iProver---3.9.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEV536+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.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 03:02:21 PM UTC 2026

% Result   : Theorem 157.39s 22.48s
% Output   : CNFRefutation 158.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   31
% Syntax   : Number of formulae    : 14402 (1068 unt;  13 def)
%            Number of atoms       : 110703 (12976 equ)
%            Maximal formula atoms :    7 (   7 avg)
%            Number of connectives : 39461 (11915   ~;27504   |;  27   &)
%                                         (   9 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;  14 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   : 19317 (   0 sgn19309   !;   8   ?;19199   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X0)
         => mem(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',subq_def) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subq(X0,X1)
     => ( subq(X1,X0)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',setext) ).

fof(f4,axiom,
    ! [X0] : ~ mem(X0,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',e_ax) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( mem(X0,s(X1))
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET010+0.ax',u_ax) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( mem(X0,m(X1,X2))
    <=> ( ~ mem(X0,X2)
        & mem(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',m_ax) ).

fof(f8,axiom,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',a_def) ).

fof(f9,axiom,
    ! [X0] : n(X0) = a(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',n_def) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( mem(X0,p(X1))
    <=> subq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',p_ax) ).

fof(f11,axiom,
    ! [X0] :
      ( atleast2p(X0)
    <=> ? [X1] :
          ( ~ subq(X0,p(X1))
          & mem(X1,X0) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET010+0.ax',atleast3p_def) ).

fof(f13,axiom,
    ! [X0] :
      ( atleast4p(X0)
    <=> ? [X1] :
          ( ~ subq(X0,X1)
          & atleast3p(X1)
          & subq(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',atleast4p_def) ).

fof(f26,conjecture,
    atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(s(n(e)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast4_62) ).

fof(f27,negated_conjecture,
    ~ atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(s(n(e)))))),
    inference(negated_conjecture,[status(cth)],[f26]) ).

fof(f28,plain,
    ~ atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(s(n(e)))))),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subq(X0,X1)
          & atleast3p(X1)
          & subq(X1,X0) )
     => atleast4p(X0) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subq(X0,X1)
          & atleast2p(X1)
          & subq(X1,X0) )
     => atleast3p(X0) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ subq(X0,p(X1))
          & mem(X1,X0) )
     => atleast2p(X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

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] :
      ( ! [X1] :
          ( subq(X0,p(X1))
          | ~ mem(X1,X0) )
      | atleast2p(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f36,plain,
    ! [X0] :
      ( ! [X1] :
          ( subq(X0,X1)
          | ~ atleast2p(X1)
          | ~ subq(X1,X0) )
      | atleast3p(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f37,plain,
    ! [X0] :
      ( ! [X1] :
          ( subq(X0,X1)
          | ~ atleast3p(X1)
          | ~ subq(X1,X0) )
      | atleast4p(X0) ),
    inference(ennf_transformation,[],[f29]) ).

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(sK0(X0,X1),X0)
          & ~ mem(sK0(X0,X1),X1) )
        | subq(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f39]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( ~ mem(X0,s(X1))
        | X0 = X1 )
      & ( X0 != X1
        | mem(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f5]) ).

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(nnf_transformation,[],[f6]) ).

fof(f43,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,[],[f42]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( ~ mem(X0,m(X1,X2))
        | ( ~ mem(X0,X2)
          & mem(X0,X1) ) )
      & ( mem(X0,X2)
        | ~ mem(X0,X1)
        | mem(X0,m(X1,X2)) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( ~ mem(X0,m(X1,X2))
        | ( ~ mem(X0,X2)
          & mem(X0,X1) ) )
      & ( mem(X0,X2)
        | ~ mem(X0,X1)
        | mem(X0,m(X1,X2)) ) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( ~ mem(X0,p(X1))
        | subq(X0,X1) )
      & ( ~ subq(X0,X1)
        | mem(X0,p(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f47,plain,
    ! [X3,X0,X1] :
      ( ~ subq(X0,X1)
      | ~ mem(X3,X0)
      | mem(X3,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),X0)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ mem(sK0(X0,X1),X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ subq(X0,X1)
      | ~ subq(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f51,plain,
    ! [X0] : ~ mem(X0,e),
    inference(cnf_transformation,[],[f4]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ mem(X0,s(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( X0 != X1
      | mem(X0,s(X1)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,u(X1,X2))
      | mem(X0,X2)
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,X2)
      | mem(X0,u(X1,X2)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,X1)
      | mem(X0,u(X1,X2)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,m(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,m(X1,X2))
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( mem(X0,X2)
      | ~ mem(X0,X1)
      | mem(X0,m(X1,X2)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f60,plain,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    inference(cnf_transformation,[],[f8]) ).

fof(f61,plain,
    ! [X0] : n(X0) = a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ mem(X0,p(X1))
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ subq(X0,X1)
      | mem(X0,p(X1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( subq(X0,p(X1))
      | ~ mem(X1,X0)
      | atleast2p(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
      | ~ atleast2p(X1)
      | ~ subq(X1,X0)
      | atleast3p(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
      | ~ atleast3p(X1)
      | ~ subq(X1,X0)
      | atleast4p(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f67,plain,
    ~ atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(s(n(e)))))),
    inference(cnf_transformation,[],[f28]) ).

fof(f68,plain,
    ! [X0] : n(X0) = u(X0,s(X0)),
    inference(definition_unfolding,[],[f61,f60]) ).

fof(f69,plain,
    ~ atleast4p(u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(p(s(u(e,s(e)))))))),
    inference(definition_unfolding,[],[f67,f60,f68,f68,f68,f60,f68,f68,f68]) ).

fof(f70,plain,
    ! [X1] : mem(X1,s(X1)),
    inference(equality_resolution,[],[f53]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ~ mem(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,X1)
      | ~ mem(X2,X0)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_53,plain,
    ! [X0: $i] : ~ mem(X0,e),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_54,plain,
    ! [X0: $i] : mem(X0,s(X0)),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ mem(X0,s(X1)) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,u(X2,X1))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | mem(X0,X1)
      | ~ mem(X0,u(X1,X2)) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | mem(X0,m(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | ~ mem(X0,m(X1,X2)) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ mem(X0,X2)
      | ~ mem(X0,m(X1,X2)) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,p(X1))
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ~ mem(X0,p(X1)) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | subq(X1,p(X0))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X1)
      | subq(X1,X0)
      | ~ atleast2p(X0)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( atleast4p(X1)
      | subq(X1,X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_67,negated_conjecture,
    ~ atleast4p(u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(p(s(u(e,s(e)))))))),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_68,plain,
    mem(e,s(e)),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_69,plain,
    ~ mem(e,e),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_71,plain,
    ( mem(e,p(e))
    | ~ subq(e,e) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_74,plain,
    ( ( e = e )
    | ~ mem(e,s(e)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_319,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ~ atleast3p(X1)
      | ~ subq(X1,X0)
      | ( u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(p(s(u(e,s(e))))))) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_66,c_67]) ).

tcf(c_320,plain,
    ! [X0: $i] :
      ( subq(u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(p(s(u(e,s(e))))))),X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(p(s(u(e,s(e)))))))) ),
    inference(unflattening,[status(thm)],[c_319]) ).

tcf(c_656,definition,
    iPr_def_10 = s(e),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_657,definition,
    iPr_def_11 = u(e,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_658,definition,
    iPr_def_12 = s(iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_659,definition,
    iPr_def_13 = u(iPr_def_11,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_660,definition,
    iPr_def_14 = s(iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_661,definition,
    iPr_def_15 = u(iPr_def_12,iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_662,definition,
    iPr_def_16 = s(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_663,definition,
    iPr_def_17 = s(iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_664,definition,
    iPr_def_18 = u(iPr_def_16,iPr_def_17),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_665,definition,
    iPr_def_19 = p(iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_666,definition,
    iPr_def_20 = s(iPr_def_19),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_667,definition,
    iPr_def_21 = u(iPr_def_18,iPr_def_20),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_668,definition,
    iPr_def_22 = u(iPr_def_15,iPr_def_21),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_669,plain,
    ! [X0: $i] :
      ( subq(iPr_def_22,X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_22) ),
    inference(demodulation,[status(thm)],[c_320,c_665,c_666,c_663,c_662,c_664,c_667,c_659,c_660,c_656,c_657,c_658,c_661,c_668]) ).

tcf(c_670,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X2)
      | ~ subq(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X2)
      | ~ mem(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = s(X1) )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1178,plain,
    mem(e,iPr_def_10),
    inference(superposition,[status(thm)],[c_656,c_54]) ).

tcf(c_1179,plain,
    mem(iPr_def_11,iPr_def_12),
    inference(superposition,[status(thm)],[c_658,c_54]) ).

tcf(c_1180,plain,
    mem(iPr_def_13,iPr_def_14),
    inference(superposition,[status(thm)],[c_660,c_54]) ).

tcf(c_1181,plain,
    mem(iPr_def_12,iPr_def_16),
    inference(superposition,[status(thm)],[c_662,c_54]) ).

tcf(c_1182,plain,
    mem(iPr_def_16,iPr_def_17),
    inference(superposition,[status(thm)],[c_663,c_54]) ).

tcf(c_1183,plain,
    mem(iPr_def_19,iPr_def_20),
    inference(superposition,[status(thm)],[c_666,c_54]) ).

tcf(c_1188,plain,
    ! [X0: $i] : subq(e,X0),
    inference(superposition,[status(thm)],[c_50,c_53]) ).

tcf(c_1189,plain,
    subq(e,e),
    inference(instantiation,[status(thm)],[c_1188]) ).

tcf(c_1190,plain,
    ( subq(iPr_def_22,e)
    | ~ atleast3p(e) ),
    inference(superposition,[status(thm)],[c_1188,c_669]) ).

tcf(c_1204,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ~ subq(X0,e) ),
    inference(superposition,[status(thm)],[c_1188,c_52]) ).

tcf(c_1214,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_19)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_62]) ).

tcf(c_1222,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(X0),X1)
      | subq(sK0(p(X0),X1),X0) ),
    inference(superposition,[status(thm)],[c_50,c_63]) ).

tcf(c_1224,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_12)
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_63]) ).

tcf(c_1229,plain,
    ( subq(e,iPr_def_12)
    | ~ mem(e,iPr_def_19) ),
    inference(instantiation,[status(thm)],[c_1224]) ).

tcf(c_1235,plain,
    ! [X0: $i] : subq(X0,X0),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

tcf(c_1236,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,p(X1))
      | ~ subq(sK0(X0,p(X1)),X1) ),
    inference(superposition,[status(thm)],[c_62,c_49]) ).

tcf(c_1244,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),X1)
      | ( sK0(s(X0),X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_50,c_55]) ).

tcf(c_1246,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_55]) ).

tcf(c_1247,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_11 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_658,c_55]) ).

tcf(c_1248,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_660,c_55]) ).

tcf(c_1249,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_662,c_55]) ).

tcf(c_1250,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_663,c_55]) ).

tcf(c_1251,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_666,c_55]) ).

tcf(c_1266,plain,
    ( ( e = iPr_def_19 )
    | ~ mem(e,iPr_def_20) ),
    inference(instantiation,[status(thm)],[c_1251]) ).

tcf(c_1267,plain,
    ( ( e = iPr_def_16 )
    | ~ mem(e,iPr_def_17) ),
    inference(instantiation,[status(thm)],[c_1250]) ).

tcf(c_1268,plain,
    ( ( e = iPr_def_12 )
    | ~ mem(e,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_1249]) ).

tcf(c_1269,plain,
    ( ( e = iPr_def_13 )
    | ~ mem(e,iPr_def_14) ),
    inference(instantiation,[status(thm)],[c_1248]) ).

tcf(c_1282,plain,
    mem(e,iPr_def_19),
    inference(superposition,[status(thm)],[c_1188,c_1214]) ).

tcf(c_1283,plain,
    mem(iPr_def_12,iPr_def_19),
    inference(superposition,[status(thm)],[c_1235,c_1214]) ).

tcf(c_1288,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | subq(sK0(iPr_def_19,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_50,c_1224]) ).

tcf(c_1305,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = e ) ),
    inference(superposition,[status(thm)],[c_50,c_1246]) ).

tcf(c_1309,plain,
    ( subq(iPr_def_10,e)
    | ( sK0(iPr_def_10,e) = e ) ),
    inference(instantiation,[status(thm)],[c_1305]) ).

tcf(c_1314,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_50,c_1247]) ).

tcf(c_1318,plain,
    ( subq(iPr_def_12,e)
    | ( sK0(iPr_def_12,e) = iPr_def_11 ) ),
    inference(instantiation,[status(thm)],[c_1314]) ).

tcf(c_1323,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_50,c_1248]) ).

tcf(c_1332,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_50,c_1249]) ).

tcf(c_1341,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_50,c_1250]) ).

tcf(c_1352,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_22),X0)
      | subq(iPr_def_22,sK0(p(iPr_def_22),X0))
      | ~ atleast3p(sK0(p(iPr_def_22),X0)) ),
    inference(superposition,[status(thm)],[c_1222,c_669]) ).

tcf(c_1353,plain,
    ! [X0: $i] :
      ( subq(p(e),X0)
      | ( sK0(p(e),X0) = e ) ),
    inference(superposition,[status(thm)],[c_1222,c_1204]) ).

tcf(c_1368,plain,
    ( subq(p(e),e)
    | ( sK0(p(e),e) = e ) ),
    inference(instantiation,[status(thm)],[c_1353]) ).

tcf(c_1375,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ~ mem(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_659,c_56]) ).

tcf(c_1376,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_661,c_56]) ).

tcf(c_1377,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_56]) ).

tcf(c_1378,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_56]) ).

tcf(c_1379,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_22)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_668,c_56]) ).

tcf(c_1380,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X1) ),
    inference(superposition,[status(thm)],[c_56,c_49]) ).

tcf(c_1395,plain,
    ( mem(e,iPr_def_18)
    | ~ mem(e,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_1377]) ).

tcf(c_1397,plain,
    ( mem(e,iPr_def_13)
    | ~ mem(e,iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_1375]) ).

tcf(c_1415,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_11)
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_657,c_57]) ).

tcf(c_1416,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_659,c_57]) ).

tcf(c_1417,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_57]) ).

tcf(c_1418,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_57]) ).

tcf(c_1419,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_57]) ).

tcf(c_1420,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_22)
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_668,c_57]) ).

tcf(c_1421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X2) ),
    inference(superposition,[status(thm)],[c_57,c_49]) ).

tcf(c_1441,plain,
    ( mem(e,iPr_def_11)
    | ~ mem(e,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_1415]) ).

tcf(c_1448,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,X1)
      | ~ mem(X2,p(X0))
      | ~ subq(p(X0),X1) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_1449,plain,
    ( mem(e,e)
    | ~ mem(e,p(e))
    | ~ subq(p(e),e) ),
    inference(instantiation,[status(thm)],[c_1448]) ).

tcf(c_1454,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | mem(sK0(m(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_50,c_60]) ).

tcf(c_1462,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | ~ mem(sK0(m(X0,X1),X2),X1) ),
    inference(superposition,[status(thm)],[c_50,c_61]) ).

tcf(c_1474,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_50,c_1375]) ).

tcf(c_1482,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_50,c_1376]) ).

tcf(c_1483,plain,
    mem(iPr_def_11,iPr_def_15),
    inference(superposition,[status(thm)],[c_1179,c_1376]) ).

tcf(c_1491,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_50,c_1377]) ).

tcf(c_1492,plain,
    mem(iPr_def_12,iPr_def_18),
    inference(superposition,[status(thm)],[c_1181,c_1377]) ).

tcf(c_1496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ~ mem(X1,s(X1))
      | ( X2 != s(X1) )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_1506,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_22),X0)
      | ( sK0(p(iPr_def_22),X0) = iPr_def_22 )
      | ~ atleast3p(sK0(p(iPr_def_22),X0))
      | ~ subq(sK0(p(iPr_def_22),X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_1352,c_52]) ).

tcf(c_1516,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_22),X0)
      | ( sK0(p(iPr_def_22),X0) = iPr_def_22 )
      | ~ atleast3p(sK0(p(iPr_def_22),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1506,c_1222]) ).

tcf(c_1545,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_50,c_1378]) ).

tcf(c_1546,plain,
    mem(iPr_def_12,iPr_def_21),
    inference(superposition,[status(thm)],[c_1492,c_1378]) ).

tcf(c_1554,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_50,c_1379]) ).

tcf(c_1555,plain,
    mem(iPr_def_11,iPr_def_22),
    inference(superposition,[status(thm)],[c_1483,c_1379]) ).

tcf(c_1563,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_50,c_1415]) ).

tcf(c_1564,plain,
    mem(e,iPr_def_11),
    inference(superposition,[status(thm)],[c_1178,c_1415]) ).

tcf(c_1584,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_665,c_64]) ).

tcf(c_1605,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | mem(sK0(X0,X2),X1)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

tcf(c_1609,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,X1)
      | ~ subq(X2,X0)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_62,c_51]) ).

tcf(c_1610,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_1178,c_51]) ).

tcf(c_1611,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_1179,c_51]) ).

tcf(c_1612,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_1180,c_51]) ).

tcf(c_1613,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_1181,c_51]) ).

tcf(c_1614,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_1182,c_51]) ).

tcf(c_1615,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_1183,c_51]) ).

tcf(c_1616,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_1282,c_51]) ).

tcf(c_1617,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_1283,c_51]) ).

tcf(c_1618,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_1483,c_51]) ).

tcf(c_1619,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_1492,c_51]) ).

tcf(c_1620,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_1546,c_51]) ).

tcf(c_1621,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1555,c_51]) ).

tcf(c_1661,plain,
    ( mem(iPr_def_12,e)
    | ~ subq(iPr_def_21,e) ),
    inference(instantiation,[status(thm)],[c_1620]) ).

tcf(c_1662,plain,
    ( mem(iPr_def_12,e)
    | ~ subq(iPr_def_18,e) ),
    inference(instantiation,[status(thm)],[c_1619]) ).

tcf(c_1663,plain,
    ( mem(iPr_def_11,e)
    | ~ subq(iPr_def_15,e) ),
    inference(instantiation,[status(thm)],[c_1618]) ).

tcf(c_1665,plain,
    ( mem(e,e)
    | ~ subq(iPr_def_19,e) ),
    inference(instantiation,[status(thm)],[c_1616]) ).

tcf(c_1668,plain,
    ( mem(iPr_def_12,e)
    | ~ subq(iPr_def_16,e) ),
    inference(instantiation,[status(thm)],[c_1613]) ).

tcf(c_1670,plain,
    ( mem(iPr_def_11,e)
    | ~ subq(iPr_def_12,e) ),
    inference(instantiation,[status(thm)],[c_1611]) ).

tcf(c_1671,plain,
    ( mem(e,e)
    | ~ subq(iPr_def_10,e) ),
    inference(instantiation,[status(thm)],[c_1610]) ).

tcf(c_1714,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_10)
      | mem(X0,e)
      | ~ mem(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_657,c_58]) ).

tcf(c_1716,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | mem(X0,iPr_def_12)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_661,c_58]) ).

tcf(c_1717,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | mem(X0,iPr_def_16)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_664,c_58]) ).

tcf(c_1718,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_20)
      | mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_667,c_58]) ).

tcf(c_1735,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_10)
      | ~ mem(X0,iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1714,c_53]) ).

tcf(c_1742,plain,
    ( mem(e,iPr_def_20)
    | mem(e,iPr_def_18)
    | ~ mem(e,iPr_def_21) ),
    inference(instantiation,[status(thm)],[c_1718]) ).

tcf(c_1743,plain,
    ( mem(e,iPr_def_17)
    | mem(e,iPr_def_16)
    | ~ mem(e,iPr_def_18) ),
    inference(instantiation,[status(thm)],[c_1717]) ).

tcf(c_1744,plain,
    ( mem(e,iPr_def_14)
    | mem(e,iPr_def_12)
    | ~ mem(e,iPr_def_15) ),
    inference(instantiation,[status(thm)],[c_1716]) ).

tcf(c_1779,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_1564,c_51]) ).

tcf(c_1780,plain,
    mem(e,iPr_def_13),
    inference(superposition,[status(thm)],[c_1564,c_1375]) ).

tcf(c_1783,plain,
    ( mem(e,e)
    | ~ subq(iPr_def_11,e) ),
    inference(instantiation,[status(thm)],[c_1779]) ).

tcf(c_1784,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_1780,c_51]) ).

tcf(c_1787,plain,
    ( mem(e,e)
    | ~ subq(iPr_def_13,e) ),
    inference(instantiation,[status(thm)],[c_1784]) ).

tcf(c_1792,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_50,c_1416]) ).

tcf(c_1793,plain,
    mem(iPr_def_11,iPr_def_13),
    inference(superposition,[status(thm)],[c_1179,c_1416]) ).

tcf(c_1800,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_1793,c_51]) ).

tcf(c_1809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_50,c_1417]) ).

tcf(c_1810,plain,
    mem(iPr_def_13,iPr_def_15),
    inference(superposition,[status(thm)],[c_1180,c_1417]) ).

tcf(c_1814,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_1810,c_51]) ).

tcf(c_1815,plain,
    mem(iPr_def_13,iPr_def_22),
    inference(superposition,[status(thm)],[c_1810,c_1379]) ).

tcf(c_1832,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1815,c_51]) ).

tcf(c_1840,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_50,c_1418]) ).

tcf(c_1841,plain,
    mem(iPr_def_16,iPr_def_18),
    inference(superposition,[status(thm)],[c_1182,c_1418]) ).

tcf(c_1845,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_1841,c_51]) ).

tcf(c_1846,plain,
    mem(iPr_def_16,iPr_def_21),
    inference(superposition,[status(thm)],[c_1841,c_1378]) ).

tcf(c_1851,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_1846,c_51]) ).

tcf(c_1859,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_50,c_1419]) ).

tcf(c_1860,plain,
    mem(iPr_def_19,iPr_def_21),
    inference(superposition,[status(thm)],[c_1183,c_1419]) ).

tcf(c_1864,plain,
    mem(iPr_def_12,iPr_def_16),
    inference(superposition,[status(thm)],[c_662,c_54]) ).

tcf(c_1866,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_1860,c_51]) ).

tcf(c_1879,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(s(iPr_def_19),X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_1244]) ).

tcf(c_1881,plain,
    ! [X0: $i] :
      ( subq(iPr_def_22,s(X0))
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_1244,c_669]) ).

tcf(c_1884,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_1879,c_666]) ).

tcf(c_1928,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,e)
      | ~ atleast2p(e) ),
    inference(superposition,[status(thm)],[c_1188,c_65]) ).

tcf(c_1946,plain,
    mem(iPr_def_19,iPr_def_20),
    inference(superposition,[status(thm)],[c_666,c_54]) ).

tcf(c_1951,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | mem(sK0(iPr_def_21,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_50,c_1420]) ).

tcf(c_1952,plain,
    mem(iPr_def_12,iPr_def_22),
    inference(superposition,[status(thm)],[c_1546,c_1420]) ).

tcf(c_1953,plain,
    mem(iPr_def_16,iPr_def_22),
    inference(superposition,[status(thm)],[c_1846,c_1420]) ).

tcf(c_1954,plain,
    mem(iPr_def_19,iPr_def_22),
    inference(superposition,[status(thm)],[c_1860,c_1420]) ).

tcf(c_1998,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1952,c_51]) ).

tcf(c_2007,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1953,c_51]) ).

tcf(c_2014,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1954,c_51]) ).

tcf(c_2022,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_64,c_1612]) ).

tcf(c_2038,plain,
    ( subq(iPr_def_22,iPr_def_10)
    | ( sK0(s(e),iPr_def_22) = e )
    | ~ atleast3p(s(e)) ),
    inference(superposition,[status(thm)],[c_656,c_1881]) ).

tcf(c_2066,plain,
    ( subq(iPr_def_22,iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_2038,c_656]) ).

tcf(c_2264,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_64,c_1613]) ).

tcf(c_2269,plain,
    ( atleast2p(iPr_def_16)
    | mem(iPr_def_12,p(e))
    | ~ mem(e,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_2264]) ).

tcf(c_2287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = s(X0) )
      | ( X2 != X1 )
      | ( s(X0) != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_2295,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | ~ mem(iPr_def_12,s(iPr_def_12))
      | ( iPr_def_16 != s(iPr_def_12) )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_1496]) ).

tcf(c_2296,plain,
    ( mem(e,iPr_def_16)
    | ~ mem(iPr_def_12,s(iPr_def_12))
    | ( iPr_def_16 != s(iPr_def_12) )
    | ( e != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_2295]) ).

tcf(c_2297,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | ~ mem(iPr_def_16,s(iPr_def_16))
      | ( iPr_def_17 != s(iPr_def_16) )
      | ( X0 != iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_1496]) ).

tcf(c_2305,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_64,c_1615]) ).

tcf(c_2325,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_19)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_64,c_1617]) ).

tcf(c_2345,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_64,c_1619]) ).

tcf(c_2437,plain,
    ( mem(iPr_def_11,e)
    | ~ atleast3p(e) ),
    inference(superposition,[status(thm)],[c_1190,c_1621]) ).

tcf(c_2441,plain,
    ( mem(iPr_def_11,iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_2066,c_1621]) ).

tcf(c_2447,plain,
    ~ atleast3p(e),
    inference(forward_subsumption_resolution,[status(thm)],[c_2437,c_53]) ).

tcf(c_2479,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),X1)
      | ( sK0(s(X0),X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_50,c_55]) ).

tcf(c_2482,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_11 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_658,c_55]) ).

tcf(c_2505,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_50,c_1735]) ).

tcf(c_2544,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_64,c_1814]) ).

tcf(c_2670,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ~ mem(X1,iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_2673,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_10)
      | subq(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_2678,plain,
    ( atleast2p(iPr_def_10)
    | subq(iPr_def_10,p(e))
    | ~ mem(e,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_2673]) ).

tcf(c_2682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ~ mem(X1,iPr_def_10)
      | ( X2 != iPr_def_10 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_2683,plain,
    ( mem(e,e)
    | ~ mem(e,iPr_def_10)
    | ( e != iPr_def_10 )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_2682]) ).

tcf(c_2800,plain,
    iPr_def_11 = iPr_def_11,
    inference(instantiation,[status(thm)],[c_670]) ).

tcf(c_2801,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_11 )
      | ( iPr_def_11 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_2888,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( iPr_def_13 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_2974,plain,
    iPr_def_12 = iPr_def_12,
    inference(instantiation,[status(thm)],[c_670]) ).

tcf(c_2975,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( iPr_def_12 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_3041,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,s(X0))
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_1881,c_1998]) ).

tcf(c_3075,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ~ subq(iPr_def_16,X0)
      | ~ subq(X0,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_3080,plain,
    iPr_def_16 = iPr_def_16,
    inference(instantiation,[status(thm)],[c_670]) ).

tcf(c_3081,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( iPr_def_16 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_3129,plain,
    iPr_def_19 = iPr_def_19,
    inference(instantiation,[status(thm)],[c_670]) ).

tcf(c_3130,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( iPr_def_19 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_3139,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_56]) ).

tcf(c_3140,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_56]) ).

tcf(c_3161,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_22),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_22),X0))
      | ~ atleast3p(sK0(p(iPr_def_22),X0)) ),
    inference(superposition,[status(thm)],[c_1352,c_2014]) ).

tcf(c_3162,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,s(X0))
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_1881,c_2014]) ).

tcf(c_3202,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ~ mem(X1,iPr_def_19)
      | ~ subq(iPr_def_19,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_3212,plain,
    ! [X0: $i,X1: $i] :
      ( ~ mem(X0,iPr_def_19)
      | ~ mem(X0,m(X1,iPr_def_19)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_3214,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ~ mem(X1,iPr_def_19)
      | ( X2 != iPr_def_19 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_3215,plain,
    ( mem(e,e)
    | ~ mem(e,iPr_def_19)
    | ( e != iPr_def_19 )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_3214]) ).

tcf(c_3309,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_3162,c_55]) ).

tcf(c_3454,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_57]) ).

tcf(c_3455,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_22)
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_668,c_57]) ).

tcf(c_3481,plain,
    subq(iPr_def_11,iPr_def_13),
    inference(superposition,[status(thm)],[c_1474,c_49]) ).

tcf(c_3499,plain,
    subq(iPr_def_12,iPr_def_15),
    inference(superposition,[status(thm)],[c_1482,c_49]) ).

tcf(c_3501,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_1482,c_1379]) ).

tcf(c_3509,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_15,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_3499,c_65]) ).

tcf(c_3550,plain,
    subq(iPr_def_16,iPr_def_18),
    inference(superposition,[status(thm)],[c_1491,c_49]) ).

tcf(c_3551,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | mem(sK0(iPr_def_16,X1),X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_1491,c_51]) ).

tcf(c_3552,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_1491,c_1378]) ).

tcf(c_3560,plain,
    ( atleast3p(iPr_def_18)
    | subq(iPr_def_18,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_3550,c_65]) ).

tcf(c_3572,plain,
    subq(iPr_def_18,iPr_def_21),
    inference(superposition,[status(thm)],[c_1545,c_49]) ).

tcf(c_3574,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_1545,c_1420]) ).

tcf(c_3588,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(s(e),iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_3309]) ).

tcf(c_3610,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_10,iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_3588,c_656]) ).

tcf(c_3869,plain,
    mem(iPr_def_12,iPr_def_18),
    inference(superposition,[status(thm)],[c_1864,c_3139]) ).

tcf(c_3973,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_18)
    | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_3572,c_65]) ).

tcf(c_3997,plain,
    subq(iPr_def_15,iPr_def_22),
    inference(superposition,[status(thm)],[c_1554,c_49]) ).

tcf(c_3998,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X1)
      | mem(sK0(iPr_def_15,X1),X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1554,c_51]) ).

tcf(c_4005,plain,
    ( subq(iPr_def_22,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_3997,c_669]) ).

tcf(c_4034,plain,
    mem(iPr_def_12,iPr_def_21),
    inference(superposition,[status(thm)],[c_3869,c_3140]) ).

tcf(c_4041,plain,
    subq(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_1563,c_49]) ).

tcf(c_4044,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_1563,c_1375]) ).

tcf(c_4071,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subq(iPr_def_11,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_4041,c_52]) ).

tcf(c_4092,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_4005,c_2014]) ).

tcf(c_4093,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_4005,c_2007]) ).

tcf(c_4094,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_4005,c_1998]) ).

tcf(c_4108,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,p(X1))
      | ~ mem(X0,p(p(X1))) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_4123,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_4092,c_51]) ).

tcf(c_4220,plain,
    ( ~ atleast3p(iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_22) = e ) ),
    inference(global_subsumption_just,[status(thm)],[c_2441,c_68,c_69,c_74,c_1282,c_3215,c_3610]) ).

tcf(c_4221,plain,
    ( ( sK0(iPr_def_10,iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_4220]) ).

tcf(c_4267,plain,
    subq(iPr_def_12,iPr_def_13),
    inference(superposition,[status(thm)],[c_1792,c_49]) ).

tcf(c_4273,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_4267,c_65]) ).

tcf(c_4287,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | mem(sK0(iPr_def_14,X1),X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_1809,c_51]) ).

tcf(c_4288,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_1809,c_1379]) ).

tcf(c_4309,plain,
    subq(iPr_def_17,iPr_def_18),
    inference(superposition,[status(thm)],[c_1840,c_49]) ).

tcf(c_4310,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | mem(sK0(iPr_def_17,X1),X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_1840,c_51]) ).

tcf(c_4311,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_1840,c_1378]) ).

tcf(c_4341,plain,
    ( atleast3p(iPr_def_18)
    | subq(iPr_def_18,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_4309,c_65]) ).

tcf(c_4355,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X1)
      | mem(sK0(iPr_def_20,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_1859,c_51]) ).

tcf(c_4356,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_1859,c_1420]) ).

tcf(c_4408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = s(X0) )
      | ( X2 != s(X1) )
      | ( s(X0) != s(X1) ) ),
    inference(instantiation,[status(thm)],[c_2287]) ).

tcf(c_4554,plain,
    ( atleast3p(iPr_def_20)
    | mem(iPr_def_19,e)
    | ~ atleast2p(e) ),
    inference(superposition,[status(thm)],[c_1928,c_1615]) ).

tcf(c_4574,plain,
    ( atleast3p(iPr_def_20)
    | ~ atleast2p(e) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4554,c_53]) ).

tcf(c_4734,plain,
    subq(iPr_def_21,iPr_def_22),
    inference(superposition,[status(thm)],[c_1951,c_49]) ).

tcf(c_4735,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,X1)
      | mem(sK0(iPr_def_21,X1),X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_1951,c_51]) ).

tcf(c_4742,plain,
    ( subq(iPr_def_22,iPr_def_21)
    | ~ atleast3p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_4734,c_669]) ).

tcf(c_4774,plain,
    ( ( iPr_def_21 = iPr_def_22 )
    | ~ atleast3p(iPr_def_21)
    | ~ subq(iPr_def_21,iPr_def_22) ),
    inference(superposition,[status(thm)],[c_4742,c_52]) ).

tcf(c_4778,plain,
    ( mem(iPr_def_13,iPr_def_21)
    | ~ atleast3p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_4742,c_1832]) ).

tcf(c_4779,plain,
    ( mem(iPr_def_11,iPr_def_21)
    | ~ atleast3p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_4742,c_1621]) ).

tcf(c_4784,plain,
    ( ( iPr_def_21 = iPr_def_22 )
    | ~ atleast3p(iPr_def_21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4774,c_4734]) ).

tcf(c_4791,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_4778,c_51]) ).

tcf(c_4801,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_4779,c_51]) ).

tcf(c_4882,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_10,X0) = e ) ),
    inference(superposition,[status(thm)],[c_1305,c_1610]) ).

tcf(c_4898,plain,
    subq(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_2505,c_49]) ).

tcf(c_4913,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subq(iPr_def_10,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_4898,c_52]) ).

tcf(c_4915,plain,
    iPr_def_10 = iPr_def_11,
    inference(forward_subsumption_resolution,[status(thm)],[c_4913,c_4041]) ).

tcf(c_4919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_21,X0) ),
    inference(demodulation,[status(thm)],[c_4801,c_4915]) ).

tcf(c_4920,plain,
    ( mem(iPr_def_10,iPr_def_21)
    | ~ atleast3p(iPr_def_21) ),
    inference(demodulation,[status(thm)],[c_4779,c_4915]) ).

tcf(c_4930,plain,
    subq(iPr_def_10,iPr_def_13),
    inference(demodulation,[status(thm)],[c_3481,c_4915]) ).

tcf(c_4936,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(demodulation,[status(thm)],[c_1800,c_4915]) ).

