c_56]) ).
tcf(c_17849,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_16058,c_57]) ).
tcf(c_17850,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e) ),
inference(superposition,[status(thm)],[c_16058,c_10552]) ).
tcf(c_17851,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_16058,c_4135]) ).
tcf(c_17852,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ),
inference(superposition,[status(thm)],[c_16058,c_918]) ).
tcf(c_17853,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_16058,c_910]) ).
tcf(c_17854,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X1)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_16058,c_1365]) ).
tcf(c_17855,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X1)),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_16058,c_932]) ).
tcf(c_18024,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,p(s(X0)))) ),
inference(superposition,[status(thm)],[c_16881,c_56]) ).
tcf(c_18025,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0))))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_16881,c_57]) ).
tcf(c_18026,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_16881,c_10552]) ).
tcf(c_18027,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e) ),
inference(superposition,[status(thm)],[c_16881,c_4135]) ).
tcf(c_18028,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_16881,c_918]) ).
tcf(c_18029,plain,
! [X0: $i] :
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ),
inference(superposition,[status(thm)],[c_16881,c_910]) ).
tcf(c_18030,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X1))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_16881,c_1365]) ).
tcf(c_18031,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X1))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_16881,c_932]) ).
tcf(c_18064,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(e,p(X1))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_16056]) ).
tcf(c_18065,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),e)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_16056]) ).
tcf(c_18066,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_16056]) ).
tcf(c_18067,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(e)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_16056]) ).
tcf(c_18068,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(X1)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_16056]) ).
tcf(c_18071,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_16056]) ).
tcf(c_18072,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK1(p(X0),X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_892,c_16056]) ).
tcf(c_18073,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_16056]) ).
tcf(c_18074,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_16056]) ).
tcf(c_18075,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_16056]) ).
tcf(c_18076,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_16056]) ).
tcf(c_18077,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(p(e),X0) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1069,c_16056]) ).
tcf(c_18078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK1(X0,X2)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_16056]) ).
tcf(c_18079,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK1(p(e),X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1402,c_16056]) ).
tcf(c_18080,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1455,c_16056]) ).
tcf(c_18081,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_16056]) ).
tcf(c_18083,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_16056]) ).
tcf(c_18084,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_16056]) ).
tcf(c_18085,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(X0))
| ( X0 = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_16056]) ).
tcf(c_18086,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_16056]) ).
tcf(c_18087,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_16056]) ).
tcf(c_18088,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_16056]) ).
tcf(c_18089,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,e))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_16056]) ).
tcf(c_18192,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(e,p(X1))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_16879]) ).
tcf(c_18193,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),e)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_16879]) ).
tcf(c_18194,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_16879]) ).
tcf(c_18195,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(e)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1399,c_16879]) ).
tcf(c_18196,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),p(X1)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_16879]) ).
tcf(c_18199,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_16879]) ).
tcf(c_18200,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK1(p(X0),X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_892,c_16879]) ).
tcf(c_18201,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_16879]) ).
tcf(c_18202,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_16879]) ).
tcf(c_18203,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_16879]) ).
tcf(c_18204,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_16879]) ).
tcf(c_18205,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(p(e),X0) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1069,c_16879]) ).
tcf(c_18206,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK1(X0,X2)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_16879]) ).
tcf(c_18207,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK1(p(e),X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1402,c_16879]) ).
tcf(c_18208,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1455,c_16879]) ).
tcf(c_18209,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_16879]) ).
tcf(c_18211,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_16879]) ).
tcf(c_18212,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_16879]) ).
tcf(c_18213,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(X0))
| ( X0 = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_16879]) ).
tcf(c_18214,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_16879]) ).
tcf(c_18215,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_16879]) ).
tcf(c_18216,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_16879]) ).
tcf(c_18217,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(e,e))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_16879]) ).
tcf(c_18336,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16046,c_52]) ).
tcf(c_18339,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16046,c_58]) ).
tcf(c_18340,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16046,c_62]) ).
tcf(c_18414,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_52]) ).
tcf(c_18415,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,X1)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_16047,c_56]) ).
tcf(c_18416,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_6134]) ).
tcf(c_18417,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_6133]) ).
tcf(c_18418,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16047,c_58]) ).
tcf(c_18419,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| mem(X2,X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_62]) ).
tcf(c_18420,plain,
! [X0: $i,X1: $i] :
( subq(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_66]) ).
tcf(c_18421,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_16047,c_910]) ).
tcf(c_18422,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X2),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_16047,c_918]) ).
tcf(c_18423,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_1586]) ).
tcf(c_18424,plain,
( ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_2023]) ).
tcf(c_18426,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_10101]) ).
tcf(c_18427,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_2486]) ).
tcf(c_18476,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16869,c_52]) ).
tcf(c_18479,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16869,c_58]) ).
tcf(c_18480,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16869,c_62]) ).
tcf(c_18501,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_52]) ).
tcf(c_18502,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,X1)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_16870,c_56]) ).
tcf(c_18503,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_6134]) ).
tcf(c_18504,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_6133]) ).
tcf(c_18505,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16870,c_58]) ).
tcf(c_18506,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| mem(X2,X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_62]) ).
tcf(c_18507,plain,
! [X0: $i,X1: $i] :
( subq(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_66]) ).
tcf(c_18508,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_16870,c_910]) ).
tcf(c_18509,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X2))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(X1,X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_16870,c_918]) ).
tcf(c_18510,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_1586]) ).
tcf(c_18511,plain,
( ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_2023]) ).
tcf(c_18513,plain,
( ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_10101]) ).
tcf(c_18514,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_2486]) ).
tcf(c_18560,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,X1),X0)),X0)
| ( u(X0,X1) = X0 )
| ~ mem(sK1(u(X0,X1),X0),X0) ),
inference(superposition,[status(thm)],[c_5283,c_56]) ).
tcf(c_18561,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,X1),X0)),X0)
| mem(sK1(u(X0,X1),X0),s(sK1(u(X0,X1),X0)))
| ( u(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_5283,c_57]) ).
tcf(c_18562,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(p(X0),X1),p(X0))),p(X0))
| ( u(p(X0),X1) = p(X0) )
| ~ subq(sK1(u(p(X0),X1),p(X0)),e) ),
inference(superposition,[status(thm)],[c_5283,c_1513]) ).
tcf(c_18563,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(p(X0),X1),p(X0))),p(X0))
| ( u(p(X0),X1) = p(X0) )
| ~ subq(sK1(u(p(X0),X1),p(X0)),X0) ),
inference(superposition,[status(thm)],[c_5283,c_902]) ).
tcf(c_18564,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(u(X0,X1),X2),u(X0,X1))),u(X0,X1))
| ( u(u(X0,X1),X2) = u(X0,X1) )
| ~ subq(s(sK1(u(u(X0,X1),X2),u(X0,X1))),X1) ),
inference(superposition,[status(thm)],[c_5283,c_10552]) ).
tcf(c_18565,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(u(X0,X1),X2),u(X0,X1))),u(X0,X1))
| ( u(u(X0,X1),X2) = u(X0,X1) )
| ~ subq(s(sK1(u(u(X0,X1),X2),u(X0,X1))),X0) ),
inference(superposition,[status(thm)],[c_5283,c_4135]) ).
tcf(c_18566,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(u(X0,X1),X2),u(X0,X1))),u(X0,X1))
| ( u(u(X0,X1),X2) = u(X0,X1) )
| ~ mem(sK1(u(u(X0,X1),X2),u(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_5283,c_918]) ).
tcf(c_18567,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(u(X0,X1),X2),u(X0,X1))),u(X0,X1))
| ( u(u(X0,X1),X2) = u(X0,X1) )
| ~ mem(sK1(u(u(X0,X1),X2),u(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_5283,c_910]) ).
tcf(c_18568,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK1(u(X0,X1),X0),X2)
| subq(s(sK1(u(X0,X1),X0)),X0)
| ( u(X0,X1) = X0 )
| ~ subq(s(sK1(u(X0,X1),X0)),p(X2)) ),
inference(superposition,[status(thm)],[c_5283,c_1365]) ).
tcf(c_18569,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK1(u(X0,X1),X0),X2)
| subq(s(sK1(u(X0,X1),X0)),X0)
| ( u(X0,X1) = X0 )
| ~ subq(s(sK1(u(X0,X1),X0)),X2) ),
inference(superposition,[status(thm)],[c_5283,c_932]) ).
tcf(c_18570,plain,
! [X0: $i] :
( mem(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(sK1(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5283,c_5961]) ).
tcf(c_18571,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),X1),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),X1),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0))),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0))
| ( u(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),X1) = u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) )
| ( sK1(s(sK1(s(sK1(u(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),X1),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0))),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0),X1),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0))),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5283,c_5963]) ).
tcf(c_18572,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) = u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(s(sK1(u(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5283,c_5964]) ).
tcf(c_18675,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),u(s(X1),e))
| ( X0 = X1 )
| ~ mem(X0,u(s(X1),e)) ),
inference(superposition,[status(thm)],[c_15129,c_56]) ).
tcf(c_18677,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),u(s(X1),e))
| ( X0 = X1 )
| ~ subq(s(X0),e) ),
inference(superposition,[status(thm)],[c_15129,c_10552]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),u(s(X1),e))
| ( X0 = X1 )
| ~ subq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_15129,c_4135]) ).
tcf(c_18681,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(s(X0),u(s(X2),e))
| ( X0 = X2 )
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_15129,c_1365]) ).
tcf(c_18682,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(s(X0),u(s(X2),e))
| ( X0 = X2 )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15129,c_932]) ).
tcf(c_18683,plain,
! [X0: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(X0),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK1(s(sK1(s(X0),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e)) ) ),
inference(superposition,[status(thm)],[c_15129,c_5963]) ).
tcf(c_18710,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),u(e,s(X1)))
| ( X0 = X1 )
| ~ mem(X0,u(e,s(X1))) ),
inference(superposition,[status(thm)],[c_15850,c_56]) ).
tcf(c_18712,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),u(e,s(X1)))
| ( X0 = X1 )
| ~ subq(s(X0),s(X1)) ),
inference(superposition,[status(thm)],[c_15850,c_10552]) ).
tcf(c_18713,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),u(e,s(X1)))
| ( X0 = X1 )
| ~ subq(s(X0),e) ),
inference(superposition,[status(thm)],[c_15850,c_4135]) ).
tcf(c_18716,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(s(X0),u(e,s(X2)))
| ( X0 = X2 )
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_15850,c_1365]) ).
tcf(c_18717,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(s(X0),u(e,s(X2)))
| ( X0 = X2 )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15850,c_932]) ).
tcf(c_18718,plain,
! [X0: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(X0),u(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ( sK1(s(sK1(s(X0),u(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(X0),u(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15850,c_5964]) ).
tcf(c_18745,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(X0,u(p(X1),X2))),u(e,p(X1))) = sK1(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_15856,c_1777]) ).
tcf(c_18746,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(X0,u(p(X1),X2))),u(p(X1),e)) = sK1(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_15135,c_1777]) ).
tcf(c_18747,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(sK1(X0,u(p(X1),X2)),X1)),X1) = sK1(sK1(X0,u(p(X1),X2)),X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1777]) ).
tcf(c_18748,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(X0,u(p(X1),X2))),p(e)) = sK1(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1399,c_1777]) ).
tcf(c_18749,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(X0,u(p(X1),X2))),p(X1)) = sK1(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_1106,c_1777]) ).
tcf(c_18750,plain,
! [X0: $i,X1: $i] : subq(p(X0),u(p(X0),X1)),
inference(superposition,[status(thm)],[c_892,c_1777]) ).
tcf(c_18751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(p(u(X1,X2)),X3))
| ~ subq(sK1(X0,u(p(u(X1,X2)),X3)),X1) ),
inference(superposition,[status(thm)],[c_1778,c_1777]) ).
tcf(c_18752,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_1777]) ).
tcf(c_18753,plain,
! [X0: $i,X1: $i] : subq(p(e),u(p(X0),X1)),
inference(superposition,[status(thm)],[c_1402,c_1777]) ).
tcf(c_18754,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))
| ( sK1(s(sK1(sK1(X0,u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_1777]) ).
tcf(c_18755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(p(u(X1,X2)),X3))
| ~ subq(sK1(X0,u(p(u(X1,X2)),X3)),X2) ),
inference(superposition,[status(thm)],[c_2700,c_1777]) ).
tcf(c_18756,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2))
| ( sK1(s(sK1(sK1(X0,u(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,u(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1777]) ).
tcf(c_18757,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2))
| ( sK1(s(sK1(sK1(X0,u(p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,u(p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1777]) ).
tcf(c_18758,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(u(p(X0),X1),X2),u(p(X0),X1))),u(p(X0),X1))
| ( u(u(p(X0),X1),X2) = u(p(X0),X1) )
| ~ subq(sK1(u(u(p(X0),X1),X2),u(p(X0),X1)),X0) ),
inference(superposition,[status(thm)],[c_5283,c_1777]) ).
tcf(c_18891,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(X0,u(X1,p(X2)))),u(e,p(X2))) = sK1(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_15856,c_2699]) ).
tcf(c_18892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(X0,u(X1,p(X2)))),u(p(X2),e)) = sK1(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_15135,c_2699]) ).
tcf(c_18893,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(sK1(X0,u(X1,p(X2))),X2)),X2) = sK1(sK1(X0,u(X1,p(X2))),X2) ) ),
inference(superposition,[status(thm)],[c_1103,c_2699]) ).
tcf(c_18894,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(X0,u(X1,p(X2)))),p(e)) = sK1(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_1399,c_2699]) ).
tcf(c_18895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(X0,u(X1,p(X2)))),p(X2)) = sK1(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_1106,c_2699]) ).
tcf(c_18896,plain,
! [X0: $i,X1: $i] : subq(p(X0),u(X1,p(X0))),
inference(superposition,[status(thm)],[c_892,c_2699]) ).
tcf(c_18897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,p(u(X2,X3))))
| ~ subq(sK1(X0,u(X1,p(u(X2,X3)))),X2) ),
inference(superposition,[status(thm)],[c_1778,c_2699]) ).
tcf(c_18898,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X2,p(X1)))
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_2699]) ).
tcf(c_18899,plain,
! [X0: $i,X1: $i] : subq(p(e),u(X0,p(X1))),
inference(superposition,[status(thm)],[c_1402,c_2699]) ).
tcf(c_18900,plain,
! [X0: $i,X1: $i] :
( subq(X0,u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(sK1(X0,u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_2699]) ).
tcf(c_18901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,p(u(X2,X3))))
| ~ subq(sK1(X0,u(X1,p(u(X2,X3)))),X3) ),
inference(superposition,[status(thm)],[c_2700,c_2699]) ).
tcf(c_18902,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))))
| ( sK1(s(sK1(sK1(X0,u(X1,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,u(X1,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) ) ),
inference(superposition,[status(thm)],[c_5910,c_2699]) ).
tcf(c_18903,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ( sK1(s(sK1(sK1(X0,u(X1,p(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(sK1(X0,u(X1,p(u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_2699]) ).
tcf(c_18904,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(u(X0,p(X1)),X2),u(X0,p(X1)))),u(X0,p(X1)))
| ( u(u(X0,p(X1)),X2) = u(X0,p(X1)) )
| ~ subq(sK1(u(u(X0,p(X1)),X2),u(X0,p(X1))),X1) ),
inference(superposition,[status(thm)],[c_5283,c_2699]) ).
tcf(c_18966,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_18753,c_16879]) ).
tcf(c_18967,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_18753,c_16056]) ).
tcf(c_18968,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(p(X0),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(p(X0),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_18753,c_6131]) ).
tcf(c_18969,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_18753,c_5265]) ).
tcf(c_18971,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(p(X1),X2))
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_18753,c_1104]) ).
tcf(c_18972,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_18753,c_1246]) ).
tcf(c_18973,plain,
! [X0: $i,X1: $i] :
( ( u(p(X0),X1) = p(e) )
| ~ subq(u(p(X0),X1),p(e)) ),
inference(superposition,[status(thm)],[c_18753,c_59]) ).
tcf(c_19063,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1)))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_18899,c_16879]) ).
tcf(c_19064,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1)))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_18899,c_16056]) ).
tcf(c_19065,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X0,p(X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X0,p(X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_18899,c_6131]) ).
tcf(c_19066,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1)))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_18899,c_5265]) ).
tcf(c_19068,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,p(X2)))
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_18899,c_1104]) ).
tcf(c_19069,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1)))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_18899,c_1246]) ).
tcf(c_19070,plain,
! [X0: $i,X1: $i] :
( ( u(X0,p(X1)) = p(e) )
| ~ subq(u(X0,p(X1)),p(e)) ),
inference(superposition,[status(thm)],[c_18899,c_59]) ).
tcf(c_19110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_17714,c_6134]) ).
tcf(c_19111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_17714,c_6133]) ).
tcf(c_19112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| ( sK1(s(sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_17714,c_58]) ).
tcf(c_19128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_17811,c_6134]) ).
tcf(c_19129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_17811,c_6133]) ).
tcf(c_19130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| ( sK1(s(sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_17811,c_58]) ).
tcf(c_19207,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_16065]) ).
tcf(c_19208,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_16065]) ).
tcf(c_19209,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_50]) ).
tcf(c_19210,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,s(X1))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_52]) ).
tcf(c_19213,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X2,X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16065,c_58]) ).
tcf(c_19214,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,u(X1,X2))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_62]) ).
tcf(c_19215,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,p(X1))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_66]) ).
tcf(c_19216,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(e,X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_50]) ).
tcf(c_19217,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(s(X0),X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_52]) ).
tcf(c_19220,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X2)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16065,c_58]) ).
tcf(c_19221,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(u(X0,X1),X2)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_62]) ).
tcf(c_19222,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(p(X0),X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16065,c_66]) ).
tcf(c_19223,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(equality_factoring,[status(thm)],[c_16065]) ).
tcf(c_19296,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_16888]) ).
tcf(c_19297,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1225,c_16888]) ).
tcf(c_19298,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_50]) ).
tcf(c_19299,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,s(X1))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_52]) ).
tcf(c_19302,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X2,X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16888,c_58]) ).
tcf(c_19303,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,u(X1,X2))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_62]) ).
tcf(c_19304,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,p(X1))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_66]) ).
tcf(c_19305,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(e,X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_50]) ).
tcf(c_19306,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(s(X0),X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_52]) ).
tcf(c_19309,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X2)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_16888,c_58]) ).
tcf(c_19310,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(u(X0,X1),X2)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_62]) ).
tcf(c_19311,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(p(X0),X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16888,c_66]) ).
tcf(c_19312,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(equality_factoring,[status(thm)],[c_16888]) ).
tcf(c_19427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_17637,c_6134]) ).
tcf(c_19428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_17637,c_6133]) ).
tcf(c_19429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X1)
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_17637,c_58]) ).
tcf(c_19445,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6163,c_56]) ).
tcf(c_19446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6163,c_6134]) ).
tcf(c_19447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6163,c_6133]) ).
tcf(c_19448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X0)
| ( sK1(s(sK1(u(u(s(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6163,c_58]) ).
tcf(c_19449,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(u(s(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6163,c_62]) ).
tcf(c_19450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(u(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6163,c_910]) ).
tcf(c_19451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6163,c_918]) ).
tcf(c_19510,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6171,c_56]) ).
tcf(c_19511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(s(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6171,c_6134]) ).
tcf(c_19512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(s(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6171,c_6133]) ).
tcf(c_19513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X0)
| ( sK1(s(sK1(u(X1,u(s(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6171,c_58]) ).
tcf(c_19514,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6171,c_62]) ).
tcf(c_19515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(X0,u(s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6171,c_910]) ).
tcf(c_19516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6171,c_918]) ).
tcf(c_19608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6172,c_6134]) ).
tcf(c_19609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6172,c_6133]) ).
tcf(c_19610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X0)
| ( sK1(s(sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X1),X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6172,c_58]) ).
tcf(c_19611,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(u(p(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(p(X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6172,c_62]) ).
tcf(c_19629,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(superposition,[status(thm)],[c_5290,c_56]) ).
tcf(c_19630,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) ) ),
inference(superposition,[status(thm)],[c_5290,c_57]) ).
tcf(c_19631,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e) ),
inference(superposition,[status(thm)],[c_5290,c_1513]) ).
tcf(c_19632,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) ),
inference(superposition,[status(thm)],[c_5290,c_902]) ).
tcf(c_19633,plain,
! [X0: $i] :
( subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_5290,c_1365]) ).
tcf(c_19634,plain,
! [X0: $i] :
( mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_5290,c_932]) ).
tcf(c_19683,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),u(X0,e)) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_50]) ).
tcf(c_19684,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( X1 = e )
| ( sK1(p(e),u(X0,s(X1))) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_52]) ).
tcf(c_19685,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(X2,X0)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4712,c_6134]) ).
tcf(c_19686,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(X2,X1)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4712,c_6133]) ).
tcf(c_19687,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,X1)
| ( sK1(p(e),u(X2,X0)) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_4712,c_58]) ).
tcf(c_19688,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),u(X0,u(X1,X2))) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_62]) ).
tcf(c_19689,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| mem(e,X0)
| ( sK1(p(e),u(X0,p(X1))) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_66]) ).
tcf(c_19690,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),u(e,X0)) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_50]) ).
tcf(c_19691,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( X0 = e )
| ( sK1(p(e),u(s(X0),X1)) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_52]) ).
tcf(c_19692,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(X0,X2)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4712,c_6134]) ).
tcf(c_19693,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(X1,X2)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_4712,c_6133]) ).
tcf(c_19694,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,X1)
| ( sK1(p(e),u(X0,X2)) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_4712,c_58]) ).
tcf(c_19695,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),u(u(X0,X1),X2)) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_62]) ).
tcf(c_19697,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),u(X0,X0)) = e ) ),
inference(equality_factoring,[status(thm)],[c_4712]) ).
tcf(c_19803,plain,
sK1(p(e),u(e,e)) = e,
inference(superposition,[status(thm)],[c_19683,c_50]) ).
tcf(c_19804,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),u(s(X0),e)) = e ) ),
inference(superposition,[status(thm)],[c_19683,c_52]) ).
tcf(c_19805,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(X0,e)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_19683,c_6134]) ).
tcf(c_19806,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(X1,e)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_19683,c_6133]) ).
tcf(c_19807,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),u(X0,e)) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_19683,c_58]) ).
tcf(c_19808,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),u(u(X0,X1),e)) = e ) ),
inference(superposition,[status(thm)],[c_19683,c_62]) ).
tcf(c_19833,plain,
( subq(p(e),u(e,e))
| ~ mem(e,u(e,e)) ),
inference(superposition,[status(thm)],[c_19803,c_56]) ).
tcf(c_19834,plain,
( mem(e,p(e))
| subq(p(e),u(e,e)) ),
inference(superposition,[status(thm)],[c_19803,c_57]) ).
tcf(c_19835,plain,
( subq(e,e)
| subq(p(e),u(e,e)) ),
inference(superposition,[status(thm)],[c_19803,c_892]) ).
tcf(c_19836,plain,
( subq(p(e),u(e,e))
| ~ subq(s(e),e) ),
inference(superposition,[status(thm)],[c_19803,c_10552]) ).
tcf(c_19838,plain,
( subq(p(e),u(e,e))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_19803,c_918]) ).
tcf(c_19841,plain,
! [X0: $i] :
( mem(e,X0)
| subq(p(e),u(e,e))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_19803,c_932]) ).
tcf(c_19842,plain,
( subq(p(e),u(e,e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(e,e)) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_19803,c_1458]) ).
tcf(c_19871,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(p(e),u(e,s(X0))) = e ) ),
inference(superposition,[status(thm)],[c_19690,c_52]) ).
tcf(c_19872,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(e,X0)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_19690,c_6134]) ).
tcf(c_19873,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),u(e,X1)) = e )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_19690,c_6133]) ).
tcf(c_19874,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),u(e,X0)) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_19690,c_58]) ).
tcf(c_19875,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK1(p(e),u(e,u(X0,X1))) = e ) ),
inference(superposition,[status(thm)],[c_19690,c_62]) ).
tcf(c_19914,plain,
~ subq(s(e),e),
inference(global_subsumption_just,[status(thm)],[c_19836,c_68,c_953]) ).
tcf(c_19916,plain,
sK1(s(s(e)),u(e,p(e))) = s(e),
inference(superposition,[status(thm)],[c_15856,c_19914]) ).
tcf(c_19917,plain,
sK1(s(s(e)),u(p(e),e)) = s(e),
inference(superposition,[status(thm)],[c_15135,c_19914]) ).
tcf(c_19918,plain,
sK1(s(sK1(s(e),e)),e) = sK1(s(e),e),
inference(superposition,[status(thm)],[c_1103,c_19914]) ).
tcf(c_19919,plain,
sK1(s(s(e)),p(e)) = s(e),
inference(superposition,[status(thm)],[c_1399,c_19914]) ).
tcf(c_19921,plain,
sK1(s(e),e) = e,
inference(superposition,[status(thm)],[c_880,c_19914]) ).
tcf(c_19931,plain,
( subq(s(s(e)),p(e))
| ~ mem(s(e),p(e)) ),
inference(superposition,[status(thm)],[c_19919,c_56]) ).
tcf(c_19932,plain,
( subq(s(s(e)),p(e))
| mem(s(e),s(s(e))) ),
inference(superposition,[status(thm)],[c_19919,c_57]) ).
tcf(c_19935,plain,
! [X0: $i] :
( subq(s(e),X0)
| subq(s(s(e)),p(e))
| ~ subq(s(s(e)),p(X0)) ),
inference(superposition,[status(thm)],[c_19919,c_1365]) ).
tcf(c_19936,plain,
! [X0: $i] :
( mem(s(e),X0)
| subq(s(s(e)),p(e))
| ~ subq(s(s(e)),X0) ),
inference(superposition,[status(thm)],[c_19919,c_932]) ).
tcf(c_19951,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),p(e)) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5685,c_6134]) ).
tcf(c_19952,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),p(e)) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5685,c_6133]) ).
tcf(c_19953,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),p(e)) = X2 )
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_5685,c_58]) ).
tcf(c_19998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X3),X0) = X3 )
| ( sK1(s(sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5687,c_6134]) ).
tcf(c_19999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X3),X1) = X3 )
| ( sK1(s(sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5687,c_6133]) ).
tcf(c_20000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ( sK1(s(X3),X0) = X3 )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_5687,c_58]) ).
tcf(c_20002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,X2),X3))
| ( sK1(s(sK1(X0,u(u(X1,X2),X3))),X1) = sK1(X0,u(u(X1,X2),X3)) ) ),
inference(superposition,[status(thm)],[c_5687,c_910]) ).
tcf(c_20003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,X3)))
| ( sK1(s(sK1(X0,u(X1,u(X2,X3)))),X2) = sK1(X0,u(X1,u(X2,X3))) ) ),
inference(superposition,[status(thm)],[c_5687,c_918]) ).
tcf(c_20022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6173,c_6134]) ).
tcf(c_20023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6173,c_6133]) ).
tcf(c_20024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X0)
| ( sK1(s(sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(p(X2),X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6173,c_58]) ).
tcf(c_20025,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(p(X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6173,c_62]) ).
tcf(c_20053,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6174,c_56]) ).
tcf(c_20054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,s(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,s(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6174,c_6134]) ).
tcf(c_20055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,s(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,s(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6174,c_6133]) ).
tcf(c_20056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X0)
| ( sK1(s(sK1(u(u(X1,s(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,s(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6174,c_58]) ).
tcf(c_20057,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6174,c_62]) ).
tcf(c_20058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))
| ( sK1(s(sK1(u(u(X0,s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(sK1(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6174,c_910]) ).
tcf(c_20059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X0,s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,s(sK1(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6174,c_918]) ).
tcf(c_20128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,s(sK1(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(sK1(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6175,c_56]) ).
tcf(c_20129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,s(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,s(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6175,c_6134]) ).
tcf(c_20130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,s(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,s(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6175,c_6133]) ).
tcf(c_20131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X0)
| ( sK1(s(sK1(u(X1,u(X2,s(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,s(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6175,c_58]) ).
tcf(c_20132,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X2,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6175,c_62]) ).
tcf(c_20133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))
| ( sK1(s(sK1(u(X0,u(X1,s(sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6175,c_910]) ).
tcf(c_20134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X0,u(X1,s(sK1(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,s(sK1(X2,u(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6175,c_918]) ).
tcf(c_20171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6176,c_6134]) ).
tcf(c_20172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6176,c_6133]) ).
tcf(c_20173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X0)
| ( sK1(s(sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,p(X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6176,c_58]) ).
tcf(c_20174,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,p(X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6176,c_62]) ).
tcf(c_20192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6177,c_6134]) ).
tcf(c_20193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6177,c_6133]) ).
tcf(c_20194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X0)
| ( sK1(s(sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,p(X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_6177,c_58]) ).
tcf(c_20195,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,p(X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6177,c_62]) ).
tcf(c_20241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6368,c_6134]) ).
tcf(c_20242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ( sK1(s(sK1(u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6368,c_6133]) ).
tcf(c_20243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| ( sK1(s(sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_6368,c_58]) ).
tcf(c_20261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6645,c_6134]) ).
tcf(c_20262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_6645,c_6133]) ).
tcf(c_20263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| ( sK1(s(sK1(p(X3),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ),
inference(superposition,[status(thm)],[c_6645,c_58]) ).
tcf(c_20283,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e) ),
inference(superposition,[status(thm)],[c_8299,c_56]) ).
tcf(c_20284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8299,c_6134]) ).
tcf(c_20285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8299,c_6133]) ).
tcf(c_20286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X0)
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X1,e)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_8299,c_58]) ).
tcf(c_20287,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8299,c_62]) ).
tcf(c_20288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),e) ),
inference(superposition,[status(thm)],[c_8299,c_910]) ).
tcf(c_20289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X2),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e) ),
inference(superposition,[status(thm)],[c_8299,c_918]) ).
tcf(c_20338,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,X1),X1)),X1)
| ( u(X0,X1) = X1 )
| ~ mem(sK1(u(X0,X1),X1),X1) ),
inference(superposition,[status(thm)],[c_5294,c_56]) ).
tcf(c_20339,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,X1),X1)),X1)
| mem(sK1(u(X0,X1),X1),s(sK1(u(X0,X1),X1)))
| ( u(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_5294,c_57]) ).
tcf(c_20340,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,p(X1)),p(X1))),p(X1))
| ( u(X0,p(X1)) = p(X1) )
| ~ subq(sK1(u(X0,p(X1)),p(X1)),e) ),
inference(superposition,[status(thm)],[c_5294,c_1513]) ).
tcf(c_20341,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,p(X1)),p(X1))),p(X1))
| ( u(X0,p(X1)) = p(X1) )
| ~ subq(sK1(u(X0,p(X1)),p(X1)),X1) ),
inference(superposition,[status(thm)],[c_5294,c_902]) ).
tcf(c_20342,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(X0,u(X1,X2)),u(X1,X2))),u(X1,X2))
| ( u(X0,u(X1,X2)) = u(X1,X2) )
| ~ subq(s(sK1(u(X0,u(X1,X2)),u(X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_5294,c_10552]) ).
tcf(c_20343,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(X0,u(X1,X2)),u(X1,X2))),u(X1,X2))
| ( u(X0,u(X1,X2)) = u(X1,X2) )
| ~ subq(s(sK1(u(X0,u(X1,X2)),u(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_5294,c_4135]) ).
tcf(c_20344,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(X0,u(X1,X2)),u(X1,X2))),u(X1,X2))
| ( u(X0,u(X1,X2)) = u(X1,X2) )
| ~ mem(sK1(u(X0,u(X1,X2)),u(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_5294,c_918]) ).
tcf(c_20345,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(X0,u(X1,X2)),u(X1,X2))),u(X1,X2))
| ( u(X0,u(X1,X2)) = u(X1,X2) )
| ~ mem(sK1(u(X0,u(X1,X2)),u(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_5294,c_910]) ).
tcf(c_20346,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK1(u(X0,X1),X1),X2)
| subq(s(sK1(u(X0,X1),X1)),X1)
| ( u(X0,X1) = X1 )
| ~ subq(s(sK1(u(X0,X1),X1)),p(X2)) ),
inference(superposition,[status(thm)],[c_5294,c_1365]) ).
tcf(c_20347,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK1(u(X0,X1),X1),X2)
| subq(s(sK1(u(X0,X1),X1)),X1)
| ( u(X0,X1) = X1 )
| ~ subq(s(sK1(u(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_5294,c_932]) ).
tcf(c_20348,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(X0,u(p(X1),X2)),u(p(X1),X2))),u(p(X1),X2))
| ( u(X0,u(p(X1),X2)) = u(p(X1),X2) )
| ~ subq(sK1(u(X0,u(p(X1),X2)),u(p(X1),X2)),X1) ),
inference(superposition,[status(thm)],[c_5294,c_1777]) ).
tcf(c_20349,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(sK1(u(X0,u(X1,p(X2))),u(X1,p(X2)))),u(X1,p(X2)))
| ( u(X0,u(X1,p(X2))) = u(X1,p(X2)) )
| ~ subq(sK1(u(X0,u(X1,p(X2))),u(X1,p(X2))),X2) ),
inference(superposition,[status(thm)],[c_5294,c_2699]) ).
tcf(c_20350,plain,
! [X0: $i] :
( mem(sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(sK1(s(sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_5294,c_5961]) ).
tcf(c_20351,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))
| ( u(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)) = u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1) )
| ( sK1(s(sK1(s(sK1(u(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(X0,u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1))),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5294,c_5963]) ).
tcf(c_20352,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(s(sK1(u(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(s(sK1(u(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(s(sK1(u(X0,u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5294,c_5964]) ).
tcf(c_20438,plain,
~ mem(e,u(e,e)),
inference(global_subsumption_just,[status(thm)],[c_19833,c_68,c_79]) ).
tcf(c_20440,plain,
sK1(s(e),u(e,u(e,e))) = e,
inference(superposition,[status(thm)],[c_14918,c_20438]) ).
tcf(c_20441,plain,
sK1(s(e),u(u(e,e),e)) = e,
inference(superposition,[status(thm)],[c_14903,c_20438]) ).
tcf(c_20442,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(s(e),u(u(e,e),X0)) = e ) ),
inference(superposition,[status(thm)],[c_1105,c_20438]) ).
tcf(c_20443,plain,
sK1(s(e),u(e,e)) = e,
inference(superposition,[status(thm)],[c_1084,c_20438]) ).
tcf(c_20444,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(s(e),u(X0,u(e,e))) = e ) ),
inference(superposition,[status(thm)],[c_1105,c_20438]) ).
tcf(c_20449,plain,
~ mem(e,e),
inference(superposition,[status(thm)],[c_61,c_20438]) ).
tcf(c_20450,plain,
( ( sK1(s(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(e,e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_20438]) ).
tcf(c_20451,plain,
( ( sK1(s(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(e,e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_20438]) ).
tcf(c_20452,plain,
( ( sK1(s(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,e))),u(e,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,e)) ) ),
inference(superposition,[status(thm)],[c_6015,c_20438]) ).
tcf(c_20453,plain,
( ( sK1(s(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(e,e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_20438]) ).
tcf(c_20454,plain,
sK1(p(e),u(e,u(e,e))) = e,
inference(superposition,[status(thm)],[c_19690,c_20438]) ).
tcf(c_20455,plain,
sK1(p(e),u(u(e,e),e)) = e,
inference(superposition,[status(thm)],[c_19683,c_20438]) ).
tcf(c_20456,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),u(u(e,e),X0)) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_20438]) ).
tcf(c_20457,plain,
( ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(e,e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16869,c_20438]) ).
tcf(c_20458,plain,
( ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(e,e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16046,c_20438]) ).
tcf(c_20459,plain,
( ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,e))),u(e,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,e)) ) ),
inference(superposition,[status(thm)],[c_9225,c_20438]) ).
tcf(c_20460,plain,
( ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(e,e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_9227,c_20438]) ).
tcf(c_20463,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),u(X0,u(e,e))) = e ) ),
inference(superposition,[status(thm)],[c_4712,c_20438]) ).
tcf(c_20587,plain,
~ mem(s(e),p(e)),
inference(global_subsumption_just,[status(thm)],[c_19931,c_68,c_953,c_2148]) ).
tcf(c_20591,plain,
! [X0: $i] :
( mem(s(e),X0)
| ( sK1(s(s(e)),u(p(e),X0)) = s(e) ) ),
inference(superposition,[status(thm)],[c_1105,c_20587]) ).
tcf(c_20593,plain,
! [X0: $i] :
( mem(s(e),X0)
| ( sK1(s(s(e)),u(X0,p(e))) = s(e) ) ),
inference(superposition,[status(thm)],[c_1105,c_20587]) ).
tcf(c_20597,plain,
( ( sK1(s(s(e)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(e) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16870,c_20587]) ).
tcf(c_20598,plain,
( ( sK1(s(s(e)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(e) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_16047,c_20587]) ).
tcf(c_20599,plain,
( ( sK1(s(s(e)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(e) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_6015,c_20587]) ).
tcf(c_20600,plain,
( ( sK1(s(s(e)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(e) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6017,c_20587]) ).
tcf(c_20645,plain,
! [X0: $i] :
( subq(p(e),u(s(X0),e))
| ( X0 = e )
| ~ mem(e,u(s(X0),e)) ),
inference(superposition,[status(thm)],[c_19804,c_56]) ).
tcf(c_20646,plain,
! [X0: $i] :
( mem(e,p(e))
| subq(p(e),u(s(X0),e))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_19804,c_57]) ).
tcf(c_20647,plain,
! [X0: $i] :
( subq(e,e)
| subq(p(e),u(s(X0),e))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_19804,c_892]) ).
tcf(c_20649,plain,
! [X0: $i] :
( subq(p(e),u(s(X0),e))
| ( X0 = e )
| ~ subq(s(e),s(X0)) ),
inference(superposition,[status(thm)],[c_19804,c_4135]) ).
tcf(c_20650,plain,
! [X0: $i] :
( subq(p(e),u(s(X0),e))
| ( X0 = e )
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_19804,c_918]) ).
tcf(c_20651,plain,
! [X0: $i] :
( subq(p(e),u(s(X0),e))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_19804,c_910]) ).
tcf(c_20653,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(p(e),u(s(X1),e))
| ( X1 = e )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_19804,c_932]) ).
tcf(c_20654,plain,
! [X0: $i] :
( subq(p(e),u(s(X0),e))
| ( X0 = e )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(s(X0),e)) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_19804,c_1458]) ).
tcf(c_20655,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(p(e),u(s(X0),e))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_19804,c_1402]) ).
tcf(c_20656,plain,
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(p(e),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(s(sK1(p(e),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e)) ) ),
inference(superposition,[status(thm)],[c_19804,c_5963]) ).
tcf(c_20682,plain,
! [X0: $i] :
( subq(p(e),u(e,s(X0)))
| ( X0 = e )
| ~ mem(e,u(e,s(X0))) ),
inference(superposition,[status(thm)],[c_19871,c_56]) ).
tcf(c_20683,plain,
! [X0: $i] :
( mem(e,p(e))
| subq(p(e),u(e,s(X0)))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_19871,c_57]) ).
tcf(c_20684,plain,
! [X0: $i] :
( subq(e,e)
| subq(p(e),u(e,s(X0)))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_19871,c_892]) ).
tcf(c_20685,plain,
! [X0: $i] :
( subq(p(e),u(e,s(X0)))
| ( X0 = e )
| ~ subq(s(e),s(X0)) ),
inference(superposition,[status(thm)],[c_19871,c_10552]) ).
tcf(c_20687,plain,
! [X0: $i] :
( subq(p(e),u(e,s(X0)))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_19871,c_918]) ).
tcf(c_20688,plain,
! [X0: $i] :
( subq(p(e),u(e,s(X0)))
| ( X0 = e )
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_19871,c_910]) ).
tcf(c_20690,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(p(e),u(e,s(X1)))
| ( X1 = e )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_19871,c_932]) ).
tcf(c_20691,plain,
! [X0: $i] :
( subq(p(e),u(e,s(X0)))
| ( X0 = e )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(e,s(X0))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_19871,c_1458]) ).
tcf(c_20692,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(p(e),u(e,s(X0)))
| ( X0 = e ) ),
inference(superposition,[status(thm)],[c_19871,c_1402]) ).
tcf(c_20693,plain,
( mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| subq(p(e),u(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = e )
| ( sK1(s(sK1(p(e),u(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(e,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_19871,c_5964]) ).
tcf(c_20715,plain,
( subq(s(e),u(e,u(e,e)))
| ~ mem(e,u(e,u(e,e))) ),
inference(superposition,[status(thm)],[c_20440,c_56]) ).
tcf(c_20716,plain,
( mem(e,s(e))
| subq(s(e),u(e,u(e,e))) ),
inference(superposition,[status(thm)],[c_20440,c_57]) ).
tcf(c_20717,plain,
( subq(s(e),u(e,u(e,e)))
| ~ subq(s(e),u(e,e)) ),
inference(superposition,[status(thm)],[c_20440,c_10552]) ).
tcf(c_20720,plain,
( subq(s(e),u(e,u(e,e)))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_20440,c_910]) ).
tcf(c_20722,plain,
! [X0: $i] :
( mem(e,X0)
| subq(s(e),u(e,u(e,e)))
| ~ subq(s(e),X0) ),
inference(superposition,[status(thm)],[c_20440,c_932]) ).
tcf(c_20730,plain,
( subq(s(e),u(u(e,e),e))
| ~ mem(e,u(u(e,e),e)) ),
inference(superposition,[status(thm)],[c_20441,c_56]) ).
tcf(c_20731,plain,
( mem(e,s(e))
| subq(s(e),u(u(e,e),e)) ),
inference(superposition,[status(thm)],[c_20441,c_57]) ).
tcf(c_20733,plain,
( subq(s(e),u(u(e,e),e))
| ~ subq(s(e),u(e,e)) ),
inference(superposition,[status(thm)],[c_20441,c_4135]) ).
tcf(c_20734,plain,
( subq(s(e),u(u(e,e),e))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_20441,c_918]) ).
tcf(c_20737,plain,
! [X0: $i] :
( mem(e,X0)
| subq(s(e),u(u(e,e),e))
| ~ subq(s(e),X0) ),
inference(superposition,[status(thm)],[c_20441,c_932]) ).
tcf(c_20775,plain,
( subq(p(e),u(e,u(e,e)))
| ~ mem(e,u(e,u(e,e))) ),
inference(superposition,[status(thm)],[c_20454,c_56]) ).
tcf(c_20776,plain,
( mem(e,p(e))
| subq(p(e),u(e,u(e,e))) ),
inference(superposition,[status(thm)],[c_20454,c_57]) ).
tcf(c_20777,plain,
( subq(e,e)
| subq(p(e),u(e,u(e,e))) ),
inference(superposition,[status(thm)],[c_20454,c_892]) ).
tcf(c_20778,plain,
( subq(p(e),u(e,u(e,e)))
| ~ subq(s(e),u(e,e)) ),
inference(superposition,[status(thm)],[c_20454,c_10552]) ).
tcf(c_20781,plain,
( subq(p(e),u(e,u(e,e)))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_20454,c_910]) ).
tcf(c_20783,plain,
! [X0: $i] :
( mem(e,X0)
| subq(p(e),u(e,u(e,e)))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_20454,c_932]) ).
tcf(c_20784,plain,
( subq(p(e),u(e,u(e,e)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(e,u(e,e))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_20454,c_1458]) ).
tcf(c_20794,plain,
( subq(p(e),u(u(e,e),e))
| ~ mem(e,u(u(e,e),e)) ),
inference(superposition,[status(thm)],[c_20455,c_56]) ).
tcf(c_20795,plain,
( mem(e,p(e))
| subq(p(e),u(u(e,e),e)) ),
inference(superposition,[status(thm)],[c_20455,c_57]) ).
tcf(c_20796,plain,
( subq(e,e)
| subq(p(e),u(u(e,e),e)) ),
inference(superposition,[status(thm)],[c_20455,c_892]) ).
tcf(c_20798,plain,
( subq(p(e),u(u(e,e),e))
| ~ subq(s(e),u(e,e)) ),
inference(superposition,[status(thm)],[c_20455,c_4135]) ).
tcf(c_20799,plain,
( subq(p(e),u(u(e,e),e))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_20455,c_918]) ).
tcf(c_20802,plain,
! [X0: $i] :
( mem(e,X0)
| subq(p(e),u(u(e,e),e))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_20455,c_932]) ).
tcf(c_20803,plain,
( subq(p(e),u(u(e,e),e))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),u(u(e,e),e)) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_20455,c_1458]) ).
tcf(c_20819,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(e,p(X0))) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_8403]) ).
tcf(c_20820,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(p(X0),e)) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_8403]) ).
tcf(c_20821,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,X0)),X0) = sK1(X2,X0) )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_8403]) ).
tcf(c_20823,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),p(X0)) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_8403]) ).
tcf(c_20824,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_310,c_8403]) ).
tcf(c_20826,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(s(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_8403]) ).
tcf(c_20827,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(X0),X2)
| mem(sK1(p(X0),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_892,c_8403]) ).
tcf(c_20828,plain,
! [X0: $i,X1: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_8403]) ).
tcf(c_20829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X1,X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X1,X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_8403]) ).
tcf(c_20832,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1069,c_8403]) ).
tcf(c_20833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_8403]) ).
tcf(c_20834,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(e),X2)
| mem(sK1(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1402,c_8403]) ).
tcf(c_20835,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(p(X0)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(p(X0)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1455,c_8403]) ).
tcf(c_20836,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X0,X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X0,X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_8403]) ).
tcf(c_20837,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_8403]) ).
tcf(c_20838,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X0,X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X0,X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_8403]) ).
tcf(c_20839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X2,X1)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X2,X1)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_8403]) ).
tcf(c_20840,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( X0 = e )
| ( sK1(s(sK1(u(p(s(X0)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(s(X0)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_8403]) ).
tcf(c_20842,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(u(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5910,c_8403]) ).
tcf(c_20843,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X2,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(p(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_8403]) ).
tcf(c_20844,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(p(X0),X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(p(X0),X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_18753,c_8403]) ).
tcf(c_20845,plain,
! [X0: $i,X1: $i] :
( mem(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(e,e)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(e,e)),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_8403]) ).
tcf(c_20846,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X0,p(X1))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X0,p(X1))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_18899,c_8403]) ).
tcf(c_20950,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_20824,c_6134]) ).
tcf(c_20951,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_20824,c_6133]) ).
tcf(c_20952,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_20824,c_58]) ).
tcf(c_20953,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_20824,c_62]) ).
tcf(c_20988,plain,
! [X0: $i,X1: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_20952,c_52]) ).
tcf(c_20989,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_20952,c_6134]) ).
tcf(c_20990,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_20952,c_6133]) ).
tcf(c_20991,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_20952,c_58]) ).
tcf(c_20992,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_20952,c_62]) ).
tcf(c_20993,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_20952,c_66]) ).
tcf(c_20994,plain,
! [X0: $i] :
( ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
inference(superposition,[status(thm)],[c_20952,c_2023]) ).
tcf(c_20995,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(superposition,[status(thm)],[c_20952,c_2486]) ).
tcf(c_21083,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_20953,c_52]) ).
tcf(c_21084,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_20953,c_6134]) ).
tcf(c_21085,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_20953,c_6133]) ).
tcf(c_21086,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_20953,c_58]) ).
tcf(c_21116,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e) ),
inference(superposition,[status(thm)],[c_9619,c_56]) ).
tcf(c_21117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_9619,c_6134]) ).