tcf(c_4939,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(demodulation,[status(thm)],[c_1621,c_4915]) ).

tcf(c_4945,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_12,X0) ),
    inference(demodulation,[status(thm)],[c_1611,c_4915]) ).

tcf(c_4950,plain,
    mem(iPr_def_10,iPr_def_15),
    inference(demodulation,[status(thm)],[c_1483,c_4915]) ).

tcf(c_4951,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ~ mem(X0,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_1375,c_4915]) ).

tcf(c_4952,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ~ mem(X0,iPr_def_12) ),
    inference(demodulation,[status(thm)],[c_1247,c_4915]) ).

tcf(c_4953,plain,
    u(iPr_def_10,iPr_def_12) = iPr_def_13,
    inference(demodulation,[status(thm)],[c_659,c_4915]) ).

tcf(c_4955,plain,
    mem(iPr_def_10,iPr_def_12),
    inference(demodulation,[status(thm)],[c_1179,c_4915]) ).

tcf(c_4956,plain,
    s(iPr_def_10) = iPr_def_12,
    inference(demodulation,[status(thm)],[c_658,c_4915]) ).

tcf(c_5028,plain,
    ( ( e = iPr_def_10 )
    | ~ mem(e,iPr_def_12) ),
    inference(instantiation,[status(thm)],[c_4952]) ).

tcf(c_5043,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_10)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_4930,c_65]) ).

tcf(c_5243,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | mem(X0,iPr_def_10)
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_4953,c_58]) ).

tcf(c_5256,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_13)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64,c_4936]) ).

tcf(c_5263,plain,
    ( atleast2p(iPr_def_13)
    | mem(iPr_def_10,p(e))
    | ~ mem(e,iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_5256]) ).

tcf(c_5406,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_4945]) ).

tcf(c_5625,plain,
    ( ( p(e) = e )
    | ( sK0(p(e),e) = e ) ),
    inference(superposition,[status(thm)],[c_1353,c_1204]) ).

tcf(c_5768,plain,
    subq(iPr_def_12,iPr_def_22),
    inference(superposition,[status(thm)],[c_3501,c_49]) ).

tcf(c_5776,plain,
    ( subq(iPr_def_22,iPr_def_12)
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_5768,c_669]) ).

tcf(c_5986,plain,
    sK0(p(e),e) = e,
    inference(global_subsumption_just,[status(thm)],[c_5625,c_69,c_71,c_1189,c_1368,c_1449]) ).

tcf(c_5989,plain,
    ( mem(e,p(e))
    | subq(p(e),e) ),
    inference(superposition,[status(thm)],[c_5986,c_50]) ).

tcf(c_6006,plain,
    ( atleast3p(iPr_def_18)
    | mem(iPr_def_16,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_3560,c_1845]) ).

tcf(c_6030,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_18)
    | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_3973,c_1866]) ).

tcf(c_6251,plain,
    subq(iPr_def_16,iPr_def_21),
    inference(superposition,[status(thm)],[c_3552,c_49]) ).

tcf(c_6252,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | mem(sK0(iPr_def_16,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_3552,c_51]) ).

tcf(c_6253,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_3552,c_1420]) ).

tcf(c_6261,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_6251,c_65]) ).

tcf(c_6276,plain,
    subq(iPr_def_18,iPr_def_22),
    inference(superposition,[status(thm)],[c_3574,c_49]) ).

tcf(c_6292,plain,
    ( subq(iPr_def_22,iPr_def_18)
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_6276,c_669]) ).

tcf(c_6312,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_6292,c_4939]) ).

tcf(c_6313,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_6292,c_2014]) ).

tcf(c_6518,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_13,iPr_def_19)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_4273,c_1214]) ).

tcf(c_6520,plain,
    ( atleast3p(iPr_def_13)
    | mem(e,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_4273,c_1784]) ).

tcf(c_6573,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | mem(sK0(iPr_def_10,X1),X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_4044,c_51]) ).

tcf(c_6583,plain,
    subq(iPr_def_14,iPr_def_22),
    inference(superposition,[status(thm)],[c_4288,c_49]) ).

tcf(c_6584,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | mem(sK0(iPr_def_14,X1),X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_4288,c_51]) ).

tcf(c_6591,plain,
    ( subq(iPr_def_22,iPr_def_14)
    | ~ atleast3p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_6583,c_669]) ).

tcf(c_6610,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | ~ atleast3p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_6591,c_2014]) ).

tcf(c_6612,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | ~ atleast3p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_6591,c_1998]) ).

tcf(c_6660,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_6610,c_1248]) ).

tcf(c_6674,plain,
    mem(iPr_def_19,iPr_def_21),
    inference(superposition,[status(thm)],[c_1946,c_3454]) ).

tcf(c_6696,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_14)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_6612,c_51]) ).

tcf(c_6698,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_6612,c_1248]) ).

tcf(c_6809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_22,s(X0))
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_2479,c_669]) ).

tcf(c_7226,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | mem(sK0(iPr_def_17,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_4311,c_51]) ).

tcf(c_7227,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_4311,c_1420]) ).

tcf(c_7240,plain,
    mem(iPr_def_12,iPr_def_22),
    inference(superposition,[status(thm)],[c_4034,c_3455]) ).

tcf(c_7242,plain,
    mem(iPr_def_19,iPr_def_22),
    inference(superposition,[status(thm)],[c_6674,c_3455]) ).

tcf(c_7258,plain,
    subq(iPr_def_20,iPr_def_22),
    inference(superposition,[status(thm)],[c_4356,c_49]) ).

tcf(c_7266,plain,
    ( subq(iPr_def_22,iPr_def_20)
    | ~ atleast3p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_7258,c_669]) ).

tcf(c_7308,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | ~ atleast3p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_7266,c_1998]) ).

tcf(c_7354,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ~ atleast3p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_7308,c_1251]) ).

tcf(c_7455,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_7240,c_51]) ).

tcf(c_7495,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_10,iPr_def_10)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_5043,c_4936]) ).

tcf(c_7504,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_7242,c_51]) ).

tcf(c_7647,plain,
    ( subq(iPr_def_22,iPr_def_10)
    | ( sK0(s(e),iPr_def_22) = e )
    | ~ atleast3p(s(e)) ),
    inference(superposition,[status(thm)],[c_656,c_6809]) ).

tcf(c_7648,plain,
    ( subq(iPr_def_22,iPr_def_12)
    | ( sK0(s(iPr_def_11),iPr_def_22) = iPr_def_11 )
    | ~ atleast3p(s(iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_658,c_6809]) ).

tcf(c_7671,plain,
    ( subq(iPr_def_22,iPr_def_12)
    | ( sK0(iPr_def_12,iPr_def_22) = iPr_def_11 )
    | ~ atleast3p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_7648,c_658]) ).

tcf(c_7675,plain,
    ( subq(iPr_def_22,iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_7647,c_656]) ).

tcf(c_7769,plain,
    mem(e,p(e)),
    inference(global_subsumption_just,[status(thm)],[c_5989,c_71,c_1189]) ).

tcf(c_8160,plain,
    ( atleast3p(iPr_def_18)
    | ( iPr_def_12 = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_6006,c_1249]) ).

tcf(c_8510,plain,
    ( subq(iPr_def_22,iPr_def_12)
    | ~ atleast3p(iPr_def_12) ),
    inference(global_subsumption_just,[status(thm)],[c_7671,c_5776]) ).

tcf(c_8634,plain,
    subq(iPr_def_16,iPr_def_22),
    inference(superposition,[status(thm)],[c_6253,c_49]) ).

tcf(c_8642,plain,
    ( subq(iPr_def_22,iPr_def_16)
    | ~ atleast3p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_8634,c_669]) ).

tcf(c_8651,plain,
    ( ~ atleast3p(iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_22) = e ) ),
    inference(global_subsumption_just,[status(thm)],[c_7675,c_4221]) ).

tcf(c_8652,plain,
    ( ( sK0(iPr_def_10,iPr_def_22) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_8651]) ).

tcf(c_8664,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | ~ atleast3p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_8642,c_2014]) ).

tcf(c_8730,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ~ atleast3p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_8664,c_1249]) ).

tcf(c_9135,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_1323,c_1612]) ).

tcf(c_9161,plain,
    ( mem(iPr_def_13,e)
    | ( sK0(iPr_def_14,e) = iPr_def_13 ) ),
    inference(instantiation,[status(thm)],[c_9135]) ).

tcf(c_9208,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_1332,c_1613]) ).

tcf(c_9234,plain,
    ( mem(iPr_def_12,e)
    | ( sK0(iPr_def_16,e) = iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_9208]) ).

tcf(c_9283,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_1341,c_1614]) ).

tcf(c_9297,plain,
    ( mem(iPr_def_16,e)
    | ( sK0(iPr_def_17,e) = iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_9283]) ).

tcf(c_9313,plain,
    ( atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_12) ),
    inference(global_subsumption_just,[status(thm)],[c_6518,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_6520]) ).

tcf(c_9887,plain,
    ( atleast2p(iPr_def_18)
    | subq(iPr_def_18,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_1492,c_1584]) ).

tcf(c_9888,plain,
    ( atleast2p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_1546,c_1584]) ).

tcf(c_10049,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_1884,c_1615]) ).

tcf(c_10074,plain,
    ( mem(iPr_def_19,e)
    | ( sK0(iPr_def_20,e) = iPr_def_19 ) ),
    inference(instantiation,[status(thm)],[c_10049]) ).

tcf(c_10182,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_16,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_9887,c_1845]) ).

tcf(c_10251,plain,
    ( atleast2p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_9888,c_1866]) ).

tcf(c_10833,plain,
    ( atleast2p(iPr_def_18)
    | subq(iPr_def_16,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_10182,c_1224]) ).

tcf(c_10845,plain,
    ( atleast2p(iPr_def_21)
    | subq(iPr_def_19,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_10251,c_1224]) ).

tcf(c_11187,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_10833,c_1613]) ).

tcf(c_11442,plain,
    ( atleast2p(iPr_def_21)
    | mem(e,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_10845,c_1616]) ).

tcf(c_11704,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | mem(iPr_def_12,X0)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_11187,c_51]) ).

tcf(c_11706,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_12,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_11187,c_1416]) ).

tcf(c_12096,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ mem(iPr_def_11,iPr_def_12)
      | ~ subq(iPr_def_12,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_12097,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | mem(iPr_def_11,m(iPr_def_12,X0))
      | ~ mem(iPr_def_11,iPr_def_12) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_12103,plain,
    ( mem(iPr_def_11,e)
    | mem(iPr_def_11,m(iPr_def_12,e))
    | ~ mem(iPr_def_11,iPr_def_12) ),
    inference(instantiation,[status(thm)],[c_12097]) ).

tcf(c_12116,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,iPr_def_14)
      | ~ mem(iPr_def_13,m(X0,iPr_def_14)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_12213,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ mem(iPr_def_12,iPr_def_16)
      | ~ subq(iPr_def_16,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_12221,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,iPr_def_16)
      | ~ mem(iPr_def_12,m(X0,iPr_def_16)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_12223,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ~ mem(iPr_def_12,iPr_def_16)
      | ( X1 != iPr_def_16 )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_12224,plain,
    ( mem(e,e)
    | ~ mem(iPr_def_12,iPr_def_16)
    | ( e != iPr_def_16 )
    | ( e != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_12223]) ).

tcf(c_12352,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,iPr_def_17)
      | ~ mem(iPr_def_16,m(X0,iPr_def_17)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_12375,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ mem(iPr_def_19,iPr_def_20)
      | ~ subq(iPr_def_20,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_12383,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,iPr_def_20)
      | ~ mem(iPr_def_19,m(X0,iPr_def_20)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_12445,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_8510,c_7455]) ).

tcf(c_12499,plain,
    ( atleast2p(iPr_def_18)
    | atleast2p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_11706,c_1584]) ).

tcf(c_12599,plain,
    mem(iPr_def_12,s(iPr_def_12)),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_13012,plain,
    ( ( iPr_def_11 = iPr_def_12 )
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_12445,c_2482]) ).

tcf(c_13798,plain,
    ( atleast2p(iPr_def_18)
    | atleast2p(iPr_def_13)
    | mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_12499,c_4936]) ).

tcf(c_13920,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_11)
      | mem(sK0(X0,iPr_def_11),X0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_13921,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_11)
      | ~ mem(sK0(X0,iPr_def_11),iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_14054,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_13)
      | mem(sK0(X0,iPr_def_13),X0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_14055,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_13)
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_14060,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_13)
      | ~ atleast2p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_14139,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_16)
      | ~ mem(X0,p(iPr_def_16)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_14207,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_4092,c_1716]) ).

tcf(c_14211,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_4093,c_1716]) ).

tcf(c_14216,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_4094,c_1716]) ).

tcf(c_14294,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(sK0(iPr_def_19,X0),iPr_def_19) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_14295,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ~ mem(sK0(iPr_def_19,X0),X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_14296,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ~ mem(iPr_def_19,p(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_14297,plain,
    ( subq(iPr_def_19,e)
    | ~ mem(iPr_def_19,p(e)) ),
    inference(instantiation,[status(thm)],[c_14296]) ).

tcf(c_14423,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14207,c_1248]) ).

tcf(c_14443,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14211,c_1248]) ).

tcf(c_14463,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14216,c_1248]) ).

tcf(c_14583,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | mem(iPr_def_19,iPr_def_16)
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_6313,c_1717]) ).

tcf(c_14641,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ~ mem(iPr_def_10,p(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_14642,plain,
    ( subq(iPr_def_10,e)
    | ~ mem(iPr_def_10,p(e)) ),
    inference(instantiation,[status(thm)],[c_14641]) ).

tcf(c_14684,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | mem(iPr_def_10,iPr_def_18)
    | ~ atleast3p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_4920,c_1718]) ).

tcf(c_14749,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_11 )
      | ( iPr_def_11 != iPr_def_12 )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_2801]) ).

tcf(c_14830,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_8510,c_7504]) ).

tcf(c_14900,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( iPr_def_16 != s(iPr_def_12) )
      | ( X0 != s(iPr_def_12) ) ),
    inference(instantiation,[status(thm)],[c_3081]) ).

tcf(c_14902,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( iPr_def_16 != iPr_def_12 )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_3081]) ).

tcf(c_14903,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = iPr_def_12 )
      | ( iPr_def_16 != X0 )
      | ( iPr_def_12 != X0 ) ),
    inference(instantiation,[status(thm)],[c_2975]) ).

tcf(c_14906,plain,
    ( ( e = iPr_def_16 )
    | ( iPr_def_16 != iPr_def_12 )
    | ( e != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_14902]) ).

tcf(c_14909,plain,
    atleast2p(iPr_def_13),
    inference(global_subsumption_just,[status(thm)],[c_13798,c_69,c_1178,c_1397,c_1441,c_1671,c_5263,c_14642]) ).

tcf(c_14971,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | ( iPr_def_16 = iPr_def_19 )
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_14583,c_1250]) ).

tcf(c_15004,plain,
    ! [X0: $i] :
      ( ( iPr_def_19 = X0 )
      | ~ mem(iPr_def_19,s(X0)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_15011,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( iPr_def_19 != iPr_def_12 )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_3130]) ).

tcf(c_15012,plain,
    ! [X0: $i] :
      ( ( iPr_def_19 = iPr_def_12 )
      | ( iPr_def_19 != X0 )
      | ( iPr_def_12 != X0 ) ),
    inference(instantiation,[status(thm)],[c_2975]) ).

tcf(c_15108,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,X0)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_2022,c_63]) ).

tcf(c_15160,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_13,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14216,c_15108]) ).

tcf(c_15162,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_13,iPr_def_16)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14211,c_15108]) ).

tcf(c_15164,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_13,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14207,c_15108]) ).

tcf(c_15873,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,p(X0))
      | ~ mem(iPr_def_19,p(p(X0))) ),
    inference(instantiation,[status(thm)],[c_4108]) ).

tcf(c_15876,plain,
    ( subq(iPr_def_19,p(e))
    | ~ mem(iPr_def_19,p(p(e))) ),
    inference(instantiation,[status(thm)],[c_15873]) ).

tcf(c_15988,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14423,c_4952]) ).

tcf(c_15989,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14423,c_1416]) ).

tcf(c_16280,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,X0)
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_2305,c_63]) ).

tcf(c_16462,plain,
    subq(iPr_def_17,iPr_def_22),
    inference(superposition,[status(thm)],[c_7227,c_49]) ).

tcf(c_16471,plain,
    ( subq(iPr_def_22,iPr_def_17)
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_16462,c_669]) ).

tcf(c_16487,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_16471,c_2014]) ).

tcf(c_16489,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_16471,c_1998]) ).

tcf(c_16544,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_16487,c_1250]) ).

tcf(c_16595,plain,
    ( ( iPr_def_11 = iPr_def_19 )
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_14830,c_2482]) ).

tcf(c_16612,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_16489,c_1250]) ).

tcf(c_16897,plain,
    mem(iPr_def_11,iPr_def_12),
    inference(superposition,[status(thm)],[c_658,c_54]) ).

tcf(c_16898,plain,
    mem(iPr_def_19,iPr_def_20),
    inference(superposition,[status(thm)],[c_666,c_54]) ).

tcf(c_16899,plain,
    mem(iPr_def_13,iPr_def_14),
    inference(superposition,[status(thm)],[c_660,c_54]) ).

tcf(c_16900,plain,
    mem(iPr_def_12,iPr_def_16),
    inference(superposition,[status(thm)],[c_662,c_54]) ).

tcf(c_16901,plain,
    mem(iPr_def_16,iPr_def_17),
    inference(superposition,[status(thm)],[c_663,c_54]) ).

tcf(c_16906,plain,
    ! [X0: $i] : subq(e,X0),
    inference(superposition,[status(thm)],[c_50,c_53]) ).

tcf(c_16925,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_12)
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_63]) ).

tcf(c_16942,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),X1)
      | ( sK0(s(X0),X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_50,c_55]) ).

tcf(c_16944,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_55]) ).

tcf(c_16947,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_662,c_55]) ).

tcf(c_16948,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_663,c_55]) ).

tcf(c_16968,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = e ) ),
    inference(superposition,[status(thm)],[c_50,c_16944]) ).

tcf(c_16981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | mem(sK0(m(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_50,c_60]) ).

tcf(c_16988,plain,
    ! [X0: $i,X1: $i] : subq(m(X0,X1),X0),
    inference(superposition,[status(thm)],[c_16981,c_49]) ).

tcf(c_17008,plain,
    ! [X0: $i] :
      ( subq(iPr_def_22,m(iPr_def_22,X0))
      | ~ atleast3p(m(iPr_def_22,X0)) ),
    inference(superposition,[status(thm)],[c_16988,c_669]) ).

tcf(c_17041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | ~ mem(sK0(m(X0,X1),X2),X1) ),
    inference(superposition,[status(thm)],[c_50,c_61]) ).

tcf(c_17055,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_56]) ).

tcf(c_17056,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_56]) ).

tcf(c_17057,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_22)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_668,c_56]) ).

tcf(c_17058,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X1) ),
    inference(superposition,[status(thm)],[c_56,c_49]) ).

tcf(c_17077,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_57]) ).

tcf(c_17078,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_57]) ).

tcf(c_17079,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_57]) ).

tcf(c_17080,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_22)
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_668,c_57]) ).

tcf(c_17081,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X2) ),
    inference(superposition,[status(thm)],[c_57,c_49]) ).

tcf(c_17102,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_665,c_64]) ).

tcf(c_17112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | mem(sK0(X0,X2),X1)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

tcf(c_17114,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_56,c_51]) ).

tcf(c_17118,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_16897,c_51]) ).

tcf(c_17266,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | subq(sK0(iPr_def_19,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_50,c_16925]) ).

tcf(c_17320,plain,
    mem(iPr_def_12,iPr_def_18),
    inference(superposition,[status(thm)],[c_16900,c_17055]) ).

tcf(c_17335,plain,
    ! [X0: $i,X1: $i] : subq(X0,u(X0,X1)),
    inference(superposition,[status(thm)],[c_50,c_17058]) ).

tcf(c_17339,plain,
    ! [X0: $i,X1: $i,X2: $i] : subq(m(X0,X1),u(X0,X2)),
    inference(superposition,[status(thm)],[c_16981,c_17058]) ).

tcf(c_17344,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_16,iPr_def_17))
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_17058]) ).

tcf(c_17345,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_18,iPr_def_20))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_17058]) ).

tcf(c_17352,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_18) ),
    inference(light_normalisation,[status(thm)],[c_17345,c_667]) ).

tcf(c_17355,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_17344,c_664]) ).

tcf(c_17387,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ~ subq(X0,e) ),
    inference(superposition,[status(thm)],[c_16906,c_52]) ).

tcf(c_17426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(u(X0,X1),X2)
      | mem(sK0(u(X0,X1),X2),X1)
      | mem(sK0(u(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_50,c_58]) ).

tcf(c_17433,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | mem(X0,iPr_def_12)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_661,c_58]) ).

tcf(c_17620,plain,
    subq(iPr_def_15,iPr_def_22),
    inference(superposition,[status(thm)],[c_668,c_17335]) ).

tcf(c_17664,plain,
    ( subq(iPr_def_22,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_17620,c_669]) ).

tcf(c_17679,plain,
    mem(iPr_def_12,iPr_def_21),
    inference(superposition,[status(thm)],[c_17320,c_17056]) ).

tcf(c_17819,plain,
    ! [X0: $i,X1: $i] : subq(X0,u(X1,X0)),
    inference(superposition,[status(thm)],[c_50,c_17081]) ).

tcf(c_17831,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_11,iPr_def_12))
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_659,c_17081]) ).

tcf(c_17832,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_12,iPr_def_14))
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_17081]) ).

tcf(c_17833,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_16,iPr_def_17))
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_17081]) ).

tcf(c_17834,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_18,iPr_def_20))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_17081]) ).

tcf(c_17841,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_17834,c_667]) ).

tcf(c_17844,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_17833,c_664]) ).

tcf(c_17847,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_17832,c_661]) ).

tcf(c_17850,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_13)
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_17831,c_659]) ).

tcf(c_17877,plain,
    subq(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_657,c_17819]) ).

tcf(c_17882,plain,
    subq(iPr_def_21,iPr_def_22),
    inference(superposition,[status(thm)],[c_668,c_17819]) ).

tcf(c_18114,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ~ mem(X1,iPr_def_18)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_667,c_17114]) ).

tcf(c_18163,plain,
    ( ( iPr_def_21 = iPr_def_22 )
    | ~ subq(iPr_def_22,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_17882,c_52]) ).

tcf(c_18264,plain,
    ! [X0: $i,X1: $i] : subq(m(X0,X0),X1),
    inference(superposition,[status(thm)],[c_16981,c_17041]) ).

tcf(c_18492,plain,
    mem(iPr_def_13,iPr_def_15),
    inference(superposition,[status(thm)],[c_16899,c_17077]) ).

tcf(c_18508,plain,
    mem(iPr_def_16,iPr_def_18),
    inference(superposition,[status(thm)],[c_16901,c_17078]) ).

tcf(c_18524,plain,
    mem(iPr_def_19,iPr_def_21),
    inference(superposition,[status(thm)],[c_16898,c_17079]) ).

tcf(c_18542,plain,
    mem(iPr_def_12,iPr_def_22),
    inference(superposition,[status(thm)],[c_17679,c_17080]) ).

tcf(c_18554,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_18542,c_51]) ).

tcf(c_18752,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_19)
      | subq(iPr_def_12,X0)
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_2325,c_63]) ).

tcf(c_18793,plain,
    ( atleast2p(iPr_def_19)
    | subq(iPr_def_12,e) ),
    inference(superposition,[status(thm)],[c_1282,c_18752]) ).

tcf(c_18983,plain,
    ( atleast2p(iPr_def_19)
    | mem(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_18793,c_4945]) ).

tcf(c_18984,plain,
    atleast2p(iPr_def_19),
    inference(forward_subsumption_resolution,[status(thm)],[c_18983,c_53]) ).

tcf(c_18995,plain,
    ( atleast3p(iPr_def_13)
    | ( e = iPr_def_10 )
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_7495,c_1246]) ).

tcf(c_19383,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | subq(iPr_def_12,X0)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_2345,c_63]) ).

tcf(c_19418,plain,
    ( atleast2p(iPr_def_18)
    | subq(iPr_def_12,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_1841,c_19383]) ).

tcf(c_19515,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_19418,c_4945]) ).

tcf(c_19569,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_19515,c_1377]) ).

tcf(c_19584,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | mem(iPr_def_10,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_19569,c_51]) ).

tcf(c_19585,plain,
    ( atleast2p(iPr_def_18)
    | subq(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_19569,c_19383]) ).

tcf(c_19605,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_19585,c_11704]) ).

tcf(c_19610,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_19585,c_4945]) ).

tcf(c_19878,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_17118]) ).

tcf(c_19902,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_64,c_19584]) ).

tcf(c_19923,plain,
    ( atleast2p(iPr_def_18)
    | mem(iPr_def_10,p(e))
    | ~ mem(e,iPr_def_18) ),
    inference(instantiation,[status(thm)],[c_19902]) ).

tcf(c_19952,plain,
    ( atleast2p(iPr_def_18)
    | ( e = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_19605,c_1246]) ).

tcf(c_19971,plain,
    atleast2p(iPr_def_18),
    inference(global_subsumption_just,[status(thm)],[c_19610,c_69,c_662,c_1395,c_1671,c_2296,c_12599,c_14642,c_19923,c_19952]) ).

tcf(c_19976,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_18) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6030,c_19971]) ).

tcf(c_20063,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | subq(iPr_def_13,X0)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_2544,c_63]) ).

tcf(c_20099,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_17)
    | mem(iPr_def_19,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_19976,c_1717]) ).

tcf(c_20263,plain,
    ( atleast2p(iPr_def_15)
    | subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_4950,c_20063]) ).

tcf(c_20479,plain,
    ( atleast2p(iPr_def_15)
    | mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_20263,c_4936]) ).

tcf(c_20523,plain,
    ( atleast2p(iPr_def_15)
    | ( e = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_20479,c_1246]) ).

tcf(c_21074,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_11,X0)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_19878,c_63]) ).

tcf(c_21450,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = s(X0) )
      | ( iPr_def_14 != s(iPr_def_13) )
      | ( s(X0) != s(iPr_def_13) ) ),
    inference(instantiation,[status(thm)],[c_4408]) ).

tcf(c_21656,plain,
    ! [X0: $i] :
      ( mem(sK0(iPr_def_11,X0),e)
      | subq(u(e,iPr_def_10),X0)
      | mem(sK0(u(e,iPr_def_10),X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_657,c_17426]) ).

tcf(c_21747,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_10)
      | mem(sK0(iPr_def_11,X0),e) ),
    inference(light_normalisation,[status(thm)],[c_21656,c_657]) ).

tcf(c_21748,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21747,c_53]) ).

tcf(c_22999,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,X0)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_5406,c_63]) ).

tcf(c_23057,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14463,c_22999]) ).

tcf(c_23060,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14443,c_22999]) ).

tcf(c_23062,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_14423,c_22999]) ).

tcf(c_24922,plain,
    subq(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_21748,c_49]) ).

tcf(c_26857,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subq(iPr_def_10,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_24922,c_52]) ).

tcf(c_26858,plain,
    iPr_def_10 = iPr_def_11,
    inference(forward_subsumption_resolution,[status(thm)],[c_26857,c_17877]) ).

tcf(c_26877,plain,
    s(iPr_def_10) = iPr_def_12,
    inference(demodulation,[status(thm)],[c_658,c_26858]) ).

tcf(c_26991,plain,
    mem(iPr_def_13,iPr_def_22),
    inference(superposition,[status(thm)],[c_18492,c_17057]) ).

tcf(c_27488,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_26991,c_51]) ).

tcf(c_27853,plain,
    ! [X0: $i,X1: $i] : subq(m(X0,X1),X0),
    inference(superposition,[status(thm)],[c_1454,c_49]) ).

tcf(c_28009,plain,
    ! [X0: $i] :
      ( subq(iPr_def_22,m(iPr_def_22,X0))
      | ~ atleast3p(m(iPr_def_22,X0)) ),
    inference(superposition,[status(thm)],[c_27853,c_669]) ).

tcf(c_28011,plain,
    ! [X0: $i] : mem(m(iPr_def_12,X0),iPr_def_19),
    inference(superposition,[status(thm)],[c_27853,c_1214]) ).

tcf(c_28542,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_28011,c_51]) ).

tcf(c_28708,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_22,X0))
      | ~ atleast3p(m(iPr_def_22,X0)) ),
    inference(superposition,[status(thm)],[c_28009,c_4939]) ).

tcf(c_29289,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_28542,c_55]) ).

tcf(c_29293,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_28542,c_63]) ).

tcf(c_29300,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_15)
      | ~ subq(iPr_def_19,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_28542,c_1376]) ).

tcf(c_29302,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_15)
      | ~ subq(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_28542,c_1417]) ).

tcf(c_29308,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_19,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_28542,c_1418]) ).

tcf(c_29312,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_21)
      | ~ subq(iPr_def_19,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_28542,c_1419]) ).

tcf(c_29317,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_21)
      | ~ subq(iPr_def_19,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_28542,c_1378]) ).

tcf(c_29413,plain,
    ( subq(m(iPr_def_12,e),e)
    | ~ subq(iPr_def_19,p(e)) ),
    inference(instantiation,[status(thm)],[c_29293]) ).

tcf(c_29774,plain,
    ! [X0: $i] :
      ( subq(iPr_def_22,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_22))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_29293,c_669]) ).

tcf(c_29852,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ~ subq(iPr_def_19,X1)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_1609]) ).

tcf(c_29907,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_22 )
      | ~ subq(iPr_def_19,p(iPr_def_22))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_22) ),
    inference(superposition,[status(thm)],[c_29774,c_52]) ).

tcf(c_29908,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_22))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_29774,c_4939]) ).

tcf(c_30781,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_22 )
      | ~ subq(iPr_def_19,p(iPr_def_22))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_29907,c_29293]) ).

tcf(c_30948,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ~ mem(X1,iPr_def_16)
      | ( X2 != iPr_def_16 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_30949,plain,
    ( mem(e,e)
    | ~ mem(e,iPr_def_16)
    | ( e != iPr_def_16 )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_30948]) ).

tcf(c_30992,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_3551,c_49]) ).

tcf(c_31220,plain,
    ( atleast3p(iPr_def_18)
    | subq(iPr_def_16,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_4341,c_30992]) ).

tcf(c_31249,plain,
    mem(iPr_def_16,iPr_def_21),
    inference(superposition,[status(thm)],[c_18508,c_17056]) ).

tcf(c_31443,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_31249,c_51]) ).

tcf(c_32079,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_3998,c_49]) ).

tcf(c_32289,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,s(X0))
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_1881,c_32079]) ).

tcf(c_32443,plain,
    mem(iPr_def_19,iPr_def_22),
    inference(superposition,[status(thm)],[c_18524,c_17080]) ).

tcf(c_32468,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_32443,c_51]) ).

tcf(c_33293,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_15 )
      | ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0))
      | ~ subq(s(X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_32289,c_52]) ).

tcf(c_33482,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_17664,c_18554]) ).

tcf(c_34133,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_33482,c_17433]) ).

tcf(c_34912,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_14,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_34133,c_17102]) ).

tcf(c_35004,plain,
    ~ mem(iPr_def_11,e),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_35783,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_4287,c_49]) ).

tcf(c_36021,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_14,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_3509,c_35783]) ).

tcf(c_36097,plain,
    ~ mem(iPr_def_13,e),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_36200,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_4310,c_49]) ).

tcf(c_36816,plain,
    ( atleast3p(iPr_def_18)
    | subq(iPr_def_17,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_3560,c_36200]) ).

tcf(c_37008,plain,
    ~ mem(iPr_def_12,e),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_37758,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,iPr_def_19)
      | ~ mem(iPr_def_12,m(X0,iPr_def_19)) ),
    inference(instantiation,[status(thm)],[c_3212]) ).

tcf(c_38151,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_22,X0))
      | ~ atleast3p(m(iPr_def_22,X0)) ),
    inference(superposition,[status(thm)],[c_17008,c_32468]) ).

tcf(c_38252,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_4355,c_49]) ).

tcf(c_38448,plain,
    ~ mem(iPr_def_16,e),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_38574,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_50,c_16947]) ).

tcf(c_38610,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_20,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_6261,c_38252]) ).

tcf(c_38740,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_4735,c_49]) ).

tcf(c_39096,plain,
    ( subq(iPr_def_21,iPr_def_12)
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_5776,c_38740]) ).

tcf(c_39192,plain,
    ~ mem(iPr_def_19,e),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_39321,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | ~ atleast3p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_39096,c_29852]) ).

tcf(c_40384,plain,
    mem(iPr_def_16,s(iPr_def_16)),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_41441,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_50,c_16948]) ).

tcf(c_41678,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | ~ subq(iPr_def_19,iPr_def_16)
      | ~ mem(X0,iPr_def_19) ),
    inference(instantiation,[status(thm)],[c_3202]) ).

tcf(c_41680,plain,
    ( mem(e,iPr_def_16)
    | ~ mem(e,iPr_def_19)
    | ~ subq(iPr_def_19,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_41678]) ).

tcf(c_41682,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | ~ subq(iPr_def_10,iPr_def_16)
      | ~ mem(X0,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_2670]) ).

tcf(c_41683,plain,
    ( mem(e,iPr_def_16)
    | ~ mem(e,iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_41682]) ).

tcf(c_42361,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | subq(iPr_def_19,X0)
      | subq(iPr_def_12,sK0(iPr_def_19,X0))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_17266,c_65]) ).

tcf(c_42362,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ~ subq(iPr_def_12,sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_17266,c_52]) ).

tcf(c_42607,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(X0))
      | ~ subq(iPr_def_19,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_43408,plain,
    ( ( iPr_def_12 = iPr_def_11 )
    | ( iPr_def_12 != iPr_def_12 )
    | ( iPr_def_11 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_14749]) ).

tcf(c_43539,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ~ mem(iPr_def_12,p(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_43540,plain,
    ( subq(iPr_def_12,e)
    | ~ mem(iPr_def_12,p(e)) ),
    inference(instantiation,[status(thm)],[c_43539]) ).

tcf(c_43545,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(X0))
      | ~ mem(iPr_def_11,iPr_def_12)
      | ~ subq(iPr_def_12,p(X0)) ),
    inference(instantiation,[status(thm)],[c_12096]) ).

tcf(c_43548,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,p(X0))
      | ~ mem(iPr_def_12,p(p(X0))) ),
    inference(instantiation,[status(thm)],[c_4108]) ).