tcf(c_21118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_9619,c_6133]) ).
tcf(c_21119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X0)
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X1,e)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_9619,c_58]) ).
tcf(c_21120,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_9619,c_62]) ).
tcf(c_21121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),e) ),
inference(superposition,[status(thm)],[c_9619,c_910]) ).
tcf(c_21122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X3)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e) ),
inference(superposition,[status(thm)],[c_9619,c_918]) ).
tcf(c_21173,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(e,p(X1))) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_9726]) ).
tcf(c_21174,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(p(X1),e)) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_9726]) ).
tcf(c_21175,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,X1)),X1) = sK1(X2,X1) )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_9726]) ).
tcf(c_21177,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),p(X1)) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_9726]) ).
tcf(c_21178,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_310,c_9726]) ).
tcf(c_21180,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(s(X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),X1) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_880,c_9726]) ).
tcf(c_21181,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(X1),X2)
| mem(sK1(p(X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_892,c_9726]) ).
tcf(c_21182,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_9726]) ).
tcf(c_21183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(u(X1,X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(u(X1,X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_9726]) ).
tcf(c_21186,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1069,c_9726]) ).
tcf(c_21187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_9726]) ).
tcf(c_21188,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(e),X2)
| mem(sK1(p(e),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1402,c_9726]) ).
tcf(c_21189,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(p(X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(p(X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1455,c_9726]) ).
tcf(c_21190,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(u(X1,X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(X1,X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_9726]) ).
tcf(c_21191,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_9726]) ).
tcf(c_21192,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(u(X1,X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(X1,X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_9726]) ).
tcf(c_21193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,p(u(X3,X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(u(X3,X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_9726]) ).
tcf(c_21194,plain,
! [X0: $i,X1: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( X0 = e )
| ( sK1(s(sK1(u(X1,p(s(X0))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(s(X0))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_9726]) ).
tcf(c_21196,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ( sK1(s(sK1(u(X0,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5910,c_9726]) ).
tcf(c_21197,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(X0,p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_9726]) ).
tcf(c_21198,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(u(p(X1),X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(p(X1),X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_18753,c_9726]) ).
tcf(c_21199,plain,
! [X0: $i,X1: $i] :
( mem(s(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(u(e,e))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(e,e))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_9726]) ).
tcf(c_21200,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(p(e),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,p(u(X1,p(X2)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(X1,p(X2)))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_18899,c_9726]) ).
tcf(c_21436,plain,
! [X0: $i] :
( subq(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_6157,c_56]) ).
tcf(c_21437,plain,
! [X0: $i] :
( subq(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6157,c_57]) ).
tcf(c_21438,plain,
! [X0: $i,X1: $i] :
( subq(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X1)) ),
inference(superposition,[status(thm)],[c_6157,c_1365]) ).
tcf(c_21439,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ),
inference(superposition,[status(thm)],[c_6157,c_932]) ).
tcf(c_21460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X1,X2),X3)),u(e,p(X4))) = u(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_12057]) ).
tcf(c_21461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X1,X2),X3)),u(p(X4),e)) = u(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_12057]) ).
tcf(c_21462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(X1,X2),X3),X4)),X4) = sK1(u(u(X1,X2),X3),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_12057]) ).
tcf(c_21463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X1,X2),X3)),p(e)) = u(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_12057]) ).
tcf(c_21464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X1,X2),X3)),p(X4)) = u(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_12057]) ).
tcf(c_21466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X3,X5))
| ~ mem(X4,X0)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_12057]) ).
tcf(c_21467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(u(X1,X2),X3),X4))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_12057]) ).
tcf(c_21469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X2,u(u(X1,X3),X4)))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_12057]) ).
tcf(c_21470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X5,X3))
| ~ mem(X4,X0)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_12057]) ).
tcf(c_21471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(X1,X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,X2),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_12057]) ).
tcf(c_21472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X1,X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,X2),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_12057]) ).
tcf(c_21603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X1,X3))),u(e,p(X4))) = u(X2,u(X1,X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_12074]) ).
tcf(c_21604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X1,X3))),u(p(X4),e)) = u(X2,u(X1,X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_12074]) ).
tcf(c_21605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(X2,u(X1,X3)),X4)),X4) = sK1(u(X2,u(X1,X3)),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_12074]) ).
tcf(c_21606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X1,X3))),p(e)) = u(X2,u(X1,X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_12074]) ).
tcf(c_21607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X1,X3))),p(X4)) = u(X2,u(X1,X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_12074]) ).
tcf(c_21609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X3,X5))
| ~ mem(X4,X1)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_1778,c_12074]) ).
tcf(c_21610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(X2,u(X1,X3)),X4))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_12074]) ).
tcf(c_21612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X2,u(X3,u(X1,X4))))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_12074]) ).
tcf(c_21613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X5,X3))
| ~ mem(X4,X1)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_2700,c_12074]) ).
tcf(c_21614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X2,u(X1,X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X1,X3)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_12074]) ).
tcf(c_21615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X2,u(X1,X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X1,X3)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_12074]) ).
tcf(c_21774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X2,X1),X3)),u(e,p(X4))) = u(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_12125]) ).
tcf(c_21775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X2,X1),X3)),u(p(X4),e)) = u(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_12125]) ).
tcf(c_21776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(X2,X1),X3),X4)),X4) = sK1(u(u(X2,X1),X3),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_12125]) ).
tcf(c_21777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X2,X1),X3)),p(e)) = u(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_12125]) ).
tcf(c_21778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(u(X2,X1),X3)),p(X4)) = u(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_12125]) ).
tcf(c_21780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X3,X5))
| ~ mem(X4,X1)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1778,c_12125]) ).
tcf(c_21781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(u(X2,X1),X3),X4))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_12125]) ).
tcf(c_21783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X2,u(u(X3,X1),X4)))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_12125]) ).
tcf(c_21784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X5,X3))
| ~ mem(X4,X1)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_2700,c_12125]) ).
tcf(c_21785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(u(X2,X1),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,X1),X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_12125]) ).
tcf(c_21786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(u(X2,X1),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,X1),X3),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_12125]) ).
tcf(c_21929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X3,X1))),u(e,p(X4))) = u(X2,u(X3,X1)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_12141]) ).
tcf(c_21930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X3,X1))),u(p(X4),e)) = u(X2,u(X3,X1)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_12141]) ).
tcf(c_21931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(X2,u(X3,X1)),X4)),X4) = sK1(u(X2,u(X3,X1)),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_12141]) ).
tcf(c_21932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X3,X1))),p(e)) = u(X2,u(X3,X1)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_12141]) ).
tcf(c_21933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(u(X2,u(X3,X1))),p(X4)) = u(X2,u(X3,X1)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_12141]) ).
tcf(c_21935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X3,X5))
| ~ mem(X4,X2)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_1778,c_12141]) ).
tcf(c_21936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(X2,u(X3,X1)),X4))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_1772,c_12141]) ).
tcf(c_21938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X2,u(X3,u(X4,X1))))
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_2694,c_12141]) ).
tcf(c_21939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X4,u(X5,X3))
| ~ mem(X4,X2)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_2700,c_12141]) ).
tcf(c_21940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))
| ( sK1(s(sK1(u(X2,u(X3,X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5910,c_12141]) ).
tcf(c_21941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(u(X2,u(X3,X1)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,X1)),u(X4,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_5911,c_12141]) ).
tcf(c_22080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X3),X1) = X3 )
| ( sK1(s(sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5688,c_6134]) ).
tcf(c_22081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X3),X2) = X3 )
| ( sK1(s(sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5688,c_6133]) ).
tcf(c_22082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| ( sK1(s(X3),X1) = X3 )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_5688,c_58]) ).
tcf(c_22085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(u(X1,X2),X3))
| ( sK1(s(sK1(X0,u(u(X1,X2),X3))),X2) = sK1(X0,u(u(X1,X2),X3)) ) ),
inference(superposition,[status(thm)],[c_5688,c_910]) ).
tcf(c_22086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,u(X2,X3)))
| ( sK1(s(sK1(X0,u(X1,u(X2,X3)))),X3) = sK1(X0,u(X1,u(X2,X3))) ) ),
inference(superposition,[status(thm)],[c_5688,c_918]) ).
tcf(c_22105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(p(X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8298,c_6134]) ).
tcf(c_22106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(u(p(X2),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(u(p(X2),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8298,c_6133]) ).
tcf(c_22107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ subq(X4,e)
| ~ subq(u(u(p(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_8298,c_58]) ).
tcf(c_22109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(u(p(X1),X2),X3),X4))
| ~ subq(sK1(X0,u(u(u(p(X1),X2),X3),X4)),e) ),
inference(superposition,[status(thm)],[c_8298,c_910]) ).
tcf(c_22110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(u(p(X2),X3),X4)))
| ~ subq(sK1(X0,u(X1,u(u(p(X2),X3),X4))),e) ),
inference(superposition,[status(thm)],[c_8298,c_918]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,u(p(X2),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,u(p(X2),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8300,c_6134]) ).
tcf(c_22142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,u(p(X3),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,u(p(X3),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_8300,c_6133]) ).
tcf(c_22143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ subq(X4,e)
| ~ subq(u(X0,u(p(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_8300,c_58]) ).
tcf(c_22145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(X1,u(p(X2),X3)),X4))
| ~ subq(sK1(X0,u(u(X1,u(p(X2),X3)),X4)),e) ),
inference(superposition,[status(thm)],[c_8300,c_910]) ).
tcf(c_22146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(X2,u(p(X3),X4))))
| ~ subq(sK1(X0,u(X1,u(X2,u(p(X3),X4)))),e) ),
inference(superposition,[status(thm)],[c_8300,c_918]) ).
tcf(c_22176,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_21178,c_6134]) ).
tcf(c_22177,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_21178,c_6133]) ).
tcf(c_22178,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_21178,c_58]) ).
tcf(c_22179,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_21178,c_62]) ).
tcf(c_22200,plain,
! [X0: $i,X1: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ( sK1(s(sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_22178,c_52]) ).
tcf(c_22201,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22178,c_6134]) ).
tcf(c_22202,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22178,c_6133]) ).
tcf(c_22203,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(s(sK1(u(X2,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22178,c_58]) ).
tcf(c_22204,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(u(X2,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_22178,c_62]) ).
tcf(c_22205,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_22178,c_66]) ).
tcf(c_22206,plain,
! [X0: $i] :
( ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
inference(superposition,[status(thm)],[c_22178,c_2023]) ).
tcf(c_22207,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(superposition,[status(thm)],[c_22178,c_2486]) ).
tcf(c_22258,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_22179,c_52]) ).
tcf(c_22259,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_22179,c_6134]) ).
tcf(c_22260,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_22179,c_6133]) ).
tcf(c_22261,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) ),
inference(superposition,[status(thm)],[c_22179,c_58]) ).
tcf(c_22289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ( sK1(s(sK1(u(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11281,c_6134]) ).
tcf(c_22290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)) )
| ( sK1(s(sK1(u(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11281,c_6133]) ).
tcf(c_22291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| ( sK1(s(sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ~ subq(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2) ),
inference(superposition,[status(thm)],[c_11281,c_58]) ).
tcf(c_22321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11282,c_6134]) ).
tcf(c_22322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X3),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_11282,c_6133]) ).
tcf(c_22323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| ( sK1(s(sK1(p(X3),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X3),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) ),
inference(superposition,[status(thm)],[c_11282,c_58]) ).
tcf(c_22343,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(X0,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_1225,c_5272]) ).
tcf(c_22344,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(X0,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_1225,c_5272]) ).
tcf(c_22345,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,e))),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,e)) ) ),
inference(superposition,[status(thm)],[c_5272,c_50]) ).
tcf(c_22346,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,s(X1)))),u(X0,s(X1))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,s(X1))) ) ),
inference(superposition,[status(thm)],[c_5272,c_52]) ).
tcf(c_22349,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X2,X0))),u(X2,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X2,X0)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5272,c_58]) ).
tcf(c_22350,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(X1,X2)))),u(X0,u(X1,X2))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_5272,c_62]) ).
tcf(c_22351,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,p(X1)))),u(X0,p(X1))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,p(X1))) ) ),
inference(superposition,[status(thm)],[c_5272,c_66]) ).
tcf(c_22352,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,X0))),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(e,X0)) ) ),
inference(superposition,[status(thm)],[c_5272,c_50]) ).
tcf(c_22353,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(X0),X1))),u(s(X0),X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(X0),X1)) ) ),
inference(superposition,[status(thm)],[c_5272,c_52]) ).
tcf(c_22356,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X2))),u(X0,X2)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X2)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5272,c_58]) ).
tcf(c_22357,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(X0,X1),X2))),u(u(X0,X1),X2)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(X0,X1),X2)) ) ),
inference(superposition,[status(thm)],[c_5272,c_62]) ).
tcf(c_22358,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(X0),X1))),u(p(X0),X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(X0),X1)) ) ),
inference(superposition,[status(thm)],[c_5272,c_66]) ).
tcf(c_22359,plain,
! [X0: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X0))),u(X0,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X0)) ) ),
inference(equality_factoring,[status(thm)],[c_5272]) ).
tcf(c_22425,plain,
! [X0: $i] :
( subq(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ mem(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_6167,c_56]) ).
tcf(c_22426,plain,
! [X0: $i] :
( subq(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_6167,c_57]) ).
tcf(c_22427,plain,
! [X0: $i,X1: $i] :
( subq(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X1)) ),
inference(superposition,[status(thm)],[c_6167,c_1365]) ).
tcf(c_22428,plain,
! [X0: $i,X1: $i] :
( mem(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ),
inference(superposition,[status(thm)],[c_6167,c_932]) ).
tcf(c_22460,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(X0),u(e,p(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_1237]) ).
tcf(c_22461,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(X0),u(p(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_1237]) ).
tcf(c_22462,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1237]) ).
tcf(c_22463,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(X0),p(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_1237]) ).
tcf(c_22464,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(X0),p(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_1237]) ).
tcf(c_22467,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = X0 )
| ( sK1(s(X1),X0) = X1 )
| ( sK1(s(X0),p(s(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_1237]) ).
tcf(c_22468,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| ( sK1(p(X0),X1) = X0 )
| ( sK1(s(X0),p(sK1(p(X0),X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_892,c_1237]) ).
tcf(c_22470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(u(X1,X2)),p(X0)) = u(X1,X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_1237]) ).
tcf(c_22471,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(X0),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_1237]) ).
tcf(c_22473,plain,
! [X0: $i] :
( ( p(e) = X0 )
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),p(p(e))) = X0 ) ),
inference(superposition,[status(thm)],[c_1069,c_1237]) ).
tcf(c_22474,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(X1),p(sK1(X0,X2))) = X1 )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_1237]) ).
tcf(c_22475,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| ( sK1(p(e),X1) = X0 )
| ( sK1(s(X0),p(sK1(p(e),X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_1402,c_1237]) ).
tcf(c_22478,plain,
! [X0: $i] :
( ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_1237]) ).
tcf(c_22480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(u(X2,X1)),p(X0)) = u(X2,X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_1237]) ).
tcf(c_22481,plain,
! [X0: $i] :
( ( X0 = e )
| ( s(X0) = p(e) )
| ( sK1(s(s(X0)),p(p(e))) = s(X0) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_1237]) ).
tcf(c_22482,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = p(X0) )
| ( sK1(s(p(X0)),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = p(X0) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_1237]) ).
tcf(c_22483,plain,
! [X0: $i,X1: $i] :
( ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) = X0 )
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),p(X0)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1237]) ).
tcf(c_22484,plain,
! [X0: $i,X1: $i] :
( ( u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ( sK1(s(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) = u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1237]) ).
tcf(c_22485,plain,
! [X0: $i,X1: $i] :
( ( u(p(X0),X1) = p(e) )
| ( sK1(s(u(p(X0),X1)),p(p(e))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_18753,c_1237]) ).
tcf(c_22486,plain,
! [X0: $i] :
( ( u(e,e) = s(X0) )
| ( sK1(s(u(e,e)),p(s(X0))) = u(e,e) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_1237]) ).
tcf(c_22487,plain,
! [X0: $i,X1: $i] :
( ( u(X0,p(X1)) = p(e) )
| ( sK1(s(u(X0,p(X1))),p(p(e))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_18899,c_1237]) ).
tcf(c_22731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(X2),u(e,p(X0))) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_1363]) ).
tcf(c_22732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(X2),u(p(X0),e)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_1363]) ).
tcf(c_22733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(sK1(X2,X0)),X0) = sK1(X2,X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_1363]) ).
tcf(c_22734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(X2),p(e)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_1363]) ).
tcf(c_22735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(X2),p(X0)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_1363]) ).
tcf(c_22736,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_310,c_1363]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(e,X2)
| mem(sK1(e,X2),X1)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_873,c_1363]) ).
tcf(c_22738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(s(X2),X3)
| mem(sK1(s(X2),X3),X1)
| ( sK1(s(X2),X0) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_880,c_1363]) ).
tcf(c_22739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(p(X0),X2)
| subq(sK1(p(X0),X2),X3)
| mem(sK1(sK1(p(X0),X2),X3),X1)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_892,c_1363]) ).
tcf(c_22741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X3,X4)
| mem(sK1(X3,X4),X2)
| ~ subq(X3,X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_1363]) ).
tcf(c_22742,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),X1)
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_1363]) ).
tcf(c_22743,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),X1)
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_1363]) ).
tcf(c_22744,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(e),X2)
| mem(sK1(p(e),X2),X1)
| ( sK1(p(e),X0) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1069,c_1363]) ).
tcf(c_22745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,X3)
| subq(sK1(X0,X3),X4)
| mem(sK1(sK1(X0,X3),X4),X2)
| ~ subq(X1,X2)
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_1363]) ).
tcf(c_22746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(p(e),X2)
| subq(sK1(p(e),X2),X3)
| mem(sK1(sK1(p(e),X2),X3),X1)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1402,c_1363]) ).
tcf(c_22747,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(e),X2)
| mem(sK1(p(e),X2),X1)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_1455,c_1363]) ).
tcf(c_22748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(sK1(X0,X3),X2)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1772,c_1363]) ).
tcf(c_22749,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,X2)
| mem(sK1(X1,X2),X0)
| ( sK1(s(sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_1363]) ).
tcf(c_22750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X1,X3)
| mem(sK1(X1,X3),X2)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2694,c_1363]) ).
tcf(c_22751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X3,X4)
| mem(sK1(X3,X4),X2)
| ~ subq(X3,X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_1363]) ).
tcf(c_22752,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(p(e),X2)
| mem(sK1(p(e),X2),X1)
| ( X0 = e )
| ~ mem(e,s(X0))
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_5079,c_1363]) ).
tcf(c_22753,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2),X1)
| ~ subq(p(X0),X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_1363]) ).
tcf(c_22754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_1363]) ).
tcf(c_22755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(sK1(X2,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X2,u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_1363]) ).
tcf(c_22756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(p(e),X3)
| mem(sK1(p(e),X3),X2)
| ~ subq(u(p(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_18753,c_1363]) ).
tcf(c_22757,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(s(X0),X2)
| mem(sK1(s(X0),X2),X1)
| ~ subq(u(e,e),X1)
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_1363]) ).
tcf(c_22758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(p(e),X3)
| mem(sK1(p(e),X3),X2)
| ~ subq(u(X0,p(X1)),X2) ),
inference(superposition,[status(thm)],[c_18899,c_1363]) ).
tcf(c_23001,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(X0),u(e,p(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_1525]) ).
tcf(c_23002,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(X0),u(p(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_1525]) ).
tcf(c_23003,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_1525]) ).
tcf(c_23004,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_1525]) ).
tcf(c_23008,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = X0 )
| ( sK1(s(X1),X0) = X1 )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_1525]) ).
tcf(c_23009,plain,
! [X0: $i,X1: $i] :
( subq(p(X0),X1)
| ( sK1(p(X0),X1) = X0 )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_892,c_1525]) ).
tcf(c_23011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(u(X1,X2)),p(e)) = u(X1,X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_1525]) ).
tcf(c_23012,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_1404,c_1525]) ).
tcf(c_23014,plain,
! [X0: $i] :
( ( p(e) = X0 )
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1069,c_1525]) ).
tcf(c_23015,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_1525]) ).
tcf(c_23016,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| ( sK1(p(e),X1) = X0 )
| ( sK1(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1402,c_1525]) ).
tcf(c_23021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(u(X2,X1)),p(e)) = u(X2,X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_1525]) ).
tcf(c_23022,plain,
! [X0: $i] :
( ( X0 = e )
| ( s(X0) = p(e) )
| ( sK1(s(s(X0)),p(e)) = s(X0) )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_1525]) ).
tcf(c_23023,plain,
! [X0: $i] :
( ( sK1(s(p(X0)),p(e)) = p(X0) )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = p(X0) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_1525]) ).
tcf(c_23024,plain,
! [X0: $i,X1: $i] :
( ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) = X0 )
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),p(e)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_1525]) ).
tcf(c_23025,plain,
! [X0: $i,X1: $i] :
( ( u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ( sK1(s(u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(e)) = u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_1525]) ).
tcf(c_23026,plain,
! [X0: $i,X1: $i] :
( ( u(p(X0),X1) = p(e) )
| ( sK1(s(u(p(X0),X1)),p(e)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_18753,c_1525]) ).
tcf(c_23027,plain,
! [X0: $i] :
( ( u(e,e) = s(X0) )
| ( sK1(s(u(e,e)),p(e)) = u(e,e) )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_1525]) ).
tcf(c_23028,plain,
! [X0: $i,X1: $i] :
( ( u(X0,p(X1)) = p(e) )
| ( sK1(s(u(X0,p(X1))),p(e)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_18899,c_1525]) ).
tcf(c_23150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(u(X1,X2)),u(e,p(X0))) = u(X1,X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_1888]) ).
tcf(c_23151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(u(X1,X2)),u(p(X0),e)) = u(X1,X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_1888]) ).
tcf(c_23152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(sK1(u(X1,X2),X0)),X0) = sK1(u(X1,X2),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_1888]) ).
tcf(c_23156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( u(X0,X1) = u(X2,X3) )
| ~ subq(u(X2,X3),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_1888]) ).
tcf(c_23158,plain,
! [X0: $i,X1: $i] :
( ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = u(X0,X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_1888]) ).
tcf(c_23160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( u(X0,X1) = u(X3,X2) )
| ~ subq(u(X3,X2),X0)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_1888]) ).
tcf(c_23161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(X1,X2) )
| ( sK1(s(sK1(u(X1,X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_1888]) ).
tcf(c_23162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X1,X2) )
| ( sK1(s(sK1(u(X1,X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X2),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_1888]) ).
tcf(c_23195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(p(X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(p(X1),X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_8402,c_6134]) ).
tcf(c_23196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(u(p(X1),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(u(p(X1),X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_8402,c_6133]) ).
tcf(c_23197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ subq(X4,X0)
| ~ subq(u(u(p(X0),X1),X2),X3) ),
inference(superposition,[status(thm)],[c_8402,c_58]) ).
tcf(c_23199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(u(p(X1),X2),X3),X4))
| ~ subq(sK1(X0,u(u(u(p(X1),X2),X3),X4)),X1) ),
inference(superposition,[status(thm)],[c_8402,c_910]) ).
tcf(c_23200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(u(p(X2),X3),X4)))
| ~ subq(sK1(X0,u(X1,u(u(p(X2),X3),X4))),X2) ),
inference(superposition,[status(thm)],[c_8402,c_918]) ).
tcf(c_23219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,u(p(X1),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,u(p(X1),X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_8404,c_6134]) ).
tcf(c_23220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,u(p(X1),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,u(p(X1),X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_8404,c_6133]) ).
tcf(c_23221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ subq(X4,X1)
| ~ subq(u(X0,u(p(X1),X2)),X3) ),
inference(superposition,[status(thm)],[c_8404,c_58]) ).
tcf(c_23223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(X1,u(p(X2),X3)),X4))
| ~ subq(sK1(X0,u(u(X1,u(p(X2),X3)),X4)),X2) ),
inference(superposition,[status(thm)],[c_8404,c_910]) ).
tcf(c_23224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(X2,u(p(X3),X4))))
| ~ subq(sK1(X0,u(X1,u(X2,u(p(X3),X4)))),X3) ),
inference(superposition,[status(thm)],[c_8404,c_918]) ).
tcf(c_23243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(X1,X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(X1,X2),X3),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_8841,c_6134]) ).
tcf(c_23244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(u(X1,X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(u(X1,X3),X4)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_8841,c_6133]) ).
tcf(c_23245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ subq(s(X4),X0)
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_8841,c_58]) ).
tcf(c_23247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(u(X1,X2),X3),X4))
| ~ subq(s(sK1(X0,u(u(u(X1,X2),X3),X4))),X1) ),
inference(superposition,[status(thm)],[c_8841,c_910]) ).
tcf(c_23248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(u(X2,X3),X4)))
| ~ subq(s(sK1(X0,u(X1,u(u(X2,X3),X4)))),X2) ),
inference(superposition,[status(thm)],[c_8841,c_918]) ).
tcf(c_23310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X2,u(X1,X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X2,u(X1,X3)),X4),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_8843,c_6134]) ).
tcf(c_23311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X2,u(X3,u(X1,X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,u(X3,u(X1,X4))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_8843,c_6133]) ).
tcf(c_23312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X4,X3)
| ~ subq(s(X4),X1)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_8843,c_58]) ).
tcf(c_23314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(u(X1,u(X2,X3)),X4))
| ~ subq(s(sK1(X0,u(u(X1,u(X2,X3)),X4))),X2) ),
inference(superposition,[status(thm)],[c_8843,c_910]) ).
tcf(c_23315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X0,u(X1,u(X2,u(X3,X4))))
| ~ subq(s(sK1(X0,u(X1,u(X2,u(X3,X4))))),X3) ),
inference(superposition,[status(thm)],[c_8843,c_918]) ).
tcf(c_23338,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ),
inference(superposition,[status(thm)],[c_22736,c_52]) ).
tcf(c_23339,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22736,c_56]) ).
tcf(c_23340,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22736,c_6134]) ).
tcf(c_23341,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22736,c_6133]) ).
tcf(c_23342,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22736,c_58]) ).
tcf(c_23343,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ),
inference(superposition,[status(thm)],[c_22736,c_62]) ).
tcf(c_23344,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_22736,c_66]) ).
tcf(c_23345,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22736,c_910]) ).
tcf(c_23346,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,X0))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_22736,c_918]) ).
tcf(c_23379,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_1525]) ).
tcf(c_23381,plain,
! [X0: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ( sK1(s(X0),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_1237]) ).
tcf(c_23382,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_9726]) ).
tcf(c_23383,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_8403]) ).
tcf(c_23386,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_6131]) ).
tcf(c_23391,plain,
! [X0: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ~ subq(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_23339,c_59]) ).
tcf(c_23392,plain,
~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_23339,c_318]) ).
tcf(c_23393,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_3894]) ).
tcf(c_23405,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_23339,c_1046]) ).
tcf(c_23407,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_23339,c_5123]) ).
tcf(c_23408,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(superposition,[status(thm)],[c_23339,c_2496]) ).
tcf(c_23487,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_15856,c_23392]) ).
tcf(c_23488,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_15135,c_23392]) ).
tcf(c_23489,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_1103,c_23392]) ).
tcf(c_23491,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_1106,c_23392]) ).
tcf(c_23497,plain,
! [X0: $i,X1: $i] :
( ( sK1(s(u(X0,X1)),p(e)) = u(X0,X1) )
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X0,X1) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_1525]) ).
tcf(c_23498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X2)
| ~ subq(u(X0,X1),X2)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_1363]) ).
tcf(c_23499,plain,
! [X0: $i,X1: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X0,X1) )
| ( sK1(s(u(X0,X1)),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = u(X0,X1) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_1237]) ).
tcf(c_23500,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(u(X0,X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(X0,X2))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_9726]) ).
tcf(c_23501,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X0,X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X0,X1)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_8403]) ).
tcf(c_23504,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X0,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X0,X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_6131]) ).
tcf(c_23509,plain,
! [X0: $i,X1: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X0,X1) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ~ subq(u(X0,X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_23345,c_59]) ).
tcf(c_23510,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,u(X0,X2)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_3894]) ).
tcf(c_23595,plain,
! [X0: $i,X1: $i] :
( ( sK1(s(u(X1,X0)),p(e)) = u(X1,X0) )
| ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X1,X0) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_1525]) ).
tcf(c_23596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X2)
| ~ subq(u(X1,X0),X2)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_1363]) ).
tcf(c_23597,plain,
! [X0: $i,X1: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X1,X0) )
| ( sK1(s(u(X1,X0)),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = u(X1,X0) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_1237]) ).
tcf(c_23598,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(u(X2,X0))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(u(X2,X0))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_9726]) ).
tcf(c_23599,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(u(X1,X0)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(u(X1,X0)),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_8403]) ).
tcf(c_23602,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(u(X1,X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(u(X1,X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_6131]) ).
tcf(c_23607,plain,
! [X0: $i,X1: $i] :
( ( sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X0,X1) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ~ subq(u(X0,X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_23346,c_59]) ).
tcf(c_23608,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,u(X2,X0)))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_3894]) ).
tcf(c_23665,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(s(X0),p(e)) = X0 )
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_1525]) ).
tcf(c_23666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X3)
| mem(sK1(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X3),X1)
| ~ subq(X0,X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_1363]) ).
tcf(c_23667,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(X0),p(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_1237]) ).
tcf(c_23668,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,p(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,p(X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_9726]) ).
tcf(c_23669,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_8403]) ).
tcf(c_23670,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_16879]) ).
tcf(c_23671,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_16056]) ).
tcf(c_23672,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_6131]) ).
tcf(c_23673,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))),sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_5265]) ).
tcf(c_23674,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(p(e),sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_4711]) ).
tcf(c_23675,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X0)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| ( sK1(s(X1),sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_1104]) ).
tcf(c_23676,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_1246]) ).
tcf(c_23677,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))
| ~ subq(X0,sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)) ),
inference(superposition,[status(thm)],[c_23344,c_59]) ).
tcf(c_23678,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_902]) ).
tcf(c_23679,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_23344,c_1360]) ).
tcf(c_23680,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) = e )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ),
inference(superposition,[status(thm)],[c_23344,c_1043]) ).
tcf(c_23682,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)
| ( sK1(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ),
inference(superposition,[status(thm)],[c_23344,c_1361]) ).
tcf(c_23683,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),p(X1))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_23344,c_5123]) ).
tcf(c_23685,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_1777]) ).
tcf(c_23686,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X1,p(X0)))
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_2699]) ).
tcf(c_23834,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(s(X0)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_23338]) ).
tcf(c_23835,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_23338]) ).
tcf(c_23836,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),s(X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_1103,c_23338]) ).
tcf(c_23838,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(s(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_23338]) ).
tcf(c_23886,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_23342]) ).
tcf(c_23887,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_23342]) ).
tcf(c_23888,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_23342]) ).
tcf(c_23890,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1106,c_23342]) ).
tcf(c_23893,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_1772,c_23342]) ).
tcf(c_23894,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_23342]) ).
tcf(c_23895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_2694,c_23342]) ).
tcf(c_23897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_23342]) ).
tcf(c_23898,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_23342]) ).
tcf(c_24012,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ mem(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_6397,c_56]) ).
tcf(c_24013,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))))
| ( u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_6397,c_57]) ).
tcf(c_24014,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X2)
| subq(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),p(X2)) ),
inference(superposition,[status(thm)],[c_6397,c_1365]) ).
tcf(c_24015,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X2)
| subq(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),X2) ),
inference(superposition,[status(thm)],[c_6397,c_932]) ).
tcf(c_24036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(u(X2,X1)),u(e,p(X0))) = u(X2,X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15856,c_3888]) ).
tcf(c_24037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(u(X2,X1)),u(p(X0),e)) = u(X2,X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15135,c_3888]) ).
tcf(c_24038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(sK1(u(X2,X1),X0)),X0) = sK1(u(X2,X1),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1103,c_3888]) ).
tcf(c_24042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( u(X0,X1) = u(X2,X3) )
| ~ subq(u(X2,X3),X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1778,c_3888]) ).
tcf(c_24044,plain,
! [X0: $i,X1: $i] :
( ( u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) = u(X1,X0) )
| ( sK1(s(sK1(u(X1,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_5907,c_3888]) ).
tcf(c_24046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( u(X0,X1) = u(X3,X2) )
| ~ subq(u(X3,X2),X1)
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2700,c_3888]) ).
tcf(c_24047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) = u(X2,X1) )
| ( sK1(s(sK1(u(X2,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ~ subq(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ),
inference(superposition,[status(thm)],[c_5910,c_3888]) ).
tcf(c_24048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = u(X2,X1) )
| ( sK1(s(sK1(u(X2,X1),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X2,X1),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ subq(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ),
inference(superposition,[status(thm)],[c_5911,c_3888]) ).
tcf(c_24079,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| ( X0 = X2 )
| ( sK1(s(X2),p(e)) = X2 )
| ( sK1(s(X0),u(X1,p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_1525]) ).
tcf(c_24080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X2,X4)
| mem(X2,X3)
| mem(sK1(X2,X4),X1)
| ( sK1(s(X2),u(X3,p(X0))) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_1363]) ).
tcf(c_24081,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| ( X0 = X2 )
| ( sK1(s(X2),p(X0)) = X2 )
| ( sK1(s(X0),u(X1,p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_1237]) ).
tcf(c_24082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X3,p(X1))) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_9726]) ).
tcf(c_24083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X3,p(X0))) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_8403]) ).
tcf(c_24084,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(X0),u(X1,p(X2))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_16879]) ).
tcf(c_24085,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(X0),u(X1,p(X2))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_16056]) ).
tcf(c_24086,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),u(X2,p(X0))) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_6131]) ).
tcf(c_24087,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(X0),u(X1,p(X2))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_5265]) ).
tcf(c_24088,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(X0,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),u(X1,p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_4711]) ).
tcf(c_24089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| mem(X0,X1)
| ( sK1(s(X3),X0) = X3 )
| ( sK1(s(X0),u(X1,p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_1104]) ).
tcf(c_24090,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(X0),u(X1,p(X2))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_1246]) ).
tcf(c_24091,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( X0 = X1 )
| ( sK1(s(X1),u(X2,p(X0))) = X1 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_59]) ).
tcf(c_24094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(s(X2),X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(X3,p(X1))) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_14033]) ).
tcf(c_24095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(s(X2),X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(X3,p(X0))) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_8842]) ).
tcf(c_24096,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(s(X0),X1)
| ( sK1(s(s(X0)),u(X1,p(X2))) = s(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_931]) ).
tcf(c_24098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(p(X0),X1)
| mem(e,u(u(X3,X2),X4))
| ( sK1(s(p(X0)),u(X1,p(X2))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_4752]) ).
tcf(c_24099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(p(X0),X1)
| mem(e,u(u(X2,X3),X4))
| ( sK1(s(p(X0)),u(X1,p(X2))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_4747]) ).
tcf(c_24100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(p(X0),X1)
| mem(e,u(X3,X2))
| ( sK1(s(p(X0)),u(X1,p(X2))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_3890]) ).
tcf(c_24101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(p(X0),X1)
| mem(e,u(X2,X3))
| ( sK1(s(p(X0)),u(X1,p(X2))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_2299]) ).
tcf(c_24102,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(p(X0),X1)
| ( sK1(s(p(X0)),u(X1,p(X2))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_2278]) ).
tcf(c_24103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| mem(p(X1),X2)
| ( sK1(s(p(X1)),u(X2,p(X3))) = p(X1) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_14910,c_1514]) ).
tcf(c_24104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| mem(p(X1),X2)
| ( sK1(s(p(X1)),u(X2,p(X3))) = p(X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_935]) ).
tcf(c_24105,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,p(X1))
| mem(sK1(X0,p(X1)),X2)
| ( sK1(s(sK1(X0,p(X1))),u(X2,p(X1))) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_902]) ).
tcf(c_24106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X2,X1),X3)
| ( u(X2,X1) = X0 )
| ( sK1(s(u(X2,X1)),u(X3,p(X0))) = u(X2,X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_3888]) ).
tcf(c_24107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X1,X2),X3)
| ( u(X1,X2) = X0 )
| ( sK1(s(u(X1,X2)),u(X3,p(X0))) = u(X1,X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_1888]) ).
tcf(c_24108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(X2,X1),X3)
| ( sK1(s(u(X2,X1)),u(X3,p(X4))) = u(X2,X1) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_14910,c_10553]) ).
tcf(c_24109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| mem(u(X0,X1),X2)
| ( sK1(s(u(X0,X1)),u(X2,p(X3))) = u(X0,X1) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_14910,c_4192]) ).
tcf(c_24110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(X1,X2),X3)
| ( sK1(s(u(X1,X2)),u(X3,p(X4))) = u(X1,X2) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_14910,c_4136]) ).
tcf(c_24111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(X2,X1),X3)
| ( sK1(s(u(X2,X1)),u(X3,p(X4))) = u(X2,X1) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_934]) ).
tcf(c_24112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(X1,X2),X3)
| ( sK1(s(u(X1,X2)),u(X3,p(X4))) = u(X1,X2) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_933]) ).
tcf(c_24113,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X2,X1))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3894]) ).
tcf(c_24114,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X2))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3000]) ).
tcf(c_24115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,p(X1))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14910,c_3896]) ).
tcf(c_24116,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(X1))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2495]) ).
tcf(c_24117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14910,c_1893]) ).
tcf(c_24118,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_962]) ).
tcf(c_24119,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(e))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_960]) ).
tcf(c_24120,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(s(X1)))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_961]) ).
tcf(c_24121,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(p(X1)))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_963]) ).
tcf(c_24122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X2,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_23342]) ).
tcf(c_24123,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_9233]) ).
tcf(c_24124,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_9229]) ).
tcf(c_24125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,X1))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_6022]) ).
tcf(c_24126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X1,X3))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_6019]) ).
tcf(c_24127,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_9172]) ).
tcf(c_24128,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_5908]) ).
tcf(c_24129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X2,X1),X3))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3897]) ).
tcf(c_24130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X2),X3))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3024]) ).
tcf(c_24131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X4,p(X2))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_14910,c_4223]) ).
tcf(c_24132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X4,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_14910,c_4220]) ).
tcf(c_24133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X4,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_14910,c_3899]) ).
tcf(c_24134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X3,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14910,c_3900]) ).
tcf(c_24135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X4,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_14910,c_1999]) ).
tcf(c_24136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X3,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14910,c_1894]) ).
tcf(c_24137,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X2,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_998]) ).
tcf(c_24139,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(s(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_23338]) ).
tcf(c_24140,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(s(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_997]) ).
tcf(c_24141,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_9040]) ).
tcf(c_24142,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(X2),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_5681]) ).
tcf(c_24143,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(X1),p(e)) = X1 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_1543]) ).
tcf(c_24144,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2493]) ).
tcf(c_24145,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2488]) ).
tcf(c_24146,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_1071]) ).
tcf(c_24147,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(u(X1,X2)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_1022]) ).
tcf(c_24148,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(u(X1,X2)))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_1023]) ).
tcf(c_24149,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(X1,p(e))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_1360]) ).
tcf(c_24150,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( X0 = e )
| ( sK1(s(X0),u(X1,p(e))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_1043]) ).
tcf(c_24151,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(X0),u(X1,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_14910,c_1046]) ).
tcf(c_24152,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(p(e),X2)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(p(e)),u(X2,p(X0))) = p(e) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_8912]) ).
tcf(c_24153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(X0,X1)
| ( sK1(X0,X3) = X2 )
| ( sK1(s(X0),u(X1,p(s(X2)))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_1361]) ).
tcf(c_24154,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(X0,p(X2))
| ( sK1(s(X0),u(X1,p(p(e)))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_5123]) ).
tcf(c_24155,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0)
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,p(X1))) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_14910,c_9210]) ).
tcf(c_24156,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,p(X2))) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_5962]) ).
tcf(c_24157,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) = X1 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(s(X1))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_8225]) ).
tcf(c_24158,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_23392]) ).
tcf(c_24159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,X3))
| mem(u(s(X0),X1),X2)
| ( sK1(s(u(s(X0),X1)),u(X2,p(X3))) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_3903]) ).
tcf(c_24160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X3,X4))
| mem(u(s(X0),X1),X2)
| ( sK1(s(u(s(X0),X1)),u(X2,p(X3))) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_2228]) ).
tcf(c_24161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| mem(u(s(X0),X1),X2)
| ( sK1(s(u(s(X0),X1)),u(X2,p(X3))) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_1878]) ).
tcf(c_24162,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(sK1(p(e),X1))))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_1458]) ).
tcf(c_24163,plain,
! [X0: $i,X1: $i] :
( mem(p(X0),X1)
| ( p(X0) = p(e) )
| ( sK1(s(p(X0)),u(X1,p(p(e)))) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_1495]) ).
tcf(c_24164,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,p(X1))
| mem(sK1(X0,p(X1)),X2)
| ( sK1(s(sK1(X0,p(X1))),u(X2,p(e))) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_1513]) ).
tcf(c_24165,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)
| ( sK1(s(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(X1,p(X2))) = u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_1811]) ).
tcf(c_24166,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X1,p(X2))) = u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2747]) ).
tcf(c_24167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(p(X1),X2))
| mem(sK1(X0,u(p(X1),X2)),X3)
| ( sK1(s(sK1(X0,u(p(X1),X2))),u(X3,p(X1))) = sK1(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_14910,c_1777]) ).
tcf(c_24168,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| ( u(X0,X1) = X0 )
| ( sK1(s(u(X0,X1)),u(X2,p(X0))) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_1807]) ).
tcf(c_24169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,X2))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X1,p(X2))) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_3908]) ).
tcf(c_24170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X3))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X1,p(X2))) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_1954]) ).
tcf(c_24171,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X1,p(X2))) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14910,c_1812]) ).
tcf(c_24172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| mem(u(p(X0),X1),X2)
| ( sK1(s(u(p(X0),X1)),u(X2,p(X3))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_3909]) ).
tcf(c_24173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| mem(u(p(X0),X1),X2)
| ( sK1(s(u(p(X0),X1)),u(X2,p(X3))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_3124]) ).
tcf(c_24174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(p(X1),X2),X3)
| ( sK1(s(u(p(X1),X2)),u(X3,p(X4))) = u(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_4111]) ).
tcf(c_24175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(p(X1),X2),X3)
| ( sK1(s(u(p(X1),X2)),u(X3,p(X4))) = u(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_14910,c_1937]) ).
tcf(c_24176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| mem(u(p(X0),X1),X2)
| ( sK1(s(u(p(X0),X1)),u(X2,p(X3))) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_2868]) ).
tcf(c_24177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X5)
| mem(u(u(X2,X1),X3),X4)
| ( sK1(s(u(u(X2,X1),X3)),u(X4,p(X5))) = u(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_12125]) ).
tcf(c_24178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X5)
| mem(u(u(X1,X2),X3),X4)
| ( sK1(s(u(u(X1,X2),X3)),u(X4,p(X5))) = u(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_12057]) ).
tcf(c_24179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| mem(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2)
| ( sK1(s(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(X2,p(X3))) = u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_2000]) ).
tcf(c_24180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(u(s(X0),X1),X2),X3)
| ( sK1(s(u(u(s(X0),X1),X2)),u(X3,p(X4))) = u(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_14910,c_2287]) ).
tcf(c_24182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,X2))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,p(X2))) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3913]) ).
tcf(c_24183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X3))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,p(X2))) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2931]) ).
tcf(c_24184,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,p(X2))) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2750]) ).
tcf(c_24185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,p(X2)))
| mem(sK1(X0,u(X1,p(X2))),X3)
| ( sK1(s(sK1(X0,u(X1,p(X2)))),u(X3,p(X2))) = sK1(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2699]) ).
tcf(c_24186,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| ( u(X0,X1) = X1 )
| ( sK1(s(u(X0,X1)),u(X2,p(X1))) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_2741]) ).
tcf(c_24187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| mem(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)
| ( sK1(s(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(X2,p(X3))) = u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_2749]) ).
tcf(c_24188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,X3))
| mem(u(X0,s(X1)),X2)
| ( sK1(s(u(X0,s(X1))),u(X2,p(X3))) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_3916]) ).
tcf(c_24189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X3,X4))
| mem(u(X0,s(X1)),X2)
| ( sK1(s(u(X0,s(X1))),u(X2,p(X3))) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_3140]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| mem(u(X0,s(X1)),X2)
| ( sK1(s(u(X0,s(X1))),u(X2,p(X3))) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_2872]) ).
tcf(c_24191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X3))
| mem(u(X0,p(X1)),X2)
| ( sK1(s(u(X0,p(X1))),u(X2,p(X3))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_3917]) ).
tcf(c_24192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X3,X4))
| mem(u(X0,p(X1)),X2)
| ( sK1(s(u(X0,p(X1))),u(X2,p(X3))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_3160]) ).
tcf(c_24193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(X2,p(X1)),X3)
| ( sK1(s(u(X2,p(X1))),u(X3,p(X4))) = u(X2,p(X1)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_5862]) ).
tcf(c_24194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| mem(u(X1,p(X2)),X3)
| ( sK1(s(u(X1,p(X2))),u(X3,p(X4))) = u(X1,p(X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_14910,c_4798]) ).
tcf(c_24195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| mem(u(X0,p(X1)),X2)
| ( sK1(s(u(X0,p(X1))),u(X2,p(X3))) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14910,c_2877]) ).
tcf(c_24196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| mem(u(X0,u(s(X1),X2)),X3)
| ( sK1(s(u(X0,u(s(X1),X2))),u(X3,p(X4))) = u(X0,u(s(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_14910,c_3187]) ).
tcf(c_24197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| mem(u(u(p(X0),X1),X2),X3)
| ( sK1(s(u(u(p(X0),X1),X2)),u(X3,p(X4))) = u(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_14910,c_3197]) ).
tcf(c_24198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| mem(u(X0,u(p(X1),X2)),X3)
| ( sK1(s(u(X0,u(p(X1),X2))),u(X3,p(X4))) = u(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_14910,c_3222]) ).
tcf(c_24199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| mem(u(u(X0,s(X1)),X2),X3)
| ( sK1(s(u(u(X0,s(X1)),X2)),u(X3,p(X4))) = u(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_14910,c_3587]) ).
tcf(c_24200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| mem(u(X0,u(X1,s(X2))),X3)
| ( sK1(s(u(X0,u(X1,s(X2)))),u(X3,p(X4))) = u(X0,u(X1,s(X2))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3604]) ).
tcf(c_24201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| mem(u(u(X0,p(X1)),X2),X3)
| ( sK1(s(u(u(X0,p(X1)),X2)),u(X3,p(X4))) = u(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_14910,c_3609]) ).
tcf(c_24202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| mem(u(X0,u(X1,p(X2))),X3)
| ( sK1(s(u(X0,u(X1,p(X2)))),u(X3,p(X4))) = u(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_14910,c_3614]) ).
tcf(c_24203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(s(sK1(X0,u(X1,X2))),X3)
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(X3,p(X1))) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_14910,c_4135]) ).
tcf(c_24204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X5)
| mem(u(X2,u(X3,X1)),X4)
| ( sK1(s(u(X2,u(X3,X1))),u(X4,p(X5))) = u(X2,u(X3,X1)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_12141]) ).
tcf(c_24205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X5)
| mem(u(X2,u(X1,X3)),X4)
| ( sK1(s(u(X2,u(X1,X3))),u(X4,p(X5))) = u(X2,u(X1,X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_12074]) ).
tcf(c_24206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X5)
| mem(u(u(u(s(X0),X1),X2),X3),X4)
| ( sK1(s(u(u(u(s(X0),X1),X2),X3)),u(X4,p(X5))) = u(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_4788]) ).