tcf(c_43549,plain,
    ( mem(iPr_def_11,p(e))
    | ~ mem(iPr_def_11,iPr_def_12)
    | ~ subq(iPr_def_12,p(e)) ),
    inference(instantiation,[status(thm)],[c_43545]) ).

tcf(c_43550,plain,
    ( subq(iPr_def_12,p(e))
    | ~ mem(iPr_def_12,p(p(e))) ),
    inference(instantiation,[status(thm)],[c_43548]) ).

tcf(c_43581,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_6252,c_49]) ).

tcf(c_44232,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ~ mem(iPr_def_16,p(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_44233,plain,
    ( subq(iPr_def_16,e)
    | ~ mem(iPr_def_16,p(e)) ),
    inference(instantiation,[status(thm)],[c_44232]) ).

tcf(c_44238,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(X0))
      | ~ mem(iPr_def_12,iPr_def_16)
      | ~ subq(iPr_def_16,p(X0)) ),
    inference(instantiation,[status(thm)],[c_12213]) ).

tcf(c_44241,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(X0))
      | ~ mem(iPr_def_16,p(p(X0))) ),
    inference(instantiation,[status(thm)],[c_4108]) ).

tcf(c_44242,plain,
    ( mem(iPr_def_12,p(e))
    | ~ mem(iPr_def_12,iPr_def_16)
    | ~ subq(iPr_def_16,p(e)) ),
    inference(instantiation,[status(thm)],[c_44238]) ).

tcf(c_44243,plain,
    ( subq(iPr_def_16,p(e))
    | ~ mem(iPr_def_16,p(p(e))) ),
    inference(instantiation,[status(thm)],[c_44241]) ).

tcf(c_44247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X0)
      | ~ subq(X2,X1)
      | ( iPr_def_16 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_673]) ).

tcf(c_44248,plain,
    ( subq(iPr_def_16,e)
    | ~ subq(e,e)
    | ( iPr_def_16 != e )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_44247]) ).

tcf(c_44471,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_6573,c_49]) ).

tcf(c_44784,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | ~ mem(iPr_def_19,iPr_def_20)
    | ~ subq(iPr_def_20,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_12375]) ).

tcf(c_44931,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ~ subq(iPr_def_22,X0) ),
    inference(superposition,[status(thm)],[c_6584,c_49]) ).

tcf(c_45143,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | ~ mem(iPr_def_11,p(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_45144,plain,
    ( subq(iPr_def_11,e)
    | ~ mem(iPr_def_11,p(e)) ),
    inference(instantiation,[status(thm)],[c_45143]) ).

tcf(c_45420,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_7226,c_49]) ).

tcf(c_45604,plain,
    ( subq(iPr_def_22,iPr_def_17)
    | ( sK0(iPr_def_17,iPr_def_22) = iPr_def_16 )
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_41441,c_669]) ).

tcf(c_45906,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( iPr_def_16 != s(iPr_def_12) )
      | ( s(X0) != s(iPr_def_12) ) ),
    inference(instantiation,[status(thm)],[c_14900]) ).

tcf(c_45907,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_12) )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_675]) ).

tcf(c_46205,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( iPr_def_19 != iPr_def_12 )
    | ( iPr_def_12 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_15011]) ).

tcf(c_46580,plain,
    ( subq(iPr_def_22,iPr_def_17)
    | ~ atleast3p(iPr_def_17) ),
    inference(global_subsumption_just,[status(thm)],[c_45604,c_16471]) ).

tcf(c_46590,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_46580,c_27488]) ).

tcf(c_46939,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_13) )
      | ( X0 != iPr_def_13 ) ),
    inference(instantiation,[status(thm)],[c_675]) ).

tcf(c_47238,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ~ subq(iPr_def_16,iPr_def_13)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_3075]) ).

tcf(c_47584,plain,
    ( subq(iPr_def_19,iPr_def_19)
    | ~ mem(sK0(iPr_def_19,iPr_def_19),iPr_def_19) ),
    inference(instantiation,[status(thm)],[c_14295]) ).

tcf(c_48113,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_46590,c_17078]) ).

tcf(c_48509,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = X0 )
      | ~ mem(iPr_def_12,s(X0)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_48542,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | ~ mem(iPr_def_13,p(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_48543,plain,
    ( subq(iPr_def_13,e)
    | ~ mem(iPr_def_13,p(e)) ),
    inference(instantiation,[status(thm)],[c_48542]) ).

tcf(c_49081,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_21)
      | mem(iPr_def_19,iPr_def_16)
      | mem(iPr_def_19,X0)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_20099,c_51]) ).

tcf(c_49084,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_16)
    | ( iPr_def_16 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_20099,c_1250]) ).

tcf(c_51476,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | ~ mem(iPr_def_16,s(iPr_def_16))
    | ( iPr_def_17 != s(iPr_def_16) )
    | ( iPr_def_12 != iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_2297]) ).

tcf(c_51477,plain,
    ( ( iPr_def_16 = iPr_def_12 )
    | ( iPr_def_16 != iPr_def_16 )
    | ( iPr_def_12 != iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_14903]) ).

tcf(c_51489,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_12)
      | ~ mem(X1,iPr_def_19)
      | ( iPr_def_12 != iPr_def_19 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_3214]) ).

tcf(c_51490,plain,
    ( mem(e,iPr_def_12)
    | ~ mem(e,iPr_def_19)
    | ( iPr_def_12 != iPr_def_19 )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_51489]) ).

tcf(c_51530,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_16)
      | ~ mem(X1,iPr_def_19)
      | ( iPr_def_16 != iPr_def_19 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_3214]) ).

tcf(c_51531,plain,
    ( mem(e,iPr_def_16)
    | ~ mem(e,iPr_def_19)
    | ( iPr_def_16 != iPr_def_19 )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_51530]) ).

tcf(c_51532,plain,
    ~ atleast3p(iPr_def_17),
    inference(global_subsumption_just,[status(thm)],[c_48113,c_68,c_69,c_74,c_1268,c_1282,c_3080,c_14906,c_16544,c_16612,c_30949,c_51477,c_51531]) ).

tcf(c_51542,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_42361,c_42362]) ).

tcf(c_52188,plain,
    ( atleast3p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_13)
    | ~ atleast2p(iPr_def_13)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(instantiation,[status(thm)],[c_14060]) ).

tcf(c_54096,plain,
    ! [X0: $i] :
      ( ~ atleast3p(s(X0))
      | ( sK0(s(X0),iPr_def_22) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_33293,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3041,c_3162,c_5028,c_15004,c_15012,c_46205,c_48509,c_51490]) ).

tcf(c_54097,plain,
    ! [X0: $i] :
      ( ( sK0(s(X0),iPr_def_22) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(renaming,[status(thm)],[c_54096]) ).

tcf(c_59845,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ( iPr_def_12 = iPr_def_19 )
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_14971,c_1249]) ).

tcf(c_60400,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_16) ),
    inference(global_subsumption_just,[status(thm)],[c_49081,c_68,c_74,c_1183,c_1282,c_1670,c_2269,c_35004,c_38610,c_43540,c_44784,c_49084,c_51531]) ).

tcf(c_60406,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_21)
      | mem(iPr_def_19,X0)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_60400,c_51]) ).

tcf(c_60409,plain,
    ( atleast3p(iPr_def_21)
    | ( iPr_def_12 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_60400,c_1249]) ).

tcf(c_60419,plain,
    atleast3p(iPr_def_21),
    inference(global_subsumption_just,[status(thm)],[c_60406,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_51490,c_60409]) ).

tcf(c_60431,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_14684,c_60419]) ).

tcf(c_60434,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4919,c_60419]) ).

tcf(c_60435,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4791,c_60419]) ).

tcf(c_60436,plain,
    iPr_def_21 = iPr_def_22,
    inference(backward_subsumption_resolution,[status(thm)],[c_4784,c_60419]) ).

tcf(c_60529,plain,
    ! [X0: $i] :
      ( ( sK0(s(X0),iPr_def_21) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(demodulation,[status(thm)],[c_54097,c_60436]) ).

tcf(c_60565,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(demodulation,[status(thm)],[c_44931,c_60436]) ).

tcf(c_60625,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(demodulation,[status(thm)],[c_32079,c_60436]) ).

tcf(c_60636,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(demodulation,[status(thm)],[c_30781,c_60436]) ).

tcf(c_60642,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(demodulation,[status(thm)],[c_29908,c_60436]) ).

tcf(c_60660,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(demodulation,[status(thm)],[c_28708,c_60436]) ).

tcf(c_60750,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_3161,c_60436]) ).

tcf(c_60764,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_1516,c_60436]) ).

tcf(c_60766,plain,
    u(iPr_def_15,iPr_def_21) = iPr_def_21,
    inference(demodulation,[status(thm)],[c_668,c_60436]) ).

tcf(c_60767,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(demodulation,[status(thm)],[c_669,c_60436]) ).

tcf(c_61510,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_18)
    | subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_60431,c_16280]) ).

tcf(c_62247,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_10)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_61510,c_1617]) ).

tcf(c_62339,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_62247,c_4951]) ).

tcf(c_62340,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_18)
    | ( e = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_62247,c_1246]) ).

tcf(c_63001,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(global_subsumption_just,[status(thm)],[c_62339,c_69,c_662,c_1181,c_1670,c_2269,c_2296,c_3080,c_6312,c_8160,c_12224,c_12599,c_14906,c_35004,c_43540,c_51477,c_62340]) ).

tcf(c_63517,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_10,iPr_def_12) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_4952]) ).

tcf(c_63522,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(iPr_def_10,iPr_def_14) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_1248]) ).

tcf(c_63525,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_10,iPr_def_16) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_1249]) ).

tcf(c_63528,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(iPr_def_10,iPr_def_17) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_1250]) ).

tcf(c_63530,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_10,iPr_def_20) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_1251]) ).

tcf(c_63534,plain,
    ( mem(e,iPr_def_14)
    | mem(e,iPr_def_12)
    | ( sK0(iPr_def_10,iPr_def_15) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_1716]) ).

tcf(c_63535,plain,
    ( mem(e,iPr_def_17)
    | mem(e,iPr_def_16)
    | ( sK0(iPr_def_10,iPr_def_18) = e ) ),
    inference(superposition,[status(thm)],[c_4882,c_1717]) ).

tcf(c_64106,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_15160,c_44471]) ).

tcf(c_64207,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_19,iPr_def_13)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_15164,c_65]) ).

tcf(c_64240,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_19,iPr_def_13)
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_64207,c_14909]) ).

tcf(c_64318,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_9135,c_60]) ).

tcf(c_64319,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_9135,c_63]) ).

tcf(c_64322,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_9135,c_1246]) ).

tcf(c_64398,plain,
    ( subq(iPr_def_13,e)
    | ( sK0(iPr_def_14,p(e)) = iPr_def_13 ) ),
    inference(instantiation,[status(thm)],[c_64319]) ).

tcf(c_64498,plain,
    sK0(iPr_def_10,iPr_def_12) = e,
    inference(global_subsumption_just,[status(thm)],[c_63517,c_68,c_69,c_74,c_1178,c_2683,c_63517]) ).

tcf(c_64500,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ~ mem(e,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64498,c_49]) ).

tcf(c_64507,plain,
    ~ mem(e,iPr_def_12),
    inference(global_subsumption_just,[status(thm)],[c_64500,c_68,c_69,c_74,c_1178,c_2683,c_5028]) ).

tcf(c_64538,plain,
    ( subq(iPr_def_21,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64319,c_60767]) ).

tcf(c_64668,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_64318,c_63]) ).

tcf(c_64671,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_10,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_64318,c_1246]) ).

tcf(c_64855,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_9208,c_55]) ).

tcf(c_64858,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_9208,c_60]) ).

tcf(c_64859,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_9208,c_63]) ).

tcf(c_64862,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_9208,c_1246]) ).

tcf(c_64877,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_9208,c_1251]) ).

tcf(c_64961,plain,
    ( subq(iPr_def_12,e)
    | ( sK0(iPr_def_16,p(e)) = iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_64859]) ).

tcf(c_64990,plain,
    iPr_def_21 = iPr_def_22,
    inference(global_subsumption_just,[status(thm)],[c_18163,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_4784,c_5028,c_51490,c_60409]) ).

tcf(c_65009,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(demodulation,[status(thm)],[c_38151,c_64990]) ).

tcf(c_65064,plain,
    ( subq(iPr_def_21,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(demodulation,[status(thm)],[c_17664,c_64990]) ).

tcf(c_65070,plain,
    u(iPr_def_15,iPr_def_21) = iPr_def_21,
    inference(demodulation,[status(thm)],[c_668,c_64990]) ).

tcf(c_65072,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(demodulation,[status(thm)],[c_669,c_64990]) ).

tcf(c_65590,plain,
    ( subq(iPr_def_15,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64538,c_60625]) ).

tcf(c_65599,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64538,c_1866]) ).

tcf(c_65600,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64538,c_1851]) ).

tcf(c_65655,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_65590,c_4123]) ).

tcf(c_66026,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X1) = X0 )
      | ( sK0(s(X1),X0) = X1 )
      | ~ subq(X0,s(X1)) ),
    inference(superposition,[status(thm)],[c_16942,c_52]) ).

tcf(c_66195,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_9283,c_60]) ).

tcf(c_66196,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_9283,c_63]) ).

tcf(c_66199,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_10) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_9283,c_1246]) ).

tcf(c_66204,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_9283,c_15108]) ).

tcf(c_66214,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_20) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_9283,c_1251]) ).

tcf(c_66281,plain,
    ( subq(iPr_def_16,e)
    | ( sK0(iPr_def_17,p(e)) = iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_66196]) ).

tcf(c_66342,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_65600,c_5243]) ).

tcf(c_66723,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_64858,c_1246]) ).

tcf(c_66959,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_10049,c_60]) ).

tcf(c_66960,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_10049,c_63]) ).

tcf(c_66963,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_10049,c_1246]) ).

tcf(c_66973,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_16) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_10049,c_1249]) ).

tcf(c_66976,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_10049,c_1250]) ).

tcf(c_67052,plain,
    ( subq(iPr_def_19,e)
    | ( sK0(iPr_def_20,p(e)) = iPr_def_19 ) ),
    inference(instantiation,[status(thm)],[c_66960]) ).

tcf(c_67227,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_66960,c_29289]) ).

tcf(c_67228,plain,
    ( subq(iPr_def_21,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_66960,c_60767]) ).

tcf(c_67311,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( sK0(iPr_def_10,s(X0)) = e )
      | ( sK0(s(X0),iPr_def_10) = X0 ) ),
    inference(superposition,[status(thm)],[c_16968,c_66026]) ).

tcf(c_67313,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(superposition,[status(thm)],[c_38574,c_66026]) ).

tcf(c_67375,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_66195,c_1246]) ).

tcf(c_67506,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | ~ subq(iPr_def_10,iPr_def_12)
      | ~ mem(X0,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_2670]) ).

tcf(c_67507,plain,
    ( mem(e,iPr_def_12)
    | ~ mem(e,iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_12) ),
    inference(instantiation,[status(thm)],[c_67506]) ).

tcf(c_67541,plain,
    ( subq(iPr_def_19,iPr_def_19)
    | mem(sK0(iPr_def_19,iPr_def_19),iPr_def_19) ),
    inference(instantiation,[status(thm)],[c_14294]) ).

tcf(c_67729,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_67228,c_60434]) ).

tcf(c_67730,plain,
    ( subq(iPr_def_17,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_67228,c_45420]) ).

tcf(c_67857,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_67729,c_1224]) ).

tcf(c_67878,plain,
    ( ~ atleast3p(iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_67730,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_67507,c_67857]) ).

tcf(c_67879,plain,
    ( ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(renaming,[status(thm)],[c_67878]) ).

tcf(c_67929,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_66959,c_63]) ).

tcf(c_67932,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_66959,c_1246]) ).

tcf(c_70081,plain,
    ( ( iPr_def_19 = iPr_def_12 )
    | ( iPr_def_19 != iPr_def_13 )
    | ( iPr_def_12 != iPr_def_13 ) ),
    inference(instantiation,[status(thm)],[c_15012]) ).

tcf(c_70535,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64668,c_60767]) ).

tcf(c_71443,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_70535,c_1866]) ).

tcf(c_71560,plain,
    ( ( s(iPr_def_10) = iPr_def_10 )
    | ( sK0(iPr_def_12,iPr_def_10) = iPr_def_10 )
    | ( sK0(iPr_def_10,s(iPr_def_10)) = e ) ),
    inference(superposition,[status(thm)],[c_26877,c_67311]) ).

tcf(c_71564,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_12,iPr_def_10) = iPr_def_10 )
    | ( sK0(iPr_def_10,iPr_def_12) = e ) ),
    inference(light_normalisation,[status(thm)],[c_71560,c_26877]) ).

tcf(c_73245,plain,
    ! [X0: $i] : m(X0,X0) = e,
    inference(superposition,[status(thm)],[c_18264,c_17387]) ).

tcf(c_73624,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_67929,c_60767]) ).

tcf(c_73747,plain,
    ! [X0: $i] : subq(m(iPr_def_18,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_16981,c_17352]) ).

tcf(c_73749,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_17112,c_17352]) ).

tcf(c_73852,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_17112,c_17355]) ).

tcf(c_73879,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_73624,c_60434]) ).

tcf(c_73880,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_73624,c_45420]) ).

tcf(c_74063,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_73879,c_1224]) ).

tcf(c_74088,plain,
    ! [X0: $i] :
      ( ~ atleast3p(iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_73880,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_67507,c_74063]) ).

tcf(c_74089,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(renaming,[status(thm)],[c_74088]) ).

tcf(c_74134,plain,
    ! [X0: $i,X1: $i] : subq(X0,u(X0,X1)),
    inference(superposition,[status(thm)],[c_50,c_1380]) ).

tcf(c_74139,plain,
    ! [X0: $i,X1: $i,X2: $i] : subq(m(X0,X1),u(X0,X2)),
    inference(superposition,[status(thm)],[c_1454,c_1380]) ).

tcf(c_74144,plain,
    ! [X0: $i] : subq(iPr_def_12,u(iPr_def_13,X0)),
    inference(superposition,[status(thm)],[c_1792,c_1380]) ).

tcf(c_74168,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_12,iPr_def_14))
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_661,c_1380]) ).

tcf(c_74169,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_16,iPr_def_17))
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_1380]) ).

tcf(c_74170,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_18,iPr_def_20))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_1380]) ).

tcf(c_74207,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_18) ),
    inference(light_normalisation,[status(thm)],[c_74170,c_667]) ).

tcf(c_74210,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_74169,c_664]) ).

tcf(c_74213,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_74168,c_661]) ).

tcf(c_74392,plain,
    ! [X0: $i] : mem(e,u(iPr_def_13,X0)),
    inference(superposition,[status(thm)],[c_74134,c_1784]) ).

tcf(c_74588,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ~ mem(X1,iPr_def_13)
      | ( X2 != iPr_def_13 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_74589,plain,
    ( mem(e,e)
    | ~ mem(e,iPr_def_13)
    | ( e != iPr_def_13 )
    | ( e != e ) ),
    inference(instantiation,[status(thm)],[c_74588]) ).

tcf(c_74666,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 ) ),
    inference(global_subsumption_just,[status(thm)],[c_67313,c_662,c_45906,c_45907,c_64855]) ).

tcf(c_74674,plain,
    ( ( s(iPr_def_13) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_660,c_74666]) ).

tcf(c_74676,plain,
    ( ( s(iPr_def_16) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_663,c_74666]) ).

tcf(c_74689,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_74676,c_663]) ).

tcf(c_74694,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_74674,c_660]) ).

tcf(c_74927,plain,
    ! [X0: $i] : subq(m(iPr_def_20,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_16981,c_17841]) ).

tcf(c_74928,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_17112,c_17841]) ).

tcf(c_74947,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_17112,c_17844]) ).

tcf(c_75134,plain,
    ! [X0: $i] : subq(m(iPr_def_18,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_1454,c_74207]) ).

tcf(c_75136,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_1605,c_74207]) ).

tcf(c_75244,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | subq(u(iPr_def_13,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_74144,c_65]) ).

tcf(c_75289,plain,
    ( subq(iPr_def_19,iPr_def_16)
    | ~ mem(iPr_def_19,p(iPr_def_16)) ),
    inference(instantiation,[status(thm)],[c_14139]) ).

tcf(c_75405,plain,
    ! [X0: $i] : subq(m(iPr_def_16,X0),iPr_def_18),
    inference(superposition,[status(thm)],[c_1454,c_74210]) ).

tcf(c_75406,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_1605,c_74210]) ).

tcf(c_75414,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_6573,c_74210]) ).

tcf(c_75444,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_17112,c_17847]) ).

tcf(c_75512,plain,
    ! [X0: $i] : subq(m(iPr_def_12,X0),iPr_def_15),
    inference(superposition,[status(thm)],[c_1454,c_74213]) ).

tcf(c_75513,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_1605,c_74213]) ).

tcf(c_75560,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_13)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_17112,c_17850]) ).

tcf(c_75570,plain,
    ( subq(e,iPr_def_13)
    | ~ subq(e,iPr_def_12) ),
    inference(instantiation,[status(thm)],[c_75560]) ).

tcf(c_76019,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,X0)
      | ~ mem(X0,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_21074,c_26858]) ).

tcf(c_76357,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(X0))
      | ~ subq(iPr_def_12,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_77949,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(X0))
      | ~ subq(iPr_def_11,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_78919,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(iPr_def_10,X0)) = iPr_def_13,
    inference(global_subsumption_just,[status(thm)],[c_64671,c_68,c_69,c_74,c_1178,c_1397,c_1441,c_64671,c_74589]) ).

tcf(c_78922,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ~ mem(iPr_def_13,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_78919,c_49]) ).

tcf(c_79005,plain,
    sK0(iPr_def_10,iPr_def_12) = e,
    inference(global_subsumption_just,[status(thm)],[c_71564,c_68,c_69,c_74,c_1178,c_2683,c_63517]) ).

tcf(c_79164,plain,
    ( ( iPr_def_14 = s(iPr_def_12) )
    | ( iPr_def_14 != s(iPr_def_13) )
    | ( s(iPr_def_12) != s(iPr_def_13) ) ),
    inference(instantiation,[status(thm)],[c_21450]) ).

tcf(c_79165,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( iPr_def_16 != s(iPr_def_12) )
    | ( iPr_def_14 != s(iPr_def_12) ) ),
    inference(instantiation,[status(thm)],[c_14900]) ).

tcf(c_79292,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(iPr_def_13,X0),X1) ),
    inference(superposition,[status(thm)],[c_74392,c_51]) ).

tcf(c_79532,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(X0))
      | ~ subq(iPr_def_13,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_80167,plain,
    ( mem(iPr_def_19,p(iPr_def_19))
    | ~ subq(iPr_def_19,iPr_def_19) ),
    inference(instantiation,[status(thm)],[c_42607]) ).

tcf(c_80183,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_75134,c_60767]) ).

tcf(c_80361,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_80183,c_60435]) ).

tcf(c_81058,plain,
    ! [X0: $i] : subq(m(iPr_def_15,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_60766,c_74139]) ).

tcf(c_81074,plain,
    ( ( iPr_def_19 = iPr_def_12 )
    | ( iPr_def_19 != iPr_def_11 )
    | ( iPr_def_12 != iPr_def_11 ) ),
    inference(instantiation,[status(thm)],[c_15012]) ).

tcf(c_81078,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_81058,c_60767]) ).

tcf(c_81121,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_81078,c_1866]) ).

tcf(c_81206,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ( iPr_def_13 != iPr_def_19 )
      | ( X0 != iPr_def_19 ) ),
    inference(instantiation,[status(thm)],[c_2888]) ).

tcf(c_81362,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_11 )
      | ( iPr_def_11 != iPr_def_19 )
      | ( X0 != iPr_def_19 ) ),
    inference(instantiation,[status(thm)],[c_2801]) ).

tcf(c_83116,plain,
    ! [X0: $i] : subq(m(iPr_def_16,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_75405,c_75136]) ).

tcf(c_83176,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_83116,c_60767]) ).

tcf(c_83215,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_83176,c_60434]) ).

tcf(c_84826,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_10,X0))
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_59,c_78922]) ).

tcf(c_84998,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | subq(sK0(iPr_def_19,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_1288,c_75513]) ).

tcf(c_88416,plain,
    ( mem(iPr_def_19,e)
    | ~ atleast3p(m(iPr_def_21,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_73245,c_65009]) ).

tcf(c_88420,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_88416,c_53]) ).

tcf(c_90236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X2))) = iPr_def_19 )
      | ~ mem(X0,X2)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_67227,c_61]) ).

tcf(c_90237,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_67227,c_60]) ).

tcf(c_90250,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_67227,c_75512]) ).

tcf(c_91324,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_90237,c_90236]) ).

tcf(c_95982,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_34912,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_64106,c_67507]) ).

tcf(c_95991,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_95982,c_76019]) ).

tcf(c_96219,plain,
    ( ( s(iPr_def_12) = s(iPr_def_13) )
    | ( iPr_def_12 != iPr_def_13 ) ),
    inference(instantiation,[status(thm)],[c_46939]) ).

tcf(c_96549,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_73747,c_65072]) ).

tcf(c_96561,plain,
    ( subq(iPr_def_21,e)
    | ~ atleast3p(m(iPr_def_18,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_73245,c_96549]) ).

tcf(c_96944,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_74927,c_65072]) ).

tcf(c_97068,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_96944,c_31443]) ).

tcf(c_97153,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_97068,c_60]) ).

tcf(c_98182,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(iPr_def_13,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_75244,c_79292]) ).

tcf(c_98184,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_98182,c_64507]) ).

tcf(c_100061,plain,
    ! [X0: $i] : subq(m(iPr_def_15,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_65070,c_17339]) ).

tcf(c_100103,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_100061,c_65072]) ).

tcf(c_100118,plain,
    subq(iPr_def_19,p(iPr_def_15)),
    inference(superposition,[status(thm)],[c_84998,c_1236]) ).

tcf(c_100359,plain,
    ( subq(iPr_def_21,e)
    | ~ atleast3p(m(iPr_def_15,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_73245,c_100103]) ).

tcf(c_100828,plain,
    mem(iPr_def_12,p(iPr_def_15)),
    inference(superposition,[status(thm)],[c_100118,c_1617]) ).

tcf(c_100829,plain,
    mem(e,p(iPr_def_15)),
    inference(superposition,[status(thm)],[c_100118,c_1616]) ).

tcf(c_100864,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(p(iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_100828,c_51]) ).

tcf(c_100998,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_15))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_64,c_100864]) ).

tcf(c_101030,plain,
    ( atleast2p(p(iPr_def_15))
    | mem(iPr_def_12,p(e))
    | ~ mem(e,p(iPr_def_15)) ),
    inference(instantiation,[status(thm)],[c_100998]) ).

tcf(c_107821,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_14)
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_84826,c_6696]) ).

tcf(c_109194,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_50,c_91324]) ).

tcf(c_109200,plain,
    sK0(iPr_def_20,p(s(p(e)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_7769,c_91324]) ).

tcf(c_109201,plain,
    sK0(iPr_def_20,p(s(iPr_def_10))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_1178,c_91324]) ).

tcf(c_109371,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_60750,c_91324]) ).

tcf(c_109385,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_60660,c_91324]) ).

tcf(c_109398,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_60642,c_91324]) ).

tcf(c_109440,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_80361,c_91324]) ).

tcf(c_109445,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_81121,c_91324]) ).

tcf(c_109487,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_83215,c_91324]) ).

tcf(c_109504,plain,
    sK0(iPr_def_20,iPr_def_19) = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_109201,c_665,c_4956]) ).

tcf(c_109858,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_109194,c_75406]) ).

tcf(c_109894,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_109194,c_60767]) ).

tcf(c_109895,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_109194,c_75136]) ).

tcf(c_110237,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_109894,c_52]) ).

tcf(c_110244,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_109894,c_60625]) ).

tcf(c_110342,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_110244,c_52]) ).

tcf(c_110813,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_110237,c_109895,c_110237]) ).

tcf(c_121830,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ~ mem(iPr_def_12,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_74689,c_49]) ).

tcf(c_122093,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ mem(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_74694,c_49]) ).

tcf(c_124755,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_65064,c_18114]) ).

tcf(c_124928,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_15)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_17112,c_124755]) ).

tcf(c_128168,plain,
    ! [X0: $i,X1: $i] : subq(X0,u(X1,X0)),
    inference(superposition,[status(thm)],[c_50,c_1421]) ).

tcf(c_128178,plain,
    ! [X0: $i] : subq(iPr_def_12,u(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_1792,c_1421]) ).

tcf(c_128536,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,u(X0,iPr_def_19))
      | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_128168,c_39321]) ).

tcf(c_128618,plain,
    ! [X0: $i] : mem(e,u(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_128168,c_1784]) ).

tcf(c_129370,plain,
    ( mem(iPr_def_12,p(iPr_def_13))
    | ~ subq(iPr_def_12,iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_76357]) ).

tcf(c_129906,plain,
    ( mem(iPr_def_11,p(iPr_def_11))
    | ~ subq(iPr_def_11,iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_77949]) ).

tcf(c_129908,plain,
    ( subq(iPr_def_11,iPr_def_11)
    | mem(sK0(iPr_def_11,iPr_def_11),iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_13920]) ).

tcf(c_129910,plain,
    ( subq(iPr_def_11,iPr_def_11)
    | ~ mem(sK0(iPr_def_11,iPr_def_11),iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

tcf(c_129911,plain,
    ( mem(iPr_def_11,p(iPr_def_13))
    | ~ subq(iPr_def_11,iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_77949]) ).

tcf(c_130145,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | subq(u(X0,iPr_def_13),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_128178,c_65]) ).

tcf(c_130171,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_21,X1)
      | ~ atleast3p(iPr_def_12)
      | ~ subq(u(X0,iPr_def_19),X1) ),
    inference(superposition,[status(thm)],[c_128536,c_51]) ).

tcf(c_133004,plain,
    ( mem(iPr_def_13,p(iPr_def_13))
    | ~ subq(iPr_def_13,iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_79532]) ).

tcf(c_133006,plain,
    ( subq(iPr_def_13,iPr_def_13)
    | mem(sK0(iPr_def_13,iPr_def_13),iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_14054]) ).

tcf(c_133008,plain,
    ( subq(iPr_def_13,iPr_def_13)
    | ~ mem(sK0(iPr_def_13,iPr_def_13),iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_14055]) ).

tcf(c_133257,plain,
    ( ( iPr_def_19 = iPr_def_13 )
    | ( iPr_def_19 != iPr_def_19 )
    | ( iPr_def_13 != iPr_def_19 ) ),
    inference(instantiation,[status(thm)],[c_81206]) ).

tcf(c_133291,plain,
    ( ( iPr_def_19 = iPr_def_11 )
    | ( iPr_def_19 != iPr_def_19 )
    | ( iPr_def_11 != iPr_def_19 ) ),
    inference(instantiation,[status(thm)],[c_81362]) ).

tcf(c_134877,plain,
    ~ atleast3p(iPr_def_12),
    inference(global_subsumption_just,[status(thm)],[c_130171,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_13012,c_16595,c_43408,c_46205,c_51490,c_81074,c_133291]) ).

tcf(c_135421,plain,
    ~ atleast3p(iPr_def_14),
    inference(global_subsumption_just,[status(thm)],[c_107821,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_6660,c_6698,c_46205,c_51490,c_70081,c_133257]) ).

tcf(c_136748,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(X0,iPr_def_13),X1) ),
    inference(superposition,[status(thm)],[c_128618,c_51]) ).

tcf(c_137263,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(X0,iPr_def_13))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_130145,c_136748]) ).

tcf(c_137297,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_137263,c_64507]) ).

tcf(c_144912,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_34133,c_122093]) ).

tcf(c_146499,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ( iPr_def_14 = iPr_def_16 ) ),
    inference(global_subsumption_just,[status(thm)],[c_144912,c_660,c_662,c_14463,c_79164,c_79165,c_96219]) ).

tcf(c_146500,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(renaming,[status(thm)],[c_146499]) ).

tcf(c_147823,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_65655,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_9313,c_15989,c_23057,c_46205,c_51490,c_65599,c_67507,c_70081,c_133257]) ).

tcf(c_147833,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_147823,c_5243]) ).

tcf(c_148576,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | subq(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_66342,c_22999]) ).

tcf(c_154815,plain,
    ! [X0: $i,X1: $i] : subq(m(X0,X0),X1),
    inference(superposition,[status(thm)],[c_1454,c_1462]) ).

tcf(c_154886,plain,
    ! [X0: $i] : m(X0,X0) = e,
    inference(superposition,[status(thm)],[c_154815,c_1204]) ).

tcf(c_155093,plain,
    ( mem(e,iPr_def_21)
    | ~ subq(iPr_def_19,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_154886,c_29317]) ).

tcf(c_155094,plain,
    ( mem(e,iPr_def_21)
    | ~ subq(iPr_def_19,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_154886,c_29312]) ).

tcf(c_155096,plain,
    ( mem(e,iPr_def_18)
    | ~ subq(iPr_def_19,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_154886,c_29308]) ).

tcf(c_155098,plain,
    ( mem(e,iPr_def_15)
    | ~ subq(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_154886,c_29302]) ).

tcf(c_155099,plain,
    ( mem(e,iPr_def_15)
    | ~ subq(iPr_def_19,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_154886,c_29300]) ).

tcf(c_156295,plain,
    ( mem(e,iPr_def_15)
    | subq(iPr_def_10,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_79005,c_124928]) ).

tcf(c_168159,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ~ mem(X1,iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_168169,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_11 )
      | ( iPr_def_11 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_168790,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ~ mem(iPr_def_11,iPr_def_12)
      | ( X1 != iPr_def_12 )
      | ( X0 != iPr_def_11 ) ),
    inference(instantiation,[status(thm)],[c_674]) ).

tcf(c_169020,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,p(X0))
      | ~ mem(X1,iPr_def_10)
      | ~ subq(iPr_def_10,p(X0)) ),
    inference(instantiation,[status(thm)],[c_168159]) ).

tcf(c_169023,plain,
    ! [X0: $i] :
      ( ( iPr_def_11 = X0 )
      | ~ subq(iPr_def_11,X0)
      | ~ subq(X0,iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_169045,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_16 = X0 )
      | ( iPr_def_16 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_170416,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_11,X1)
      | ~ mem(iPr_def_11,m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_170417,plain,
    ( mem(iPr_def_11,e)
    | ~ mem(iPr_def_11,m(iPr_def_12,e))
    | ~ subq(m(iPr_def_12,e),e) ),
    inference(instantiation,[status(thm)],[c_170416]) ).