tcf(c_24207,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| mem(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X0,p(p(X1)))) = s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_5105]) ).
tcf(c_24208,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(X0,p(p(X1)))) = s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_5106]) ).
tcf(c_24209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,X5)
| mem(u(X0,u(u(s(X1),X2),X3)),X4)
| ( sK1(s(u(X0,u(u(s(X1),X2),X3))),u(X4,p(X5))) = u(X0,u(u(s(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_14910,c_5893]) ).
tcf(c_24210,plain,
! [X0: $i,X1: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(X0,p(p(X1)))) = s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_5930]) ).
tcf(c_24211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,X5)
| mem(u(u(X0,u(s(X1),X2)),X3),X4)
| ( sK1(s(u(u(X0,u(s(X1),X2)),X3)),u(X4,p(X5))) = u(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_8480]) ).
tcf(c_24212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,X5)
| mem(u(X0,u(X1,u(s(X2),X3))),X4)
| ( sK1(s(u(X0,u(X1,u(s(X2),X3)))),u(X4,p(X5))) = u(X0,u(X1,u(s(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_14910,c_8494]) ).
tcf(c_24213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(u(u(p(X0),X1),X2),X3),X4)
| ( sK1(s(u(u(u(p(X0),X1),X2),X3)),u(X4,p(X5))) = u(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_9156]) ).
tcf(c_24214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(X0,u(u(p(X1),X2),X3)),X4)
| ( sK1(s(u(X0,u(u(p(X1),X2),X3))),u(X4,p(X5))) = u(X0,u(u(p(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_14910,c_9160]) ).
tcf(c_24215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(u(X0,u(p(X1),X2)),X3),X4)
| ( sK1(s(u(u(X0,u(p(X1),X2)),X3)),u(X4,p(X5))) = u(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_9164]) ).
tcf(c_24216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(X0,u(X1,u(p(X2),X3))),X4)
| ( sK1(s(u(X0,u(X1,u(p(X2),X3)))),u(X4,p(X5))) = u(X0,u(X1,u(p(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_14910,c_9778]) ).
tcf(c_24217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,X5)
| mem(u(u(u(X0,s(X1)),X2),X3),X4)
| ( sK1(s(u(u(u(X0,s(X1)),X2),X3)),u(X4,p(X5))) = u(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_9782]) ).
tcf(c_24218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,X5)
| mem(u(X0,u(u(X1,s(X2)),X3)),X4)
| ( sK1(s(u(X0,u(u(X1,s(X2)),X3))),u(X4,p(X5))) = u(X0,u(u(X1,s(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_14910,c_9787]) ).
tcf(c_24219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,X5)
| mem(u(u(X0,u(X1,s(X2))),X3),X4)
| ( sK1(s(u(u(X0,u(X1,s(X2))),X3)),u(X4,p(X5))) = u(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_9792]) ).
tcf(c_24220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X3,X5)
| mem(u(X0,u(X1,u(X2,s(X3)))),X4)
| ( sK1(s(u(X0,u(X1,u(X2,s(X3))))),u(X4,p(X5))) = u(X0,u(X1,u(X2,s(X3)))) ) ),
inference(superposition,[status(thm)],[c_14910,c_10533]) ).
tcf(c_24221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(u(u(X0,p(X1)),X2),X3),X4)
| ( sK1(s(u(u(u(X0,p(X1)),X2),X3)),u(X4,p(X5))) = u(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_10538]) ).
tcf(c_24222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(X0,u(u(X1,p(X2)),X3)),X4)
| ( sK1(s(u(X0,u(u(X1,p(X2)),X3))),u(X4,p(X5))) = u(X0,u(u(X1,p(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_14910,c_10543]) ).
tcf(c_24223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(s(sK1(X0,u(X1,X2))),X3)
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(X3,p(X2))) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_14910,c_10552]) ).
tcf(c_24224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(u(X0,u(X1,p(X2))),X3),X4)
| ( sK1(s(u(u(X0,u(X1,p(X2))),X3)),u(X4,p(X5))) = u(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_14910,c_11348]) ).
tcf(c_24225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X5)
| mem(u(X0,u(X1,u(X2,p(X3)))),X4)
| ( sK1(s(u(X0,u(X1,u(X2,p(X3))))),u(X4,p(X5))) = u(X0,u(X1,u(X2,p(X3)))) ) ),
inference(superposition,[status(thm)],[c_14910,c_11353]) ).
tcf(c_24227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( X0 = X1 )
| ( sK1(s(X0),u(s(X1),p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_52]) ).
tcf(c_24228,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK1(X0,X1),X2)
| ( sK1(s(sK1(X0,X1)),u(X1,p(X2))) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14910,c_56]) ).
tcf(c_24229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X0,p(X3))) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_6134]) ).
tcf(c_24230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(X1,p(X3))) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_6133]) ).
tcf(c_24231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(X2,X1)
| ( sK1(s(X2),u(X0,p(X3))) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14910,c_58]) ).
tcf(c_24232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(u(X1,X2),p(X3))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_62]) ).
tcf(c_24233,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| subq(X0,X1)
| ( sK1(s(X0),u(p(X1),p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_66]) ).
tcf(c_24235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| subq(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(X1,p(X3))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14910,c_910]) ).
tcf(c_24236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| subq(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(X2,p(X3))) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14910,c_918]) ).
tcf(c_24238,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2023]) ).
tcf(c_24239,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_8567]) ).
tcf(c_24240,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(e),p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_10101]) ).
tcf(c_24241,plain,
! [X0: $i] :
( subq(s(e),X0)
| ( sK1(s(s(e)),u(p(e),p(X0))) = s(e) ) ),
inference(superposition,[status(thm)],[c_14910,c_20587]) ).
tcf(c_24242,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_2486]) ).
tcf(c_25273,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(X0),u(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_1525]) ).
tcf(c_25274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(X2,X4)
| mem(X2,X3)
| mem(sK1(X2,X4),X1)
| ( sK1(s(X2),u(p(X0),X3)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_1363]) ).
tcf(c_25275,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(X0),u(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_1237]) ).
tcf(c_25276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(p(X1),X3)) = X2 )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_9726]) ).
tcf(c_25277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(p(X0),X3)) = X2 )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_8403]) ).
tcf(c_25278,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),X2)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_16879]) ).
tcf(c_25279,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),X2)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_16056]) ).
tcf(c_25280,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),u(p(X0),X2)) = X1 )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_6131]) ).
tcf(c_25281,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),X2)) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_5265]) ).
tcf(c_25282,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| mem(X0,X2)
| ( sK1(p(e),X0) = e )
| ( sK1(s(X0),u(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_4711]) ).
tcf(c_25283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X1)
| mem(X0,X2)
| ( sK1(s(X3),X0) = X3 )
| ( sK1(s(X0),u(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_1104]) ).
tcf(c_25284,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(X0),u(p(X1),X2)) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_1246]) ).
tcf(c_25285,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( X0 = X1 )
| ( sK1(s(X1),u(p(X0),X2)) = X1 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_59]) ).
tcf(c_25288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(s(X2),X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(p(X1),X3)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_14033]) ).
tcf(c_25289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(s(X2),X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(s(X2)),u(p(X0),X3)) = s(X2) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_8842]) ).
tcf(c_25290,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| mem(s(X0),X2)
| ( sK1(s(s(X0)),u(p(X1),X2)) = s(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_931]) ).
tcf(c_25292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(p(X0),X2)
| mem(e,u(u(X3,X1),X4))
| ( sK1(s(p(X0)),u(p(X1),X2)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_4752]) ).
tcf(c_25293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(p(X0),X2)
| mem(e,u(u(X1,X3),X4))
| ( sK1(s(p(X0)),u(p(X1),X2)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_4747]) ).
tcf(c_25294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(p(X0),X2)
| mem(e,u(X3,X1))
| ( sK1(s(p(X0)),u(p(X1),X2)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_3890]) ).
tcf(c_25295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(p(X0),X2)
| mem(e,u(X1,X3))
| ( sK1(s(p(X0)),u(p(X1),X2)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_2299]) ).
tcf(c_25296,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X1)
| mem(p(X0),X2)
| ( sK1(s(p(X0)),u(p(X1),X2)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_2278]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X2)
| mem(p(X1),X3)
| ( sK1(s(p(X1)),u(p(X2),X3)) = p(X1) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_14925,c_1514]) ).
tcf(c_25298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X2)
| mem(p(X1),X3)
| ( sK1(s(p(X1)),u(p(X2),X3)) = p(X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_935]) ).
tcf(c_25299,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,p(X1))
| mem(sK1(X0,p(X1)),X2)
| ( sK1(s(sK1(X0,p(X1))),u(p(X1),X2)) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_902]) ).
tcf(c_25300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X2,X1),X3)
| ( u(X2,X1) = X0 )
| ( sK1(s(u(X2,X1)),u(p(X0),X3)) = u(X2,X1) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_3888]) ).
tcf(c_25301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X1,X2),X3)
| ( u(X1,X2) = X0 )
| ( sK1(s(u(X1,X2)),u(p(X0),X3)) = u(X1,X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_1888]) ).
tcf(c_25302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(X2,X1),X4)
| ( sK1(s(u(X2,X1)),u(p(X3),X4)) = u(X2,X1) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_14925,c_10553]) ).
tcf(c_25303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| mem(u(X0,X1),X3)
| ( sK1(s(u(X0,X1)),u(p(X2),X3)) = u(X0,X1) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_14925,c_4192]) ).
tcf(c_25304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(X1,X2),X4)
| ( sK1(s(u(X1,X2)),u(p(X3),X4)) = u(X1,X2) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_14925,c_4136]) ).
tcf(c_25305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(X2,X1),X4)
| ( sK1(s(u(X2,X1)),u(p(X3),X4)) = u(X2,X1) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_934]) ).
tcf(c_25306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(X1,X2),X4)
| ( sK1(s(u(X1,X2)),u(p(X3),X4)) = u(X1,X2) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_933]) ).
tcf(c_25307,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X2,X0))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3894]) ).
tcf(c_25308,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X2))
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3000]) ).
tcf(c_25309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),X3)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14925,c_3896]) ).
tcf(c_25310,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X1)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2495]) ).
tcf(c_25311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X3)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14925,c_1893]) ).
tcf(c_25312,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),X2)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_962]) ).
tcf(c_25313,plain,
! [X0: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(e),X0)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_960]) ).
tcf(c_25314,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(s(X0)),X1)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_961]) ).
tcf(c_25315,plain,
! [X0: $i,X1: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(X0)),X1)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_963]) ).
tcf(c_25316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_23342]) ).
tcf(c_25317,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X0))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_9233]) ).
tcf(c_25318,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X0,X2))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_9229]) ).
tcf(c_25319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,X0))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_6022]) ).
tcf(c_25320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X0,X3))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_6019]) ).
tcf(c_25321,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_9172]) ).
tcf(c_25322,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X0)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(X2),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_5908]) ).
tcf(c_25323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X2,X0),X3))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3897]) ).
tcf(c_25324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X2),X3))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3024]) ).
tcf(c_25325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X2),X4)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_14925,c_4223]) ).
tcf(c_25326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),X4)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_14925,c_4220]) ).
tcf(c_25327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),X4)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_14925,c_3899]) ).
tcf(c_25328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),X3)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14925,c_3900]) ).
tcf(c_25329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X4)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X4)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_14925,c_1999]) ).
tcf(c_25330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X3)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X3)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_14925,c_1894]) ).
tcf(c_25331,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_998]) ).
tcf(c_25333,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_23338]) ).
tcf(c_25334,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(s(X0)),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_997]) ).
tcf(c_25335,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_9040]) ).
tcf(c_25336,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X0)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(X2),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X2 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_5681]) ).
tcf(c_25337,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_1543]) ).
tcf(c_25338,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(X0)),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2493]) ).
tcf(c_25339,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X1)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2488]) ).
tcf(c_25340,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_1071]) ).
tcf(c_25341,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_1022]) ).
tcf(c_25342,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(u(X0,X1)),X2)) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_1023]) ).
tcf(c_25343,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| mem(X0,X1)
| ( sK1(s(X0),u(p(e),X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_1360]) ).
tcf(c_25344,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( X0 = e )
| ( sK1(s(X0),u(p(e),X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_1043]) ).
tcf(c_25345,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(X0),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X1)) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_14925,c_1046]) ).
tcf(c_25346,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(p(e),X2)
| mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(p(e)),u(p(X0),X2)) = p(e) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_8912]) ).
tcf(c_25347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(X0,X2)
| ( sK1(X0,X3) = X1 )
| ( sK1(s(X0),u(p(s(X1)),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_1361]) ).
tcf(c_25348,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(X0,p(X2))
| ( sK1(s(X0),u(p(p(e)),X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_5123]) ).
tcf(c_25349,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(X0),X1)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_14925,c_9210]) ).
tcf(c_25350,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X2)
| ( sK1(s(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(X1),X2)) = s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_5962]) ).
tcf(c_25351,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2) = X0 )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(s(X0))),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_8225]) ).
tcf(c_25352,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_23392]) ).
tcf(c_25353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X4,X2))
| mem(u(s(X0),X1),X3)
| ( sK1(s(u(s(X0),X1)),u(p(X2),X3)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_3903]) ).
tcf(c_25354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,u(X2,X4))
| mem(u(s(X0),X1),X3)
| ( sK1(s(u(s(X0),X1)),u(p(X2),X3)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_2228]) ).
tcf(c_25355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X2)
| mem(u(s(X0),X1),X3)
| ( sK1(s(u(s(X0),X1)),u(p(X2),X3)) = u(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_1878]) ).
tcf(c_25356,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(sK1(p(e),X0))),X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_1458]) ).
tcf(c_25357,plain,
! [X0: $i,X1: $i] :
( mem(p(X0),X1)
| ( p(X0) = p(e) )
| ( sK1(s(p(X0)),u(p(p(e)),X1)) = p(X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_1495]) ).
tcf(c_25358,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,p(X1))
| mem(sK1(X0,p(X1)),X2)
| ( sK1(s(sK1(X0,p(X1))),u(p(e),X2)) = sK1(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_1513]) ).
tcf(c_25359,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X2)
| ( sK1(s(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(p(X1),X2)) = u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_1811]) ).
tcf(c_25360,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(p(X1),X2)) = u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2747]) ).
tcf(c_25361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(p(X1),X2))
| mem(sK1(X0,u(p(X1),X2)),X3)
| ( sK1(s(sK1(X0,u(p(X1),X2))),u(p(X1),X3)) = sK1(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_14925,c_1777]) ).
tcf(c_25362,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| ( u(X0,X1) = X0 )
| ( sK1(s(u(X0,X1)),u(p(X0),X2)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_1807]) ).
tcf(c_25363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,X1))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(p(X1),X2)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_3908]) ).
tcf(c_25364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X3))
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(p(X1),X2)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_1954]) ).
tcf(c_25365,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X2)
| ( sK1(s(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(p(X1),X2)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_14925,c_1812]) ).
tcf(c_25366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X2))
| mem(u(p(X0),X1),X3)
| ( sK1(s(u(p(X0),X1)),u(p(X2),X3)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_3909]) ).
tcf(c_25367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X2,X4))
| mem(u(p(X0),X1),X3)
| ( sK1(s(u(p(X0),X1)),u(p(X2),X3)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_3124]) ).
tcf(c_25368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(p(X1),X2),X4)
| ( sK1(s(u(p(X1),X2)),u(p(X3),X4)) = u(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_4111]) ).
tcf(c_25369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(p(X1),X2),X4)
| ( sK1(s(u(p(X1),X2)),u(p(X3),X4)) = u(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_14925,c_1937]) ).
tcf(c_25370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| mem(u(p(X0),X1),X3)
| ( sK1(s(u(p(X0),X1)),u(p(X2),X3)) = u(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_2868]) ).
tcf(c_25371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X4)
| mem(u(u(X2,X1),X3),X5)
| ( sK1(s(u(u(X2,X1),X3)),u(p(X4),X5)) = u(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_12125]) ).
tcf(c_25372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X4)
| mem(u(u(X1,X2),X3),X5)
| ( sK1(s(u(u(X1,X2),X3)),u(p(X4),X5)) = u(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_12057]) ).
tcf(c_25373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X3)
| ( sK1(s(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(p(X2),X3)) = u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_2000]) ).
tcf(c_25374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(u(s(X0),X1),X2),X4)
| ( sK1(s(u(u(s(X0),X1),X2)),u(p(X3),X4)) = u(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_14925,c_2287]) ).
tcf(c_25376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X3,X1))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),X2)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3913]) ).
tcf(c_25377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X3))
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),X2)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2931]) ).
tcf(c_25378,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| ( sK1(s(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X1),X2)) = u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2750]) ).
tcf(c_25379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,p(X2)))
| mem(sK1(X0,u(X1,p(X2))),X3)
| ( sK1(s(sK1(X0,u(X1,p(X2)))),u(p(X2),X3)) = sK1(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2699]) ).
tcf(c_25380,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(X0,X1),X2)
| ( u(X0,X1) = X1 )
| ( sK1(s(u(X0,X1)),u(p(X1),X2)) = u(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_2741]) ).
tcf(c_25381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| mem(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X3)
| ( sK1(s(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(p(X2),X3)) = u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_2749]) ).
tcf(c_25382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X4,X2))
| mem(u(X0,s(X1)),X3)
| ( sK1(s(u(X0,s(X1))),u(p(X2),X3)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_3916]) ).
tcf(c_25383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,u(X2,X4))
| mem(u(X0,s(X1)),X3)
| ( sK1(s(u(X0,s(X1))),u(p(X2),X3)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_3140]) ).
tcf(c_25384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X2)
| mem(u(X0,s(X1)),X3)
| ( sK1(s(u(X0,s(X1))),u(p(X2),X3)) = u(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_2872]) ).
tcf(c_25385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X4,X2))
| mem(u(X0,p(X1)),X3)
| ( sK1(s(u(X0,p(X1))),u(p(X2),X3)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_3917]) ).
tcf(c_25386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,u(X2,X4))
| mem(u(X0,p(X1)),X3)
| ( sK1(s(u(X0,p(X1))),u(p(X2),X3)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_3160]) ).
tcf(c_25387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(X2,p(X1)),X4)
| ( sK1(s(u(X2,p(X1))),u(p(X3),X4)) = u(X2,p(X1)) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_5862]) ).
tcf(c_25388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X3)
| mem(u(X1,p(X2)),X4)
| ( sK1(s(u(X1,p(X2))),u(p(X3),X4)) = u(X1,p(X2)) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_14925,c_4798]) ).
tcf(c_25389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X2)
| mem(u(X0,p(X1)),X3)
| ( sK1(s(u(X0,p(X1))),u(p(X2),X3)) = u(X0,p(X1)) ) ),
inference(superposition,[status(thm)],[c_14925,c_2877]) ).
tcf(c_25390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X3)
| mem(u(X0,u(s(X1),X2)),X4)
| ( sK1(s(u(X0,u(s(X1),X2))),u(p(X3),X4)) = u(X0,u(s(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_14925,c_3187]) ).
tcf(c_25391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X3)
| mem(u(u(p(X0),X1),X2),X4)
| ( sK1(s(u(u(p(X0),X1),X2)),u(p(X3),X4)) = u(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_14925,c_3197]) ).
tcf(c_25392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X3)
| mem(u(X0,u(p(X1),X2)),X4)
| ( sK1(s(u(X0,u(p(X1),X2))),u(p(X3),X4)) = u(X0,u(p(X1),X2)) ) ),
inference(superposition,[status(thm)],[c_14925,c_3222]) ).
tcf(c_25393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X3)
| mem(u(u(X0,s(X1)),X2),X4)
| ( sK1(s(u(u(X0,s(X1)),X2)),u(p(X3),X4)) = u(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_14925,c_3587]) ).
tcf(c_25394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X3)
| mem(u(X0,u(X1,s(X2))),X4)
| ( sK1(s(u(X0,u(X1,s(X2)))),u(p(X3),X4)) = u(X0,u(X1,s(X2))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3604]) ).
tcf(c_25395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X3)
| mem(u(u(X0,p(X1)),X2),X4)
| ( sK1(s(u(u(X0,p(X1)),X2)),u(p(X3),X4)) = u(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_14925,c_3609]) ).
tcf(c_25396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X3)
| mem(u(X0,u(X1,p(X2))),X4)
| ( sK1(s(u(X0,u(X1,p(X2)))),u(p(X3),X4)) = u(X0,u(X1,p(X2))) ) ),
inference(superposition,[status(thm)],[c_14925,c_3614]) ).
tcf(c_25397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(s(sK1(X0,u(X1,X2))),X3)
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(p(X1),X3)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_14925,c_4135]) ).
tcf(c_25398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X4)
| mem(u(X2,u(X3,X1)),X5)
| ( sK1(s(u(X2,u(X3,X1))),u(p(X4),X5)) = u(X2,u(X3,X1)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_12141]) ).
tcf(c_25399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X4)
| mem(u(X2,u(X1,X3)),X5)
| ( sK1(s(u(X2,u(X1,X3))),u(p(X4),X5)) = u(X2,u(X1,X3)) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_12074]) ).
tcf(c_25400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X4)
| mem(u(u(u(s(X0),X1),X2),X3),X5)
| ( sK1(s(u(u(u(s(X0),X1),X2),X3)),u(p(X4),X5)) = u(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_4788]) ).
tcf(c_25401,plain,
! [X0: $i,X1: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| mem(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(p(X0)),X1)) = s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_5105]) ).
tcf(c_25402,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(p(p(X0)),X1)) = s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_5106]) ).
tcf(c_25403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,X4)
| mem(u(X0,u(u(s(X1),X2),X3)),X5)
| ( sK1(s(u(X0,u(u(s(X1),X2),X3))),u(p(X4),X5)) = u(X0,u(u(s(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_14925,c_5893]) ).
tcf(c_25404,plain,
! [X0: $i,X1: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| mem(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),X1)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(p(p(X0)),X1)) = s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_5930]) ).
tcf(c_25405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,X4)
| mem(u(u(X0,u(s(X1),X2)),X3),X5)
| ( sK1(s(u(u(X0,u(s(X1),X2)),X3)),u(p(X4),X5)) = u(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_8480]) ).
tcf(c_25406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,X4)
| mem(u(X0,u(X1,u(s(X2),X3))),X5)
| ( sK1(s(u(X0,u(X1,u(s(X2),X3)))),u(p(X4),X5)) = u(X0,u(X1,u(s(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_14925,c_8494]) ).
tcf(c_25407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(u(u(p(X0),X1),X2),X3),X5)
| ( sK1(s(u(u(u(p(X0),X1),X2),X3)),u(p(X4),X5)) = u(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_9156]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(X0,u(u(p(X1),X2),X3)),X5)
| ( sK1(s(u(X0,u(u(p(X1),X2),X3))),u(p(X4),X5)) = u(X0,u(u(p(X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_14925,c_9160]) ).
tcf(c_25409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(u(X0,u(p(X1),X2)),X3),X5)
| ( sK1(s(u(u(X0,u(p(X1),X2)),X3)),u(p(X4),X5)) = u(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_9164]) ).
tcf(c_25410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(X0,u(X1,u(p(X2),X3))),X5)
| ( sK1(s(u(X0,u(X1,u(p(X2),X3)))),u(p(X4),X5)) = u(X0,u(X1,u(p(X2),X3))) ) ),
inference(superposition,[status(thm)],[c_14925,c_9778]) ).
tcf(c_25411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,X4)
| mem(u(u(u(X0,s(X1)),X2),X3),X5)
| ( sK1(s(u(u(u(X0,s(X1)),X2),X3)),u(p(X4),X5)) = u(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_9782]) ).
tcf(c_25412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,X4)
| mem(u(X0,u(u(X1,s(X2)),X3)),X5)
| ( sK1(s(u(X0,u(u(X1,s(X2)),X3))),u(p(X4),X5)) = u(X0,u(u(X1,s(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_14925,c_9787]) ).
tcf(c_25413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X2,X4)
| mem(u(u(X0,u(X1,s(X2))),X3),X5)
| ( sK1(s(u(u(X0,u(X1,s(X2))),X3)),u(p(X4),X5)) = u(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_9792]) ).
tcf(c_25414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X3,X4)
| mem(u(X0,u(X1,u(X2,s(X3)))),X5)
| ( sK1(s(u(X0,u(X1,u(X2,s(X3))))),u(p(X4),X5)) = u(X0,u(X1,u(X2,s(X3)))) ) ),
inference(superposition,[status(thm)],[c_14925,c_10533]) ).
tcf(c_25415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(u(u(X0,p(X1)),X2),X3),X5)
| ( sK1(s(u(u(u(X0,p(X1)),X2),X3)),u(p(X4),X5)) = u(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_10538]) ).
tcf(c_25416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(X0,u(u(X1,p(X2)),X3)),X5)
| ( sK1(s(u(X0,u(u(X1,p(X2)),X3))),u(p(X4),X5)) = u(X0,u(u(X1,p(X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_14925,c_10543]) ).
tcf(c_25417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| mem(s(sK1(X0,u(X1,X2))),X3)
| ( sK1(s(s(sK1(X0,u(X1,X2)))),u(p(X2),X3)) = s(sK1(X0,u(X1,X2))) ) ),
inference(superposition,[status(thm)],[c_14925,c_10552]) ).
tcf(c_25418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(u(X0,u(X1,p(X2))),X3),X5)
| ( sK1(s(u(u(X0,u(X1,p(X2))),X3)),u(p(X4),X5)) = u(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_14925,c_11348]) ).
tcf(c_25419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(e,X4)
| mem(u(X0,u(X1,u(X2,p(X3)))),X5)
| ( sK1(s(u(X0,u(X1,u(X2,p(X3))))),u(p(X4),X5)) = u(X0,u(X1,u(X2,p(X3)))) ) ),
inference(superposition,[status(thm)],[c_14925,c_11353]) ).
tcf(c_25421,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| ( X0 = X2 )
| ( sK1(s(X0),u(p(X1),s(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_52]) ).
tcf(c_25422,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK1(X0,X1),X2)
| ( sK1(s(sK1(X0,X1)),u(p(X2),X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_14925,c_56]) ).
tcf(c_25423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(p(X3),X0)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_6134]) ).
tcf(c_25424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X2),u(p(X3),X1)) = X2 )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_6133]) ).
tcf(c_25425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(X2,X1)
| ( sK1(s(X2),u(p(X3),X0)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_14925,c_58]) ).
tcf(c_25426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X1)
| mem(X0,X3)
| mem(X0,X2)
| ( sK1(s(X0),u(p(X1),u(X2,X3))) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_62]) ).
tcf(c_25429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| subq(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(p(X3),X1)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14925,c_910]) ).
tcf(c_25430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,u(X1,X2))
| subq(sK1(X0,u(X1,X2)),X3)
| ( sK1(s(sK1(X0,u(X1,X2))),u(p(X3),X2)) = sK1(X0,u(X1,X2)) ) ),
inference(superposition,[status(thm)],[c_14925,c_918]) ).
tcf(c_25432,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2023]) ).
tcf(c_25433,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),u(p(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_8567]) ).
tcf(c_25434,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_10101]) ).
tcf(c_25435,plain,
! [X0: $i] :
( subq(s(e),X0)
| ( sK1(s(s(e)),u(p(X0),p(e))) = s(e) ) ),
inference(superposition,[status(thm)],[c_14925,c_20587]) ).
tcf(c_25436,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(p(X0),p(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_2486]) ).
tcf(c_26478,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1525]) ).
tcf(c_26479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(sK1(X2,X0)),u(X0,e)) = sK1(X2,X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_1363]) ).
tcf(c_26480,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1237]) ).
tcf(c_26481,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,X1)),u(X1,e)) = sK1(X2,X1) )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_9726]) ).
tcf(c_26482,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,X0)),u(X0,e)) = sK1(X2,X0) )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_8403]) ).
tcf(c_26483,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_16879]) ).
tcf(c_26484,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_16056]) ).
tcf(c_26485,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,X0)),u(X0,e)) = sK1(X1,X0) )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_6131]) ).
tcf(c_26486,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_5265]) ).
tcf(c_26487,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_4711]) ).
tcf(c_26488,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1104]) ).
tcf(c_26489,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_1246]) ).
tcf(c_26490,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(sK1(X1,X0)),u(X0,e)) = sK1(X1,X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_59]) ).
tcf(c_26492,plain,
sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_15130,c_318]) ).
tcf(c_26493,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),X1)),u(X1,e)) = sK1(s(X2),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_14033]) ).
tcf(c_26494,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),X0)),u(X0,e)) = sK1(s(X2),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_8842]) ).
tcf(c_26495,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(sK1(s(X0),X1)),u(X1,e)) = sK1(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_931]) ).
tcf(c_26496,plain,
sK1(s(sK1(s(e),e)),u(e,e)) = sK1(s(e),e),
inference(superposition,[status(thm)],[c_15130,c_19914]) ).
tcf(c_26497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ( sK1(s(sK1(p(X0),X1)),u(X1,e)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_4752]) ).
tcf(c_26498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(sK1(p(X0),X1)),u(X1,e)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_4747]) ).
tcf(c_26499,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(s(sK1(p(X0),X1)),u(X1,e)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_3890]) ).
tcf(c_26500,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(sK1(p(X0),X1)),u(X1,e)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_2299]) ).
tcf(c_26501,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X0),X1)),u(X1,e)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_2278]) ).
tcf(c_26502,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(p(X1),X2)),u(X2,e)) = sK1(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15130,c_1514]) ).
tcf(c_26503,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(p(X1),X2)),u(X2,e)) = sK1(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_935]) ).
tcf(c_26504,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(sK1(X0,p(X1)),X1)),u(X1,e)) = sK1(sK1(X0,p(X1)),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_902]) ).
tcf(c_26505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(sK1(u(X2,X1),X0)),u(X0,e)) = sK1(u(X2,X1),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_3888]) ).
tcf(c_26506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(sK1(u(X1,X2),X0)),u(X0,e)) = sK1(u(X1,X2),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_1888]) ).
tcf(c_26507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,X1),X3)),u(X3,e)) = sK1(u(X2,X1),X3) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15130,c_10553]) ).
tcf(c_26508,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(X0,X1),X2)),u(X2,e)) = sK1(u(X0,X1),X2) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_15130,c_4192]) ).
tcf(c_26509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,X2),X3)),u(X3,e)) = sK1(u(X1,X2),X3) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15130,c_4136]) ).
tcf(c_26510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,X1),X3)),u(X3,e)) = sK1(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_934]) ).
tcf(c_26511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,X2),X3)),u(X3,e)) = sK1(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_933]) ).
tcf(c_26512,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(X0,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_3894]) ).
tcf(c_26513,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(X0,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_3000]) ).
tcf(c_26514,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(X1,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15130,c_3896]) ).
tcf(c_26515,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(X0,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_2495]) ).
tcf(c_26516,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(X0,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15130,c_1893]) ).
tcf(c_26517,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(X0,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_962]) ).
tcf(c_26518,plain,
sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)),u(e,e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e),
inference(superposition,[status(thm)],[c_15130,c_960]) ).
tcf(c_26519,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),u(s(X0),e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_961]) ).
tcf(c_26520,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))),u(p(X0),e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_963]) ).
tcf(c_26521,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_23342]) ).
tcf(c_26522,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_9233]) ).
tcf(c_26523,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_9229]) ).
tcf(c_26524,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_6022]) ).
tcf(c_26525,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_6019]) ).
tcf(c_26526,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_9172]) ).
tcf(c_26527,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_5908]) ).
tcf(c_26528,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_3897]) ).
tcf(c_26529,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_3024]) ).
tcf(c_26530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)),u(X2,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15130,c_4223]) ).
tcf(c_26531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(X1,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15130,c_4220]) ).
tcf(c_26532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(X1,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15130,c_3899]) ).
tcf(c_26533,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(X1,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15130,c_3900]) ).
tcf(c_26534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15130,c_1999]) ).
tcf(c_26535,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15130,c_1894]) ).
tcf(c_26536,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_998]) ).
tcf(c_26537,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e)),u(e,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),e),
inference(superposition,[status(thm)],[c_15130,c_996]) ).
tcf(c_26538,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),u(s(X0),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_23338]) ).
tcf(c_26539,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),u(s(X0),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_997]) ).
tcf(c_26540,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(p(X0),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_9040]) ).
tcf(c_26541,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(p(X0),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_5681]) ).
tcf(c_26542,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(p(X0),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_1543]) ).
tcf(c_26543,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(p(X0),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_2493]) ).
tcf(c_26544,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),u(p(e),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_15130,c_2488]) ).
tcf(c_26545,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),u(p(e),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)) ) ),
inference(superposition,[status(thm)],[c_15130,c_1071]) ).
tcf(c_26546,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(u(X0,X1),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_15130,c_1022]) ).
tcf(c_26547,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1))),u(u(X0,X1),e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_15130,c_1023]) ).
tcf(c_26548,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK1(s(sK1(X0,e)),u(e,e)) = sK1(X0,e) ) ),
inference(superposition,[status(thm)],[c_15130,c_1360]) ).
tcf(c_26549,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK1(s(sK1(X0,e)),u(e,e)) = sK1(X0,e) ) ),
inference(superposition,[status(thm)],[c_15130,c_1043]) ).
tcf(c_26550,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)) = sK1(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_15130,c_1046]) ).
tcf(c_26551,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(e),X0)),u(X0,e)) = sK1(p(e),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_8912]) ).
tcf(c_26552,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(sK1(X0,s(X1))),u(s(X1),e)) = sK1(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15130,c_1361]) ).
tcf(c_26553,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(e))),u(p(e),e)) = sK1(X0,p(e)) ) ),
inference(superposition,[status(thm)],[c_15130,c_5123]) ).
tcf(c_26554,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0)),u(X0,e)) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_15130,c_9210]) ).
tcf(c_26555,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),u(X1,e)) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_15130,c_5962]) ).
tcf(c_26556,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0)))),u(p(s(X0)),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ) ),
inference(superposition,[status(thm)],[c_15130,c_8225]) ).
tcf(c_26557,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_15130,c_23392]) ).
tcf(c_26558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ( sK1(s(sK1(u(s(X0),X1),X2)),u(X2,e)) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3903]) ).
tcf(c_26559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(sK1(u(s(X0),X1),X2)),u(X2,e)) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2228]) ).
tcf(c_26560,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(u(s(X0),X1),X2)),u(X2,e)) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_1878]) ).
tcf(c_26561,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0)))),u(p(sK1(p(e),X0)),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0))) ) ),
inference(superposition,[status(thm)],[c_15130,c_1458]) ).
tcf(c_26562,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(sK1(p(X0),p(e))),u(p(e),e)) = sK1(p(X0),p(e)) ) ),
inference(superposition,[status(thm)],[c_15130,c_1495]) ).
tcf(c_26563,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(sK1(X0,p(X1)),e)),u(e,e)) = sK1(sK1(X0,p(X1)),e) ) ),
inference(superposition,[status(thm)],[c_15130,c_1513]) ).
tcf(c_26564,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)),u(X1,e)) = sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1811]) ).
tcf(c_26565,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)),u(X1,e)) = sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_2747]) ).
tcf(c_26566,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(sK1(X0,u(p(X1),X2)),X1)),u(X1,e)) = sK1(sK1(X0,u(p(X1),X2)),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1777]) ).
tcf(c_26567,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(sK1(u(X0,X1),X0)),u(X0,e)) = sK1(u(X0,X1),X0) ) ),
inference(superposition,[status(thm)],[c_15130,c_1807]) ).
tcf(c_26568,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(X1,e)) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_3908]) ).
tcf(c_26569,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(X1,e)) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1954]) ).
tcf(c_26570,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(X1,e)) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_1812]) ).
tcf(c_26571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(sK1(u(p(X0),X1),X2)),u(X2,e)) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3909]) ).
tcf(c_26572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(sK1(u(p(X0),X1),X2)),u(X2,e)) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3124]) ).
tcf(c_26573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(p(X1),X2),X3)),u(X3,e)) = sK1(u(p(X1),X2),X3) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_4111]) ).
tcf(c_26574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(p(X1),X2),X3)),u(X3,e)) = sK1(u(p(X1),X2),X3) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15130,c_1937]) ).
tcf(c_26575,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(p(X0),X1),X2)),u(X2,e)) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2868]) ).
tcf(c_26576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(X2,X1),X3),X4)),u(X4,e)) = sK1(u(u(X2,X1),X3),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_12125]) ).
tcf(c_26577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(X1,X2),X3),X4)),u(X4,e)) = sK1(u(u(X1,X2),X3),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_12057]) ).
tcf(c_26578,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2)),u(X2,e)) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2000]) ).
tcf(c_26579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(u(s(X0),X1),X2),X3)),u(X3,e)) = sK1(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_2287]) ).
tcf(c_26580,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),e)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_2496]) ).
tcf(c_26581,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(X1,e)) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_3913]) ).
tcf(c_26582,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(X1,e)) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_2931]) ).
tcf(c_26583,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(X1,e)) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_2750]) ).
tcf(c_26584,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(sK1(X0,u(X1,p(X2))),X2)),u(X2,e)) = sK1(sK1(X0,u(X1,p(X2))),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2699]) ).
tcf(c_26585,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(sK1(u(X0,X1),X1)),u(X1,e)) = sK1(u(X0,X1),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_2741]) ).
tcf(c_26586,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)),u(X2,e)) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2749]) ).
tcf(c_26587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ( sK1(s(sK1(u(X0,s(X1)),X2)),u(X2,e)) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3916]) ).
tcf(c_26588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(sK1(u(X0,s(X1)),X2)),u(X2,e)) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3140]) ).
tcf(c_26589,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(sK1(u(X0,s(X1)),X2)),u(X2,e)) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2872]) ).
tcf(c_26590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(sK1(u(X0,p(X1)),X2)),u(X2,e)) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3917]) ).
tcf(c_26591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(sK1(u(X0,p(X1)),X2)),u(X2,e)) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_3160]) ).
tcf(c_26592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,p(X1)),X3)),u(X3,e)) = sK1(u(X2,p(X1)),X3) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_5862]) ).
tcf(c_26593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,p(X2)),X3)),u(X3,e)) = sK1(u(X1,p(X2)),X3) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15130,c_4798]) ).
tcf(c_26594,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(X0,p(X1)),X2)),u(X2,e)) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_2877]) ).
tcf(c_26595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),X3)),u(X3,e)) = sK1(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3187]) ).
tcf(c_26596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(p(X0),X1),X2),X3)),u(X3,e)) = sK1(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3197]) ).
tcf(c_26597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),X3)),u(X3,e)) = sK1(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3222]) ).
tcf(c_26598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),X3)),u(X3,e)) = sK1(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3587]) ).
tcf(c_26599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),X3)),u(X3,e)) = sK1(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3604]) ).
tcf(c_26600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),X3)),u(X3,e)) = sK1(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3609]) ).
tcf(c_26601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),X3)),u(X3,e)) = sK1(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15130,c_3614]) ).
tcf(c_26602,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(s(sK1(X0,u(X1,X2))),X1)),u(X1,e)) = sK1(s(sK1(X0,u(X1,X2))),X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_4135]) ).
tcf(c_26603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(X2,u(X3,X1)),X4)),u(X4,e)) = sK1(u(X2,u(X3,X1)),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_12141]) ).
tcf(c_26604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(X2,u(X1,X3)),X4)),u(X4,e)) = sK1(u(X2,u(X1,X3)),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15130,c_12074]) ).
tcf(c_26605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(u(s(X0),X1),X2),X3),X4)),u(X4,e)) = sK1(u(u(u(s(X0),X1),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_4788]) ).
tcf(c_26606,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))),u(p(X0),e)) = sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_5105]) ).
tcf(c_26607,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))),u(p(X0),e)) = sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_5106]) ).
tcf(c_26608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(X0,u(u(s(X1),X2),X3)),X4)),u(X4,e)) = sK1(u(X0,u(u(s(X1),X2),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_5893]) ).
tcf(c_26609,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0))),u(p(X0),e)) = sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15130,c_5930]) ).
tcf(c_26610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(u(X0,u(s(X1),X2)),X3),X4)),u(X4,e)) = sK1(u(u(X0,u(s(X1),X2)),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_8480]) ).
tcf(c_26611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(s(X2),X3))),X4)),u(X4,e)) = sK1(u(X0,u(X1,u(s(X2),X3))),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_8494]) ).
tcf(c_26612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(u(p(X0),X1),X2),X3),X4)),u(X4,e)) = sK1(u(u(u(p(X0),X1),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9156]) ).
tcf(c_26613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(u(p(X1),X2),X3)),X4)),u(X4,e)) = sK1(u(X0,u(u(p(X1),X2),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9160]) ).
tcf(c_26614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(X0,u(p(X1),X2)),X3),X4)),u(X4,e)) = sK1(u(u(X0,u(p(X1),X2)),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9164]) ).
tcf(c_26615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(p(X2),X3))),X4)),u(X4,e)) = sK1(u(X0,u(X1,u(p(X2),X3))),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9778]) ).
tcf(c_26616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(u(u(X0,s(X1)),X2),X3),X4)),u(X4,e)) = sK1(u(u(u(X0,s(X1)),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9782]) ).
tcf(c_26617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(X0,u(u(X1,s(X2)),X3)),X4)),u(X4,e)) = sK1(u(X0,u(u(X1,s(X2)),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9787]) ).
tcf(c_26618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(u(X0,u(X1,s(X2))),X3),X4)),u(X4,e)) = sK1(u(u(X0,u(X1,s(X2))),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_9792]) ).
tcf(c_26619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(X2,s(X3)))),X4)),u(X4,e)) = sK1(u(X0,u(X1,u(X2,s(X3)))),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_10533]) ).
tcf(c_26620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(u(X0,p(X1)),X2),X3),X4)),u(X4,e)) = sK1(u(u(u(X0,p(X1)),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_10538]) ).
tcf(c_26621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(u(X1,p(X2)),X3)),X4)),u(X4,e)) = sK1(u(X0,u(u(X1,p(X2)),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_10543]) ).
tcf(c_26622,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(s(sK1(X0,u(X1,X2))),X2)),u(X2,e)) = sK1(s(sK1(X0,u(X1,X2))),X2) ) ),
inference(superposition,[status(thm)],[c_15130,c_10552]) ).
tcf(c_26623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(X0,u(X1,p(X2))),X3),X4)),u(X4,e)) = sK1(u(u(X0,u(X1,p(X2))),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_11348]) ).
tcf(c_26624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(X2,p(X3)))),X4)),u(X4,e)) = sK1(u(X0,u(X1,u(X2,p(X3)))),X4) ) ),
inference(superposition,[status(thm)],[c_15130,c_11353]) ).
tcf(c_27552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,u(X0,X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,u(X0,X2)),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_8913,c_6134]) ).
tcf(c_27553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,u(X0,X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,u(X0,X3))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_8913,c_6133]) ).
tcf(c_27554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ~ subq(p(e),X1)
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_8913,c_58]) ).
tcf(c_27555,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| mem(e,u(X0,X1))
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_8913,c_62]) ).
tcf(c_27574,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X1) = e )
| ( sK1(s(sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9048,c_6134]) ).
tcf(c_27575,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(p(e),X2) = e )
| ( sK1(s(sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9048,c_6133]) ).
tcf(c_27576,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(p(e),X1) = e )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9048,c_58]) ).
tcf(c_27588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(u(u(s(X0),X1),X2),X3),X4),X5),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(u(u(s(X0),X1),X2),X3),X4),X5),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9527,c_6134]) ).
tcf(c_27589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(u(u(s(X1),X2),X3),X4),X5)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(u(u(s(X1),X2),X3),X4),X5)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_9527,c_6133]) ).
tcf(c_27590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(X0,X5)
| ~ subq(u(u(u(u(s(X0),X1),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_9527,c_58]) ).
tcf(c_27609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(u(X0,X1),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_15130,c_23343]) ).
tcf(c_27610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_23343]) ).
tcf(c_27611,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(X0,X1)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_23343]) ).
tcf(c_27612,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(u(X0,X1)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_23343]) ).
tcf(c_27613,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(X0,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_1103,c_23343]) ).
tcf(c_27615,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(X0,X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_23343]) ).
tcf(c_27616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),X1)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(u(X1,X2)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_23343]) ).
tcf(c_27617,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
inference(superposition,[status(thm)],[c_901,c_23343]) ).
tcf(c_27621,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(superposition,[status(thm)],[c_2694,c_23343]) ).
tcf(c_27622,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X0)
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_23343]) ).
tcf(c_27623,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X0)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) ) ),
inference(superposition,[status(thm)],[c_5910,c_23343]) ).
tcf(c_27624,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X0)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_23343]) ).
tcf(c_27718,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e)) ),
inference(superposition,[status(thm)],[c_26492,c_56]) ).
tcf(c_27719,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))) ),
inference(superposition,[status(thm)],[c_26492,c_57]) ).
tcf(c_27720,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),e) ),
inference(superposition,[status(thm)],[c_26492,c_10552]) ).
tcf(c_27721,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
inference(superposition,[status(thm)],[c_26492,c_4135]) ).
tcf(c_27722,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),e) ),
inference(superposition,[status(thm)],[c_26492,c_918]) ).
tcf(c_27723,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
inference(superposition,[status(thm)],[c_26492,c_910]) ).
tcf(c_27724,plain,
! [X0: $i] :
( subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X0)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_26492,c_1365]) ).
tcf(c_27725,plain,
! [X0: $i] :
( mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),X0)
| subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),X0) ),
inference(superposition,[status(thm)],[c_26492,c_932]) ).
tcf(c_27726,plain,
( subq(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),e))
| ~ subq(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
inference(superposition,[status(thm)],[c_26492,c_1777]) ).
tcf(c_27752,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(X0,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_23340]) ).
tcf(c_27753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_23340]) ).
tcf(c_27754,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_23340]) ).
tcf(c_27755,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_23340]) ).
tcf(c_27756,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_23340]) ).
tcf(c_27758,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_23340]) ).
tcf(c_27759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X2,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_23340]) ).
tcf(c_27760,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_23340]) ).
tcf(c_27761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,X1),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_23340]) ).
tcf(c_27762,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_23340]) ).
tcf(c_27763,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_23340]) ).
tcf(c_27764,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_23340]) ).
tcf(c_27765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(u(X1,X0),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X1,X0),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_23340]) ).
tcf(c_27766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)) )
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5910,c_23340]) ).
tcf(c_27767,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_23340]) ).
tcf(c_27987,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(X1,e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15130,c_23341]) ).
tcf(c_27988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),X2)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_23341]) ).
tcf(c_27989,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15856,c_23341]) ).
tcf(c_27990,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X1),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15135,c_23341]) ).
tcf(c_27991,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X1) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1103,c_23341]) ).
tcf(c_27993,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X1)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1106,c_23341]) ).
tcf(c_27994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X2,p(X1))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_23341]) ).
tcf(c_27995,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_901,c_23341]) ).
tcf(c_27996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X0,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X0,X2)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_1778,c_23341]) ).
tcf(c_27997,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_1772,c_23341]) ).
tcf(c_27998,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_23341]) ).
tcf(c_27999,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_2694,c_23341]) ).
tcf(c_28000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X3),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(X1,u(X2,X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X1,u(X2,X0)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_2700,c_23341]) ).
tcf(c_28001,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) )
| ( sK1(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5910,c_23341]) ).
tcf(c_28002,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ( sK1(s(sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_23341]) ).
tcf(c_28119,plain,
~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),
inference(superposition,[status(thm)],[c_23407,c_318]) ).