tcf(c_172303,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ mem(iPr_def_11,iPr_def_12)
      | ( iPr_def_11 != iPr_def_11 )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_168790]) ).

tcf(c_172304,plain,
    ( mem(iPr_def_11,e)
    | ~ mem(iPr_def_11,iPr_def_12)
    | ( iPr_def_11 != iPr_def_11 )
    | ( e != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_172303]) ).

tcf(c_172581,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(X0))
      | ~ mem(iPr_def_19,iPr_def_10)
      | ~ subq(iPr_def_10,p(X0)) ),
    inference(instantiation,[status(thm)],[c_169020]) ).

tcf(c_172582,plain,
    ( mem(iPr_def_19,p(e))
    | ~ mem(iPr_def_19,iPr_def_10)
    | ~ subq(iPr_def_10,p(e)) ),
    inference(instantiation,[status(thm)],[c_172581]) ).

tcf(c_172646,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = X0 )
      | ( iPr_def_16 != iPr_def_16 )
      | ( X0 != iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_169045]) ).

tcf(c_172647,plain,
    ( ( iPr_def_16 = e )
    | ( iPr_def_16 != iPr_def_16 )
    | ( e != iPr_def_16 ) ),
    inference(instantiation,[status(thm)],[c_172646]) ).

tcf(c_173336,plain,
    ( ( iPr_def_11 = iPr_def_10 )
    | ~ subq(iPr_def_11,iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_11) ),
    inference(instantiation,[status(thm)],[c_169023]) ).

tcf(c_175443,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ~ subq(iPr_def_14,X0)
      | ~ subq(X0,iPr_def_14) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_175450,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ~ subq(iPr_def_17,X0)
      | ~ subq(X0,iPr_def_17) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_175457,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ~ subq(iPr_def_20,X0)
      | ~ subq(X0,iPr_def_20) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_176284,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_11 )
      | ( iPr_def_11 != iPr_def_10 )
      | ( X0 != iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_168169]) ).

tcf(c_176290,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ mem(iPr_def_11,iPr_def_12)
      | ( iPr_def_10 != iPr_def_11 )
      | ( X0 != iPr_def_12 ) ),
    inference(instantiation,[status(thm)],[c_168790]) ).

tcf(c_178767,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,iPr_def_12)
      | ~ mem(iPr_def_10,m(X0,iPr_def_12)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_180963,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(light_normalisation,[status(thm)],[c_669,c_60436]) ).

tcf(c_180967,plain,
    ( ( sK0(iPr_def_10,iPr_def_21) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_8652,c_60436]) ).

tcf(c_180974,plain,
    mem(e,iPr_def_10),
    inference(superposition,[status(thm)],[c_656,c_54]) ).

tcf(c_180975,plain,
    mem(iPr_def_11,iPr_def_12),
    inference(superposition,[status(thm)],[c_658,c_54]) ).

tcf(c_180976,plain,
    mem(iPr_def_13,iPr_def_14),
    inference(superposition,[status(thm)],[c_660,c_54]) ).

tcf(c_180977,plain,
    mem(iPr_def_12,iPr_def_16),
    inference(superposition,[status(thm)],[c_662,c_54]) ).

tcf(c_180978,plain,
    mem(iPr_def_16,iPr_def_17),
    inference(superposition,[status(thm)],[c_663,c_54]) ).

tcf(c_180979,plain,
    mem(iPr_def_19,iPr_def_20),
    inference(superposition,[status(thm)],[c_666,c_54]) ).

tcf(c_180980,plain,
    u(iPr_def_15,iPr_def_21) = iPr_def_21,
    inference(light_normalisation,[status(thm)],[c_668,c_60436]) ).

tcf(c_180985,plain,
    ! [X0: $i] : subq(e,X0),
    inference(superposition,[status(thm)],[c_50,c_53]) ).

tcf(c_180986,plain,
    ( subq(iPr_def_21,e)
    | ~ atleast3p(e) ),
    inference(superposition,[status(thm)],[c_180985,c_180963]) ).

tcf(c_180993,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_19)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_62]) ).

tcf(c_181000,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(X0),X1)
      | subq(sK0(p(X0),X1),X0) ),
    inference(superposition,[status(thm)],[c_50,c_63]) ).

tcf(c_181002,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_12)
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_63]) ).

tcf(c_181011,plain,
    ! [X0: $i] : subq(X0,X0),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

tcf(c_181012,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,p(X1))
      | ~ subq(sK0(X0,p(X1)),X1) ),
    inference(superposition,[status(thm)],[c_62,c_49]) ).

tcf(c_181019,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),X1)
      | ( sK0(s(X0),X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_50,c_55]) ).

tcf(c_181021,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_55]) ).

tcf(c_181022,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_11 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_658,c_55]) ).

tcf(c_181023,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_660,c_55]) ).

tcf(c_181024,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_662,c_55]) ).

tcf(c_181025,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_663,c_55]) ).

tcf(c_181026,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_666,c_55]) ).

tcf(c_181041,plain,
    ( subq(iPr_def_21,iPr_def_21)
    | ~ atleast3p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181011,c_180963]) ).

tcf(c_181042,plain,
    ~ atleast3p(e),
    inference(global_subsumption_just,[status(thm)],[c_180986,c_2447]) ).

tcf(c_181048,plain,
    mem(e,iPr_def_19),
    inference(superposition,[status(thm)],[c_180985,c_180993]) ).

tcf(c_181049,plain,
    mem(iPr_def_12,iPr_def_19),
    inference(superposition,[status(thm)],[c_181011,c_180993]) ).

tcf(c_181054,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | subq(sK0(iPr_def_19,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_50,c_181002]) ).

tcf(c_181055,plain,
    subq(e,iPr_def_12),
    inference(superposition,[status(thm)],[c_181048,c_181002]) ).

tcf(c_181056,plain,
    subq(iPr_def_12,iPr_def_12),
    inference(superposition,[status(thm)],[c_181049,c_181002]) ).

tcf(c_181063,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = e ) ),
    inference(superposition,[status(thm)],[c_50,c_181021]) ).

tcf(c_181071,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_50,c_181022]) ).

tcf(c_181079,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_50,c_181023]) ).

tcf(c_181087,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_50,c_181024]) ).

tcf(c_181095,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_50,c_181025]) ).

tcf(c_181103,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_50,c_181026]) ).

tcf(c_181111,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | subq(sK0(iPr_def_19,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_181000]) ).

tcf(c_181112,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | mem(sK0(p(iPr_def_12),X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181000,c_180993]) ).

tcf(c_181113,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_21,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181000,c_180963]) ).

tcf(c_181115,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(sK0(iPr_def_19,X0),iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_181112,c_665]) ).

tcf(c_181126,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ~ mem(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_659,c_56]) ).

tcf(c_181127,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_661,c_56]) ).

tcf(c_181128,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_56]) ).

tcf(c_181129,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_56]) ).

tcf(c_181130,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_180980,c_56]) ).

tcf(c_181131,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X1) ),
    inference(superposition,[status(thm)],[c_56,c_49]) ).

tcf(c_181148,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_11)
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_657,c_57]) ).

tcf(c_181149,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_659,c_57]) ).

tcf(c_181150,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_57]) ).

tcf(c_181151,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_57]) ).

tcf(c_181152,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_57]) ).

tcf(c_181154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X2) ),
    inference(superposition,[status(thm)],[c_57,c_49]) ).

tcf(c_181173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | mem(sK0(m(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_50,c_60]) ).

tcf(c_181180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | ~ mem(sK0(m(X0,X1),X2),X1) ),
    inference(superposition,[status(thm)],[c_50,c_61]) ).

tcf(c_181187,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_50,c_181126]) ).

tcf(c_181196,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_50,c_181127]) ).

tcf(c_181197,plain,
    mem(iPr_def_11,iPr_def_15),
    inference(superposition,[status(thm)],[c_180975,c_181127]) ).

tcf(c_181204,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_50,c_181128]) ).

tcf(c_181205,plain,
    mem(iPr_def_12,iPr_def_18),
    inference(superposition,[status(thm)],[c_180977,c_181128]) ).

tcf(c_181220,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_50,c_181130]) ).

tcf(c_181221,plain,
    mem(iPr_def_11,iPr_def_21),
    inference(superposition,[status(thm)],[c_181197,c_181130]) ).

tcf(c_181228,plain,
    subq(iPr_def_15,iPr_def_21),
    inference(superposition,[status(thm)],[c_181220,c_49]) ).

tcf(c_181231,plain,
    ( subq(iPr_def_21,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181228,c_180963]) ).

tcf(c_181244,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_50,c_181129]) ).

tcf(c_181245,plain,
    mem(iPr_def_12,iPr_def_21),
    inference(superposition,[status(thm)],[c_181205,c_181129]) ).

tcf(c_181252,plain,
    ! [X0: $i] : subq(p(X0),p(X0)),
    inference(superposition,[status(thm)],[c_181000,c_181012]) ).

tcf(c_181253,plain,
    ! [X0: $i] :
      ( subq(X0,p(iPr_def_12))
      | ~ subq(sK0(X0,iPr_def_19),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_181012]) ).

tcf(c_181254,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_19)
      | ~ subq(sK0(X0,iPr_def_19),iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_181253,c_665]) ).

tcf(c_181263,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_665,c_64]) ).

tcf(c_181264,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,p(p(X0)))
      | atleast2p(sK0(X1,p(p(X0))))
      | ~ mem(X0,sK0(X1,p(p(X0)))) ),
    inference(superposition,[status(thm)],[c_64,c_181012]) ).

tcf(c_181283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | mem(sK0(X0,X2),X1)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

tcf(c_181284,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_54,c_51]) ).

tcf(c_181285,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_56,c_51]) ).

tcf(c_181286,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_57,c_51]) ).

tcf(c_181287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,X1)
      | ~ subq(X2,X0)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_62,c_51]) ).

tcf(c_181288,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_180974,c_51]) ).

tcf(c_181289,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_180975,c_51]) ).

tcf(c_181290,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_180976,c_51]) ).

tcf(c_181291,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_180977,c_51]) ).

tcf(c_181292,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_180978,c_51]) ).

tcf(c_181293,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_180979,c_51]) ).

tcf(c_181294,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_181048,c_51]) ).

tcf(c_181295,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_181049,c_51]) ).

tcf(c_181296,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_181197,c_51]) ).

tcf(c_181297,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_181205,c_51]) ).

tcf(c_181298,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181221,c_51]) ).

tcf(c_181299,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X1)
      | mem(sK0(iPr_def_15,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181220,c_51]) ).

tcf(c_181357,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | ( p(X0) = X1 )
      | ~ mem(X0,X1)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_64,c_52]) ).

tcf(c_181358,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ~ subq(X0,e) ),
    inference(superposition,[status(thm)],[c_180985,c_52]) ).

tcf(c_181359,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(X0),X1)
      | ( sK0(p(X0),X1) = X0 )
      | ~ subq(X0,sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_52]) ).

tcf(c_181361,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_15,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181231,c_52]) ).

tcf(c_181362,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181228,c_52]) ).

tcf(c_181363,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181113,c_52]) ).

tcf(c_181368,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_181361,c_181228]) ).

tcf(c_181395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(u(X0,X1),X2)
      | mem(sK0(u(X0,X1),X2),X1)
      | mem(sK0(u(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_50,c_58]) ).

tcf(c_181398,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_10)
      | mem(X0,e)
      | ~ mem(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_657,c_58]) ).

tcf(c_181399,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | mem(X0,iPr_def_11)
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_659,c_58]) ).

tcf(c_181400,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | mem(X0,iPr_def_12)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_661,c_58]) ).

tcf(c_181401,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | mem(X0,iPr_def_16)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_664,c_58]) ).

tcf(c_181402,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_20)
      | mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_667,c_58]) ).

tcf(c_181416,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_10)
      | ~ mem(X0,iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_181398,c_53]) ).

tcf(c_181422,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181245,c_51]) ).

tcf(c_181429,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_50,c_181148]) ).

tcf(c_181430,plain,
    mem(e,iPr_def_11),
    inference(superposition,[status(thm)],[c_180974,c_181148]) ).

tcf(c_181440,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_181430,c_51]) ).

tcf(c_181441,plain,
    mem(e,iPr_def_13),
    inference(superposition,[status(thm)],[c_181430,c_181126]) ).

tcf(c_181444,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_181441,c_51]) ).

tcf(c_181447,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_181363,c_60764]) ).

tcf(c_181463,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_181298]) ).

tcf(c_181466,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_11,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_181298]) ).

tcf(c_181480,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_11,X1)
      | subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),X1) ),
    inference(superposition,[status(thm)],[c_181466,c_51]) ).

tcf(c_181494,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_11,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,sK0(p(iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_181480]) ).

tcf(c_181513,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | mem(iPr_def_11,p(sK0(sK0(p(iPr_def_21),X0),X1)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_181494]) ).

tcf(c_181514,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(iPr_def_11))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181466,c_181494]) ).

tcf(c_181533,plain,
    mem(iPr_def_11,p(iPr_def_11)),
    inference(global_subsumption_just,[status(thm)],[c_181514,c_129906,c_129910,c_129908]) ).

tcf(c_181535,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(p(iPr_def_11),X0) ),
    inference(superposition,[status(thm)],[c_181533,c_51]) ).

tcf(c_181536,plain,
    subq(iPr_def_11,iPr_def_11),
    inference(superposition,[status(thm)],[c_181533,c_63]) ).

tcf(c_181544,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_11))
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,p(iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_64,c_181535]) ).

tcf(c_181554,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(s(e),X0) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_181019]) ).

tcf(c_181555,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(iPr_def_11),X0) = iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_658,c_181019]) ).

tcf(c_181556,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(s(iPr_def_13),X0) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_660,c_181019]) ).

tcf(c_181557,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(s(iPr_def_12),X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_662,c_181019]) ).

tcf(c_181558,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(s(iPr_def_16),X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_663,c_181019]) ).

tcf(c_181559,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(s(iPr_def_19),X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_181019]) ).

tcf(c_181560,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X1) = X0 )
      | ( sK0(s(X1),X0) = X1 )
      | ~ subq(X0,s(X1)) ),
    inference(superposition,[status(thm)],[c_181019,c_52]) ).

tcf(c_181561,plain,
    ! [X0: $i] :
      ( mem(s(X0),iPr_def_19)
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_180993]) ).

tcf(c_181562,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,s(X0))
      | ( sK0(s(X0),iPr_def_21) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_180963]) ).

tcf(c_181583,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,m(X1,X2))
      | mem(sK0(X0,m(X1,X2)),X2)
      | ~ mem(sK0(X0,m(X1,X2)),X1) ),
    inference(superposition,[status(thm)],[c_59,c_49]) ).

tcf(c_181584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X3,X2)
      | mem(X3,X1)
      | ~ mem(X3,X0)
      | ~ subq(m(X0,X1),X2) ),
    inference(superposition,[status(thm)],[c_59,c_51]) ).

tcf(c_181603,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,e)
      | ~ atleast2p(e) ),
    inference(superposition,[status(thm)],[c_180985,c_65]) ).

tcf(c_181604,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(p(X0),X1)
      | subq(X0,sK0(p(X0),X1))
      | ~ atleast2p(sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_65]) ).

tcf(c_181606,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X1)
      | subq(X1,s(X0))
      | ( sK0(s(X0),X1) = X0 )
      | ~ atleast2p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_65]) ).

tcf(c_181608,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_15)
    | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181228,c_65]) ).

tcf(c_181635,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_50,c_181149]) ).

tcf(c_181636,plain,
    mem(iPr_def_11,iPr_def_13),
    inference(superposition,[status(thm)],[c_180975,c_181149]) ).

tcf(c_181643,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_50,c_181150]) ).

tcf(c_181644,plain,
    mem(iPr_def_13,iPr_def_15),
    inference(superposition,[status(thm)],[c_180976,c_181150]) ).

tcf(c_181647,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_181636,c_51]) ).

tcf(c_181650,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_181644,c_51]) ).

tcf(c_181651,plain,
    mem(iPr_def_13,iPr_def_21),
    inference(superposition,[status(thm)],[c_181644,c_181130]) ).

tcf(c_181661,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181651,c_51]) ).

tcf(c_181668,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_50,c_181151]) ).

tcf(c_181669,plain,
    mem(iPr_def_16,iPr_def_18),
    inference(superposition,[status(thm)],[c_180978,c_181151]) ).

tcf(c_181676,plain,
    ! [X0: $i] :
      ( ~ atleast3p(s(X0))
      | ( sK0(s(X0),iPr_def_21) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_181562,c_60529]) ).

tcf(c_181677,plain,
    ! [X0: $i] :
      ( ( sK0(s(X0),iPr_def_21) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(renaming,[status(thm)],[c_181676]) ).

tcf(c_181682,plain,
    ( ( sK0(s(e),iPr_def_21) = e )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_181677]) ).

tcf(c_181683,plain,
    ( ( sK0(s(iPr_def_11),iPr_def_21) = iPr_def_11 )
    | ~ atleast3p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_658,c_181677]) ).

tcf(c_181684,plain,
    ( ( sK0(s(iPr_def_13),iPr_def_21) = iPr_def_13 )
    | ~ atleast3p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_660,c_181677]) ).

tcf(c_181685,plain,
    ( ( sK0(s(iPr_def_12),iPr_def_21) = iPr_def_12 )
    | ~ atleast3p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_662,c_181677]) ).

tcf(c_181686,plain,
    ( ( sK0(s(iPr_def_16),iPr_def_21) = iPr_def_16 )
    | ~ atleast3p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_663,c_181677]) ).

tcf(c_181687,plain,
    ( ( sK0(s(iPr_def_19),iPr_def_21) = iPr_def_19 )
    | ~ atleast3p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_666,c_181677]) ).

tcf(c_181688,plain,
    ( ( sK0(iPr_def_20,iPr_def_21) = iPr_def_19 )
    | ~ atleast3p(iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_181687,c_666]) ).

tcf(c_181691,plain,
    ( ( sK0(iPr_def_17,iPr_def_21) = iPr_def_16 )
    | ~ atleast3p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_181686,c_663]) ).

tcf(c_181694,plain,
    ( ( sK0(iPr_def_16,iPr_def_21) = iPr_def_12 )
    | ~ atleast3p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_181685,c_662]) ).

tcf(c_181697,plain,
    ( ( sK0(iPr_def_14,iPr_def_21) = iPr_def_13 )
    | ~ atleast3p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_181684,c_660]) ).

tcf(c_181700,plain,
    ( ( sK0(iPr_def_12,iPr_def_21) = iPr_def_11 )
    | ~ atleast3p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_181683,c_658]) ).

tcf(c_181713,plain,
    ~ atleast3p(iPr_def_20),
    inference(global_subsumption_just,[status(thm)],[c_181688,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_7354,c_51490]) ).

tcf(c_181716,plain,
    ~ atleast3p(iPr_def_17),
    inference(global_subsumption_just,[status(thm)],[c_181691,c_51532]) ).

tcf(c_181718,plain,
    ~ atleast3p(iPr_def_16),
    inference(global_subsumption_just,[status(thm)],[c_181694,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_8730,c_51490]) ).

tcf(c_181720,plain,
    ~ atleast3p(iPr_def_14),
    inference(global_subsumption_just,[status(thm)],[c_181697,c_135421]) ).

tcf(c_181722,plain,
    ~ atleast3p(iPr_def_12),
    inference(global_subsumption_just,[status(thm)],[c_181700,c_134877]) ).

tcf(c_181730,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_11))
      | subq(p(iPr_def_11),X0)
      | mem(iPr_def_11,p(sK0(p(iPr_def_11),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_181544]) ).

tcf(c_181731,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_11))
      | mem(iPr_def_11,p(X0))
      | ~ subq(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_62,c_181544]) ).

tcf(c_181752,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_11,X2)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(p(sK0(sK0(p(iPr_def_21),X0),X1)),X2) ),
    inference(superposition,[status(thm)],[c_181513,c_51]) ).

tcf(c_181753,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | subq(iPr_def_11,sK0(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181513,c_63]) ).

tcf(c_181783,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_10)
      | ( sK0(iPr_def_10,X0) = e )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_65]) ).

tcf(c_181784,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_10,X0) = e )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_52]) ).

tcf(c_181785,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_10,iPr_def_12) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_180993]) ).

tcf(c_181800,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_50,c_181152]) ).

tcf(c_181801,plain,
    mem(iPr_def_19,iPr_def_21),
    inference(superposition,[status(thm)],[c_180979,c_181152]) ).

tcf(c_181808,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_10)
      | mem(e,p(X0))
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_64,c_181288]) ).

tcf(c_181810,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_10,X0) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_181288]) ).

tcf(c_181821,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_181289]) ).

tcf(c_181830,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_64,c_181290]) ).

tcf(c_181835,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_181669,c_51]) ).

tcf(c_181836,plain,
    mem(iPr_def_16,iPr_def_21),
    inference(superposition,[status(thm)],[c_181669,c_181129]) ).

tcf(c_181840,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181801,c_51]) ).

tcf(c_181843,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181836,c_51]) ).

tcf(c_181859,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_64,c_181291]) ).

tcf(c_181870,plain,
    ( atleast2p(p(iPr_def_11))
    | mem(iPr_def_11,iPr_def_19)
    | ~ subq(iPr_def_12,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_665,c_181731]) ).

tcf(c_181871,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(iPr_def_11))
      | mem(iPr_def_11,X1)
      | ~ subq(X0,iPr_def_11)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_181731,c_51]) ).

tcf(c_181872,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_11))
      | subq(iPr_def_11,X0)
      | ~ subq(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_181731,c_63]) ).

tcf(c_181899,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(iPr_def_11))
      | mem(iPr_def_11,X1)
      | subq(p(iPr_def_11),X0)
      | ~ subq(p(sK0(p(iPr_def_11),X0)),X1) ),
    inference(superposition,[status(thm)],[c_181730,c_51]) ).

tcf(c_181900,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_11))
      | subq(p(iPr_def_11),X0)
      | subq(iPr_def_11,sK0(p(iPr_def_11),X0)) ),
    inference(superposition,[status(thm)],[c_181730,c_63]) ).

tcf(c_181927,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | atleast3p(sK0(sK0(p(iPr_def_21),X0),X1))
      | subq(sK0(sK0(p(iPr_def_21),X0),X1),iPr_def_11)
      | ~ atleast2p(iPr_def_11)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181753,c_65]) ).

tcf(c_181928,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | ( sK0(sK0(p(iPr_def_21),X0),X1) = iPr_def_11 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(sK0(p(iPr_def_21),X0),X1),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_181753,c_52]) ).

tcf(c_181956,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_11,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | subq(sK0(p(iPr_def_21),X1),X2)
      | atleast2p(p(sK0(sK0(p(iPr_def_21),X1),X2)))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,p(sK0(sK0(p(iPr_def_21),X1),X2))) ),
    inference(superposition,[status(thm)],[c_64,c_181752]) ).

tcf(c_181981,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_181661]) ).

tcf(c_181984,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_181661]) ).

tcf(c_181997,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),X1) ),
    inference(superposition,[status(thm)],[c_181984,c_51]) ).

tcf(c_181998,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(iPr_def_13))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181984,c_181494]) ).

tcf(c_182016,plain,
    mem(iPr_def_11,p(iPr_def_13)),
    inference(global_subsumption_just,[status(thm)],[c_181998,c_3481,c_129911]) ).

tcf(c_182018,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,X0)
      | ~ subq(p(iPr_def_13),X0) ),
    inference(superposition,[status(thm)],[c_182016,c_51]) ).

tcf(c_182019,plain,
    subq(iPr_def_11,iPr_def_13),
    inference(superposition,[status(thm)],[c_182016,c_63]) ).

tcf(c_182037,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,sK0(p(iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_181997]) ).

tcf(c_182050,plain,
    ! [X0: $i] :
      ( subq(p(e),X0)
      | ( sK0(p(e),X0) = e ) ),
    inference(superposition,[status(thm)],[c_181000,c_181358]) ).

tcf(c_182052,plain,
    ! [X0: $i] :
      ( ( s(X0) = e )
      | ( sK0(s(X0),e) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_181358]) ).

tcf(c_182053,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_10,e) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_181358]) ).

tcf(c_182060,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_11)
    | ~ atleast2p(iPr_def_11) ),
    inference(superposition,[status(thm)],[c_182019,c_65]) ).

tcf(c_182061,plain,
    ( ( iPr_def_11 = iPr_def_13 )
    | ~ subq(iPr_def_13,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_182019,c_52]) ).

tcf(c_182097,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_64,c_181292]) ).

tcf(c_182106,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_64,c_181293]) ).

tcf(c_182116,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_19)
      | mem(e,p(X0))
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_64,c_181294]) ).

tcf(c_182126,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_19)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_64,c_181295]) ).

tcf(c_182140,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_64,c_181296]) ).

tcf(c_182150,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_64,c_181297]) ).

tcf(c_182159,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_50,c_181416]) ).

tcf(c_182167,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_13))
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,p(iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_64,c_182018]) ).

tcf(c_182183,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | mem(iPr_def_13,p(sK0(sK0(p(iPr_def_21),X0),X1)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_182037]) ).

tcf(c_182184,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(iPr_def_13))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181984,c_182037]) ).

tcf(c_182185,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(iPr_def_11))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181466,c_182037]) ).

tcf(c_182207,plain,
    mem(iPr_def_13,p(iPr_def_13)),
    inference(global_subsumption_just,[status(thm)],[c_182184,c_133004,c_133008,c_133006]) ).

tcf(c_182209,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(p(iPr_def_13),X0) ),
    inference(superposition,[status(thm)],[c_182207,c_51]) ).

tcf(c_182210,plain,
    subq(iPr_def_13,iPr_def_13),
    inference(superposition,[status(thm)],[c_182207,c_63]) ).

tcf(c_182226,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_13))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,p(iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_64,c_182209]) ).

tcf(c_182239,plain,
    ( atleast3p(iPr_def_13)
    | ( iPr_def_11 = iPr_def_13 )
    | ~ atleast2p(iPr_def_11)
    | ~ subq(iPr_def_11,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_182060,c_52]) ).

tcf(c_182240,plain,
    ( atleast3p(iPr_def_13)
    | ( iPr_def_11 = iPr_def_13 )
    | ~ atleast2p(iPr_def_11) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_182239,c_182019]) ).

tcf(c_182259,plain,
    ( ( s(e) = e )
    | ( sK0(iPr_def_10,e) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_182052]) ).

tcf(c_182260,plain,
    ( ( s(iPr_def_11) = e )
    | ( sK0(iPr_def_12,e) = iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_658,c_182052]) ).

tcf(c_182261,plain,
    ( ( s(iPr_def_13) = e )
    | ( sK0(iPr_def_14,e) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_660,c_182052]) ).

tcf(c_182262,plain,
    ( ( s(iPr_def_12) = e )
    | ( sK0(iPr_def_16,e) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_662,c_182052]) ).

tcf(c_182263,plain,
    ( ( s(iPr_def_16) = e )
    | ( sK0(iPr_def_17,e) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_663,c_182052]) ).

tcf(c_182264,plain,
    ( ( s(iPr_def_19) = e )
    | ( sK0(iPr_def_20,e) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_182052]) ).

tcf(c_182267,plain,
    ( ( e = iPr_def_20 )
    | ( sK0(iPr_def_20,e) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_182264,c_666]) ).

tcf(c_182270,plain,
    ( ( e = iPr_def_17 )
    | ( sK0(iPr_def_17,e) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_182263,c_663]) ).

tcf(c_182273,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(iPr_def_16,e) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_182262,c_662]) ).

tcf(c_182276,plain,
    ( ( e = iPr_def_14 )
    | ( sK0(iPr_def_14,e) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_182261,c_660]) ).

tcf(c_182279,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_12,e) = iPr_def_11 ) ),
    inference(light_normalisation,[status(thm)],[c_182260,c_658]) ).

tcf(c_182292,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_181422]) ).

tcf(c_182294,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_181422]) ).

tcf(c_182295,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_181422]) ).

tcf(c_182308,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_11)
      | mem(e,p(X0))
      | ~ mem(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_64,c_181440]) ).

tcf(c_182311,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | mem(e,sK0(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181753,c_181440]) ).

tcf(c_182334,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_13)
      | mem(e,p(X0))
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64,c_181444]) ).

tcf(c_182349,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_13)
      | mem(iPr_def_11,p(X0))
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64,c_181647]) ).

tcf(c_182351,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_11,iPr_def_11)
    | ~ atleast2p(iPr_def_11) ),
    inference(superposition,[status(thm)],[c_182060,c_181647]) ).

tcf(c_182362,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182294,c_51]) ).

tcf(c_182371,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_64,c_181650]) ).

tcf(c_182381,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_18)
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_64,c_181835]) ).

tcf(c_182390,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_181840]) ).

tcf(c_182392,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_181840]) ).

tcf(c_182393,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_181840]) ).

tcf(c_182420,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182392,c_51]) ).

tcf(c_182431,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),X1) ),
    inference(superposition,[status(thm)],[c_182295,c_51]) ).

tcf(c_182432,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(iPr_def_12))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182295,c_182037]) ).

tcf(c_182433,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(iPr_def_12))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182295,c_181494]) ).

tcf(c_182434,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(light_normalisation,[status(thm)],[c_182433,c_665]) ).

tcf(c_182439,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(light_normalisation,[status(thm)],[c_182432,c_665]) ).

tcf(c_182464,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),X1) ),
    inference(superposition,[status(thm)],[c_182393,c_51]) ).

tcf(c_182465,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(iPr_def_19))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182393,c_182037]) ).

tcf(c_182466,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(iPr_def_19))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182393,c_181494]) ).

tcf(c_182504,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_64,c_182362]) ).

tcf(c_182517,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_64,c_182420]) ).

tcf(c_182555,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,sK0(p(iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_182431]) ).

tcf(c_182563,plain,
    sK0(iPr_def_10,e) = e,
    inference(global_subsumption_just,[status(thm)],[c_182053,c_69,c_1309,c_1671]) ).

tcf(c_182565,plain,
    ( subq(iPr_def_10,e)
    | ~ mem(e,e) ),
    inference(superposition,[status(thm)],[c_182563,c_49]) ).

tcf(c_182571,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_181843]) ).

tcf(c_182573,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_181843]) ).

tcf(c_182574,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_181843]) ).

tcf(c_182595,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | subq(iPr_def_19,X0)
      | subq(iPr_def_12,sK0(iPr_def_19,X0))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_181054,c_65]) ).

tcf(c_182596,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ~ subq(iPr_def_12,sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_181054,c_52]) ).

tcf(c_182598,plain,
    subq(iPr_def_19,p(iPr_def_12)),
    inference(superposition,[status(thm)],[c_181054,c_181012]) ).

tcf(c_182599,plain,
    subq(iPr_def_19,iPr_def_19),
    inference(light_normalisation,[status(thm)],[c_182598,c_665]) ).

tcf(c_182603,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | subq(iPr_def_12,sK0(iPr_def_19,X0))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_182595,c_181722]) ).

tcf(c_182620,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_11,X1)
      | mem(sK0(iPr_def_11,X1),X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_181187,c_51]) ).

tcf(c_182628,plain,
    subq(iPr_def_12,iPr_def_15),
    inference(superposition,[status(thm)],[c_181196,c_49]) ).

tcf(c_182629,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | mem(sK0(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_181196,c_51]) ).

tcf(c_182630,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181196,c_181130]) ).

tcf(c_182645,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_15,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182628,c_65]) ).

tcf(c_182646,plain,
    ( ( iPr_def_12 = iPr_def_15 )
    | ~ subq(iPr_def_15,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182628,c_52]) ).

tcf(c_182657,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182573,c_51]) ).

tcf(c_182674,plain,
    subq(iPr_def_16,iPr_def_18),
    inference(superposition,[status(thm)],[c_181204,c_49]) ).

tcf(c_182675,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | mem(sK0(iPr_def_16,X1),X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_181204,c_51]) ).

tcf(c_182676,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181204,c_181129]) ).

tcf(c_182688,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),X1) ),
    inference(superposition,[status(thm)],[c_182574,c_51]) ).

tcf(c_182689,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(iPr_def_16))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182574,c_182037]) ).

tcf(c_182690,plain,
    ! [X0: $i] :
      ( mem(iPr_def_11,p(iPr_def_16))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182574,c_181494]) ).

tcf(c_182725,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_15)
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_64,c_182657]) ).

tcf(c_182756,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,sK0(p(iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_182464]) ).

tcf(c_182795,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,sK0(p(iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_182688]) ).

tcf(c_182803,plain,
    atleast2p(iPr_def_15),
    inference(global_subsumption_just,[status(thm)],[c_182504,c_68,c_69,c_74,c_1178,c_2683,c_20523]) ).

tcf(c_182807,plain,
    sK0(iPr_def_20,e) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_182267,c_10074,c_39192]) ).

tcf(c_182809,plain,
    ( subq(iPr_def_20,e)
    | ~ mem(iPr_def_19,e) ),
    inference(superposition,[status(thm)],[c_182807,c_49]) ).

tcf(c_182825,plain,
    ( atleast3p(iPr_def_18)
    | subq(iPr_def_18,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182674,c_65]) ).

tcf(c_182826,plain,
    ( ( iPr_def_16 = iPr_def_18 )
    | ~ subq(iPr_def_18,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182674,c_52]) ).

tcf(c_182837,plain,
    subq(iPr_def_18,iPr_def_21),
    inference(superposition,[status(thm)],[c_181244,c_49]) ).

tcf(c_182838,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,X1)
      | mem(sK0(iPr_def_18,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181244,c_51]) ).

tcf(c_182842,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_18)
    | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_182837,c_65]) ).

tcf(c_182843,plain,
    ( ( iPr_def_18 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_182837,c_52]) ).

tcf(c_182846,plain,
    ( subq(iPr_def_21,iPr_def_18)
    | ~ atleast3p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_182837,c_180963]) ).

tcf(c_182858,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X1))
      | mem(X1,p(X0))
      | ~ mem(X0,s(X1)) ),
    inference(superposition,[status(thm)],[c_64,c_181284]) ).

tcf(c_182860,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ( sK0(s(X0),X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_181284]) ).

tcf(c_182872,plain,
    ~ atleast3p(iPr_def_18),
    inference(global_subsumption_just,[status(thm)],[c_182846,c_68,c_69,c_74,c_1178,c_1179,c_1268,c_1282,c_2683,c_2800,c_5028,c_35004,c_51490,c_51531,c_59845,c_172304]) ).