tcf(c_28129,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),u(p(e),e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),
inference(superposition,[status(thm)],[c_15130,c_28119]) ).
tcf(c_28130,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14925,c_28119]) ).
tcf(c_28131,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_15856,c_28119]) ).
tcf(c_28132,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(p(e)),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_15135,c_28119]) ).
tcf(c_28133,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),p(e)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),
inference(superposition,[status(thm)],[c_1103,c_28119]) ).
tcf(c_28135,plain,
sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),
inference(superposition,[status(thm)],[c_1106,c_28119]) ).
tcf(c_28136,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,p(p(e)))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_14910,c_28119]) ).
tcf(c_28141,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| ~ mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_28135,c_56]) ).
tcf(c_28142,plain,
( subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_28135,c_57]) ).
tcf(c_28145,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_28135,c_1365]) ).
tcf(c_28146,plain,
! [X0: $i] :
( mem(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(p(e)))
| ~ subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ),
inference(superposition,[status(thm)],[c_28135,c_932]) ).
tcf(c_28161,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ mem(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(superposition,[status(thm)],[c_6407,c_56]) ).
tcf(c_28162,plain,
! [X0: $i,X1: $i] :
( subq(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))))
| ( u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) ) ),
inference(superposition,[status(thm)],[c_6407,c_57]) ).
tcf(c_28163,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2)
| subq(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),p(X2)) ),
inference(superposition,[status(thm)],[c_6407,c_1365]) ).
tcf(c_28164,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),X2)
| subq(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) = u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(s(sK1(u(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),X2) ),
inference(superposition,[status(thm)],[c_6407,c_932]) ).
tcf(c_28187,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(sK1(X0,X1)),u(X1,e)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15130,c_15133]) ).
tcf(c_28188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X1)
| mem(X0,X2)
| ( sK1(s(X3),u(X0,e)) = X3 )
| ( sK1(s(X0),u(p(X1),X2)) = X0 ) ),
inference(superposition,[status(thm)],[c_14925,c_15133]) ).
tcf(c_28189,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(X0),u(e,p(X1))) = X0 ) ),
inference(superposition,[status(thm)],[c_15856,c_15133]) ).
tcf(c_28190,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(X0),u(p(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_15135,c_15133]) ).
tcf(c_28191,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(sK1(X0,X1)),X1) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_1103,c_15133]) ).
tcf(c_28192,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(X0),u(X1,e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1399,c_15133]) ).
tcf(c_28193,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(X1),p(X2)) = X1 )
| ( sK1(s(X0),u(X1,e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1106,c_15133]) ).
tcf(c_28194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X3,X2)
| mem(X0,X1)
| ( sK1(s(X3),u(X0,e)) = X3 )
| ( sK1(s(X0),u(X1,p(X2))) = X0 ) ),
inference(superposition,[status(thm)],[c_14910,c_15133]) ).
tcf(c_28195,plain,
! [X0: $i] :
( mem(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X0),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_310,c_15133]) ).
tcf(c_28197,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(X1),X2) = X1 )
| ( sK1(s(X0),u(s(X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_880,c_15133]) ).
tcf(c_28198,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| subq(p(X1),X2)
| ( sK1(s(X0),u(sK1(p(X1),X2),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_892,c_15133]) ).
tcf(c_28200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X1,X3))
| ( sK1(s(X2),u(X0,e)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1778,c_15133]) ).
tcf(c_28201,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23339,c_15133]) ).
tcf(c_28202,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),u(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_999,c_15133]) ).
tcf(c_28203,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23345,c_15133]) ).
tcf(c_28204,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(p(e),X1) = e )
| ( sK1(s(X0),u(p(e),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1069,c_15133]) ).
tcf(c_28205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X3)
| mem(X2,X1)
| ( sK1(s(X2),u(sK1(X0,X3),e)) = X2 )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1365,c_15133]) ).
tcf(c_28206,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| subq(p(e),X1)
| ( sK1(s(X0),u(sK1(p(e),X1),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1402,c_15133]) ).
tcf(c_28207,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ( sK1(s(X0),u(p(e),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1455,c_15133]) ).
tcf(c_28208,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ( sK1(s(X0),u(X1,e)) = X0 ) ),
inference(superposition,[status(thm)],[c_1772,c_15133]) ).
tcf(c_28209,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(X1),u(X0,e)) = X1 )
| ( sK1(s(sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_5907,c_15133]) ).
tcf(c_28210,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ( sK1(s(X0),u(X1,e)) = X0 ) ),
inference(superposition,[status(thm)],[c_2694,c_15133]) ).
tcf(c_28211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,u(X3,X1))
| ( sK1(s(X2),u(X0,e)) = X2 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2700,c_15133]) ).
tcf(c_28212,plain,
! [X0: $i,X1: $i] :
( mem(X1,s(X0))
| ( X0 = e )
| ( sK1(s(X1),u(p(e),e)) = X1 )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_5079,c_15133]) ).
tcf(c_28213,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ( sK1(s(X0),u(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),e)) = X0 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(p(e))) ),
inference(superposition,[status(thm)],[c_5823,c_15133]) ).
tcf(c_28214,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)) ) ),
inference(superposition,[status(thm)],[c_5910,c_15133]) ).
tcf(c_28215,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(X0,u(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ) ),
inference(superposition,[status(thm)],[c_5911,c_15133]) ).
tcf(c_28216,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X0)
| subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| ( sK1(s(X1),u(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),e)) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_23344,c_15133]) ).
tcf(c_28217,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),e)) = X1 )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ),
inference(superposition,[status(thm)],[c_23346,c_15133]) ).
tcf(c_28218,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(p(X1),X2))
| ( sK1(s(X0),u(p(e),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_18753,c_15133]) ).
tcf(c_28219,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(e,e))
| ( sK1(s(X1),u(s(X0),e)) = X1 )
| ~ mem(X0,u(e,e)) ),
inference(superposition,[status(thm)],[c_15195,c_15133]) ).
tcf(c_28220,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,p(X2)))
| ( sK1(s(X0),u(p(e),e)) = X0 ) ),
inference(superposition,[status(thm)],[c_18899,c_15133]) ).
tcf(c_28322,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),u(X0,e)) = X2 )
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_15133]) ).
tcf(c_28323,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(e)) = X1 )
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1525]) ).
tcf(c_28324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X2,X3)
| mem(sK1(X2,X3),X1)
| ( sK1(s(sK1(X2,X0)),u(e,X0)) = sK1(X2,X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_1363]) ).
tcf(c_28325,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(X1),p(X0)) = X1 )
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1237]) ).
tcf(c_28326,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,X1)),u(e,X1)) = sK1(X2,X1) )
| ( sK1(s(sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,p(X1)),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_9726]) ).
tcf(c_28327,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X2,X0)),u(e,X0)) = sK1(X2,X0) )
| ( sK1(s(sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(p(X0),X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_8403]) ).
tcf(c_28328,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(X0))) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_16879]) ).
tcf(c_28329,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(p(X0),e)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_16056]) ).
tcf(c_28330,plain,
! [X0: $i,X1: $i] :
( mem(X1,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(X1,X0)),u(e,X0)) = sK1(X1,X0) )
| ( sK1(s(sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(X0),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_6131]) ).
tcf(c_28331,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),X0) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_5265]) ).
tcf(c_28332,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(p(e),X0) = e )
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_4711]) ).
tcf(c_28333,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ( sK1(s(X2),X0) = X2 )
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1104]) ).
tcf(c_28334,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(X0,X1)),u(e,X1)) = sK1(X0,X1) )
| ( sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) = u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_1246]) ).
tcf(c_28335,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1(s(sK1(X1,X0)),u(e,X0)) = sK1(X1,X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_59]) ).
tcf(c_28337,plain,
sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(e,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_15851,c_318]) ).
tcf(c_28338,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),X1)),u(e,X1)) = sK1(s(X2),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_14033]) ).
tcf(c_28339,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(s(X2),X0)),u(e,X0)) = sK1(s(X2),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_8842]) ).
tcf(c_28340,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK1(s(sK1(s(X0),X1)),u(e,X1)) = sK1(s(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_931]) ).
tcf(c_28342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X2,X1),X3))
| ( sK1(s(sK1(p(X0),X1)),u(e,X1)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_4752]) ).
tcf(c_28343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(u(X1,X2),X3))
| ( sK1(s(sK1(p(X0),X1)),u(e,X1)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_4747]) ).
tcf(c_28344,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X2,X1))
| ( sK1(s(sK1(p(X0),X1)),u(e,X1)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_3890]) ).
tcf(c_28345,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,u(X1,X2))
| ( sK1(s(sK1(p(X0),X1)),u(e,X1)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_2299]) ).
tcf(c_28346,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK1(s(sK1(p(X0),X1)),u(e,X1)) = sK1(p(X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_2278]) ).
tcf(c_28347,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(p(X1),X2)),u(e,X2)) = sK1(p(X1),X2) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15851,c_1514]) ).
tcf(c_28348,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(p(X1),X2)),u(e,X2)) = sK1(p(X1),X2) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_935]) ).
tcf(c_28349,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(sK1(X0,p(X1)),X1)),u(e,X1)) = sK1(sK1(X0,p(X1)),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_902]) ).
tcf(c_28350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X2,X1) = X0 )
| ( sK1(s(sK1(u(X2,X1),X0)),u(e,X0)) = sK1(u(X2,X1),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_3888]) ).
tcf(c_28351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u(X1,X2) = X0 )
| ( sK1(s(sK1(u(X1,X2),X0)),u(e,X0)) = sK1(u(X1,X2),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_1888]) ).
tcf(c_28352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,X1),X3)),u(e,X3)) = sK1(u(X2,X1),X3) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15851,c_10553]) ).
tcf(c_28353,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(X0,X1),X2)),u(e,X2)) = sK1(u(X0,X1),X2) )
| ~ subq(p(e),X0) ),
inference(superposition,[status(thm)],[c_15851,c_4192]) ).
tcf(c_28354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,X2),X3)),u(e,X3)) = sK1(u(X1,X2),X3) )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_15851,c_4136]) ).
tcf(c_28355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,X1),X3)),u(e,X3)) = sK1(u(X2,X1),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_934]) ).
tcf(c_28356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,X2),X3)),u(e,X3)) = sK1(u(X1,X2),X3) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_933]) ).
tcf(c_28357,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X1,X0))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(e,X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_3894]) ).
tcf(c_28358,plain,
! [X0: $i,X1: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(X0,X1))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(e,X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_3000]) ).
tcf(c_28359,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(e,X1)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15851,c_3896]) ).
tcf(c_28360,plain,
! [X0: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(e,X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_2495]) ).
tcf(c_28361,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(e,X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15851,c_1893]) ).
tcf(c_28362,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)),u(e,X0)) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_962]) ).
tcf(c_28364,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0))),u(e,s(X0))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_961]) ).
tcf(c_28365,plain,
! [X0: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))),u(e,p(X0))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_963]) ).
tcf(c_28366,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(e,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_23341]) ).
tcf(c_28367,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_23340]) ).
tcf(c_28368,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_23342]) ).
tcf(c_28369,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X1,X0))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_9233]) ).
tcf(c_28370,plain,
! [X0: $i,X1: $i] :
( mem(e,u(X0,X1))
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_9229]) ).
tcf(c_28371,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X2,X0))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_6022]) ).
tcf(c_28372,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,u(X0,X2))
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_6019]) ).
tcf(c_28373,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_9172]) ).
tcf(c_28374,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_5908]) ).
tcf(c_28375,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X1,X0),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_3897]) ).
tcf(c_28376,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(X0,X1),X2))
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_3024]) ).
tcf(c_28377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2)),u(e,X2)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X2) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15851,c_4223]) ).
tcf(c_28378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(e,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(X0,u(X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_15851,c_4220]) ).
tcf(c_28379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(e,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15851,c_3899]) ).
tcf(c_28380,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1)),u(e,X1)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X1) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15851,c_3900]) ).
tcf(c_28381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X3)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(u(u(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_15851,c_1999]) ).
tcf(c_28382,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(u(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15851,c_1894]) ).
tcf(c_28383,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)),u(e,X0)) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_998]) ).
tcf(c_28385,plain,
! [X0: $i,X1: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)
| ( sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),u(e,s(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_23338]) ).
tcf(c_28386,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0))),u(e,s(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),s(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_997]) ).
tcf(c_28387,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK1(p(e),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = e )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(e,p(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_9040]) ).
tcf(c_28388,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ( sK1(s(X1),sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) = X1 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(e,p(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_5681]) ).
tcf(c_28389,plain,
! [X0: $i] :
( ( sK1(s(X0),p(e)) = X0 )
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(e,p(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_1543]) ).
tcf(c_28390,plain,
! [X0: $i] :
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0))),u(e,p(X0))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_2493]) ).
tcf(c_28391,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e))),u(e,p(e))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(e)),
inference(superposition,[status(thm)],[c_15851,c_28119]) ).
tcf(c_28392,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X1)
| mem(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X2),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(e,u(X0,X1))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_15851,c_23343]) ).
tcf(c_28393,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1))),u(e,u(X0,X1))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_15851,c_1022]) ).
tcf(c_28394,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1))),u(e,u(X0,X1))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_15851,c_1023]) ).
tcf(c_28397,plain,
! [X0: $i] :
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 )
| ( sK1(s(sK1(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),u(e,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) = sK1(X0,sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) )
| ~ subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(X0)) ),
inference(superposition,[status(thm)],[c_15851,c_1046]) ).
tcf(c_28398,plain,
! [X0: $i,X1: $i] :
( mem(e,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ( sK1(s(sK1(p(e),X0)),u(e,X0)) = sK1(p(e),X0) )
| ( sK1(s(sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(u(X0,X1),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_8912]) ).
tcf(c_28399,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK1(X0,X2) = X1 )
| ( sK1(s(sK1(X0,s(X1))),u(e,s(X1))) = sK1(X0,s(X1)) ) ),
inference(superposition,[status(thm)],[c_15851,c_1361]) ).
tcf(c_28400,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ( sK1(s(sK1(X0,p(e))),u(e,p(e))) = sK1(X0,p(e)) ) ),
inference(superposition,[status(thm)],[c_15851,c_5123]) ).
tcf(c_28401,plain,
! [X0: $i] :
( mem(e,X0)
| mem(e,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0)),u(e,X0)) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X0) )
| ( sK1(p(e),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = e ) ),
inference(superposition,[status(thm)],[c_15851,c_9210]) ).
tcf(c_28402,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ( sK1(s(sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1)),u(e,X1)) = sK1(s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),X1) )
| ( sK1(s(X0),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = X0 ) ),
inference(superposition,[status(thm)],[c_15851,c_5962]) ).
tcf(c_28403,plain,
! [X0: $i,X1: $i] :
( subq(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) = X0 )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0)))),u(e,p(s(X0)))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(s(X0))) ) ),
inference(superposition,[status(thm)],[c_15851,c_8225]) ).
tcf(c_28404,plain,
sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))),u(e,p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),
inference(superposition,[status(thm)],[c_15851,c_23392]) ).
tcf(c_28405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X3,X2))
| ( sK1(s(sK1(u(s(X0),X1),X2)),u(e,X2)) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3903]) ).
tcf(c_28406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,u(X2,X3))
| ( sK1(s(sK1(u(s(X0),X1),X2)),u(e,X2)) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2228]) ).
tcf(c_28407,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ( sK1(s(sK1(u(s(X0),X1),X2)),u(e,X2)) = sK1(u(s(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_1878]) ).
tcf(c_28408,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = sK1(p(e),X0) )
| ( sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0)))),u(e,p(sK1(p(e),X0)))) = sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),p(sK1(p(e),X0))) ) ),
inference(superposition,[status(thm)],[c_15851,c_1458]) ).
tcf(c_28409,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ( sK1(s(sK1(p(X0),p(e))),u(e,p(e))) = sK1(p(X0),p(e)) ) ),
inference(superposition,[status(thm)],[c_15851,c_1495]) ).
tcf(c_28411,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1)),u(e,X1)) = sK1(u(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1811]) ).
tcf(c_28412,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)),u(e,X1)) = sK1(u(X0,sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_2747]) ).
tcf(c_28413,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ( sK1(s(sK1(sK1(X0,u(p(X1),X2)),X1)),u(e,X1)) = sK1(sK1(X0,u(p(X1),X2)),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1777]) ).
tcf(c_28414,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ( sK1(s(sK1(u(X0,X1),X0)),u(e,X0)) = sK1(u(X0,X1),X0) ) ),
inference(superposition,[status(thm)],[c_15851,c_1807]) ).
tcf(c_28415,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(e,X1)) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_3908]) ).
tcf(c_28416,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(e,X1)) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1954]) ).
tcf(c_28417,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1)),u(e,X1)) = sK1(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_1812]) ).
tcf(c_28418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(sK1(u(p(X0),X1),X2)),u(e,X2)) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3909]) ).
tcf(c_28419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(sK1(u(p(X0),X1),X2)),u(e,X2)) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3124]) ).
tcf(c_28420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(p(X1),X2),X3)),u(e,X3)) = sK1(u(p(X1),X2),X3) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_4111]) ).
tcf(c_28421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(p(X1),X2),X3)),u(e,X3)) = sK1(u(p(X1),X2),X3) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15851,c_1937]) ).
tcf(c_28422,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(p(X0),X1),X2)),u(e,X2)) = sK1(u(p(X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2868]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(X2,X1),X3),X4)),u(e,X4)) = sK1(u(u(X2,X1),X3),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_12125]) ).
tcf(c_28424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(X1,X2),X3),X4)),u(e,X4)) = sK1(u(u(X1,X2),X3),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_12057]) ).
tcf(c_28425,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2)),u(e,X2)) = sK1(u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2000]) ).
tcf(c_28426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(u(s(X0),X1),X2),X3)),u(e,X3)) = sK1(u(u(s(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_2287]) ).
tcf(c_28427,plain,
( ( sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) = s(u(u(e,s(e)),s(u(e,s(e))))) )
| ( sK1(s(sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(e,p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) = sK1(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ) ),
inference(superposition,[status(thm)],[c_15851,c_2496]) ).
tcf(c_28428,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X2,X1))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(e,X1)) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_3913]) ).
tcf(c_28429,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(X1,X2))
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(e,X1)) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_2931]) ).
tcf(c_28430,plain,
! [X0: $i,X1: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X1)
| ( sK1(s(sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1)),u(e,X1)) = sK1(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_2750]) ).
tcf(c_28431,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,p(X2)))
| ( sK1(s(sK1(sK1(X0,u(X1,p(X2))),X2)),u(e,X2)) = sK1(sK1(X0,u(X1,p(X2))),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2699]) ).
tcf(c_28432,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X1 )
| ( sK1(s(sK1(u(X0,X1),X1)),u(e,X1)) = sK1(u(X0,X1),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_2741]) ).
tcf(c_28433,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X2)
| ( sK1(s(sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2)),u(e,X2)) = sK1(u(u(X0,u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X1),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2749]) ).
tcf(c_28434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X3,X2))
| ( sK1(s(sK1(u(X0,s(X1)),X2)),u(e,X2)) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3916]) ).
tcf(c_28435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,u(X2,X3))
| ( sK1(s(sK1(u(X0,s(X1)),X2)),u(e,X2)) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3140]) ).
tcf(c_28436,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X1,X2)
| ( sK1(s(sK1(u(X0,s(X1)),X2)),u(e,X2)) = sK1(u(X0,s(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2872]) ).
tcf(c_28437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X3,X2))
| ( sK1(s(sK1(u(X0,p(X1)),X2)),u(e,X2)) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3917]) ).
tcf(c_28438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,u(X2,X3))
| ( sK1(s(sK1(u(X0,p(X1)),X2)),u(e,X2)) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_3160]) ).
tcf(c_28439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X2,p(X1)),X3)),u(e,X3)) = sK1(u(X2,p(X1)),X3) )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_5862]) ).
tcf(c_28440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X3)
| ( sK1(s(sK1(u(X1,p(X2)),X3)),u(e,X3)) = sK1(u(X1,p(X2)),X3) )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_15851,c_4798]) ).
tcf(c_28441,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X2)
| ( sK1(s(sK1(u(X0,p(X1)),X2)),u(e,X2)) = sK1(u(X0,p(X1)),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_2877]) ).
tcf(c_28442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(sK1(u(X0,u(s(X1),X2)),X3)),u(e,X3)) = sK1(u(X0,u(s(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3187]) ).
tcf(c_28443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(p(X0),X1),X2),X3)),u(e,X3)) = sK1(u(u(p(X0),X1),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3197]) ).
tcf(c_28444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(p(X1),X2)),X3)),u(e,X3)) = sK1(u(X0,u(p(X1),X2)),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3222]) ).
tcf(c_28445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X1,X3)
| ( sK1(s(sK1(u(u(X0,s(X1)),X2),X3)),u(e,X3)) = sK1(u(u(X0,s(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3587]) ).
tcf(c_28446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X2,X3)
| ( sK1(s(sK1(u(X0,u(X1,s(X2))),X3)),u(e,X3)) = sK1(u(X0,u(X1,s(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3604]) ).
tcf(c_28447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(u(X0,p(X1)),X2),X3)),u(e,X3)) = sK1(u(u(X0,p(X1)),X2),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3609]) ).
tcf(c_28448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(e,X3)
| ( sK1(s(sK1(u(X0,u(X1,p(X2))),X3)),u(e,X3)) = sK1(u(X0,u(X1,p(X2))),X3) ) ),
inference(superposition,[status(thm)],[c_15851,c_3614]) ).
tcf(c_28449,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(s(sK1(X0,u(X1,X2))),X1)),u(e,X1)) = sK1(s(sK1(X0,u(X1,X2))),X1) ) ),
inference(superposition,[status(thm)],[c_15851,c_4135]) ).
tcf(c_28450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(X2,u(X3,X1)),X4)),u(e,X4)) = sK1(u(X2,u(X3,X1)),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_12141]) ).
tcf(c_28451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(X2,u(X1,X3)),X4)),u(e,X4)) = sK1(u(X2,u(X1,X3)),X4) )
| ~ mem(X0,X1) ),
inference(superposition,[status(thm)],[c_15851,c_12074]) ).
tcf(c_28452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X0,X4)
| ( sK1(s(sK1(u(u(u(s(X0),X1),X2),X3),X4)),u(e,X4)) = sK1(u(u(u(s(X0),X1),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_4788]) ).
tcf(c_28453,plain,
! [X0: $i] :
( subq(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),X0)
| subq(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ( sK1(s(sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0))),u(e,p(X0))) = sK1(s(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_5105]) ).
tcf(c_28454,plain,
! [X0: $i] :
( subq(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),X0)
| subq(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(p(sK2(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| ( sK1(s(sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0))),u(e,p(X0))) = sK1(s(sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_5106]) ).
tcf(c_28455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(X0,u(u(s(X1),X2),X3)),X4)),u(e,X4)) = sK1(u(X0,u(u(s(X1),X2),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_5893]) ).
tcf(c_28456,plain,
! [X0: $i] :
( subq(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),X0)
| subq(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ( sK1(s(sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0))),u(e,p(X0))) = sK1(s(sK1(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),p(X0)) ) ),
inference(superposition,[status(thm)],[c_15851,c_5930]) ).
tcf(c_28457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(u(X0,u(s(X1),X2)),X3),X4)),u(e,X4)) = sK1(u(u(X0,u(s(X1),X2)),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_8480]) ).
tcf(c_28458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(s(X2),X3))),X4)),u(e,X4)) = sK1(u(X0,u(X1,u(s(X2),X3))),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_8494]) ).
tcf(c_28459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(u(p(X0),X1),X2),X3),X4)),u(e,X4)) = sK1(u(u(u(p(X0),X1),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9156]) ).
tcf(c_28460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(u(p(X1),X2),X3)),X4)),u(e,X4)) = sK1(u(X0,u(u(p(X1),X2),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9160]) ).
tcf(c_28461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(X0,u(p(X1),X2)),X3),X4)),u(e,X4)) = sK1(u(u(X0,u(p(X1),X2)),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9164]) ).