tcf(c_182884,plain,
    subq(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_181429,c_49]) ).

tcf(c_182885,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | mem(sK0(iPr_def_10,X1),X0)
      | ~ subq(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_181429,c_51]) ).

tcf(c_182886,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181429,c_181416]) ).

tcf(c_182887,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_181429,c_181126]) ).

tcf(c_182895,plain,
    ( atleast3p(iPr_def_11)
    | subq(iPr_def_11,iPr_def_10)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182884,c_65]) ).

tcf(c_182896,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subq(iPr_def_11,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182884,c_52]) ).

tcf(c_182909,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | atleast3p(sK0(iPr_def_19,X0))
      | subq(sK0(iPr_def_19,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_65]) ).

tcf(c_182910,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182603,c_52]) ).

tcf(c_182911,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_11,sK0(iPr_def_19,X0))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_181289]) ).

tcf(c_182954,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | mem(iPr_def_12,p(sK0(sK0(p(iPr_def_21),X0),X1)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_182555]) ).

tcf(c_182955,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(iPr_def_19))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182393,c_182555]) ).

tcf(c_182956,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(iPr_def_16))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182574,c_182555]) ).

tcf(c_182957,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(iPr_def_12))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182295,c_182555]) ).

tcf(c_182958,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(iPr_def_13))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181984,c_182555]) ).

tcf(c_182959,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(iPr_def_11))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181466,c_182555]) ).

tcf(c_182968,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(light_normalisation,[status(thm)],[c_182957,c_665]) ).

tcf(c_183045,plain,
    mem(iPr_def_12,p(iPr_def_13)),
    inference(global_subsumption_just,[status(thm)],[c_182958,c_4267,c_129370]) ).

tcf(c_183047,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(p(iPr_def_13),X0) ),
    inference(superposition,[status(thm)],[c_183045,c_51]) ).

tcf(c_183048,plain,
    subq(iPr_def_12,iPr_def_13),
    inference(superposition,[status(thm)],[c_183045,c_63]) ).

tcf(c_183052,plain,
    sK0(iPr_def_17,e) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_182270,c_9297,c_38448]) ).

tcf(c_183054,plain,
    ( subq(iPr_def_17,e)
    | ~ mem(iPr_def_16,e) ),
    inference(superposition,[status(thm)],[c_183052,c_49]) ).

tcf(c_183056,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183048,c_65]) ).

tcf(c_183057,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183048,c_52]) ).

tcf(c_183064,plain,
    ~ atleast2p(e),
    inference(global_subsumption_just,[status(thm)],[c_181603,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_4574,c_5028,c_7354,c_51490]) ).

tcf(c_183066,plain,
    atleast3p(iPr_def_21),
    inference(global_subsumption_just,[status(thm)],[c_181608,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_51490,c_60409]) ).

tcf(c_183073,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | mem(sK0(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_181635,c_51]) ).

tcf(c_183081,plain,
    subq(iPr_def_14,iPr_def_15),
    inference(superposition,[status(thm)],[c_181643,c_49]) ).

tcf(c_183082,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | mem(sK0(iPr_def_14,X1),X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_181643,c_51]) ).

tcf(c_183083,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181643,c_181130]) ).

tcf(c_183089,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_15,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183081,c_65]) ).

tcf(c_183090,plain,
    ( ( iPr_def_14 = iPr_def_15 )
    | ~ subq(iPr_def_15,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183081,c_52]) ).

tcf(c_183102,plain,
    subq(iPr_def_17,iPr_def_18),
    inference(superposition,[status(thm)],[c_181668,c_49]) ).

tcf(c_183103,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | mem(sK0(iPr_def_17,X1),X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_181668,c_51]) ).

tcf(c_183104,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181668,c_181129]) ).

tcf(c_183110,plain,
    ( atleast3p(iPr_def_18)
    | subq(iPr_def_18,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183102,c_65]) ).

tcf(c_183111,plain,
    ( ( iPr_def_17 = iPr_def_18 )
    | ~ subq(iPr_def_18,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183102,c_52]) ).

tcf(c_183115,plain,
    ( subq(iPr_def_18,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_183110,c_182872]) ).

tcf(c_183130,plain,
    ( ( iPr_def_17 = iPr_def_18 )
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_17,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183115,c_52]) ).

tcf(c_183132,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183115,c_181297]) ).

tcf(c_183135,plain,
    ( ( iPr_def_17 = iPr_def_18 )
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_183130,c_183102]) ).

tcf(c_183155,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_183132,c_51]) ).

tcf(c_183157,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183132,c_181025]) ).

tcf(c_183184,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_13))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,p(iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_64,c_183047]) ).

tcf(c_183209,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | mem(iPr_def_19,p(sK0(sK0(p(iPr_def_21),X0),X1)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_50,c_182756]) ).

tcf(c_183210,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(iPr_def_19))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182393,c_182756]) ).

tcf(c_183211,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(iPr_def_16))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182574,c_182756]) ).

tcf(c_183212,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(iPr_def_12))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182295,c_182756]) ).

tcf(c_183213,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(iPr_def_13))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181984,c_182756]) ).

tcf(c_183214,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(iPr_def_11))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181466,c_182756]) ).

tcf(c_183223,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(light_normalisation,[status(thm)],[c_183212,c_665]) ).

tcf(c_183261,plain,
    sK0(iPr_def_16,e) = iPr_def_12,
    inference(global_subsumption_just,[status(thm)],[c_182273,c_9234,c_37008]) ).

tcf(c_183263,plain,
    ( subq(iPr_def_16,e)
    | ~ mem(iPr_def_12,e) ),
    inference(superposition,[status(thm)],[c_183261,c_49]) ).

tcf(c_183271,plain,
    subq(iPr_def_20,iPr_def_21),
    inference(superposition,[status(thm)],[c_181800,c_49]) ).

tcf(c_183272,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X1)
      | mem(sK0(iPr_def_20,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181800,c_51]) ).

tcf(c_183277,plain,
    ( ( iPr_def_20 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183271,c_52]) ).

tcf(c_183294,plain,
    subq(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_182159,c_49]) ).

tcf(c_183295,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_11,X1)
      | mem(sK0(iPr_def_11,X1),X0)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_182159,c_51]) ).

tcf(c_183296,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | mem(sK0(iPr_def_11,X0),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_182159,c_181148]) ).

tcf(c_183297,plain,
    ! [X0: $i] :
      ( subq(iPr_def_11,X0)
      | ( sK0(iPr_def_11,X0) = e ) ),
    inference(superposition,[status(thm)],[c_182159,c_181021]) ).

tcf(c_183320,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ~ subq(iPr_def_10,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_183294,c_52]) ).

tcf(c_183322,plain,
    iPr_def_10 = iPr_def_11,
    inference(forward_subsumption_resolution,[status(thm)],[c_183320,c_182884]) ).

tcf(c_183325,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,p(iPr_def_10))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_182959,c_183322]) ).

tcf(c_183326,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_182434,c_183322]) ).

tcf(c_183327,plain,
    subq(iPr_def_10,iPr_def_10),
    inference(demodulation,[status(thm)],[c_182884,c_183322]) ).

tcf(c_183329,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,p(iPr_def_16))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_182690,c_183322]) ).

tcf(c_183331,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,p(iPr_def_19))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_182466,c_183322]) ).

tcf(c_183332,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(demodulation,[status(thm)],[c_181647,c_183322]) ).

tcf(c_183334,plain,
    ( atleast3p(iPr_def_13)
    | ( iPr_def_10 = iPr_def_13 )
    | ~ atleast2p(iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_182240,c_183322]) ).

tcf(c_183335,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_182061,c_183322]) ).

tcf(c_183336,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_10)
    | ~ atleast2p(iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_182060,c_183322]) ).

tcf(c_183337,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,p(iPr_def_10))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_182185,c_183322]) ).

tcf(c_183338,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(p(iPr_def_13),X0) ),
    inference(demodulation,[status(thm)],[c_182018,c_183322]) ).

tcf(c_183340,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(demodulation,[status(thm)],[c_181296,c_183322]) ).

tcf(c_183341,plain,
    subq(iPr_def_10,iPr_def_13),
    inference(demodulation,[status(thm)],[c_182019,c_183322]) ).

tcf(c_183342,plain,
    mem(iPr_def_10,p(iPr_def_13)),
    inference(demodulation,[status(thm)],[c_182016,c_183322]) ).

tcf(c_183343,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(p(sK0(sK0(p(iPr_def_21),X0),X1)),X2) ),
    inference(demodulation,[status(thm)],[c_181752,c_183322]) ).

tcf(c_183344,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | subq(iPr_def_10,sK0(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_181753,c_183322]) ).

tcf(c_183345,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_10))
      | subq(p(iPr_def_10),X0)
      | mem(iPr_def_10,p(sK0(p(iPr_def_10),X0))) ),
    inference(demodulation,[status(thm)],[c_181730,c_183322]) ).

tcf(c_183346,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_10))
      | mem(iPr_def_10,p(X0))
      | ~ subq(X0,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_181731,c_183322]) ).

tcf(c_183347,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_12,X0) ),
    inference(demodulation,[status(thm)],[c_181289,c_183322]) ).

tcf(c_183348,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),X1)
      | mem(iPr_def_10,p(sK0(sK0(p(iPr_def_21),X0),X1)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_181513,c_183322]) ).

tcf(c_183349,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_10))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,p(iPr_def_10)) ),
    inference(demodulation,[status(thm)],[c_181544,c_183322]) ).

tcf(c_183350,plain,
    mem(iPr_def_10,iPr_def_13),
    inference(demodulation,[status(thm)],[c_181636,c_183322]) ).

tcf(c_183351,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(p(iPr_def_10),X0) ),
    inference(demodulation,[status(thm)],[c_181535,c_183322]) ).

tcf(c_183352,plain,
    mem(iPr_def_10,p(iPr_def_10)),
    inference(demodulation,[status(thm)],[c_181533,c_183322]) ).

tcf(c_183353,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,p(X0))
      | subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ mem(X0,sK0(p(iPr_def_21),X1)) ),
    inference(demodulation,[status(thm)],[c_181494,c_183322]) ).

tcf(c_183354,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),X1) ),
    inference(demodulation,[status(thm)],[c_181480,c_183322]) ).

tcf(c_183355,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(demodulation,[status(thm)],[c_181466,c_183322]) ).

tcf(c_183356,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(demodulation,[status(thm)],[c_181298,c_183322]) ).

tcf(c_183359,plain,
    mem(iPr_def_10,iPr_def_21),
    inference(demodulation,[status(thm)],[c_181221,c_183322]) ).

tcf(c_183360,plain,
    mem(iPr_def_10,iPr_def_15),
    inference(demodulation,[status(thm)],[c_181197,c_183322]) ).

tcf(c_183361,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ~ mem(X0,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_181126,c_183322]) ).

tcf(c_183362,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ~ mem(X0,iPr_def_12) ),
    inference(demodulation,[status(thm)],[c_181022,c_183322]) ).

tcf(c_183363,plain,
    u(iPr_def_10,iPr_def_12) = iPr_def_13,
    inference(demodulation,[status(thm)],[c_659,c_183322]) ).

tcf(c_183364,plain,
    mem(iPr_def_10,iPr_def_12),
    inference(demodulation,[status(thm)],[c_180975,c_183322]) ).

tcf(c_183365,plain,
    u(e,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_657,c_183322]) ).

tcf(c_183366,plain,
    s(iPr_def_10) = iPr_def_12,
    inference(demodulation,[status(thm)],[c_658,c_183322]) ).

tcf(c_183476,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,p(iPr_def_10))
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_183355,c_182756]) ).

tcf(c_183484,plain,
    mem(iPr_def_19,p(iPr_def_19)),
    inference(global_subsumption_just,[status(thm)],[c_183210,c_47584,c_67541,c_80167]) ).

tcf(c_183486,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(p(iPr_def_19),X0) ),
    inference(superposition,[status(thm)],[c_183484,c_51]) ).

tcf(c_183491,plain,
    ! [X0: $i] :
      ( ~ atleast3p(sK0(p(iPr_def_21),X0))
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(p(iPr_def_21),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183211,c_1179,c_1268,c_1282,c_2800,c_35004,c_41680,c_75289,c_172304,c_183211]) ).

tcf(c_183492,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(renaming,[status(thm)],[c_183491]) ).

tcf(c_183508,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_64,c_183486]) ).

tcf(c_183514,plain,
    sK0(iPr_def_14,e) = iPr_def_13,
    inference(global_subsumption_just,[status(thm)],[c_182276,c_9161,c_36097]) ).

tcf(c_183516,plain,
    ( subq(iPr_def_14,e)
    | ~ mem(iPr_def_13,e) ),
    inference(superposition,[status(thm)],[c_183514,c_49]) ).

tcf(c_183524,plain,
    ( ( s(iPr_def_10) = e )
    | ( sK0(iPr_def_12,e) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_182052]) ).

tcf(c_183526,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(iPr_def_10),X0) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_181019]) ).

tcf(c_183528,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_183526,c_183366]) ).

tcf(c_183531,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_12,e) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_183524,c_183366]) ).

tcf(c_183534,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | mem(X0,iPr_def_10)
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183363,c_58]) ).

tcf(c_183547,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_13)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_64,c_183332]) ).

tcf(c_183563,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_183347]) ).

tcf(c_183565,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_10,sK0(iPr_def_19,X0))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_183347]) ).

tcf(c_183586,plain,
    sK0(iPr_def_12,e) = iPr_def_11,
    inference(global_subsumption_just,[status(thm)],[c_182279,c_1318,c_1670,c_35004]) ).

tcf(c_183588,plain,
    sK0(iPr_def_12,e) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_183586,c_183322]) ).

tcf(c_183589,plain,
    ( subq(iPr_def_12,e)
    | ~ mem(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_183588,c_49]) ).

tcf(c_183597,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_183356]) ).

tcf(c_183617,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_12 = iPr_def_15 )
    | ~ atleast2p(iPr_def_12)
    | ~ subq(iPr_def_12,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182645,c_52]) ).

tcf(c_183618,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_15,iPr_def_19)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182645,c_180993]) ).

tcf(c_183623,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182645,c_181650]) ).

tcf(c_183630,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_12 = iPr_def_15 )
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_183617,c_182628]) ).

tcf(c_183639,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_10,iPr_def_10)
    | ~ atleast2p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_182351,c_183322]) ).

tcf(c_183649,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(iPr_def_10,X0)
      | ~ atleast2p(iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_183639,c_51]) ).

tcf(c_183651,plain,
    ( atleast3p(iPr_def_13)
    | ( e = iPr_def_10 )
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183639,c_181021]) ).

tcf(c_183664,plain,
    subq(iPr_def_12,iPr_def_21),
    inference(superposition,[status(thm)],[c_182630,c_49]) ).

tcf(c_183665,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | mem(sK0(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_182630,c_51]) ).

tcf(c_183670,plain,
    ( ( iPr_def_12 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183664,c_52]) ).

tcf(c_183680,plain,
    subq(iPr_def_16,iPr_def_21),
    inference(superposition,[status(thm)],[c_182676,c_49]) ).

tcf(c_183681,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | mem(sK0(iPr_def_16,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_182676,c_51]) ).

tcf(c_183685,plain,
    ( atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_12) ),
    inference(global_subsumption_just,[status(thm)],[c_183056,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_6520]) ).

tcf(c_183699,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_13))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,p(iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_64,c_183338]) ).

tcf(c_183724,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_13))
      | subq(p(iPr_def_13),X0)
      | mem(iPr_def_13,p(sK0(p(iPr_def_13),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_182226]) ).

tcf(c_183725,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_13))
      | mem(iPr_def_13,p(X0))
      | ~ subq(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_62,c_182226]) ).

tcf(c_183726,plain,
    ( atleast2p(p(iPr_def_13))
    | mem(iPr_def_13,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_183342,c_182226]) ).

tcf(c_183727,plain,
    ( atleast2p(p(iPr_def_13))
    | mem(iPr_def_13,p(iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_183045,c_182226]) ).

tcf(c_183729,plain,
    ( atleast2p(p(iPr_def_13))
    | mem(iPr_def_13,iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_183727,c_665]) ).

tcf(c_183740,plain,
    ( atleast2p(p(iPr_def_13))
    | mem(iPr_def_13,p(e))
    | ~ subq(e,iPr_def_13) ),
    inference(instantiation,[status(thm)],[c_183725]) ).

tcf(c_183742,plain,
    atleast2p(p(iPr_def_13)),
    inference(global_subsumption_just,[status(thm)],[c_183729,c_69,c_1229,c_1282,c_1787,c_48543,c_75570,c_183740]) ).

tcf(c_183747,plain,
    ( ( iPr_def_16 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183680,c_52]) ).

tcf(c_183752,plain,
    ( ~ atleast2p(iPr_def_16)
    | subq(iPr_def_18,iPr_def_16) ),
    inference(global_subsumption_just,[status(thm)],[c_182825,c_68,c_69,c_74,c_1178,c_1179,c_1268,c_1282,c_2683,c_2800,c_3560,c_5028,c_35004,c_51490,c_51531,c_59845,c_172304]) ).

tcf(c_183753,plain,
    ( subq(iPr_def_18,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(renaming,[status(thm)],[c_183752]) ).

tcf(c_183759,plain,
    ( ( iPr_def_16 = iPr_def_18 )
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_16,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183753,c_52]) ).

tcf(c_183760,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_181835]) ).

tcf(c_183764,plain,
    ( ( iPr_def_16 = iPr_def_18 )
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_183759,c_182674]) ).

tcf(c_183780,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_183760,c_51]) ).

tcf(c_183782,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183760,c_181024]) ).

tcf(c_183806,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | subq(p(iPr_def_19),X0)
      | mem(iPr_def_19,p(sK0(p(iPr_def_19),X0))) ),
    inference(superposition,[status(thm)],[c_50,c_183508]) ).

tcf(c_183807,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | mem(iPr_def_19,p(X0))
      | ~ subq(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_62,c_183508]) ).

tcf(c_183830,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | subq(iPr_def_19,X0)
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_183565,c_51]) ).

tcf(c_183838,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_182910,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_13012,c_16595,c_43408,c_46205,c_51490,c_51542,c_81074,c_133291]) ).

tcf(c_183854,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(s(X0)),X1)
      | ( sK0(p(s(X0)),X1) = s(X0) )
      | ( sK0(s(X0),sK0(p(s(X0)),X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_181359]) ).

tcf(c_183855,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_10),X0)
      | ( sK0(p(iPr_def_10),X0) = iPr_def_10 )
      | ( sK0(iPr_def_10,sK0(p(iPr_def_10),X0)) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_181359]) ).

tcf(c_183857,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ~ subq(iPr_def_12,sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_665,c_181359]) ).

tcf(c_183876,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_14 = iPr_def_15 )
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_14,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183089,c_52]) ).

tcf(c_183877,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183089,c_183340]) ).

tcf(c_183885,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_14 = iPr_def_15 )
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_183876,c_183081]) ).

tcf(c_183900,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | mem(sK0(iPr_def_10,X1),X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_182887,c_51]) ).

tcf(c_183909,plain,
    subq(iPr_def_14,iPr_def_21),
    inference(superposition,[status(thm)],[c_183083,c_49]) ).

tcf(c_183910,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | mem(sK0(iPr_def_14,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183083,c_51]) ).

tcf(c_183923,plain,
    ( ( iPr_def_14 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183909,c_52]) ).

tcf(c_183940,plain,
    ( atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_10) ),
    inference(global_subsumption_just,[status(thm)],[c_183336,c_68,c_69,c_74,c_1178,c_2683,c_18995]) ).

tcf(c_183958,plain,
    ( atleast2p(p(iPr_def_19))
    | mem(iPr_def_19,iPr_def_19)
    | ~ subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_183807]) ).

tcf(c_183959,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(iPr_def_19))
      | mem(iPr_def_19,X1)
      | ~ subq(X0,iPr_def_19)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_183807,c_51]) ).

tcf(c_183960,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | subq(iPr_def_19,X0)
      | ~ subq(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183807,c_63]) ).

tcf(c_184024,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = s(X1) )
      | ( sK0(s(X1),s(X0)) = X1 )
      | ( sK0(s(X0),s(X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_181560]) ).

tcf(c_184025,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( sK0(iPr_def_10,s(X0)) = e )
      | ( sK0(s(X0),iPr_def_10) = X0 ) ),
    inference(superposition,[status(thm)],[c_181063,c_181560]) ).

tcf(c_184026,plain,
    ! [X0: $i] :
      ( ( s(e) = X0 )
      | ( sK0(s(e),X0) = e )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_181560]) ).

tcf(c_184027,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_13) = X0 )
      | ( sK0(s(iPr_def_13),X0) = iPr_def_13 )
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_660,c_181560]) ).

tcf(c_184028,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_12) = X0 )
      | ( sK0(s(iPr_def_12),X0) = iPr_def_12 )
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_662,c_181560]) ).

tcf(c_184029,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_16) = X0 )
      | ( sK0(s(iPr_def_16),X0) = iPr_def_16 )
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_663,c_181560]) ).

tcf(c_184030,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_19) = X0 )
      | ( sK0(s(iPr_def_19),X0) = iPr_def_19 )
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_666,c_181560]) ).

tcf(c_184031,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_10) = X0 )
      | ( sK0(s(iPr_def_10),X0) = iPr_def_10 )
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183366,c_181560]) ).

tcf(c_184032,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ subq(X0,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_184031,c_183366]) ).

tcf(c_184036,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ~ subq(X0,iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_184030,c_666]) ).

tcf(c_184040,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ subq(X0,iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_184029,c_663]) ).

tcf(c_184044,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ subq(X0,iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_184028,c_662]) ).

tcf(c_184048,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ subq(X0,iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_184027,c_660]) ).

tcf(c_184131,plain,
    subq(iPr_def_17,iPr_def_21),
    inference(superposition,[status(thm)],[c_183104,c_49]) ).

tcf(c_184132,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | mem(sK0(iPr_def_17,X1),X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183104,c_51]) ).

tcf(c_184150,plain,
    ( ( iPr_def_17 = iPr_def_21 )
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_184131,c_52]) ).

tcf(c_184166,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_183618,c_51]) ).

tcf(c_184180,plain,
    ( atleast2p(p(iPr_def_19))
    | atleast2p(p(iPr_def_10))
    | mem(iPr_def_10,p(iPr_def_19))
    | ~ subq(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183807,c_183349]) ).

tcf(c_184196,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(iPr_def_19))
      | mem(iPr_def_19,X1)
      | subq(p(iPr_def_19),X0)
      | ~ subq(p(sK0(p(iPr_def_19),X0)),X1) ),
    inference(superposition,[status(thm)],[c_183806,c_51]) ).

tcf(c_184197,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | subq(p(iPr_def_19),X0)
      | subq(iPr_def_19,sK0(p(iPr_def_19),X0)) ),
    inference(superposition,[status(thm)],[c_183806,c_63]) ).

tcf(c_184237,plain,
    ( atleast2p(p(iPr_def_10))
    | mem(iPr_def_10,iPr_def_19)
    | ~ subq(iPr_def_12,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_181870,c_183322]) ).

tcf(c_184255,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_10))
      | subq(iPr_def_10,X0)
      | ~ subq(X0,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_181872,c_183322]) ).

tcf(c_184265,plain,
    ( atleast2p(p(iPr_def_10))
    | subq(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_180985,c_184255]) ).

tcf(c_184266,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_10))
      | subq(p(iPr_def_10),X0)
      | subq(iPr_def_10,sK0(p(iPr_def_10),X0)) ),
    inference(superposition,[status(thm)],[c_181000,c_184255]) ).

tcf(c_184267,plain,
    ( atleast2p(p(iPr_def_10))
    | subq(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181011,c_184255]) ).

tcf(c_184268,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_10))
      | subq(iPr_def_10,s(X0))
      | ( sK0(s(X0),iPr_def_10) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_184255]) ).

tcf(c_184269,plain,
    ( atleast2p(p(iPr_def_10))
    | subq(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_10) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_184255]) ).

tcf(c_184306,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(e) )
      | ( sK0(iPr_def_10,s(X0)) = e )
      | ( sK0(s(X0),s(e)) = X0 ) ),
    inference(superposition,[status(thm)],[c_656,c_184024]) ).

tcf(c_184307,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_13) )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ( sK0(s(X0),s(iPr_def_13)) = X0 ) ),
    inference(superposition,[status(thm)],[c_660,c_184024]) ).

tcf(c_184308,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_12) )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 )
      | ( sK0(s(X0),s(iPr_def_12)) = X0 ) ),
    inference(superposition,[status(thm)],[c_662,c_184024]) ).

tcf(c_184309,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_16) )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ( sK0(s(X0),s(iPr_def_16)) = X0 ) ),
    inference(superposition,[status(thm)],[c_663,c_184024]) ).

tcf(c_184310,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_19) )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ( sK0(s(X0),s(iPr_def_19)) = X0 ) ),
    inference(superposition,[status(thm)],[c_666,c_184024]) ).

tcf(c_184311,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_10) )
      | ( sK0(iPr_def_12,s(X0)) = iPr_def_10 )
      | ( sK0(s(X0),s(iPr_def_10)) = X0 ) ),
    inference(superposition,[status(thm)],[c_183366,c_184024]) ).

tcf(c_184312,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(e) )
      | ( sK0(s(X0),iPr_def_10) = X0 )
      | ( sK0(s(e),s(X0)) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_184024]) ).

tcf(c_184313,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_13) )
      | ( sK0(s(X0),iPr_def_14) = X0 )
      | ( sK0(s(iPr_def_13),s(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_660,c_184024]) ).

tcf(c_184314,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_12) )
      | ( sK0(s(X0),iPr_def_16) = X0 )
      | ( sK0(s(iPr_def_12),s(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_662,c_184024]) ).

tcf(c_184315,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_16) )
      | ( sK0(s(X0),iPr_def_17) = X0 )
      | ( sK0(s(iPr_def_16),s(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_663,c_184024]) ).

tcf(c_184316,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_19) )
      | ( sK0(s(X0),iPr_def_20) = X0 )
      | ( sK0(s(iPr_def_19),s(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_184024]) ).

tcf(c_184317,plain,
    ! [X0: $i] :
      ( ( s(X0) = s(iPr_def_10) )
      | ( sK0(s(X0),iPr_def_12) = X0 )
      | ( sK0(s(iPr_def_10),s(X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_184024]) ).

tcf(c_184320,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),s(X1))
      | ( s(X0) = s(X1) )
      | ( sK0(s(X1),s(X0)) = X1 )
      | ~ mem(X0,s(X1)) ),
    inference(superposition,[status(thm)],[c_184024,c_49]) ).

tcf(c_184321,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,s(X1))
      | subq(s(X1),s(X0))
      | ( s(X0) = s(X1) )
      | ( sK0(s(X0),s(X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_184024,c_50]) ).

tcf(c_184324,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( sK0(iPr_def_12,s(X0)) = iPr_def_10 )
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_184317,c_183366]) ).

tcf(c_184328,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_20) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_184316,c_666]) ).

tcf(c_184332,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ( sK0(s(X0),iPr_def_17) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_184315,c_663]) ).

tcf(c_184336,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_184314,c_662]) ).

tcf(c_184340,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_14) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_184313,c_660]) ).

tcf(c_184406,plain,
    atleast2p(p(iPr_def_10)),
    inference(global_subsumption_just,[status(thm)],[c_184265,c_69,c_1671,c_184265]) ).

tcf(c_184414,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_183623,c_51]) ).

tcf(c_184415,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_10 = iPr_def_13 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183623,c_183362]) ).

tcf(c_184416,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,iPr_def_13)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183623,c_181149]) ).

tcf(c_184434,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | ~ atleast2p(iPr_def_14)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_183877,c_51]) ).

tcf(c_184436,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_10 = iPr_def_13 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183877,c_181023]) ).

tcf(c_184450,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_184416,c_51]) ).

tcf(c_184499,plain,
    ( atleast2p(p(iPr_def_19))
    | subq(iPr_def_19,e) ),
    inference(superposition,[status(thm)],[c_180985,c_183960]) ).

tcf(c_184501,plain,
    ( atleast2p(p(iPr_def_19))
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181011,c_183960]) ).

tcf(c_184502,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | subq(iPr_def_19,s(X0))
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_183960]) ).

tcf(c_184503,plain,
    ( atleast2p(p(iPr_def_19))
    | subq(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_10,iPr_def_19) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_183960]) ).

tcf(c_184534,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181299,c_49]) ).

tcf(c_184535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X2)
      | mem(sK0(iPr_def_15,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181299,c_51]) ).

tcf(c_184536,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ~ subq(iPr_def_21,e) ),
    inference(superposition,[status(thm)],[c_181299,c_53]) ).

tcf(c_184537,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X1)
      | ( sK0(iPr_def_15,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_181299,c_55]) ).

tcf(c_184538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X2)
      | mem(sK0(iPr_def_15,X2),X1)
      | mem(sK0(iPr_def_15,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_181299,c_58]) ).

tcf(c_184539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X2)
      | ~ mem(sK0(iPr_def_15,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_181299,c_61]) ).

tcf(c_184540,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X2)
      | mem(sK0(iPr_def_15,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_181299,c_60]) ).

tcf(c_184541,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X1)
      | subq(sK0(iPr_def_15,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_181299,c_63]) ).

tcf(c_184542,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | subq(sK0(iPr_def_15,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181299,c_181002]) ).

tcf(c_184543,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181299,c_183361]) ).

tcf(c_184544,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_15,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181299,c_181021]) ).

tcf(c_184545,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_15,X0) = iPr_def_10 )
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181299,c_183362]) ).

tcf(c_184546,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181299,c_181149]) ).

tcf(c_184547,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181299,c_181127]) ).

tcf(c_184548,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181299,c_181150]) ).

tcf(c_184549,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_15,X0) = iPr_def_13 )
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181299,c_181023]) ).

tcf(c_184550,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181299,c_181128]) ).

tcf(c_184551,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_15,X0) = iPr_def_12 )
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181299,c_181024]) ).

tcf(c_184552,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181299,c_181151]) ).

tcf(c_184553,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_15,X0) = iPr_def_16 )
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181299,c_181025]) ).

tcf(c_184555,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_15,X0) = iPr_def_19 )
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181299,c_181026]) ).

tcf(c_184558,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_19))
      | subq(iPr_def_15,X0)
      | mem(iPr_def_19,p(sK0(iPr_def_15,X0)))
      | ~ subq(iPr_def_21,p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_181299,c_183508]) ).

tcf(c_184703,plain,
    atleast2p(p(iPr_def_19)),
    inference(global_subsumption_just,[status(thm)],[c_184558,c_69,c_1665,c_184499]) ).

tcf(c_184712,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183665,c_49]) ).

tcf(c_184713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183665,c_51]) ).

tcf(c_184714,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ~ subq(iPr_def_21,e) ),
    inference(superposition,[status(thm)],[c_183665,c_53]) ).

tcf(c_184715,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_12,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183665,c_55]) ).

tcf(c_184716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X1)
      | mem(sK0(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183665,c_58]) ).

tcf(c_184717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | ~ mem(sK0(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183665,c_61]) ).

tcf(c_184718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183665,c_60]) ).

tcf(c_184719,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | subq(sK0(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_183665,c_63]) ).

tcf(c_184720,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | subq(sK0(iPr_def_12,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183665,c_181002]) ).

tcf(c_184722,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183665,c_181021]) ).

tcf(c_184727,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_13 )
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183665,c_181023]) ).

tcf(c_184728,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183665,c_181128]) ).

tcf(c_184729,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_12 )
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183665,c_181024]) ).

tcf(c_184730,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183665,c_181151]) ).

tcf(c_184731,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_16 )
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183665,c_181025]) ).

tcf(c_184733,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_19 )
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183665,c_181026]) ).

tcf(c_184804,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183910,c_49]) ).

tcf(c_184805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | mem(sK0(iPr_def_14,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183910,c_51]) ).

tcf(c_184806,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ~ subq(iPr_def_21,e) ),
    inference(superposition,[status(thm)],[c_183910,c_53]) ).

tcf(c_184807,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | ( sK0(iPr_def_14,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183910,c_55]) ).

tcf(c_184808,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | mem(sK0(iPr_def_14,X2),X1)
      | mem(sK0(iPr_def_14,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183910,c_58]) ).

tcf(c_184809,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | ~ mem(sK0(iPr_def_14,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183910,c_61]) ).

tcf(c_184810,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | mem(sK0(iPr_def_14,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183910,c_60]) ).

tcf(c_184811,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | subq(sK0(iPr_def_14,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_183910,c_63]) ).

tcf(c_184812,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | subq(sK0(iPr_def_14,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183910,c_181002]) ).

tcf(c_184813,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183910,c_183361]) ).

tcf(c_184814,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183910,c_181021]) ).

tcf(c_184815,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_10 )
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183910,c_183362]) ).

tcf(c_184816,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183910,c_181149]) ).

tcf(c_184820,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183910,c_181128]) ).

tcf(c_184821,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_12 )
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183910,c_181024]) ).

tcf(c_184822,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183910,c_181151]) ).

tcf(c_184823,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_16 )
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183910,c_181025]) ).

tcf(c_184825,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_19 )
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183910,c_181026]) ).

tcf(c_184937,plain,
    ( ( s(e) = iPr_def_10 )
    | ( sK0(iPr_def_10,iPr_def_10) = e )
    | ( sK0(iPr_def_10,s(e)) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_184025]) ).

tcf(c_184938,plain,
    ( ( s(iPr_def_13) = iPr_def_10 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ( sK0(iPr_def_10,s(iPr_def_13)) = e ) ),
    inference(superposition,[status(thm)],[c_660,c_184025]) ).

tcf(c_184939,plain,
    ( ( s(iPr_def_12) = iPr_def_10 )
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 )
    | ( sK0(iPr_def_10,s(iPr_def_12)) = e ) ),
    inference(superposition,[status(thm)],[c_662,c_184025]) ).

tcf(c_184940,plain,
    ( ( s(iPr_def_16) = iPr_def_10 )
    | ( sK0(iPr_def_17,iPr_def_10) = iPr_def_16 )
    | ( sK0(iPr_def_10,s(iPr_def_16)) = e ) ),
    inference(superposition,[status(thm)],[c_663,c_184025]) ).

tcf(c_184941,plain,
    ( ( s(iPr_def_19) = iPr_def_10 )
    | ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
    | ( sK0(iPr_def_10,s(iPr_def_19)) = e ) ),
    inference(superposition,[status(thm)],[c_666,c_184025]) ).

tcf(c_184942,plain,
    ( ( s(iPr_def_10) = iPr_def_10 )
    | ( sK0(iPr_def_12,iPr_def_10) = iPr_def_10 )
    | ( sK0(iPr_def_10,s(iPr_def_10)) = e ) ),
    inference(superposition,[status(thm)],[c_183366,c_184025]) ).

tcf(c_184943,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_10)
      | ( s(X0) = iPr_def_10 )
      | ( sK0(iPr_def_10,s(X0)) = e )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_184025,c_49]) ).

tcf(c_184945,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_12,iPr_def_10) = iPr_def_10 )
    | ( sK0(iPr_def_10,iPr_def_12) = e ) ),
    inference(light_normalisation,[status(thm)],[c_184942,c_183366]) ).

tcf(c_184949,plain,
    ( ( iPr_def_10 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
    | ( sK0(iPr_def_10,iPr_def_20) = e ) ),
    inference(light_normalisation,[status(thm)],[c_184941,c_666]) ).

tcf(c_184953,plain,
    ( ( iPr_def_10 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_10) = iPr_def_16 )
    | ( sK0(iPr_def_10,iPr_def_17) = e ) ),
    inference(light_normalisation,[status(thm)],[c_184940,c_663]) ).

tcf(c_184957,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 )
    | ( sK0(iPr_def_10,iPr_def_16) = e ) ),
    inference(light_normalisation,[status(thm)],[c_184939,c_662]) ).

tcf(c_184961,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ( sK0(iPr_def_10,iPr_def_14) = e ) ),
    inference(light_normalisation,[status(thm)],[c_184938,c_660]) ).

tcf(c_184965,plain,
    ( ( s(e) = iPr_def_10 )
    | ( sK0(iPr_def_10,iPr_def_10) = e ) ),
    inference(light_normalisation,[status(thm)],[c_184937,c_656]) ).

tcf(c_184996,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | subq(iPr_def_15,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_184534]) ).

tcf(c_184998,plain,
    ( subq(iPr_def_15,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_184534]) ).

tcf(c_184999,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_15,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_184534]) ).

tcf(c_185006,plain,
    ~ subq(iPr_def_21,e),
    inference(global_subsumption_just,[status(thm)],[c_184536,c_1661,c_37008]) ).

tcf(c_185012,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | subq(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_184712]) ).

tcf(c_185015,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_184712]) ).

tcf(c_185028,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_21)
      | subq(iPr_def_14,p(X0))
      | ~ mem(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_64,c_184804]) ).

tcf(c_185031,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_14,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_184804]) ).

tcf(c_185042,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_14)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181079,c_65]) ).

tcf(c_185045,plain,
    ( mem(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_181079,c_180993]) ).

tcf(c_185046,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_181079,c_181290]) ).

tcf(c_185047,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_14),X0)
      | ( sK0(p(iPr_def_14),X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,sK0(p(iPr_def_14),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_181079,c_181359]) ).

tcf(c_185083,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_15 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_184999,c_52]) ).

tcf(c_185085,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_182657]) ).

tcf(c_185086,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_182420]) ).

tcf(c_185087,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_182362]) ).

tcf(c_185128,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_12 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_185015,c_52]) ).

tcf(c_185141,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_14 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_185031,c_52]) ).

tcf(c_185193,plain,
    ( ( s(e) = iPr_def_12 )
    | ( sK0(iPr_def_10,iPr_def_12) = e )
    | ( sK0(iPr_def_12,s(e)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_656,c_184324]) ).

tcf(c_185194,plain,
    ( ( s(iPr_def_13) = iPr_def_12 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ( sK0(iPr_def_12,s(iPr_def_13)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_660,c_184324]) ).

tcf(c_185195,plain,
    ( ( s(iPr_def_12) = iPr_def_12 )
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
    | ( sK0(iPr_def_12,s(iPr_def_12)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_662,c_184324]) ).

tcf(c_185196,plain,
    ( ( s(iPr_def_16) = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_12,s(iPr_def_16)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_663,c_184324]) ).

tcf(c_185197,plain,
    ( ( s(iPr_def_19) = iPr_def_12 )
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
    | ( sK0(iPr_def_12,s(iPr_def_19)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_666,c_184324]) ).

tcf(c_185199,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_12)
      | ( s(X0) = iPr_def_12 )
      | ( sK0(iPr_def_12,s(X0)) = iPr_def_10 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184324,c_49]) ).

tcf(c_185201,plain,
    ( ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
    | ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_185197,c_666]) ).

tcf(c_185205,plain,
    ( ( iPr_def_12 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_185196,c_663]) ).

tcf(c_185209,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_185195,c_662]) ).

tcf(c_185213,plain,
    ( ( iPr_def_12 = iPr_def_14 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ( sK0(iPr_def_12,iPr_def_14) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_185194,c_660]) ).

tcf(c_185234,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_16)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181087,c_65]) ).

tcf(c_185237,plain,
    ( mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_181087,c_180993]) ).

tcf(c_185238,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_181087,c_181291]) ).

tcf(c_185239,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_16),X0)
      | ( sK0(p(iPr_def_16),X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,sK0(p(iPr_def_16),X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_181087,c_181359]) ).

tcf(c_185288,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_17)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181095,c_65]) ).

tcf(c_185291,plain,
    ( mem(iPr_def_17,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181095,c_180993]) ).

tcf(c_185292,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181095,c_183155]) ).

tcf(c_185293,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181095,c_181292]) ).

tcf(c_185294,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_17),X0)
      | ( sK0(p(iPr_def_17),X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,sK0(p(iPr_def_17),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181095,c_181359]) ).

tcf(c_185315,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_20)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181103,c_65]) ).

tcf(c_185318,plain,
    ( mem(iPr_def_20,iPr_def_19)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_180993]) ).

tcf(c_185319,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_20),X0)
      | ( sK0(p(iPr_def_20),X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,sK0(p(iPr_def_20),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_181359]) ).

tcf(c_185320,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_181293]) ).

tcf(c_185346,plain,
    subq(p(iPr_def_12),iPr_def_19),
    inference(superposition,[status(thm)],[c_181000,c_181254]) ).

tcf(c_185355,plain,
    ( atleast2p(s(iPr_def_12))
    | subq(s(iPr_def_12),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_54,c_181263]) ).

tcf(c_185356,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X0,X1))
      | subq(u(X0,X1),iPr_def_19)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_56,c_181263]) ).

tcf(c_185357,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,X0))
      | subq(u(X1,X0),iPr_def_19)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_57,c_181263]) ).

tcf(c_185358,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | atleast2p(m(X0,X1))
      | subq(m(X0,X1),iPr_def_19)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_59,c_181263]) ).

tcf(c_185359,plain,
    ! [X0: $i] :
      ( atleast2p(p(X0))
      | subq(p(X0),iPr_def_19)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_62,c_181263]) ).

tcf(c_185360,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_180977,c_181263]) ).

tcf(c_185361,plain,
    ( atleast2p(iPr_def_19)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181049,c_181263]) ).

tcf(c_185362,plain,
    ( atleast2p(iPr_def_18)
    | subq(iPr_def_18,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181205,c_181263]) ).

tcf(c_185363,plain,
    ( atleast2p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181245,c_181263]) ).

tcf(c_185366,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | subq(sK0(p(iPr_def_21),X0),iPr_def_19)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182295,c_181263]) ).

tcf(c_185397,plain,
    ( atleast2p(iPr_def_16)
    | ( iPr_def_16 = iPr_def_19 )
    | ~ subq(iPr_def_19,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_185360,c_52]) ).

tcf(c_185435,plain,
    atleast2p(iPr_def_18),
    inference(global_subsumption_just,[status(thm)],[c_185362,c_69,c_662,c_1395,c_1671,c_2296,c_12599,c_14642,c_19923,c_19952]) ).

tcf(c_185449,plain,
    atleast2p(iPr_def_21),
    inference(global_subsumption_just,[status(thm)],[c_185363,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_11442]) ).

tcf(c_185467,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185292,c_51]) ).

tcf(c_185469,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_55]) ).

tcf(c_185470,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,u(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_58]) ).

tcf(c_185471,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185292,c_61]) ).

tcf(c_185472,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_60]) ).

tcf(c_185473,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_63]) ).

tcf(c_185474,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181002]) ).

tcf(c_185475,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_17,iPr_def_10) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_183361]) ).

tcf(c_185476,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_10) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181021]) ).

tcf(c_185477,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_183362]) ).

tcf(c_185478,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181149]) ).

tcf(c_185479,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181127]) ).

tcf(c_185480,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181150]) ).

tcf(c_185481,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181023]) ).

tcf(c_185485,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181025]) ).

tcf(c_185487,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_20) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181026]) ).

tcf(c_185490,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181263]) ).

tcf(c_185544,plain,
    sK0(iPr_def_17,iPr_def_10) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_185475,c_68,c_74,c_1189,c_1668,c_3080,c_37008,c_44248,c_66199,c_172647]) ).

tcf(c_185546,plain,
    ( subq(iPr_def_17,iPr_def_10)
    | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_185544,c_49]) ).

tcf(c_185564,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_185478,c_51]) ).

tcf(c_185565,plain,
    ( atleast2p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185478,c_181263]) ).

tcf(c_185599,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_185479,c_51]) ).

tcf(c_185612,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_185480,c_51]) ).

tcf(c_185625,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_12)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_185473,c_65]) ).

tcf(c_185626,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_185473,c_52]) ).

tcf(c_185627,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_17,p(e)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_181358]) ).

tcf(c_185629,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_183347]) ).

tcf(c_185630,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(sK0(p(iPr_def_12),X0))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_181359]) ).

tcf(c_185631,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_12) = X0 )
      | ( sK0(iPr_def_17,p(s(X0))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_181560]) ).

tcf(c_185652,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(sK0(iPr_def_19,X0))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_185630,c_665]) ).

tcf(c_185668,plain,
    ( ( s(e) = iPr_def_20 )
    | ( sK0(iPr_def_10,iPr_def_20) = e )
    | ( sK0(iPr_def_20,s(e)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_656,c_184328]) ).

tcf(c_185669,plain,
    ( ( s(iPr_def_13) = iPr_def_20 )
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ( sK0(iPr_def_20,s(iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_660,c_184328]) ).

tcf(c_185670,plain,
    ( ( s(iPr_def_12) = iPr_def_20 )
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 )
    | ( sK0(iPr_def_20,s(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_662,c_184328]) ).

tcf(c_185671,plain,
    ( ( s(iPr_def_16) = iPr_def_20 )
    | ( sK0(iPr_def_17,iPr_def_20) = iPr_def_16 )
    | ( sK0(iPr_def_20,s(iPr_def_16)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_663,c_184328]) ).

tcf(c_185672,plain,
    ( ( s(iPr_def_19) = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_20) = iPr_def_19 )
    | ( sK0(iPr_def_20,s(iPr_def_19)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_184328]) ).

tcf(c_185673,plain,
    ( ( s(iPr_def_10) = iPr_def_20 )
    | ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 )
    | ( sK0(iPr_def_20,s(iPr_def_10)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_183366,c_184328]) ).

tcf(c_185674,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_20)
      | ( s(X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_184328,c_49]) ).

tcf(c_185677,plain,
    ( ( s(iPr_def_19) = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_20) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_185672,c_666]) ).

tcf(c_185680,plain,
    ( ( iPr_def_17 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_20) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_185671,c_663]) ).

tcf(c_185684,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_16) = iPr_def_19 )
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_185670,c_662]) ).

tcf(c_185688,plain,
    ( ( iPr_def_14 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_185669,c_660]) ).

tcf(c_185738,plain,
    sK0(iPr_def_10,iPr_def_12) = e,
    inference(global_subsumption_just,[status(thm)],[c_181785,c_68,c_69,c_74,c_1178,c_2683,c_63517]) ).

tcf(c_185740,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ~ mem(e,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_185738,c_49]) ).

tcf(c_185745,plain,
    ~ mem(e,iPr_def_12),
    inference(global_subsumption_just,[status(thm)],[c_185740,c_68,c_69,c_74,c_1178,c_2683,c_5028]) ).

tcf(c_185751,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_10,X0) = e )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181810,c_51]) ).

tcf(c_185753,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,s(X0)) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_55]) ).

tcf(c_185754,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | mem(e,X0)
      | ( sK0(iPr_def_10,u(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_58]) ).

tcf(c_185755,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(X1,X0)) = e )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_181810,c_61]) ).

tcf(c_185756,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_60]) ).

tcf(c_185758,plain,
    ( subq(e,iPr_def_12)
    | ( sK0(iPr_def_10,iPr_def_19) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181002]) ).

tcf(c_185764,plain,
    ( mem(e,iPr_def_15)
    | ( sK0(iPr_def_10,iPr_def_14) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181150]) ).

tcf(c_185765,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(iPr_def_10,iPr_def_14) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181023]) ).

tcf(c_185766,plain,
    ( mem(e,iPr_def_18)
    | ( sK0(iPr_def_10,iPr_def_16) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181128]) ).

tcf(c_185767,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_10,iPr_def_16) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181024]) ).

tcf(c_185768,plain,
    ( mem(e,iPr_def_18)
    | ( sK0(iPr_def_10,iPr_def_17) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181151]) ).

tcf(c_185769,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(iPr_def_10,iPr_def_17) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181025]) ).

tcf(c_185770,plain,
    ( mem(e,iPr_def_21)
    | ( sK0(iPr_def_10,iPr_def_20) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181152]) ).

tcf(c_185771,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_10,iPr_def_20) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181026]) ).

tcf(c_185773,plain,
    ( mem(e,iPr_def_21)
    | ( sK0(iPr_def_10,iPr_def_15) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181130]) ).

tcf(c_185774,plain,
    ( mem(e,iPr_def_21)
    | ( sK0(iPr_def_10,iPr_def_18) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181129]) ).

tcf(c_185823,plain,
    sK0(iPr_def_10,iPr_def_15) = e,
    inference(global_subsumption_just,[status(thm)],[c_185773,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_2683,c_5028,c_63534,c_74589]) ).

tcf(c_185825,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ~ mem(e,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_185823,c_49]) ).

tcf(c_185846,plain,
    sK0(iPr_def_17,iPr_def_20) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_185487,c_68,c_74,c_1179,c_1268,c_1282,c_2800,c_35004,c_51531,c_66214,c_172304]) ).

tcf(c_185848,plain,
    ( subq(iPr_def_17,iPr_def_20)
    | ~ mem(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_185846,c_49]) ).

tcf(c_185874,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_17,m(X0,X2)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185472,c_51]) ).

tcf(c_185875,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(e,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_53]) ).

tcf(c_185876,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,m(s(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_55]) ).

tcf(c_185877,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,m(u(X0,X1),X2)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_58]) ).

tcf(c_185878,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(m(X1,X0),X2)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185472,c_61]) ).

tcf(c_185879,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,m(m(X0,X1),X2)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_60]) ).

tcf(c_185880,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_63]) ).

tcf(c_185881,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181002]) ).

tcf(c_185882,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_183361]) ).

tcf(c_185883,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_12 )
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181021]) ).

tcf(c_185884,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_183362]) ).

tcf(c_185885,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181149]) ).

tcf(c_185886,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181127]) ).

tcf(c_185887,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181150]) ).

tcf(c_185888,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181023]) ).

tcf(c_185892,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181025]) ).

tcf(c_185894,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181026]) ).

tcf(c_185897,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181263]) ).

tcf(c_186017,plain,
    ( ( s(e) = iPr_def_17 )
    | ( sK0(iPr_def_10,iPr_def_17) = e )
    | ( sK0(iPr_def_17,s(e)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_656,c_184332]) ).

tcf(c_186018,plain,
    ( ( s(iPr_def_13) = iPr_def_17 )
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ( sK0(iPr_def_17,s(iPr_def_13)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_660,c_184332]) ).

tcf(c_186019,plain,
    ( ( s(iPr_def_12) = iPr_def_17 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 )
    | ( sK0(iPr_def_17,s(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_662,c_184332]) ).

tcf(c_186020,plain,
    ( ( s(iPr_def_16) = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 )
    | ( sK0(iPr_def_17,s(iPr_def_16)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_663,c_184332]) ).

tcf(c_186021,plain,
    ( ( s(iPr_def_19) = iPr_def_17 )
    | ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 )
    | ( sK0(iPr_def_17,s(iPr_def_19)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_666,c_184332]) ).

tcf(c_186022,plain,
    ( ( s(iPr_def_10) = iPr_def_17 )
    | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
    | ( sK0(iPr_def_17,s(iPr_def_10)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_183366,c_184332]) ).

tcf(c_186023,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_17)
      | ( s(X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_184332,c_49]) ).

tcf(c_186027,plain,
    ( ( s(iPr_def_16) = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_186020,c_663]) ).

tcf(c_186030,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_186019,c_662]) ).

tcf(c_186034,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_186018,c_660]) ).

tcf(c_186043,plain,
    ~ mem(e,iPr_def_15),
    inference(global_subsumption_just,[status(thm)],[c_185825,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_1744,c_2683,c_5028,c_74589]) ).

tcf(c_186056,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_14)
      | mem(sK0(iPr_def_15,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_50,c_181400]) ).

tcf(c_186057,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_14)
      | mem(sK0(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181196,c_181400]) ).

tcf(c_186058,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_181400]) ).

tcf(c_186059,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_15) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_181400]) ).

tcf(c_186061,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_14)
      | mem(sK0(iPr_def_14,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181643,c_181400]) ).

tcf(c_186065,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182392,c_181400]) ).

tcf(c_186066,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182573,c_181400]) ).

tcf(c_186067,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185480,c_181400]) ).

tcf(c_186068,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185479,c_181400]) ).

tcf(c_186069,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182294,c_181400]) ).

tcf(c_186216,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_17)
      | mem(sK0(iPr_def_18,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_50,c_181401]) ).

tcf(c_186217,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_17)
      | mem(sK0(iPr_def_16,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181204,c_181401]) ).

tcf(c_186221,plain,
    ( mem(e,iPr_def_17)
    | mem(e,iPr_def_16)
    | ( sK0(iPr_def_10,iPr_def_18) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181401]) ).

tcf(c_186222,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_17)
      | mem(sK0(iPr_def_17,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181668,c_181401]) ).

tcf(c_186224,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_17)
      | mem(sK0(iPr_def_12,X0),iPr_def_16)
      | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183665,c_181401]) ).

tcf(c_186225,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_17)
      | mem(sK0(iPr_def_15,X0),iPr_def_16)
      | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181299,c_181401]) ).

tcf(c_186226,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_17)
      | mem(sK0(iPr_def_14,X0),iPr_def_16)
      | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183910,c_181401]) ).

tcf(c_186267,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_12)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183528,c_65]) ).

tcf(c_186271,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183528,c_183347]) ).

tcf(c_186272,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_12,sK0(p(iPr_def_12),X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183528,c_181359]) ).

tcf(c_186281,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_12,sK0(iPr_def_19,X0)) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_186272,c_665]) ).

tcf(c_186305,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_186065,c_51]) ).

tcf(c_186306,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186065,c_181150]) ).

tcf(c_186307,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186065,c_181023]) ).

tcf(c_186324,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_186066,c_51]) ).

tcf(c_186325,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | mem(iPr_def_16,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186066,c_181150]) ).

tcf(c_186326,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186066,c_181023]) ).

tcf(c_186343,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_186069,c_51]) ).

tcf(c_186344,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_181150]) ).

tcf(c_186345,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_181023]) ).

tcf(c_186346,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_14,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_181263]) ).

tcf(c_186373,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186307,c_51]) ).

tcf(c_186374,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_183362]) ).

tcf(c_186375,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_181149]) ).

tcf(c_186376,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_181127]) ).

tcf(c_186418,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186326,c_51]) ).

tcf(c_186419,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186326,c_183362]) ).

tcf(c_186420,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186326,c_181149]) ).

tcf(c_186421,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186326,c_181127]) ).

tcf(c_186435,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 ) ),
    inference(global_subsumption_just,[status(thm)],[c_184336,c_74666]) ).

tcf(c_186441,plain,
    ( ( s(e) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_656,c_186435]) ).

tcf(c_186442,plain,
    ( ( s(iPr_def_13) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_660,c_186435]) ).

tcf(c_186443,plain,
    ( ( s(iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_16) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_662,c_186435]) ).

tcf(c_186444,plain,
    ( ( s(iPr_def_16) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_663,c_186435]) ).

tcf(c_186445,plain,
    ( ( s(iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_666,c_186435]) ).

tcf(c_186446,plain,
    ( ( s(iPr_def_10) = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_183366,c_186435]) ).

tcf(c_186447,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,s(X0))
      | ( s(X0) = iPr_def_16 )
      | ~ mem(iPr_def_12,s(X0)) ),
    inference(superposition,[status(thm)],[c_186435,c_49]) ).

tcf(c_186451,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_186446,c_183366]) ).

tcf(c_186454,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_186445,c_666]) ).

tcf(c_186457,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_186444,c_663]) ).

tcf(c_186462,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_186442,c_660]) ).

tcf(c_186465,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_186441,c_656]) ).

tcf(c_186494,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | mem(sK0(iPr_def_21,X0),iPr_def_20)
      | mem(sK0(iPr_def_21,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_50,c_181402]) ).

tcf(c_186495,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_20)
      | mem(sK0(iPr_def_18,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181244,c_181402]) ).

tcf(c_186499,plain,
    ( mem(e,iPr_def_20)
    | mem(e,iPr_def_18)
    | ( sK0(iPr_def_10,iPr_def_21) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_181402]) ).

tcf(c_186501,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_20)
      | mem(sK0(iPr_def_20,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181800,c_181402]) ).

tcf(c_186504,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_20)
      | mem(sK0(iPr_def_16,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_182676,c_181402]) ).

tcf(c_186507,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_20)
      | mem(sK0(iPr_def_17,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183104,c_181402]) ).

tcf(c_186508,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | mem(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181651,c_181402]) ).

tcf(c_186509,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183359,c_181402]) ).

tcf(c_186510,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_20)
      | mem(sK0(iPr_def_15,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181220,c_181402]) ).

tcf(c_186511,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_20)
      | mem(sK0(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_182630,c_181402]) ).

tcf(c_186512,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_20)
      | mem(sK0(iPr_def_14,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183083,c_181402]) ).

tcf(c_186560,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_10)
      | mem(e,X1)
      | ~ mem(X0,iPr_def_10)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_181808,c_51]) ).

tcf(c_186577,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X0)
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_186508,c_51]) ).

tcf(c_186579,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186508,c_181026]) ).

tcf(c_186589,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X0)
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_186509,c_51]) ).

tcf(c_186591,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186509,c_181026]) ).

tcf(c_186601,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_186579,c_51]) ).

tcf(c_186602,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186579,c_181401]) ).

tcf(c_186614,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_186591,c_51]) ).

tcf(c_186615,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186591,c_181401]) ).

tcf(c_186629,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186345,c_51]) ).

tcf(c_186630,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( iPr_def_10 = iPr_def_12 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_183362]) ).

tcf(c_186631,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_181149]) ).

tcf(c_186632,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_181127]) ).

tcf(c_186633,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_19)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_181263]) ).

tcf(c_186658,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_186346,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_64106,c_67507]) ).

tcf(c_186666,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186658,c_51]) ).

tcf(c_186667,plain,
    ( atleast2p(iPr_def_14)
    | ( iPr_def_10 = iPr_def_12 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_183362]) ).

tcf(c_186668,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_181149]) ).

tcf(c_186670,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_181263]) ).

tcf(c_186707,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_64,c_186305]) ).

tcf(c_186709,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181079,c_186305]) ).

tcf(c_186751,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_64,c_186324]) ).

tcf(c_186753,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181079,c_186324]) ).

tcf(c_186777,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_64,c_186343]) ).

tcf(c_186779,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181079,c_186343]) ).

tcf(c_186839,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_186668,c_51]) ).

tcf(c_186840,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186668,c_181263]) ).

tcf(c_186861,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_186375,c_51]) ).

tcf(c_186872,plain,
    ( ( s(e) = iPr_def_14 )
    | ( sK0(iPr_def_10,iPr_def_14) = e )
    | ( sK0(iPr_def_14,s(e)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_656,c_184340]) ).

tcf(c_186873,plain,
    ( ( s(iPr_def_13) = iPr_def_14 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ( sK0(iPr_def_14,s(iPr_def_13)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_660,c_184340]) ).

tcf(c_186874,plain,
    ( ( s(iPr_def_12) = iPr_def_14 )
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 )
    | ( sK0(iPr_def_14,s(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_662,c_184340]) ).

tcf(c_186875,plain,
    ( ( s(iPr_def_16) = iPr_def_14 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ( sK0(iPr_def_14,s(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_663,c_184340]) ).

tcf(c_186876,plain,
    ( ( s(iPr_def_19) = iPr_def_14 )
    | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 )
    | ( sK0(iPr_def_14,s(iPr_def_19)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_666,c_184340]) ).

tcf(c_186877,plain,
    ( ( s(iPr_def_10) = iPr_def_14 )
    | ( sK0(iPr_def_12,iPr_def_14) = iPr_def_10 )
    | ( sK0(iPr_def_14,s(iPr_def_10)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_183366,c_184340]) ).

tcf(c_186878,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_14)
      | ( s(X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_184340,c_49]) ).

tcf(c_186884,plain,
    ( ( s(iPr_def_13) = iPr_def_14 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_186873,c_660]) ).

tcf(c_186898,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ~ mem(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_665,c_181830]) ).

tcf(c_186899,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,X1)
      | ~ mem(X0,iPr_def_14)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_181830,c_51]) ).

tcf(c_186900,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,X0)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_63]) ).

tcf(c_186917,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_186898]) ).

tcf(c_186918,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_186898]) ).

tcf(c_186919,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_186898]) ).

tcf(c_186953,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_13,sK0(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_186900]) ).

tcf(c_186954,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_180976,c_186900]) ).

tcf(c_186955,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_186900]) ).

tcf(c_186956,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_186900]) ).

tcf(c_186957,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,e)
    | ( sK0(iPr_def_10,iPr_def_14) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_186900]) ).

tcf(c_186958,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_13,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_186900]) ).

tcf(c_186959,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_13,iPr_def_16)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186066,c_186900]) ).

tcf(c_186960,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_13,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186065,c_186900]) ).

tcf(c_186961,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_13,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183665,c_186900]) ).

tcf(c_186962,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_15,X0)
      | subq(iPr_def_13,sK0(iPr_def_15,X0))
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181299,c_186900]) ).

tcf(c_187055,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_12,X1)
      | ~ mem(X0,iPr_def_16)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_181859,c_51]) ).

tcf(c_187056,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,X0)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_63]) ).

tcf(c_187057,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | atleast2p(p(X0))
      | subq(p(X0),iPr_def_19)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_181263]) ).

tcf(c_187080,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( X0 != s(e) ) ),
    inference(resolution,[status(thm)],[c_672,c_656]) ).

tcf(c_187084,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( X0 != s(iPr_def_11) ) ),
    inference(resolution,[status(thm)],[c_672,c_658]) ).

tcf(c_187088,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( X0 != s(iPr_def_13) ) ),
    inference(resolution,[status(thm)],[c_672,c_660]) ).

tcf(c_187092,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( X0 != s(iPr_def_12) ) ),
    inference(resolution,[status(thm)],[c_672,c_662]) ).

tcf(c_187094,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ( X0 != s(iPr_def_16) ) ),
    inference(resolution,[status(thm)],[c_672,c_663]) ).

tcf(c_187112,plain,
    ! [X0: $i] :
      ( mem(iPr_def_14,X0)
      | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185045,c_51]) ).

tcf(c_187113,plain,
    ( subq(iPr_def_14,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185045,c_181002]) ).

tcf(c_187123,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185046,c_51]) ).

tcf(c_187125,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_55]) ).

tcf(c_187126,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,u(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_58]) ).

tcf(c_187127,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,X0)) = iPr_def_13 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_185046,c_61]) ).

tcf(c_187128,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_60]) ).

tcf(c_187129,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_63]) ).

tcf(c_187130,plain,
    ( subq(iPr_def_13,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_19) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181002]) ).

tcf(c_187131,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_183361]) ).

tcf(c_187132,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181021]) ).

tcf(c_187133,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_183362]) ).

tcf(c_187134,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181149]) ).

tcf(c_187136,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_186900]) ).

tcf(c_187139,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181128]) ).

tcf(c_187140,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181024]) ).

tcf(c_187141,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181151]) ).

tcf(c_187142,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181025]) ).

tcf(c_187144,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181026]) ).

tcf(c_187147,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_18) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_181401]) ).

tcf(c_187204,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185237,c_51]) ).

tcf(c_187205,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185237,c_181002]) ).

tcf(c_187215,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185238,c_51]) ).

tcf(c_187217,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_55]) ).

tcf(c_187218,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,u(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_58]) ).

tcf(c_187219,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,X0)) = iPr_def_12 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185238,c_61]) ).

tcf(c_187220,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_60]) ).

tcf(c_187221,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_63]) ).

tcf(c_187222,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_19) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181002]) ).

tcf(c_187223,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_183361]) ).

tcf(c_187224,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_16,iPr_def_10) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181021]) ).

tcf(c_187225,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_183362]) ).

tcf(c_187226,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181149]) ).

tcf(c_187227,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181127]) ).

tcf(c_187228,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_186900]) ).

tcf(c_187229,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181150]) ).

tcf(c_187230,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181023]) ).

tcf(c_187234,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181025]) ).

tcf(c_187236,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181026]) ).

tcf(c_187237,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_15) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181400]) ).

tcf(c_187242,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_181263]) ).

tcf(c_187243,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_186898]) ).

tcf(c_187364,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_186959,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_1744,c_2683,c_5028,c_15162,c_67507,c_74589,c_75414,c_156295]) ).

tcf(c_187372,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_187364,c_51]) ).

tcf(c_187373,plain,
    ( atleast2p(iPr_def_14)
    | ( iPr_def_10 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187364,c_183362]) ).

tcf(c_187374,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187364,c_181149]) ).

tcf(c_187394,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_19,iPr_def_13)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_65]) ).

tcf(c_187396,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186960,c_183332]) ).

tcf(c_187427,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187374,c_51]) ).

tcf(c_187446,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_186420,c_51]) ).

tcf(c_187457,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_12,sK0(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_187056]) ).

tcf(c_187458,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_180977,c_187056]) ).

tcf(c_187459,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_16) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_187056]) ).

tcf(c_187460,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_187056]) ).

tcf(c_187461,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_187056]) ).

tcf(c_187462,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,e)
    | ( sK0(iPr_def_10,iPr_def_16) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_187056]) ).

tcf(c_187465,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_12,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183665,c_187056]) ).

tcf(c_187466,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_15,X0)
      | subq(iPr_def_12,sK0(iPr_def_15,X0))
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181299,c_187056]) ).

tcf(c_187467,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_12,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183910,c_187056]) ).

tcf(c_187494,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_19)
    | ~ mem(iPr_def_12,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_665,c_182097]) ).

tcf(c_187495,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,X1)
      | ~ mem(X0,iPr_def_17)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_182097,c_51]) ).

tcf(c_187496,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,X0)
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182097,c_63]) ).

tcf(c_187520,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_187494]) ).

tcf(c_187531,plain,
    ! [X0: $i] :
      ( mem(iPr_def_17,X0)
      | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185291,c_51]) ).

tcf(c_187532,plain,
    ( subq(iPr_def_17,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185291,c_181002]) ).

tcf(c_187542,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185293,c_51]) ).

tcf(c_187544,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_55]) ).

tcf(c_187545,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,u(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_58]) ).

tcf(c_187546,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,X0)) = iPr_def_16 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_185293,c_61]) ).

tcf(c_187547,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_60]) ).

tcf(c_187548,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_63]) ).

tcf(c_187549,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181002]) ).

tcf(c_187552,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_183362]) ).

tcf(c_187553,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181149]) ).

tcf(c_187554,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181127]) ).

tcf(c_187555,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_186900]) ).

tcf(c_187556,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181150]) ).

tcf(c_187557,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181023]) ).

tcf(c_187558,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_187056]) ).

tcf(c_187560,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181024]) ).

tcf(c_187565,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_15) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_181400]) ).

tcf(c_187665,plain,
    ! [X0: $i] :
      ( mem(iPr_def_20,X0)
      | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185318,c_51]) ).

tcf(c_187666,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185318,c_181002]) ).

tcf(c_187676,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185320,c_51]) ).

tcf(c_187678,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_55]) ).

tcf(c_187679,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,u(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_58]) ).

tcf(c_187680,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,X0)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185320,c_61]) ).

tcf(c_187681,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_60]) ).

tcf(c_187682,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_63]) ).

tcf(c_187683,plain,
    ( subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_20,iPr_def_19) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181002]) ).

tcf(c_187684,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_183361]) ).

tcf(c_187685,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181021]) ).

tcf(c_187686,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_183362]) ).

tcf(c_187687,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181149]) ).

tcf(c_187688,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181127]) ).

tcf(c_187689,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_186900]) ).

tcf(c_187690,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181150]) ).

tcf(c_187691,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181023]) ).

tcf(c_187692,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_20,iPr_def_16) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_187056]) ).

tcf(c_187693,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | ( sK0(iPr_def_20,iPr_def_16) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181128]) ).

tcf(c_187694,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_16) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181024]) ).

tcf(c_187695,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181151]) ).

tcf(c_187696,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181025]) ).

tcf(c_187699,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_20,iPr_def_15) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181400]) ).

tcf(c_187701,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | mem(iPr_def_19,iPr_def_16)
    | ( sK0(iPr_def_20,iPr_def_18) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_181401]) ).

tcf(c_187824,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_186631,c_51]) ).

tcf(c_187825,plain,
    ( atleast2p(iPr_def_13)
    | subq(iPr_def_13,iPr_def_19)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186631,c_181263]) ).

tcf(c_187836,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_186670,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_67507,c_95991]) ).

tcf(c_187879,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,iPr_def_19)
      | mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_187396,c_51]) ).

tcf(c_187880,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_10,iPr_def_19)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_183362]) ).

tcf(c_187881,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_181149]) ).

tcf(c_187882,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_181127]) ).

tcf(c_187900,plain,
    sK0(iPr_def_20,iPr_def_10) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_184949,c_68,c_69,c_74,c_1282,c_3215,c_66963]) ).

tcf(c_187902,plain,
    ( subq(iPr_def_20,iPr_def_10)
    | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_187900,c_49]) ).

tcf(c_187918,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_16,sK0(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_187496]) ).

tcf(c_187919,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_180978,c_187496]) ).

tcf(c_187920,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_187496]) ).

tcf(c_187923,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,e)
    | ( sK0(iPr_def_10,iPr_def_17) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_187496]) ).

tcf(c_187924,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_187496]) ).

tcf(c_187925,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_187496]) ).