tcf(c_28462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(p(X2),X3))),X4)),u(e,X4)) = sK1(u(X0,u(X1,u(p(X2),X3))),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9778]) ).
tcf(c_28463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X1,X4)
| ( sK1(s(sK1(u(u(u(X0,s(X1)),X2),X3),X4)),u(e,X4)) = sK1(u(u(u(X0,s(X1)),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9782]) ).
tcf(c_28464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(X0,u(u(X1,s(X2)),X3)),X4)),u(e,X4)) = sK1(u(X0,u(u(X1,s(X2)),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9787]) ).
tcf(c_28465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X2,X4)
| ( sK1(s(sK1(u(u(X0,u(X1,s(X2))),X3),X4)),u(e,X4)) = sK1(u(u(X0,u(X1,s(X2))),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_9792]) ).
tcf(c_28466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(X3,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(X2,s(X3)))),X4)),u(e,X4)) = sK1(u(X0,u(X1,u(X2,s(X3)))),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_10533]) ).
tcf(c_28467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(u(X0,p(X1)),X2),X3),X4)),u(e,X4)) = sK1(u(u(u(X0,p(X1)),X2),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_10538]) ).
tcf(c_28468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(u(X1,p(X2)),X3)),X4)),u(e,X4)) = sK1(u(X0,u(u(X1,p(X2)),X3)),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_10543]) ).
tcf(c_28469,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ( sK1(s(sK1(s(sK1(X0,u(X1,X2))),X2)),u(e,X2)) = sK1(s(sK1(X0,u(X1,X2))),X2) ) ),
inference(superposition,[status(thm)],[c_15851,c_10552]) ).
tcf(c_28470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(u(X0,u(X1,p(X2))),X3),X4)),u(e,X4)) = sK1(u(u(X0,u(X1,p(X2))),X3),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_11348]) ).
tcf(c_28471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(e,X4)
| ( sK1(s(sK1(u(X0,u(X1,u(X2,p(X3)))),X4)),u(e,X4)) = sK1(u(X0,u(X1,u(X2,p(X3)))),X4) ) ),
inference(superposition,[status(thm)],[c_15851,c_11353]) ).
tcf(c_29462,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_28471,c_28470,c_28469,c_28468,c_28467,c_28466,c_28465,c_28464,c_28463,c_28462,c_28461,c_28460,c_28459,c_28458,c_28457,c_28456,c_28455,c_28454,c_28453,c_28452,c_28451,c_28450,c_28449,c_28448,c_28447,c_28446,c_28445,c_28444,c_28443,c_28442,c_28441,c_28440,c_28439,c_28438,c_28437,c_28436,c_28435,c_28434,c_28433,c_28432,c_28431,c_28430,c_28429,c_28428,c_28427,c_28426,c_28425,c_28424,c_28423,c_28422,c_28421,c_28420,c_28419,c_28418,c_28417,c_28416,c_28415,c_28414,c_28413,c_28412,c_28411,c_28409,c_28408,c_28407,c_28406,c_28405,c_28404,c_28403,c_28402,c_28401,c_28400,c_28399,c_28398,c_28397,c_28394,c_28393,c_28392,c_28391,c_28390,c_28389,c_28388,c_28387,c_28386,c_28385,c_28383,c_28382,c_28381,c_28380,c_28379,c_28378,c_28377,c_28376,c_28375,c_28374,c_28373,c_28372,c_28371,c_28370,c_28369,c_28368,c_28367,c_28366,c_28365,c_28364,c_28362,c_28361,c_28360,c_28359,c_28358,c_28357,c_28356,c_28355,c_28354,c_28353,c_28352,c_28351,c_28350,c_28349,c_28348,c_28347,c_28346,c_28345,c_28344,c_28343,c_28342,c_28340,c_28339,c_28338,c_28337,c_28335,c_28334,c_28333,c_28332,c_28331,c_28330,c_28329,c_28328,c_28327,c_28326,c_28325,c_28324,c_28323,c_28322,c_28220,c_28219,c_28218,c_28217,c_28216,c_28215,c_28214,c_28213,c_28212,c_28211,c_28210,c_28209,c_28208,c_28207,c_28206,c_28205,c_28204,c_28203,c_28202,c_28201,c_28200,c_28198,c_28197,c_28195,c_28194,c_28193,c_28192,c_28191,c_28190,c_28189,c_28188,c_28187,c_28164,c_28163,c_28162,c_28161,c_28146,c_28145,c_28142,c_28141,c_28136,c_28135,c_28133,c_28132,c_28131,c_28130,c_28129,c_28119,c_28002,c_28001,c_28000,c_27999,c_27998,c_27997,c_27996,c_27995,c_27994,c_27993,c_27991,c_27990,c_27989,c_27988,c_27987,c_27767,c_27766,c_27765,c_27764,c_27763,c_27762,c_27761,c_27760,c_27759,c_27758,c_27756,c_27755,c_27754,c_27753,c_27752,c_27726,c_27725,c_27724,c_27723,c_27722,c_27721,c_27720,c_27719,c_27718,c_27624,c_27623,c_27616,c_27615,c_27613,c_27612,c_27611,c_27610,c_27609,c_27590,c_27589,c_27588,c_27576,c_27575,c_27574,c_27555,c_27554,c_27553,c_27552,c_26624,c_26623,c_26622,c_26621,c_26620,c_26619,c_26618,c_26617,c_26616,c_26615,c_26614,c_26613,c_26612,c_26611,c_26610,c_26609,c_26608,c_26607,c_26606,c_26605,c_26604,c_26603,c_26602,c_26601,c_26600,c_26599,c_26598,c_26597,c_26596,c_26595,c_26594,c_26593,c_26592,c_26591,c_26590,c_26589,c_26588,c_26587,c_26586,c_26585,c_26584,c_26583,c_26582,c_26581,c_26580,c_26579,c_26578,c_26577,c_26576,c_26575,c_26574,c_26573,c_26572,c_26571,c_26570,c_26569,c_26568,c_26567,c_26566,c_26565,c_26564,c_26563,c_26562,c_26561,c_26560,c_26559,c_26558,c_26557,c_26556,c_26555,c_26554,c_26553,c_26552,c_26551,c_26550,c_26549,c_26548,c_26547,c_26546,c_26545,c_26544,c_26543,c_26542,c_26541,c_26540,c_26539,c_26538,c_26537,c_26536,c_26535,c_26534,c_26533,c_26532,c_26531,c_26530,c_26529,c_26528,c_26527,c_26526,c_26525,c_26524,c_26523,c_26522,c_26521,c_26520,c_26519,c_26518,c_26517,c_26516,c_26515,c_26514,c_26513,c_26512,c_26511,c_26510,c_26509,c_26508,c_26507,c_26506,c_26505,c_26504,c_26503,c_26502,c_26501,c_26500,c_26499,c_26498,c_26497,c_26496,c_26495,c_26494,c_26493,c_26492,c_26490,c_26489,c_26488,c_26487,c_26486,c_26485,c_26484,c_26483,c_26482,c_26481,c_26480,c_26479,c_26478,c_25436,c_25435,c_25434,c_25433,c_25432,c_25430,c_25429,c_25426,c_25425,c_25424,c_25423,c_25422,c_25421,c_25419,c_25418,c_25417,c_25416,c_25415,c_25414,c_25413,c_25412,c_25411,c_25410,c_25409,c_25408,c_25407,c_25406,c_25405,c_25404,c_25403,c_25402,c_25401,c_25400,c_25399,c_25398,c_25397,c_25396,c_25395,c_25394,c_25393,c_25392,c_25391,c_25390,c_25389,c_25388,c_25387,c_25386,c_25385,c_25384,c_25383,c_25382,c_25381,c_25380,c_25379,c_25378,c_25377,c_25376,c_25374,c_25373,c_25372,c_25371,c_25370,c_25369,c_25368,c_25367,c_25366,c_25365,c_25364,c_25363,c_25362,c_25361,c_25360,c_25359,c_25358,c_25357,c_25356,c_25355,c_25354,c_25353,c_25352,c_25351,c_25350,c_25349,c_25348,c_25347,c_25346,c_25345,c_25344,c_25343,c_25342,c_25341,c_25340,c_25339,c_25338,c_25337,c_25336,c_25335,c_25334,c_25333,c_25331,c_25330,c_25329,c_25328,c_25327,c_25326,c_25325,c_25324,c_25323,c_25322,c_25321,c_25320,c_25319,c_25318,c_25317,c_25316,c_25315,c_25314,c_25313,c_25312,c_25311,c_25310,c_25309,c_25308,c_25307,c_25306,c_25305,c_25304,c_25303,c_25302,c_25301,c_25300,c_25299,c_25298,c_25297,c_25296,c_25295,c_25294,c_25293,c_25292,c_25290,c_25289,c_25288,c_25285,c_25284,c_25283,c_25282,c_25281,c_25280,c_25279,c_25278,c_25277,c_25276,c_25275,c_25274,c_25273,c_24242,c_24241,c_24240,c_24239,c_24238,c_24236,c_24235,c_24233,c_24232,c_24231,c_24230,c_24229,c_24228,c_24227,c_24225,c_24224,c_24223,c_24222,c_24221,c_24220,c_24219,c_24218,c_24217,c_24216,c_24215,c_24214,c_24213,c_24212,c_24211,c_24210,c_24209,c_24208,c_24207,c_24206,c_24205,c_24204,c_24203,c_24202,c_24201,c_24200,c_24199,c_24198,c_24197,c_24196,c_24195,c_24194,c_24193,c_24192,c_24191,c_24190,c_24189,c_24188,c_24187,c_24186,c_24185,c_24184,c_24183,c_24182,c_24180,c_24179,c_24178,c_24177,c_24176,c_24175,c_24174,c_24173,c_24172,c_24171,c_24170,c_24169,c_24168,c_24167,c_24166,c_24165,c_24164,c_24163,c_24162,c_24161,c_24160,c_24159,c_24158,c_24157,c_24156,c_24155,c_24154,c_24153,c_24152,c_24151,c_24150,c_24149,c_24148,c_24147,c_24146,c_24145,c_24144,c_24143,c_24142,c_24141,c_24140,c_24139,c_24137,c_24136,c_24135,c_24134,c_24133,c_24132,c_24131,c_24130,c_24129,c_24128,c_24127,c_24126,c_24125,c_24124,c_24123,c_24122,c_24121,c_24120,c_24119,c_24118,c_24117,c_24116,c_24115,c_24114,c_24113,c_24112,c_24111,c_24110,c_24109,c_24108,c_24107,c_24106,c_24105,c_24104,c_24103,c_24102,c_24101,c_24100,c_24099,c_24098,c_24096,c_24095,c_24094,c_24091,c_24090,c_24089,c_24088,c_24087,c_24086,c_24085,c_24084,c_24083,c_24082,c_24081,c_24080,c_24079,c_24048,c_24047,c_24046,c_24044,c_24042,c_24038,c_24037,c_24036,c_24015,c_24014,c_24013,c_24012,c_23898,c_23897,c_23894,c_23893,c_23890,c_23888,c_23887,c_23886,c_23838,c_23836,c_23835,c_23834,c_23686,c_23685,c_23683,c_23676,c_23675,c_23674,c_23673,c_23672,c_23671,c_23670,c_23669,c_23668,c_23667,c_23665,c_23608,c_23602,c_23599,c_23598,c_23597,c_23595,c_23510,c_23509,c_23504,c_23501,c_23500,c_23499,c_23498,c_23497,c_23491,c_23489,c_23488,c_23487,c_23408,c_23405,c_23393,c_23386,c_23383,c_23382,c_23381,c_23379,c_23345,c_23341,c_23340,c_23315,c_23314,c_23312,c_23311,c_23310,c_23248,c_23247,c_23245,c_23244,c_23243,c_23224,c_23221,c_23220,c_23219,c_23200,c_23197,c_23196,c_23195,c_23162,c_23161,c_23160,c_23158,c_23156,c_23152,c_23151,c_23150,c_23028,c_23027,c_23026,c_23025,c_23024,c_23023,c_23022,c_23021,c_23016,c_23015,c_23014,c_23012,c_23011,c_23009,c_23008,c_23004,c_23003,c_23002,c_23001,c_22758,c_22757,c_22756,c_22755,c_22754,c_22753,c_22752,c_22751,c_22749,c_22744,c_22741,c_22734,c_22732,c_22731,c_22487,c_22486,c_22485,c_22484,c_22483,c_22482,c_22481,c_22480,c_22478,c_22474,c_22473,c_22471,c_22470,c_22464,c_22463,c_22462,c_22461,c_22460,c_22428,c_22427,c_22426,c_22425,c_22359,c_22358,c_22357,c_22356,c_22353,c_22352,c_22351,c_22350,c_22349,c_22346,c_22345,c_22344,c_22343,c_22323,c_22322,c_22321,c_22291,c_22290,c_22289,c_22261,c_22260,c_22259,c_22258,c_22207,c_22206,c_22205,c_22204,c_22203,c_22202,c_22201,c_22200,c_22179,c_22178,c_22177,c_22176,c_22146,c_22143,c_22142,c_22141,c_22110,c_22107,c_22106,c_22105,c_22086,c_22082,c_22081,c_22080,c_21941,c_21940,c_21939,c_21938,c_21935,c_21933,c_21932,c_21931,c_21930,c_21929,c_21786,c_21785,c_21784,c_21783,c_21780,c_21778,c_21777,c_21776,c_21775,c_21774,c_21615,c_21614,c_21613,c_21612,c_21609,c_21607,c_21606,c_21605,c_21604,c_21603,c_21472,c_21471,c_21470,c_21469,c_21466,c_21464,c_21463,c_21462,c_21461,c_21460,c_21439,c_21438,c_21437,c_21436,c_21200,c_21199,c_21198,c_21197,c_21196,c_21194,c_21193,c_21192,c_21191,c_21190,c_21189,c_21188,c_21187,c_21186,c_21183,c_21182,c_21181,c_21180,c_21178,c_21177,c_21175,c_21174,c_21173,c_21122,c_21121,c_21120,c_21119,c_21118,c_21117,c_21116,c_21086,c_21085,c_21084,c_21083,c_20995,c_20994,c_20993,c_20992,c_20991,c_20990,c_20989,c_20988,c_20953,c_20952,c_20951,c_20950,c_20846,c_20845,c_20844,c_20843,c_20842,c_20840,c_20839,c_20838,c_20837,c_20836,c_20835,c_20834,c_20833,c_20832,c_20829,c_20828,c_20827,c_20826,c_20824,c_20823,c_20821,c_20820,c_20819,c_20803,c_20802,c_20799,c_20798,c_20796,c_20795,c_20794,c_20784,c_20783,c_20781,c_20778,c_20777,c_20776,c_20775,c_20737,c_20734,c_20733,c_20731,c_20730,c_20722,c_20720,c_20717,c_20716,c_20715,c_20693,c_20692,c_20691,c_20690,c_20688,c_20687,c_20685,c_20684,c_20683,c_20682,c_20656,c_20655,c_20654,c_20653,c_20651,c_20650,c_20649,c_20647,c_20646,c_20645,c_20600,c_20599,c_20598,c_20597,c_20593,c_20591,c_20587,c_20463,c_20460,c_20459,c_20458,c_20457,c_20456,c_20455,c_20454,c_20453,c_20452,c_20451,c_20450,c_20444,c_20442,c_20441,c_20440,c_20438,c_20352,c_20351,c_20350,c_20349,c_20348,c_20347,c_20346,c_20345,c_20344,c_20343,c_20342,c_20341,c_20340,c_20339,c_20338,c_20289,c_20288,c_20287,c_20286,c_20285,c_20284,c_20283,c_20263,c_20262,c_20261,c_20243,c_20242,c_20241,c_20195,c_20194,c_20193,c_20192,c_20174,c_20173,c_20172,c_20171,c_20134,c_20133,c_20132,c_20131,c_20130,c_20129,c_20128,c_20059,c_20058,c_20057,c_20056,c_20055,c_20054,c_20053,c_20025,c_20024,c_20023,c_20022,c_20003,c_20000,c_19999,c_19998,c_19953,c_19952,c_19951,c_19936,c_19935,c_19932,c_19931,c_19918,c_19917,c_19916,c_19914,c_19875,c_19874,c_19873,c_19872,c_19871,c_19842,c_19841,c_19838,c_19836,c_19835,c_19834,c_19833,c_19808,c_19807,c_19806,c_19805,c_19804,c_19803,c_19697,c_19695,c_19694,c_19693,c_19692,c_19691,c_19690,c_19689,c_19688,c_19687,c_19686,c_19685,c_19684,c_19683,c_19634,c_19633,c_19632,c_19631,c_19630,c_19629,c_19611,c_19610,c_19609,c_19608,c_19516,c_19515,c_19514,c_19513,c_19512,c_19511,c_19510,c_19451,c_19450,c_19449,c_19448,c_19447,c_19446,c_19445,c_19429,c_19428,c_19427,c_19312,c_19311,c_19310,c_19309,c_19306,c_19305,c_19304,c_19303,c_19302,c_19299,c_19298,c_19297,c_19296,c_19223,c_19222,c_19221,c_19220,c_19217,c_19216,c_19215,c_19214,c_19213,c_19210,c_19209,c_19208,c_19207,c_19130,c_19129,c_19128,c_19112,c_19111,c_19110,c_19070,c_19069,c_19068,c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c_3418,c_3417,c_3390,c_3389,c_3388,c_3386,c_3385,c_3352,c_3351,c_3350,c_3349,c_3348,c_3347,c_3321,c_3320,c_3268,c_3267,c_3249,c_3248,c_3247,c_3234,c_3231,c_3222,c_3197,c_3192,c_3187,c_3179,c_3178,c_3177,c_3162,c_3161,c_3160,c_3158,c_3157,c_3142,c_3141,c_3140,c_3138,c_3137,c_3126,c_3125,c_3124,c_3122,c_3121,c_3044,c_3041,c_3040,c_3026,c_3024,c_3022,c_3002,c_3001,c_3000,c_2997,c_2974,c_2961,c_2933,c_2932,c_2931,c_2930,c_2929,c_2928,c_2909,c_2907,c_2905,c_2883,c_2882,c_2877,c_2872,c_2868,c_2759,c_2758,c_2757,c_2756,c_2755,c_2754,c_2753,c_2750,c_2749,c_2748,c_2747,c_2746,c_2745,c_2744,c_2743,c_2742,c_2741,c_2740,c_2701,c_2700,c_2699,c_2698,c_2697,c_2696,c_2695,c_2694,c_2652,c_2651,c_2649,c_2648,c_2622,c_2621,c_2619,c_2618,c_2497,c_2496,c_2495,c_2494,c_2493,c_2492,c_2491,c_2489,c_2488,c_2487,c_2486,c_2485,c_2484,c_2483,c_2482,c_2481,c_2465,c_2464,c_2462,c_2437,c_2436,c_2433,c_2416,c_2414,c_2413,c_2394,c_2393,c_2391,c_2390,c_2375,c_2374,c_2373,c_2372,c_2371,c_2337,c_2336,c_2325,c_2322,c_2321,c_2302,c_2299,c_2297,c_2296,c_2287,c_2283,c_2282,c_2278,c_2269,c_2268,c_2267,c_2229,c_2228,c_2226,c_2225,c_2201,c_2200,c_2199,c_2198,c_2196,c_2195,c_2174,c_2172,c_2160,c_2159,c_2158,c_2157,c_2155,c_2125,c_2124,c_2123,c_2122,c_2121,c_2044,c_2043,c_2042,c_2041,c_2040,c_2039,c_2038,c_2037,c_2036,c_2035,c_2034,c_2023,c_2019,c_2000,c_1999,c_1997,c_1955,c_1954,c_1953,c_1952,c_1951,c_1939,c_1937,c_1894,c_1893,c_1892,c_1891,c_1890,c_1889,c_1888,c_1887,c_1878,c_1813,c_1812,c_1811,c_1810,c_1809,c_1808,c_1807,c_1806,c_1778,c_1777,c_1776,c_1775,c_1774,c_1773,c_1772,c_1758,c_1757,c_1741,c_1740,c_1719,c_1655,c_1654,c_1653,c_1652,c_1651,c_1650,c_1649,c_1648,c_1645,c_1644,c_1628,c_1626,c_1625,c_1614,c_1603,c_1601,c_1600,c_1586,c_1579,c_1577,c_1576,c_1569,c_1567,c_1566,c_1543,c_1530,c_1529,c_1528,c_1525,c_1514,c_1513,c_1496,c_1495,c_1458,c_1455,c_1454,c_1430,c_1428,c_1405,c_1404,c_1402,c_1399,c_1365,c_1364,c_1363,c_1361,c_1360,c_1359,c_1253,c_1252,c_1251,c_1250,c_1249,c_1248,c_1247,c_1246,c_1245,c_1244,c_1243,c_1242,c_1241,c_1240,c_1239,c_1238,c_1237,c_1226,c_1225,c_1209,c_1206,c_1205,c_1180,c_1179,c_1168,c_1139,c_1138,c_1133,c_19921,c_1106,c_1105,c_1104,c_1103,c_1102,c_1101,c_1085,c_1084,c_1083,c_1071,c_1069,c_1046,c_1044,c_1043,c_1023,c_1022,c_1019,c_999,c_998,c_997,c_996,c_987,c_963,c_962,c_961,c_960,c_936,c_935,c_934,c_933,c_932,c_931,c_918,c_910,c_902,c_901,c_892,c_880,c_2175,c_873,c_323,c_318,c_310,c_300,c_20449,c_66,c_65,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_52,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV552+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 14:58:54 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 0.23/0.52
% 0.23/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.52
% 0.23/0.53 % Detected problem language: tptp
% 0.23/0.55 % Proving...
% 55.47/8.65 % SZS status Started for theBenchmark.p
% 55.47/8.65 % SZS status Theorem for theBenchmark.p
% 55.47/8.65
% 55.47/8.65 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 55.47/8.65
% 55.47/8.65 % ------ iProver source info
% 55.47/8.65
% 55.47/8.65 % git: date: 2026-07-19 20:42:38 +0200
% 55.47/8.65 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 55.47/8.65 % git: non_committed_changes: false
% 55.47/8.65
% 55.47/8.65 % ------ Parsing...
% 55.47/8.65 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 55.47/8.65
% 55.47/8.65 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 55.47/8.65
% 55.47/8.65 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 55.47/8.65
% 55.47/8.65 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.47/8.65 % ------ Proving...
% 55.47/8.65 % ------ Problem Properties
% 55.47/8.65
% 55.47/8.65 %
% 55.47/8.65 % clauses 16
% 55.47/8.65 % conjectures 0
% 55.47/8.65 % EPR 3
% 55.47/8.65 % Horn 14
% 55.47/8.65 % unary 6
% 55.47/8.65 % binary 7
% 55.47/8.65 % lits 29
% 55.47/8.65 % lits eq 2
% 55.47/8.65 % fd_pure 0
% 55.47/8.65 % fd_pseudo 0
% 55.47/8.65 % fd_cond 0
% 55.47/8.65 % fd_pseudo_cond 2
% 55.47/8.65 % AC symbols 0
% 55.47/8.65
% 55.47/8.65 % ------ Schedule dynamic 5 is on
% 55.47/8.65
% 55.47/8.65 % ------ no conjectures: strip conj schedule
% 55.47/8.65
% 55.47/8.65 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 55.47/8.65
% 55.47/8.65
% 55.47/8.65 % ------
% 55.47/8.65 % Current options:
% 55.47/8.65 % ------
% 55.47/8.65
% 55.47/8.65
% 55.47/8.65 %
% 55.47/8.65
% 55.47/8.65 % ------ Proving...
% 55.47/8.65 %
% 55.47/8.65
% 55.47/8.65 % SZS status Theorem for theBenchmark.p
% 55.47/8.65
% 55.47/8.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.05/8.73
% 56.05/8.73
%------------------------------------------------------------------------------