tcf(c_187926,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_187496]) ).

tcf(c_187928,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_16,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183665,c_187496]) ).

tcf(c_187929,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_15,X0)
      | subq(iPr_def_16,sK0(iPr_def_15,X0))
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181299,c_187496]) ).

tcf(c_187930,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_16,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183910,c_187496]) ).

tcf(c_187973,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_19)
    | ~ mem(iPr_def_12,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_665,c_182106]) ).

tcf(c_187974,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,X1)
      | ~ mem(X0,iPr_def_20)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_182106,c_51]) ).

tcf(c_187975,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,X0)
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_63]) ).

tcf(c_188005,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_187973]) ).

tcf(c_188006,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,iPr_def_19)
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_187973]) ).

tcf(c_188016,plain,
    sK0(iPr_def_10,iPr_def_14) = e,
    inference(global_subsumption_just,[status(thm)],[c_185764,c_68,c_69,c_74,c_1178,c_1397,c_1441,c_63522,c_74589]) ).

tcf(c_188018,plain,
    ( subq(iPr_def_10,iPr_def_14)
    | ~ mem(e,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_188016,c_49]) ).

tcf(c_188023,plain,
    ~ mem(e,iPr_def_14),
    inference(global_subsumption_just,[status(thm)],[c_188018,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_74589]) ).

tcf(c_188026,plain,
    sK0(iPr_def_10,iPr_def_16) = e,
    inference(global_subsumption_just,[status(thm)],[c_185766,c_1179,c_2800,c_35004,c_63525,c_172304]) ).

tcf(c_188028,plain,
    ( subq(iPr_def_10,iPr_def_16)
    | ~ mem(e,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188026,c_49]) ).

tcf(c_188033,plain,
    ~ mem(e,iPr_def_16),
    inference(global_subsumption_just,[status(thm)],[c_188028,c_1179,c_1268,c_2800,c_35004,c_172304]) ).

tcf(c_188036,plain,
    ( atleast2p(iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ( iPr_def_12 = iPr_def_13 ) ),
    inference(global_subsumption_just,[status(thm)],[c_186633,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_23057,c_67507]) ).

tcf(c_188037,plain,
    ( atleast2p(iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(renaming,[status(thm)],[c_188036]) ).

tcf(c_188052,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | atleast2p(iPr_def_12)
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_186666]) ).

tcf(c_188054,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183528,c_186666]) ).

tcf(c_188055,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_186666]) ).

tcf(c_188056,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_12,sK0(iPr_def_19,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_186666]) ).

tcf(c_188089,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | atleast2p(iPr_def_12)
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_187372]) ).

tcf(c_188091,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183528,c_187372]) ).

tcf(c_188092,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_187372]) ).

tcf(c_188093,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_16,sK0(iPr_def_19,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_187372]) ).

tcf(c_188138,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_19,p(X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_186373]) ).

tcf(c_188140,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183528,c_186373]) ).

tcf(c_188141,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_186373]) ).

tcf(c_188142,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_19,sK0(iPr_def_19,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_186373]) ).

tcf(c_188146,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_186373]) ).

tcf(c_188200,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_16,p(X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_186418]) ).

tcf(c_188202,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183528,c_186418]) ).

tcf(c_188203,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_186418]) ).

tcf(c_188204,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_16,sK0(iPr_def_19,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_186418]) ).

tcf(c_188208,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_186418]) ).

tcf(c_188248,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_12,p(X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_186629]) ).

tcf(c_188250,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183528,c_186629]) ).

tcf(c_188251,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_186629]) ).

tcf(c_188252,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_12,sK0(iPr_def_19,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_186629]) ).

tcf(c_188256,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_186629]) ).

tcf(c_188300,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_19,sK0(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_187975]) ).

tcf(c_188301,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_180979,c_187975]) ).

tcf(c_188302,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_187975]) ).

tcf(c_188303,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_187975]) ).

tcf(c_188305,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,e)
    | ( sK0(iPr_def_10,iPr_def_20) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_187975]) ).

tcf(c_188306,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_187975]) ).

tcf(c_188308,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_20,iPr_def_20) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_187975]) ).

tcf(c_188309,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | subq(iPr_def_19,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186508,c_187975]) ).

tcf(c_188310,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_19,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183665,c_187975]) ).

tcf(c_188311,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_15,X0)
      | subq(iPr_def_19,sK0(iPr_def_15,X0))
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181299,c_187975]) ).

tcf(c_188312,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_19,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183910,c_187975]) ).

tcf(c_188313,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_18)
    | subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_186509,c_187975]) ).

tcf(c_188368,plain,
    atleast2p(iPr_def_19),
    inference(global_subsumption_just,[status(thm)],[c_182116,c_18984]) ).

tcf(c_188398,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | subq(iPr_def_13,iPr_def_19)
    | ~ atleast2p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188309,c_65]) ).

tcf(c_188400,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_12,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_188309,c_181295]) ).

tcf(c_188405,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | subq(iPr_def_13,iPr_def_19) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_188398,c_188368]) ).

tcf(c_188410,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_18) ),
    inference(global_subsumption_just,[status(thm)],[c_188313,c_63001]) ).

tcf(c_188416,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_188410,c_51]) ).

tcf(c_188417,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188410,c_181401]) ).

tcf(c_188431,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_188400,c_51]) ).

tcf(c_188432,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | mem(iPr_def_12,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_188400,c_181401]) ).

tcf(c_188459,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_188417,c_51]) ).

tcf(c_188460,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | subq(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_188417,c_187496]) ).

tcf(c_188462,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_188417,c_181025]) ).

tcf(c_188491,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186709,c_51]) ).

tcf(c_188492,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_183362]) ).

tcf(c_188493,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181149]) ).

tcf(c_188494,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181127]) ).

tcf(c_188495,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X1)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_186709,c_51]) ).

tcf(c_188497,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_55]) ).

tcf(c_188498,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X1)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,u(X0,X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_58]) ).

tcf(c_188499,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_14,m(X1,X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_186709,c_61]) ).

tcf(c_188500,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_60]) ).

tcf(c_188501,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | subq(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_63]) ).

tcf(c_188502,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_19) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181002]) ).

tcf(c_188503,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_183361]) ).

tcf(c_188504,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( e = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181021]) ).

tcf(c_188508,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_186900]) ).

tcf(c_188509,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181150]) ).

tcf(c_188510,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181023]) ).

tcf(c_188511,plain,
    ( atleast2p(iPr_def_16)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_187056]) ).

tcf(c_188512,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181128]) ).

tcf(c_188513,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181024]) ).

tcf(c_188514,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_187496]) ).

tcf(c_188515,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181151]) ).

tcf(c_188516,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181025]) ).

tcf(c_188517,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_187975]) ).

tcf(c_188520,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_15) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181400]) ).

tcf(c_188522,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | mem(iPr_def_19,iPr_def_16)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_18) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_181401]) ).

tcf(c_188525,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_187902]) ).

tcf(c_188526,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(equality_factoring,[status(thm)],[c_186709]) ).

tcf(c_188736,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186753,c_51]) ).

tcf(c_188737,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_183362]) ).

tcf(c_188738,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181149]) ).

tcf(c_188739,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181127]) ).

tcf(c_188740,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X1)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_186753,c_51]) ).

tcf(c_188742,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_55]) ).

tcf(c_188743,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X1)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,u(X0,X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_58]) ).

tcf(c_188744,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_14,m(X1,X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_186753,c_61]) ).

tcf(c_188745,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_60]) ).

tcf(c_188746,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | subq(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_63]) ).

tcf(c_188747,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_19) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181002]) ).

tcf(c_188748,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_183361]) ).

tcf(c_188749,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( e = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181021]) ).

tcf(c_188753,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_186900]) ).

tcf(c_188754,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181150]) ).

tcf(c_188755,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181023]) ).

tcf(c_188756,plain,
    ( atleast2p(iPr_def_16)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_12,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_187056]) ).

tcf(c_188758,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181024]) ).

tcf(c_188759,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_16,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_187496]) ).

tcf(c_188762,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_19,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_187975]) ).

tcf(c_188764,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181026]) ).

tcf(c_188765,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_15) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_181400]) ).

tcf(c_188770,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_17,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_185546]) ).

tcf(c_188771,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_17,iPr_def_20)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_185848]) ).

tcf(c_188772,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(equality_factoring,[status(thm)],[c_186753]) ).

tcf(c_188956,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186779,c_51]) ).

tcf(c_188957,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_183362]) ).

tcf(c_188958,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181149]) ).

tcf(c_188959,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181127]) ).

tcf(c_188960,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,iPr_def_19)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181263]) ).

tcf(c_188961,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X1)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_186779,c_51]) ).

tcf(c_188963,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_55]) ).

tcf(c_188964,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,u(X0,X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_58]) ).

tcf(c_188965,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_14,m(X1,X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_186779,c_61]) ).

tcf(c_188966,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_60]) ).

tcf(c_188967,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | subq(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_63]) ).

tcf(c_188968,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_19) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181002]) ).

tcf(c_188969,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_183361]) ).

tcf(c_188970,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( e = iPr_def_12 )
    | ( sK0(iPr_def_14,iPr_def_10) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181021]) ).

tcf(c_188974,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_13,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_186900]) ).

tcf(c_188975,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181150]) ).

tcf(c_188976,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181023]) ).

tcf(c_188977,plain,
    ( atleast2p(iPr_def_16)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187056]) ).

tcf(c_188980,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187496]) ).

tcf(c_188982,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181025]) ).

tcf(c_188983,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187975]) ).

tcf(c_188985,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181026]) ).

tcf(c_188986,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_15) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181400]) ).

tcf(c_188991,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_12,iPr_def_12)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_181263]) ).

tcf(c_188992,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_186898]) ).

tcf(c_188993,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_19)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187494]) ).

tcf(c_188994,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187973]) ).

tcf(c_188995,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(equality_factoring,[status(thm)],[c_186779]) ).

tcf(c_189204,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_665,c_186707]) ).

tcf(c_189205,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X1)
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_186707,c_51]) ).

tcf(c_189206,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | subq(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_63]) ).

tcf(c_189238,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_19,iPr_def_13)
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_187394,c_64240]) ).

tcf(c_189252,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189238,c_181295]) ).

tcf(c_189285,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_188416]) ).

tcf(c_189287,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183115,c_188416]) ).

tcf(c_189313,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_189285,c_51]) ).

tcf(c_189316,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_12 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_189285,c_181024]) ).

tcf(c_189330,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_189287,c_51]) ).

tcf(c_189333,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189287,c_181025]) ).

tcf(c_189342,plain,
    sK0(iPr_def_10,iPr_def_17) = e,
    inference(global_subsumption_just,[status(thm)],[c_185768,c_68,c_74,c_1189,c_1668,c_3080,c_37008,c_44248,c_63528,c_172647]) ).

tcf(c_189344,plain,
    ( subq(iPr_def_10,iPr_def_17)
    | ~ mem(e,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189342,c_49]) ).

tcf(c_189349,plain,
    ~ mem(e,iPr_def_17),
    inference(global_subsumption_just,[status(thm)],[c_189344,c_68,c_74,c_1189,c_1267,c_1668,c_3080,c_37008,c_44248,c_172647]) ).

tcf(c_189368,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181095,c_189330]) ).

tcf(c_189383,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_189368,c_51]) ).

tcf(c_189385,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_55]) ).

tcf(c_189386,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,u(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_58]) ).

tcf(c_189387,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_17,m(X1,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_189368,c_61]) ).

tcf(c_189388,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_60]) ).

tcf(c_189389,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_10,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_63]) ).

tcf(c_189390,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_181002]) ).

tcf(c_189396,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_186900]) ).

tcf(c_189398,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_181023]) ).

tcf(c_189399,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_187056]) ).

tcf(c_189401,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_181024]) ).

tcf(c_189404,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_181025]) ).

tcf(c_189532,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X1)
      | subq(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_188056,c_51]) ).

tcf(c_189556,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X1)
      | subq(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_188093,c_51]) ).

tcf(c_189574,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | subq(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_188142,c_51]) ).

tcf(c_189592,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | subq(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_188204,c_51]) ).

tcf(c_189610,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | subq(iPr_def_19,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ subq(sK0(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_188252,c_51]) ).

tcf(c_189619,plain,
    atleast2p(iPr_def_13),
    inference(global_subsumption_just,[status(thm)],[c_182334,c_69,c_1178,c_1397,c_1441,c_1671,c_5263,c_14642]) ).

tcf(c_189642,plain,
    sK0(iPr_def_10,iPr_def_20) = e,
    inference(global_subsumption_just,[status(thm)],[c_185770,c_68,c_69,c_74,c_1282,c_3215,c_63530]) ).

tcf(c_189644,plain,
    ( subq(iPr_def_10,iPr_def_20)
    | ~ mem(e,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_189642,c_49]) ).

tcf(c_189654,plain,
    ~ mem(e,iPr_def_20),
    inference(global_subsumption_just,[status(thm)],[c_189644,c_68,c_69,c_74,c_1266,c_1282,c_3215]) ).

tcf(c_189657,plain,
    sK0(iPr_def_10,iPr_def_18) = e,
    inference(global_subsumption_just,[status(thm)],[c_185774,c_68,c_74,c_1179,c_1189,c_1267,c_1268,c_1668,c_2800,c_3080,c_35004,c_37008,c_44248,c_63535,c_172304,c_172647]) ).

tcf(c_189659,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ~ mem(e,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_189657,c_49]) ).

tcf(c_189664,plain,
    ~ mem(e,iPr_def_18),
    inference(global_subsumption_just,[status(thm)],[c_189659,c_68,c_74,c_1179,c_1189,c_1267,c_1268,c_1668,c_1743,c_2800,c_3080,c_35004,c_37008,c_44248,c_172304,c_172647]) ).

tcf(c_189677,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,iPr_def_19)
      | mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187881,c_51]) ).

tcf(c_189706,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186960,c_187427]) ).

tcf(c_189719,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_19)
      | mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_189706,c_51]) ).

tcf(c_189720,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_183362]) ).

tcf(c_189721,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_16,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_181149]) ).

tcf(c_189722,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_16,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_181127]) ).

tcf(c_189776,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_19)
      | mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_189721,c_51]) ).

tcf(c_189794,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | mem(sK0(iPr_def_13,X0),iPr_def_12)
      | mem(sK0(iPr_def_13,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_50,c_183534]) ).

tcf(c_189796,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_13) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_183534]) ).

tcf(c_189797,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,iPr_def_13) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_183534]) ).

tcf(c_189798,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_17,m(iPr_def_13,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_183534]) ).

tcf(c_189799,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_13) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_183534]) ).

tcf(c_189801,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_13) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_183534]) ).

tcf(c_189802,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_13) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_183534]) ).

tcf(c_189803,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_13) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_183534]) ).

tcf(c_189804,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_13) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_183534]) ).

tcf(c_189805,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_183534]) ).

tcf(c_189806,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_12)
      | mem(sK0(iPr_def_12,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181635,c_183534]) ).

tcf(c_189808,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | mem(sK0(iPr_def_15,X0),iPr_def_12)
      | mem(sK0(iPr_def_15,X0),iPr_def_10)
      | ~ subq(iPr_def_21,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_181299,c_183534]) ).

tcf(c_189809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_12)
      | mem(sK0(iPr_def_10,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182887,c_183534]) ).

tcf(c_189810,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_12)
      | mem(sK0(iPr_def_14,X0),iPr_def_10)
      | ~ subq(iPr_def_21,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183910,c_183534]) ).

tcf(c_189811,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184416,c_183534]) ).

tcf(c_189812,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186631,c_183534]) ).

tcf(c_189813,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186668,c_183534]) ).

tcf(c_189814,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185478,c_183534]) ).

tcf(c_189817,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186420,c_183534]) ).

tcf(c_189818,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187374,c_183534]) ).

tcf(c_189819,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | mem(iPr_def_16,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189721,c_183534]) ).

tcf(c_189820,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | mem(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187881,c_183534]) ).

tcf(c_189821,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186375,c_183534]) ).

tcf(c_189949,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_186271,c_51]) ).

tcf(c_189951,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,s(X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_55]) ).

tcf(c_189952,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,u(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_58]) ).

tcf(c_189953,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,X0)) = iPr_def_10 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_186271,c_61]) ).

tcf(c_189954,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_60]) ).

tcf(c_189955,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_63]) ).

tcf(c_189956,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181002]) ).

tcf(c_189958,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_12,iPr_def_10) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181021]) ).

tcf(c_189962,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_12,iPr_def_14) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_186900]) ).

tcf(c_189964,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_12,iPr_def_14) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181023]) ).

tcf(c_189965,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_187056]) ).

tcf(c_189966,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181128]) ).

tcf(c_189967,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181024]) ).

tcf(c_189968,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_187496]) ).

tcf(c_189969,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181151]) ).

tcf(c_189970,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181025]) ).

tcf(c_189971,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_187975]) ).

tcf(c_189973,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181026]) ).

tcf(c_189977,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_12,iPr_def_18) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_181401]) ).

tcf(c_190025,plain,
    ( subq(iPr_def_10,e)
    | ( sK0(iPr_def_12,p(e)) = iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_189955]) ).

tcf(c_190064,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( X0 != e ) ),
    inference(resolution,[status(thm)],[c_187080,c_675]) ).

tcf(c_190120,plain,
    ( mem(e,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_19) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187130,c_181444]) ).

tcf(c_190122,plain,
    sK0(iPr_def_14,iPr_def_19) = iPr_def_13,
    inference(forward_subsumption_resolution,[status(thm)],[c_190120,c_185745]) ).

tcf(c_190123,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ~ mem(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_190122,c_49]) ).

tcf(c_190127,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_190122,c_181254]) ).

tcf(c_190147,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187880,c_51]) ).

tcf(c_190148,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_10,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187880,c_181002]) ).

tcf(c_190164,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_188526,c_51]) ).

tcf(c_190165,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_183362]) ).

tcf(c_190166,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_181149]) ).

tcf(c_190167,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_181127]) ).

tcf(c_190209,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_188772,c_51]) ).

tcf(c_190210,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188772,c_183362]) ).

tcf(c_190211,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188772,c_181149]) ).

tcf(c_190212,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188772,c_181127]) ).

tcf(c_190241,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_188995,c_51]) ).

tcf(c_190242,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_183362]) ).

tcf(c_190243,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_181149]) ).

tcf(c_190244,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_181127]) ).

tcf(c_190245,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_181263]) ).

tcf(c_190279,plain,
    ( atleast2p(iPr_def_14)
    | ~ atleast3p(iPr_def_15)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_189720,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_67507,c_190148]) ).

tcf(c_190280,plain,
    ( atleast2p(iPr_def_14)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(renaming,[status(thm)],[c_190279]) ).

tcf(c_190311,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ~ mem(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_183563]) ).

tcf(c_190312,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,X1)
      | ~ mem(X0,iPr_def_12)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_183563,c_51]) ).

tcf(c_190313,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,X0)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183563,c_63]) ).

tcf(c_190330,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_190311]) ).

tcf(c_190331,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_190311]) ).

tcf(c_190332,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_190311]) ).

tcf(c_190333,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_190311]) ).

tcf(c_190334,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_190311]) ).

tcf(c_190335,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,iPr_def_19)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_190311]) ).

tcf(c_190336,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_190311]) ).

tcf(c_190337,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_190311]) ).

tcf(c_190419,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_10,sK0(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_190313]) ).

tcf(c_190420,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_190313]) ).

tcf(c_190421,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_190313]) ).

tcf(c_190422,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_190313]) ).

tcf(c_190423,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_190313]) ).

tcf(c_190426,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_190313]) ).

tcf(c_190427,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_190313]) ).

tcf(c_190428,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_190313]) ).

tcf(c_190429,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_190313]) ).

tcf(c_190431,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_190313]) ).

tcf(c_190432,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_190313]) ).

tcf(c_190433,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_190313]) ).

tcf(c_190434,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_190313]) ).

tcf(c_190435,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188772,c_190313]) ).

tcf(c_190436,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_16)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_190313]) ).

tcf(c_190437,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187364,c_190313]) ).

tcf(c_190438,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186326,c_190313]) ).

tcf(c_190439,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_190313]) ).

tcf(c_190440,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | subq(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_190313]) ).

tcf(c_190441,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_19)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_190313]) ).

tcf(c_190442,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | subq(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_190313]) ).

tcf(c_190443,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_190313]) ).

tcf(c_190445,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_15,X0)
      | subq(iPr_def_10,sK0(iPr_def_15,X0))
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181299,c_190313]) ).

tcf(c_190446,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_10,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183910,c_190313]) ).

tcf(c_190447,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_12,iPr_def_12) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_190313]) ).

tcf(c_190448,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_190313]) ).

tcf(c_190449,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183364,c_190313]) ).

tcf(c_190644,plain,
    sK0(iPr_def_14,iPr_def_10) = iPr_def_13,
    inference(global_subsumption_just,[status(thm)],[c_187131,c_68,c_69,c_74,c_1178,c_1397,c_1441,c_64322,c_74589]) ).

tcf(c_190646,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190644,c_49]) ).

tcf(c_190662,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187134,c_51]) ).

tcf(c_190663,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187134,c_183534]) ).

tcf(c_190687,plain,
    ( atleast2p(iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ( iPr_def_13 = iPr_def_16 ) ),
    inference(global_subsumption_just,[status(thm)],[c_190438,c_1178,c_1179,c_1268,c_2800,c_23060,c_35004,c_41683,c_172304]) ).

tcf(c_190688,plain,
    ( atleast2p(iPr_def_12)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(renaming,[status(thm)],[c_190687]) ).

tcf(c_190695,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_190443,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_23062,c_23057,c_46205,c_51490,c_67507,c_70081,c_133257]) ).

tcf(c_190703,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_12)
    | subq(iPr_def_19,iPr_def_10)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190695,c_65]) ).

tcf(c_190704,plain,
    ( atleast2p(iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190695,c_52]) ).

tcf(c_190727,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,s(X0))
      | ( X0 = e )
      | ~ mem(e,s(X0)) ),
    inference(superposition,[status(thm)],[c_185753,c_49]) ).

tcf(c_190743,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181087,c_183780]) ).

tcf(c_190770,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187139,c_51]) ).

tcf(c_190771,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187139,c_181401]) ).

tcf(c_190789,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187141,c_51]) ).

tcf(c_190790,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187141,c_181401]) ).

tcf(c_190799,plain,
    sK0(iPr_def_16,iPr_def_10) = iPr_def_12,
    inference(global_subsumption_just,[status(thm)],[c_187223,c_1179,c_2800,c_35004,c_64862,c_172304]) ).

tcf(c_190801,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190799,c_49]) ).

tcf(c_190841,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_190703,c_52]) ).

tcf(c_190842,plain,
    ( atleast3p(iPr_def_19)
    | atleast2p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190703,c_181295]) ).

tcf(c_190855,plain,
    ( atleast2p(iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_190704,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_15988,c_23057,c_46205,c_51490,c_67507,c_70081,c_133257]) ).

tcf(c_190872,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185490,c_52]) ).

tcf(c_190873,plain,
    ! [X0: $i] :
      ( subq(X0,p(iPr_def_19))
      | atleast2p(sK0(X0,p(iPr_def_19)))
      | ( sK0(iPr_def_17,sK0(X0,p(iPr_def_19))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_181012]) ).

tcf(c_190874,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_181284]) ).

tcf(c_190879,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_186418]) ).

tcf(c_190880,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_186373]) ).

tcf(c_190881,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_187372]) ).

tcf(c_190885,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_186324]) ).

tcf(c_190886,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_186305]) ).

tcf(c_190915,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_17,sK0(p(iPr_def_21),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_183354]) ).

tcf(c_190916,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_17,sK0(p(iPr_def_21),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_182688]) ).

tcf(c_190917,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_17,sK0(p(iPr_def_21),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_182464]) ).

tcf(c_190919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_17,sK0(p(iPr_def_21),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_181997]) ).

tcf(c_191010,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( X0 != iPr_def_11 ) ),
    inference(resolution,[status(thm)],[c_187084,c_675]) ).

tcf(c_191033,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_190801]) ).

tcf(c_191041,plain,
    ~ subq(iPr_def_19,iPr_def_16),
    inference(global_subsumption_just,[status(thm)],[c_185397,c_1179,c_1268,c_1282,c_2800,c_35004,c_41680,c_172304]) ).

tcf(c_191043,plain,
    sK0(iPr_def_16,iPr_def_20) = iPr_def_12,
    inference(global_subsumption_just,[status(thm)],[c_186454,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_51490,c_64877]) ).

tcf(c_191045,plain,
    ( subq(iPr_def_16,iPr_def_20)
    | ~ mem(iPr_def_12,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_191043,c_49]) ).

tcf(c_191055,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,iPr_def_20)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_191045]) ).

tcf(c_191057,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_20)
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_191045]) ).

tcf(c_191071,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187226,c_51]) ).

tcf(c_191072,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187226,c_183534]) ).

tcf(c_191084,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187227,c_51]) ).

tcf(c_191085,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187227,c_181400]) ).

tcf(c_191098,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187229,c_51]) ).

tcf(c_191099,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187229,c_181400]) ).

tcf(c_191116,plain,
    ( atleast2p(iPr_def_14)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_190886,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_1744,c_2683,c_5028,c_66204,c_67507,c_74589,c_75414,c_156295]) ).

tcf(c_191146,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_186918,c_51]) ).

tcf(c_191148,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_186918,c_190123]) ).

tcf(c_191174,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ~ mem(iPr_def_12,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_186457,c_49]) ).

tcf(c_191201,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ mem(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186462,c_49]) ).

tcf(c_191235,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_64,c_186577]) ).

tcf(c_191238,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_186577]) ).

tcf(c_191251,plain,
    ( atleast3p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187549,c_65]) ).

tcf(c_191252,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ subq(iPr_def_12,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187549,c_52]) ).

tcf(c_191253,plain,
    ( mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187549,c_180993]) ).

tcf(c_191254,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187549,c_183780]) ).

tcf(c_191255,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187549,c_181291]) ).

tcf(c_191266,plain,
    ( subq(iPr_def_12,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_191251,c_181722]) ).

tcf(c_191286,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187553,c_51]) ).

tcf(c_191287,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187553,c_183534]) ).

tcf(c_191312,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187554,c_51]) ).

tcf(c_191313,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187554,c_181400]) ).

tcf(c_191328,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_16,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_191266,c_52]) ).

tcf(c_191330,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_186418]) ).

tcf(c_191331,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_186373]) ).

tcf(c_191332,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_187372]) ).

tcf(c_191334,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_183347]) ).

tcf(c_191373,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_191334,c_51]) ).

tcf(c_191375,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191334,c_181128]) ).

tcf(c_191376,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191334,c_181024]) ).

tcf(c_191416,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_191331,c_51]) ).

tcf(c_191418,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191331,c_181128]) ).

tcf(c_191419,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191331,c_181024]) ).

tcf(c_191451,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_191375,c_51]) ).

tcf(c_191474,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_186589]) ).

tcf(c_191485,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,e)
    | subq(iPr_def_13,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183514,c_186953]) ).

tcf(c_191486,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_10)
    | subq(iPr_def_13,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190644,c_186953]) ).

tcf(c_191487,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_19)
    | subq(iPr_def_13,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190122,c_186953]) ).

tcf(c_191488,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | atleast3p(sK0(iPr_def_14,X0))
      | subq(sK0(iPr_def_14,X0),iPr_def_13)
      | ~ atleast2p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_65]) ).

tcf(c_191490,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_19,sK0(iPr_def_14,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186953,c_186861]) ).

tcf(c_191491,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_16,sK0(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186953,c_187427]) ).

tcf(c_191492,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_12,sK0(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186953,c_186839]) ).

tcf(c_191493,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_10,sK0(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_186953,c_183332]) ).

tcf(c_191494,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(e,sK0(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_186953,c_181444]) ).

tcf(c_191514,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | atleast3p(sK0(iPr_def_14,X0))
      | subq(sK0(iPr_def_14,X0),iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_191488,c_189619]) ).

tcf(c_191533,plain,
    s(iPr_def_13) = iPr_def_14,
    inference(resolution,[status(thm)],[c_187088,c_670]) ).

tcf(c_191555,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_13)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_65]) ).

tcf(c_191556,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ subq(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_52]) ).

tcf(c_191557,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(iPr_def_14,p(e)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_181358]) ).

tcf(c_191558,plain,
    ( mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_180993]) ).

tcf(c_191559,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_13),X0)
      | ( sK0(p(iPr_def_13),X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(sK0(p(iPr_def_13),X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_181359]) ).

tcf(c_191560,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187129,c_186861]) ).

tcf(c_191561,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187129,c_187427]) ).

tcf(c_191562,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187129,c_186839]) ).

tcf(c_191563,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_183332]) ).

tcf(c_191564,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_181444]) ).

tcf(c_191565,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_181560]) ).

tcf(c_191566,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_190127]) ).

tcf(c_191567,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_183057]) ).

tcf(c_191568,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_183335]) ).

tcf(c_191569,plain,
    ( subq(iPr_def_21,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_180963]) ).

tcf(c_191595,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_13)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_191555,c_189619]) ).

tcf(c_191637,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_12)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187221,c_65]) ).

tcf(c_191638,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187221,c_52]) ).

tcf(c_191639,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_16,p(e)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187221,c_181358]) ).

tcf(c_191641,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187221,c_186629]) ).

tcf(c_191642,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187221,c_186418]) ).

tcf(c_191643,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187221,c_186373]) ).

tcf(c_191644,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187221,c_187372]) ).

tcf(c_191645,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187221,c_186666]) ).

tcf(c_191646,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187221,c_183347]) ).

tcf(c_191647,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,p(sK0(p(iPr_def_12),X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187221,c_181359]) ).

tcf(c_191648,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_12) = X0 )
      | ( sK0(iPr_def_16,p(s(X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187221,c_181560]) ).

tcf(c_191684,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,p(sK0(iPr_def_19,X0))) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_191647,c_665]) ).

tcf(c_191715,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187556,c_51]) ).

tcf(c_191716,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187556,c_181400]) ).

tcf(c_191730,plain,
    sK0(iPr_def_20,iPr_def_19) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_187683,c_109504]) ).

tcf(c_191732,plain,
    ( subq(iPr_def_20,iPr_def_19)
    | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_191730,c_49]) ).

tcf(c_191734,plain,
    ( subq(iPr_def_20,iPr_def_19)
    | ~ subq(iPr_def_19,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_191730,c_181254]) ).

tcf(c_191773,plain,
    ( ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_191569,c_52]) ).

tcf(c_191774,plain,
    ( subq(iPr_def_14,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_184804]) ).

tcf(c_191776,plain,
    ( subq(iPr_def_15,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_184534]) ).

tcf(c_191778,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_181843]) ).

tcf(c_191779,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_181840]) ).

tcf(c_191780,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_181422]) ).

tcf(c_191781,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_181661]) ).

tcf(c_191833,plain,
    ( ( iPr_def_13 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_191774,c_52]) ).

tcf(c_191834,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191774,c_186343]) ).

tcf(c_191835,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191774,c_186324]) ).

tcf(c_191836,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191774,c_186305]) ).

tcf(c_191869,plain,
    s(iPr_def_12) = iPr_def_16,
    inference(resolution,[status(thm)],[c_187092,c_670]) ).

tcf(c_191870,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( X0 != iPr_def_12 ) ),
    inference(resolution,[status(thm)],[c_187092,c_675]) ).

tcf(c_191886,plain,
    ( ( iPr_def_13 = iPr_def_15 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191776,c_52]) ).

tcf(c_191888,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_182657]) ).

tcf(c_191889,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_182420]) ).

tcf(c_191890,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_182362]) ).

tcf(c_191914,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_191778,c_51]) ).

tcf(c_191915,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191778,c_183534]) ).

tcf(c_191936,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_191779,c_51]) ).

tcf(c_191937,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191779,c_183534]) ).

tcf(c_191952,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_191780,c_51]) ).

tcf(c_191953,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191780,c_183534]) ).

tcf(c_191969,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_191781,c_51]) ).

tcf(c_191970,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191781,c_183534]) ).

tcf(c_191992,plain,
    ( ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_191773,c_187129]) ).

tcf(c_192008,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,e)
    | subq(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183261,c_187457]) ).

tcf(c_192009,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,s(X0))
      | ( s(X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_186435,c_187457]) ).

tcf(c_192010,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_10)
    | subq(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_190799,c_187457]) ).

tcf(c_192011,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_20)
    | subq(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_191043,c_187457]) ).

tcf(c_192012,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_17)
    | subq(iPr_def_12,iPr_def_12)
    | ( iPr_def_16 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_186457,c_187457]) ).

tcf(c_192013,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_14)
    | subq(iPr_def_12,iPr_def_12)
    | ( iPr_def_14 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_186462,c_187457]) ).

tcf(c_192014,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | atleast3p(sK0(iPr_def_16,X0))
      | subq(sK0(iPr_def_16,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187457,c_65]) ).

tcf(c_192016,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_12,sK0(iPr_def_16,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187457,c_186629]) ).

tcf(c_192017,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_16,sK0(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187457,c_186418]) ).

tcf(c_192018,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_19,sK0(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187457,c_186373]) ).

tcf(c_192019,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | atleast2p(iPr_def_14)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_16,sK0(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187457,c_187372]) ).

tcf(c_192020,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | atleast2p(iPr_def_14)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_12,sK0(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187457,c_186666]) ).

tcf(c_192021,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_10,sK0(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_187457,c_183347]) ).

tcf(c_192093,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_16)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187548,c_65]) ).

tcf(c_192094,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187548,c_52]) ).

tcf(c_192095,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(iPr_def_17,p(e)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_181358]) ).

tcf(c_192096,plain,
    ( mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_180993]) ).

tcf(c_192097,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187548,c_183780]) ).

tcf(c_192098,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_181291]) ).

tcf(c_192099,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_16),X0)
      | ( sK0(p(iPr_def_16),X0) = iPr_def_16 )
      | ( sK0(iPr_def_17,p(sK0(p(iPr_def_16),X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_181359]) ).

tcf(c_192100,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(s(X0),iPr_def_16) = X0 )
      | ( sK0(iPr_def_17,p(s(X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_181560]) ).

tcf(c_192242,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_65]) ).

tcf(c_192243,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ subq(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_52]) ).

tcf(c_192244,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_20,p(e)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_181358]) ).

tcf(c_192245,plain,
    ( mem(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_180993]) ).

tcf(c_192246,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_181295]) ).

tcf(c_192247,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_181294]) ).

tcf(c_192248,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_19),X0)
      | ( sK0(p(iPr_def_19),X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(sK0(p(iPr_def_19),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_181359]) ).

tcf(c_192249,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_181560]) ).

tcf(c_192250,plain,
    sK0(iPr_def_20,p(iPr_def_16)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187682,c_191041]) ).

tcf(c_192251,plain,
    ( subq(iPr_def_21,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_180963]) ).

tcf(c_192265,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_192242,c_188368]) ).

tcf(c_192284,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,e)
    | subq(iPr_def_16,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183052,c_187918]) ).

tcf(c_192285,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,iPr_def_10)
    | subq(iPr_def_16,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_185544,c_187918]) ).

tcf(c_192286,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,iPr_def_20)
    | subq(iPr_def_16,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_185846,c_187918]) ).

tcf(c_192287,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | atleast3p(sK0(iPr_def_17,X0))
      | subq(sK0(iPr_def_17,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187918,c_65]) ).

tcf(c_192289,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | mem(iPr_def_16,sK0(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187918,c_183780]) ).

tcf(c_192290,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | mem(iPr_def_12,sK0(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_187918,c_181291]) ).

tcf(c_192307,plain,
    ~ subq(iPr_def_19,iPr_def_12),
    inference(global_subsumption_just,[status(thm)],[c_191734,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_1744,c_2683,c_5028,c_74589,c_155099]) ).

tcf(c_192309,plain,
    sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187682,c_192307]) ).

tcf(c_192311,plain,
    ( subq(iPr_def_20,p(iPr_def_16))
    | ~ mem(iPr_def_19,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_192250,c_49]) ).

tcf(c_192321,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187687,c_51]) ).

tcf(c_192322,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187687,c_183534]) ).

tcf(c_192356,plain,
    ( ~ atleast3p(iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_192251,c_67879]) ).

tcf(c_192357,plain,
    ( ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(renaming,[status(thm)],[c_192356]) ).

tcf(c_192364,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_191889,c_147823]) ).

tcf(c_192372,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_192364,c_51]) ).

tcf(c_192373,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192364,c_183534]) ).

tcf(c_192392,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_191915,c_51]) ).

tcf(c_192393,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | subq(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191915,c_190313]) ).

tcf(c_192394,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191915,c_183362]) ).

tcf(c_192395,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191915,c_181149]) ).

tcf(c_192396,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191915,c_181127]) ).

tcf(c_192427,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_191937,c_51]) ).

tcf(c_192428,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191937,c_190313]) ).

tcf(c_192429,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191937,c_183362]) ).

tcf(c_192430,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191937,c_181149]) ).

tcf(c_192431,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191937,c_181127]) ).

tcf(c_192462,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_191953,c_51]) ).

tcf(c_192463,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_190313]) ).

tcf(c_192464,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_183362]) ).

tcf(c_192465,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_181149]) ).

tcf(c_192466,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_181127]) ).

tcf(c_192467,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_181263]) ).

tcf(c_192468,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_190311]) ).

tcf(c_192509,plain,
    s(iPr_def_16) = iPr_def_17,
    inference(resolution,[status(thm)],[c_187094,c_670]) ).

tcf(c_192536,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_191970,c_51]) ).

tcf(c_192538,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191970,c_183362]) ).

tcf(c_192539,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191970,c_181149]) ).

tcf(c_192554,plain,
    s(iPr_def_16) = iPr_def_17,
    inference(global_subsumption_just,[status(thm)],[c_186027,c_192509]) ).

tcf(c_192574,plain,
    ~ mem(iPr_def_19,p(iPr_def_16)),
    inference(global_subsumption_just,[status(thm)],[c_192311,c_1179,c_1268,c_1282,c_2800,c_35004,c_41680,c_75289,c_172304]) ).

tcf(c_192577,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_192574]) ).

tcf(c_192579,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_16,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_192574]) ).

tcf(c_192580,plain,
    ( atleast2p(iPr_def_20)
    | ~ mem(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_192574]) ).

tcf(c_192596,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,e)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_182807,c_188300]) ).

tcf(c_192597,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_10)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187900,c_188300]) ).

tcf(c_192598,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_19)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_191730,c_188300]) ).

tcf(c_192599,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_192250,c_188300]) ).

tcf(c_192600,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | atleast3p(sK0(iPr_def_20,X0))
      | subq(sK0(iPr_def_20,X0),iPr_def_19)
      | ~ atleast2p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188300,c_65]) ).

tcf(c_192602,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_12,sK0(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_188300,c_181295]) ).

tcf(c_192603,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(e,sK0(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_188300,c_181294]) ).

tcf(c_192610,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | atleast3p(sK0(iPr_def_20,X0))
      | subq(sK0(iPr_def_20,X0),iPr_def_19) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_192600,c_188368]) ).

tcf(c_192626,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | mem(iPr_def_13,iPr_def_18)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188405,c_187427]) ).

tcf(c_192628,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188405,c_183332]) ).

tcf(c_192644,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_10)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_65]) ).

tcf(c_192645,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_52]) ).

tcf(c_192646,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_12,p(e)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_181358]) ).

tcf(c_192647,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_12,p(iPr_def_12)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_180993]) ).

tcf(c_192648,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_181288]) ).

tcf(c_192649,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_10),X0)
      | ( sK0(p(iPr_def_10),X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(sK0(p(iPr_def_10),X0))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_181359]) ).

tcf(c_192650,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( sK0(s(X0),iPr_def_10) = X0 )
      | ( sK0(iPr_def_12,p(s(X0))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_181560]) ).

tcf(c_192651,plain,
    ( subq(iPr_def_21,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_180963]) ).

tcf(c_192654,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_192647,c_665]) ).

tcf(c_192729,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,iPr_def_20) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_192580]) ).

tcf(c_192739,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187688,c_51]) ).

tcf(c_192740,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187688,c_181400]) ).

tcf(c_192754,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187690,c_51]) ).

tcf(c_192755,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187690,c_181400]) ).

tcf(c_192765,plain,
    sK0(iPr_def_20,iPr_def_16) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_187693,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_51490,c_66973]) ).

tcf(c_192767,plain,
    ( subq(iPr_def_20,iPr_def_16)
    | ~ mem(iPr_def_19,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_192765,c_49]) ).

tcf(c_192769,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_16)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_192765,c_188300]) ).

tcf(c_192781,plain,
    ( ( iPr_def_10 = iPr_def_21 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_192651,c_52]) ).

tcf(c_192782,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_184804]) ).

tcf(c_192783,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_184712]) ).

tcf(c_192784,plain,
    ( subq(iPr_def_15,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_184534]) ).

tcf(c_192785,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_183356]) ).

tcf(c_192786,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_181843]) ).

tcf(c_192787,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_181840]) ).

tcf(c_192788,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_181422]) ).

tcf(c_192789,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192651,c_181661]) ).

tcf(c_192837,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_192782,c_52]) ).

tcf(c_192838,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192782,c_186343]) ).

tcf(c_192839,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192782,c_186324]) ).

tcf(c_192840,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192782,c_186305]) ).

tcf(c_192892,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_192783,c_52]) ).

tcf(c_192893,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192783,c_186629]) ).

tcf(c_192894,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192783,c_186418]) ).

tcf(c_192895,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192783,c_186373]) ).

tcf(c_192896,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192783,c_187372]) ).

tcf(c_192897,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192783,c_186666]) ).

tcf(c_192971,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192784,c_52]) ).

tcf(c_192973,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192784,c_182657]) ).

tcf(c_192974,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192784,c_182420]) ).

tcf(c_192975,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192784,c_182362]) ).

tcf(c_192999,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_192785,c_51]) ).

tcf(c_193001,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_192785,c_181021]) ).

tcf(c_193009,plain,
    ( ~ atleast3p(iPr_def_10)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 ) ),
    inference(global_subsumption_just,[status(thm)],[c_192786,c_68,c_69,c_74,c_1178,c_2683,c_193001]) ).

tcf(c_193010,plain,
    ( ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_193009]) ).

tcf(c_193015,plain,
    s(iPr_def_12) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_186443,c_191869]) ).

tcf(c_193039,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,iPr_def_16)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_192767]) ).

tcf(c_193041,plain,
    ( subq(iPr_def_20,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191331,c_192767]) ).

tcf(c_193057,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,e)
    | subq(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183588,c_190419]) ).

tcf(c_193058,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | atleast3p(sK0(iPr_def_12,X0))
      | subq(sK0(iPr_def_12,X0),iPr_def_10)
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190419,c_65]) ).

tcf(c_193060,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | mem(e,sK0(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_190419,c_181288]) ).

tcf(c_193075,plain,
    ( atleast2p(p(iPr_def_12))
    | subq(iPr_def_19,iPr_def_19)
    | ~ subq(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_185359]) ).

tcf(c_193077,plain,
    ! [X0: $i] :
      ( atleast2p(p(X0))
      | ( p(X0) = iPr_def_19 )
      | ~ subq(iPr_def_12,X0)
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_185359,c_52]) ).

tcf(c_193083,plain,
    ( atleast2p(iPr_def_19)
    | subq(iPr_def_19,iPr_def_19)
    | ~ subq(iPr_def_12,iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_193075,c_665]) ).

tcf(c_193092,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_10,m(X0,X2)) = e )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185756,c_51]) ).

tcf(c_193093,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(e,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_53]) ).

tcf(c_193094,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,m(s(X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_55]) ).

tcf(c_193095,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | mem(e,X0)
      | ( sK0(iPr_def_10,m(u(X0,X1),X2)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_58]) ).

tcf(c_193096,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(m(X1,X0),X2)) = e )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_185756,c_61]) ).

tcf(c_193097,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_10,m(m(X0,X1),X2)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_60]) ).

tcf(c_193099,plain,
    ! [X0: $i] :
      ( subq(e,iPr_def_12)
      | ( sK0(iPr_def_10,m(iPr_def_19,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_181002]) ).

tcf(c_193118,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_20,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_189654]) ).

tcf(c_193119,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_17,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_189349]) ).

tcf(c_193120,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_16,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_188033]) ).

tcf(c_193121,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_14,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_188023]) ).

tcf(c_193122,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_12,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_185745]) ).

tcf(c_193128,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_20)
      | mem(e,iPr_def_18)
      | ( sK0(iPr_def_10,m(iPr_def_21,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_181402]) ).

tcf(c_193129,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_15,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_186043]) ).

tcf(c_193130,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_18,X0)) = e,
    inference(superposition,[status(thm)],[c_185756,c_189664]) ).

tcf(c_193135,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(iPr_def_21,X0)) = e,
    inference(forward_subsumption_resolution,[status(thm)],[c_193128,c_189654,c_189664]) ).

tcf(c_193166,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(e,X0))
      | ~ mem(e,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_193093,c_49]) ).

tcf(c_193183,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ~ mem(e,m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_193118,c_49]) ).

tcf(c_193188,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ~ mem(e,m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_193119,c_49]) ).

tcf(c_193198,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ~ mem(e,m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_193120,c_49]) ).

tcf(c_193225,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_191914]) ).

tcf(c_193227,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_191914]) ).

tcf(c_193228,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_16,sK0(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_191914]) ).

tcf(c_193273,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_191936]) ).

tcf(c_193275,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_191936]) ).

tcf(c_193276,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_19,sK0(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_191936]) ).

tcf(c_193293,plain,
    s(iPr_def_13) = iPr_def_14,
    inference(global_subsumption_just,[status(thm)],[c_186884,c_191533]) ).

tcf(c_193336,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_186601]) ).

tcf(c_193338,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183115,c_186601]) ).

tcf(c_193367,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_186614]) ).

tcf(c_193369,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183115,c_186614]) ).

tcf(c_193393,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,s(X0))
      | ( X0 = iPr_def_13 )
      | ~ mem(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_187125,c_49]) ).

tcf(c_193395,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,s(X0))
      | ( X0 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187125,c_186953]) ).

tcf(c_193398,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,s(X1))
      | ( X1 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187125,c_183910]) ).

tcf(c_193406,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ~ mem(e,m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_193121,c_49]) ).

tcf(c_193412,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_193122,c_49]) ).

tcf(c_193417,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ~ mem(e,m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_193129,c_49]) ).

tcf(c_193423,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ~ mem(e,m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_193130,c_49]) ).

tcf(c_193438,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_193338,c_51]) ).

tcf(c_193441,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_193338,c_181025]) ).

tcf(c_193464,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_193369,c_51]) ).

tcf(c_193467,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( iPr_def_10 = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_193369,c_181025]) ).

tcf(c_193492,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_191952]) ).

tcf(c_193495,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_12,sK0(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_191952]) ).

tcf(c_193517,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_191969]) ).

tcf(c_193519,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_191969]) ).

tcf(c_193520,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_13,sK0(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_191969]) ).

tcf(c_193547,plain,
    ( ( iPr_def_13 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_191833]) ).

tcf(c_193572,plain,
    ( ( iPr_def_13 = iPr_def_15 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_191886]) ).

tcf(c_193583,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_14,m(X0,X2)) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_187128,c_51]) ).

tcf(c_193584,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(e,X0)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_187128,c_53]) ).

tcf(c_193585,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(s(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_55]) ).

tcf(c_193586,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(u(X0,X1),X2)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_58]) ).

tcf(c_193587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(m(X1,X0),X2)) = iPr_def_13 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_187128,c_61]) ).

tcf(c_193588,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(m(X0,X1),X2)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_60]) ).

tcf(c_193589,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_63]) ).

tcf(c_193590,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181002]) ).

tcf(c_193591,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(iPr_def_14,m(iPr_def_10,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_183361]) ).

tcf(c_193592,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_10,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181021]) ).

tcf(c_193594,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_183362]) ).

tcf(c_193595,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(iPr_def_14,m(iPr_def_12,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181149]) ).

tcf(c_193597,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | ( sK0(iPr_def_14,m(iPr_def_14,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_186900]) ).

tcf(c_193601,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_14,m(iPr_def_16,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181128]) ).

tcf(c_193602,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_16,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181024]) ).

tcf(c_193603,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_13)
      | ( sK0(iPr_def_14,m(iPr_def_17,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_187496]) ).

tcf(c_193604,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_14,m(iPr_def_17,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181151]) ).

tcf(c_193605,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_14,m(iPr_def_17,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181025]) ).

tcf(c_193606,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_14,m(iPr_def_20,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_187975]) ).

tcf(c_193608,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(iPr_def_20,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181026]) ).

tcf(c_193609,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | mem(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_14,m(iPr_def_13,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_183534]) ).

tcf(c_193612,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | mem(iPr_def_13,iPr_def_16)
      | ( sK0(iPr_def_14,m(iPr_def_18,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_181401]) ).

tcf(c_193615,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_10)
      | ( sK0(iPr_def_14,m(iPr_def_10,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_190646]) ).

tcf(c_193616,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_19)
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_190123]) ).

tcf(c_193721,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(e,X0))
      | ~ mem(iPr_def_13,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_193584,c_49]) ).

tcf(c_193723,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_193584,c_186953]) ).

tcf(c_193726,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(e,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_193584,c_183910]) ).

tcf(c_193753,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,s(X0))
      | ( X0 = iPr_def_12 )
      | ~ mem(iPr_def_12,s(X0)) ),
    inference(superposition,[status(thm)],[c_187217,c_49]) ).

tcf(c_193755,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,s(X0))
      | ( X0 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187217,c_187457]) ).

tcf(c_193765,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_16,m(X0,X2)) = iPr_def_12 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_187220,c_51]) ).

tcf(c_193766,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(e,X0)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_187220,c_53]) ).

tcf(c_193767,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(s(X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_55]) ).

tcf(c_193768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(u(X0,X1),X2)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_58]) ).

tcf(c_193769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(m(X1,X0),X2)) = iPr_def_12 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_187220,c_61]) ).

tcf(c_193770,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(m(X0,X1),X2)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_60]) ).

tcf(c_193771,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_63]) ).

tcf(c_193772,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_19,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181002]) ).

tcf(c_193773,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_183361]) ).

tcf(c_193774,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181021]) ).

tcf(c_193775,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_190313]) ).

tcf(c_193776,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_183362]) ).

tcf(c_193777,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181149]) ).

tcf(c_193778,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181127]) ).

tcf(c_193779,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_186900]) ).

tcf(c_193780,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181150]) ).

tcf(c_193781,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181023]) ).

tcf(c_193782,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_16,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_187056]) ).

tcf(c_193785,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_17,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_187496]) ).

tcf(c_193787,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_17,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181025]) ).

tcf(c_193788,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_187975]) ).

tcf(c_193790,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_19 )
      | ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181026]) ).

tcf(c_193791,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_16,m(iPr_def_13,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_183534]) ).

tcf(c_193792,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_16,m(iPr_def_15,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181400]) ).

tcf(c_193797,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_181263]) ).

tcf(c_193798,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_190801]) ).

tcf(c_193799,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_190311]) ).

tcf(c_193800,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_186898]) ).

tcf(c_193801,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_16,m(iPr_def_17,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_187494]) ).

tcf(c_193802,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_20)
      | ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_191045]) ).

tcf(c_193843,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_193788,c_192307]) ).

tcf(c_193999,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ~ mem(e,m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_193135,c_49]) ).

tcf(c_194099,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(e,X0))
      | ~ mem(iPr_def_12,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_193766,c_49]) ).

tcf(c_194101,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_193766,c_187457]) ).

tcf(c_194107,plain,
    sK0(iPr_def_20,iPr_def_17) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_187695,c_68,c_74,c_1179,c_1268,c_1282,c_2800,c_35004,c_51531,c_66976,c_172304]) ).

tcf(c_194109,plain,
    ( subq(iPr_def_20,iPr_def_17)
    | ~ mem(iPr_def_19,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194107,c_49]) ).

tcf(c_194111,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_17)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194107,c_188300]) ).

tcf(c_194119,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,iPr_def_17)
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_194109]) ).

tcf(c_194148,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,s(X0))
      | ( X0 = iPr_def_16 )
      | ~ mem(iPr_def_16,s(X0)) ),
    inference(superposition,[status(thm)],[c_187544,c_49]) ).

tcf(c_194150,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,s(X0))
      | ( X0 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187544,c_187918]) ).

tcf(c_194160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_17,m(X0,X2)) = iPr_def_16 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_187547,c_51]) ).

tcf(c_194161,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(e,X0)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_187547,c_53]) ).

tcf(c_194162,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(s(X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_55]) ).

tcf(c_194163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(u(X0,X1),X2)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_58]) ).

tcf(c_194164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(m(X1,X0),X2)) = iPr_def_16 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_187547,c_61]) ).

tcf(c_194165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(m(X0,X1),X2)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_60]) ).

tcf(c_194166,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_63]) ).

tcf(c_194167,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181002]) ).

tcf(c_194168,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_183361]) ).

tcf(c_194169,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181021]) ).

tcf(c_194170,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_190313]) ).

tcf(c_194171,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_183362]) ).

tcf(c_194172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181149]) ).

tcf(c_194173,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181127]) ).

tcf(c_194174,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_16)
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_186900]) ).

tcf(c_194175,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181150]) ).

tcf(c_194176,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181023]) ).

tcf(c_194177,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_16)
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_187056]) ).

tcf(c_194179,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181024]) ).

tcf(c_194180,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_187496]) ).

tcf(c_194183,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_16)
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_187975]) ).

tcf(c_194185,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181026]) ).

tcf(c_194186,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_17,m(iPr_def_13,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_183534]) ).

tcf(c_194187,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_181400]) ).

tcf(c_194192,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_10)
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_185546]) ).

tcf(c_194193,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_192580]) ).

tcf(c_194194,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_20)
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_185848]) ).

tcf(c_194295,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(e,X0))
      | ~ mem(iPr_def_16,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_194161,c_49]) ).

tcf(c_194297,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_194161,c_187918]) ).

tcf(c_194316,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,s(X0))
      | ( X0 = iPr_def_19 )
      | ~ mem(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_187678,c_49]) ).

tcf(c_194318,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,s(X0))
      | ( X0 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187678,c_188300]) ).

tcf(c_194329,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_188462,c_51]) ).

tcf(c_194330,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_10)
    | ( iPr_def_10 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_188462,c_187056]) ).

tcf(c_194332,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_188462,c_181024]) ).

tcf(c_194350,plain,
    sK0(iPr_def_12,iPr_def_19) = iPr_def_10,
    inference(global_subsumption_just,[status(thm)],[c_189956,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_67507,c_189956]) ).

tcf(c_194352,plain,
    ( subq(iPr_def_12,iPr_def_19)
    | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194350,c_49]) ).

tcf(c_194354,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_19)
    | subq(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194350,c_190419]) ).

tcf(c_194358,plain,
    ( subq(iPr_def_12,iPr_def_19)
    | ~ subq(iPr_def_10,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_194350,c_181254]) ).

tcf(c_194369,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_194352]) ).

tcf(c_194410,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181095,c_193438]) ).

tcf(c_194422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(X0,X2)) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_187681,c_51]) ).

tcf(c_194423,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(e,X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187681,c_53]) ).

tcf(c_194424,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(s(X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_55]) ).

tcf(c_194425,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(u(X0,X1),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_58]) ).

tcf(c_194426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(m(X1,X0),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187681,c_61]) ).

tcf(c_194427,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(m(X0,X1),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_60]) ).

tcf(c_194428,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_63]) ).

tcf(c_194429,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,m(iPr_def_19,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181002]) ).

tcf(c_194430,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_183361]) ).

tcf(c_194431,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181021]) ).

tcf(c_194432,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_190313]) ).

tcf(c_194433,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_183362]) ).

tcf(c_194434,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181149]) ).

tcf(c_194435,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181127]) ).

tcf(c_194436,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_20,m(iPr_def_14,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_186900]) ).

tcf(c_194437,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( sK0(iPr_def_20,m(iPr_def_14,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181150]) ).

tcf(c_194438,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_14,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181023]) ).

tcf(c_194439,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_19)
      | ( sK0(iPr_def_20,m(iPr_def_16,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_187056]) ).

tcf(c_194440,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ( sK0(iPr_def_20,m(iPr_def_16,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181128]) ).

tcf(c_194441,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_16,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181024]) ).

tcf(c_194442,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_20,m(iPr_def_17,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_187496]) ).

tcf(c_194443,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ( sK0(iPr_def_20,m(iPr_def_17,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181151]) ).

tcf(c_194444,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_17,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181025]) ).

tcf(c_194445,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | ( sK0(iPr_def_20,m(iPr_def_20,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_187975]) ).

tcf(c_194448,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_20,m(iPr_def_13,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_183534]) ).

tcf(c_194449,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,m(iPr_def_15,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181400]) ).

tcf(c_194451,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | mem(iPr_def_19,iPr_def_16)
      | ( sK0(iPr_def_20,m(iPr_def_18,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_181401]) ).

tcf(c_194454,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_10)
      | ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_187902]) ).

tcf(c_194455,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_16)
      | ( sK0(iPr_def_20,m(iPr_def_16,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_192767]) ).

tcf(c_194456,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_17)
      | ( sK0(iPr_def_20,m(iPr_def_17,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_194109]) ).

tcf(c_194458,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(iPr_def_16),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187681,c_192574]) ).

tcf(c_194479,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(iPr_def_19,X0)) = iPr_def_19,
    inference(forward_subsumption_resolution,[status(thm)],[c_194429,c_192307]) ).

tcf(c_194581,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(e,X0))
      | ~ mem(iPr_def_19,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_194423,c_49]) ).

tcf(c_194583,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_194423,c_188300]) ).

tcf(c_194607,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,s(X0))
      | ( X0 = iPr_def_10 )
      | ~ mem(iPr_def_10,s(X0)) ),
    inference(superposition,[status(thm)],[c_189951,c_49]) ).

tcf(c_194609,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,s(X0))
      | ( X0 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189951,c_190419]) ).

tcf(c_194613,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,s(X1))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_189951,c_183665]) ).

tcf(c_194626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_12,m(X0,X2)) = iPr_def_10 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_189954,c_51]) ).

tcf(c_194627,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(e,X0)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_189954,c_53]) ).

tcf(c_194628,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(s(X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_55]) ).

tcf(c_194629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(u(X0,X1),X2)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_58]) ).

tcf(c_194630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(m(X1,X0),X2)) = iPr_def_10 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_189954,c_61]) ).

tcf(c_194631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(m(X0,X1),X2)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_60]) ).

tcf(c_194632,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_63]) ).

tcf(c_194633,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_12,m(iPr_def_19,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181002]) ).

tcf(c_194635,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_10,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181021]) ).

tcf(c_194636,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | ( sK0(iPr_def_12,m(iPr_def_12,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_190313]) ).

tcf(c_194640,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_12,m(iPr_def_14,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_186900]) ).

tcf(c_194642,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_12,m(iPr_def_14,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181023]) ).

tcf(c_194643,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(iPr_def_16,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_187056]) ).

tcf(c_194644,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_12,m(iPr_def_16,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181128]) ).

tcf(c_194645,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_12,m(iPr_def_16,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181024]) ).

tcf(c_194646,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_12,m(iPr_def_17,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_187496]) ).

tcf(c_194647,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_12,m(iPr_def_17,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181151]) ).

tcf(c_194648,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_12,m(iPr_def_17,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181025]) ).

tcf(c_194649,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_12,m(iPr_def_20,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_187975]) ).

tcf(c_194651,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(iPr_def_20,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181026]) ).

tcf(c_194655,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_12,m(iPr_def_18,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_181401]) ).

tcf(c_194658,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_19)
      | ( sK0(iPr_def_12,m(iPr_def_19,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_194352]) ).

tcf(c_194794,plain,
    ~ subq(iPr_def_10,iPr_def_12),
    inference(global_subsumption_just,[status(thm)],[c_194358,c_68,c_69,c_74,c_1178,c_2683,c_5028,c_67507]) ).

tcf(c_194796,plain,
    sK0(iPr_def_12,p(iPr_def_12)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_189955,c_194794]) ).

tcf(c_194799,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X0))
      | ~ mem(iPr_def_19,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_194479,c_49]) ).

tcf(c_194801,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_194479,c_188300]) ).

tcf(c_194806,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(e,X0))
      | ~ mem(iPr_def_10,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_194627,c_49]) ).

tcf(c_194808,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(e,X0)) ),
    inference(superposition,[status(thm)],[c_194627,c_190419]) ).

tcf(c_194812,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(e,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_194627,c_183665]) ).

tcf(c_194823,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_189966,c_51]) ).

tcf(c_194824,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189966,c_181401]) ).

tcf(c_194843,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181095,c_193464]) ).

tcf(c_194859,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_192373,c_51]) ).

tcf(c_194860,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192373,c_190313]) ).

tcf(c_194861,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192373,c_183362]) ).

tcf(c_194862,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192373,c_181149]) ).

tcf(c_194863,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192373,c_181127]) ).

tcf(c_194922,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_192396,c_51]) ).

tcf(c_194940,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_192431,c_51]) ).

tcf(c_194958,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_192466,c_51]) ).

tcf(c_194973,plain,
    sK0(iPr_def_12,iPr_def_10) = iPr_def_10,
    inference(global_subsumption_just,[status(thm)],[c_189958,c_68,c_69,c_74,c_1178,c_2683,c_189958]) ).

tcf(c_194975,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194973,c_49]) ).

tcf(c_194977,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_10)
    | subq(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194973,c_190419]) ).

tcf(c_194988,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(iPr_def_10,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_194975]) ).

tcf(c_195000,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | ( iPr_def_16 = iPr_def_17 )
      | ( sK0(iPr_def_16,m(iPr_def_17,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_191174]) ).

tcf(c_195001,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_191174]) ).

tcf(c_195003,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | ( iPr_def_16 = iPr_def_17 )
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_191174]) ).

tcf(c_195004,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_191174]) ).

tcf(c_195005,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183132,c_191174]) ).

tcf(c_195047,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_191201]) ).

tcf(c_195048,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_191201]) ).

tcf(c_195050,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_191201]) ).

tcf(c_195051,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_191201]) ).

tcf(c_195052,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_191201]) ).

tcf(c_195091,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(e,X0))
      | ~ mem(e,e) ),
    inference(superposition,[status(thm)],[c_59,c_193166]) ).

tcf(c_195092,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(e,X0))
      | ( sK0(iPr_def_10,m(m(e,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193166]) ).

tcf(c_195100,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_189969,c_51]) ).

tcf(c_195101,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189969,c_181401]) ).

tcf(c_195188,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_191255,c_51]) ).

tcf(c_195189,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_191255,c_190313]) ).

tcf(c_195190,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_191255,c_183362]) ).

tcf(c_195191,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_191255,c_181149]) ).

tcf(c_195192,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_191255,c_181127]) ).

tcf(c_195207,plain,
    ( atleast2p(iPr_def_12)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_195189,c_194794]) ).

tcf(c_195466,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_195207,c_184415]) ).

tcf(c_195467,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_12 = iPr_def_15 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_195207,c_183630]) ).

tcf(c_195468,plain,
    ( atleast3p(iPr_def_13)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_195207,c_183685]) ).

tcf(c_195532,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(global_subsumption_just,[status(thm)],[c_195005,c_68,c_69,c_74,c_1178,c_1179,c_1268,c_1282,c_2683,c_2800,c_5028,c_31220,c_35004,c_51490,c_51531,c_59845,c_172304]) ).

tcf(c_195538,plain,
    ( atleast3p(iPr_def_17)
    | subq(iPr_def_17,iPr_def_16)
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_195532,c_65]) ).

tcf(c_195539,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_17,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_195532,c_52]) ).

tcf(c_195545,plain,
    ( subq(iPr_def_17,iPr_def_16)
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_195538,c_181716]) ).

tcf(c_195678,plain,
    ( subq(iPr_def_17,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(global_subsumption_just,[status(thm)],[c_195545,c_68,c_69,c_74,c_1178,c_1179,c_1268,c_1282,c_2683,c_2800,c_5028,c_35004,c_36816,c_51490,c_51531,c_59845,c_172304]) ).

tcf(c_195685,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_16,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_195678,c_52]) ).

tcf(c_195686,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_195678,c_193464]) ).

tcf(c_195687,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_195678,c_193438]) ).

tcf(c_195688,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_16)
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_195678,c_189330]) ).

tcf(c_195718,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ( iPr_def_14 = iPr_def_16 ) ),
    inference(global_subsumption_just,[status(thm)],[c_195052,c_146500]) ).

tcf(c_195719,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(renaming,[status(thm)],[c_195718]) ).

tcf(c_195726,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_195719,c_51]) ).

tcf(c_195727,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_190313]) ).

tcf(c_195728,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_12 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_183362]) ).

tcf(c_195729,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_181149]) ).

tcf(c_195730,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_181127]) ).

tcf(c_195750,plain,
    ( atleast2p(iPr_def_12)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_195727,c_194794]) ).

tcf(c_195791,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187129,c_192372]) ).

tcf(c_195792,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_13,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188405,c_192372]) ).

tcf(c_195793,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186960,c_192372]) ).

tcf(c_195794,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_19,sK0(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186953,c_192372]) ).

tcf(c_195883,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_192394,c_51]) ).

tcf(c_195884,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192394,c_183361]) ).

tcf(c_195885,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( e = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192394,c_181021]) ).

tcf(c_195886,plain,
    ( subq(iPr_def_17,iPr_def_10)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192394,c_185546]) ).

tcf(c_195912,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_192429,c_51]) ).

tcf(c_195913,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192429,c_183361]) ).

tcf(c_195914,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( e = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192429,c_181021]) ).

tcf(c_195915,plain,
    ( subq(iPr_def_20,iPr_def_10)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192429,c_187902]) ).

tcf(c_195941,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_192464,c_51]) ).

tcf(c_195942,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192464,c_183361]) ).

tcf(c_195943,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( e = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192464,c_181021]) ).

tcf(c_195944,plain,
    ( atleast2p(iPr_def_10)
    | subq(iPr_def_10,iPr_def_19)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192464,c_181263]) ).

tcf(c_195945,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192464,c_190801]) ).

tcf(c_195968,plain,
    sK0(iPr_def_14,p(e)) = iPr_def_13,
    inference(global_subsumption_just,[status(thm)],[c_191557,c_69,c_1787,c_64398]) ).

tcf(c_195970,plain,
    ( subq(iPr_def_14,p(e))
    | ~ mem(iPr_def_13,p(e)) ),
    inference(superposition,[status(thm)],[c_195968,c_49]) ).

tcf(c_195972,plain,
    ( subq(iPr_def_14,p(e))
    | ~ subq(iPr_def_13,e) ),
    inference(superposition,[status(thm)],[c_195968,c_181012]) ).

tcf(c_195973,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(e)) ),
    inference(superposition,[status(thm)],[c_195968,c_186953]) ).

tcf(c_195976,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(e))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_195968,c_183910]) ).

tcf(c_195984,plain,
    ~ mem(iPr_def_13,p(e)),
    inference(global_subsumption_just,[status(thm)],[c_195970,c_69,c_1787,c_48543]) ).

tcf(c_195986,plain,
    ~ subq(iPr_def_13,e),
    inference(superposition,[status(thm)],[c_62,c_195984]) ).

tcf(c_195987,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(p(e),X0)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_187128,c_195984]) ).

tcf(c_195996,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_20,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193183]) ).

tcf(c_196005,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_17,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193188]) ).

tcf(c_196014,plain,
    ( ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_191992]) ).

tcf(c_196018,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(iPr_def_16),X0))
      | ~ mem(iPr_def_19,m(p(iPr_def_16),X0)) ),
    inference(superposition,[status(thm)],[c_194458,c_49]) ).

tcf(c_196020,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(iPr_def_16),X0)) ),
    inference(superposition,[status(thm)],[c_194458,c_188300]) ).

tcf(c_196033,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_192538,c_51]) ).

tcf(c_196034,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192538,c_183361]) ).

tcf(c_196035,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( e = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192538,c_181021]) ).

tcf(c_196036,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_192538,c_190646]) ).

tcf(c_196060,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ mem(iPr_def_13,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_196014,c_49]) ).

tcf(c_196062,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_196014,c_181012]) ).

tcf(c_196063,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_21))
    | ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_196014,c_186953]) ).

tcf(c_196066,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_21))
      | ( iPr_def_13 = iPr_def_21 )
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_196014,c_183910]) ).

tcf(c_196100,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ~ atleast3p(iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 ) ),
    inference(global_subsumption_just,[status(thm)],[c_192393,c_1178,c_1179,c_1268,c_2800,c_35004,c_41683,c_148576,c_172304]) ).

tcf(c_196101,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(renaming,[status(thm)],[c_196100]) ).

tcf(c_196110,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_196101,c_51]) ).

tcf(c_196112,plain,
    ( atleast2p(iPr_def_12)
    | ( e = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_196101,c_181021]) ).

tcf(c_196113,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_17,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_196101,c_185546]) ).

tcf(c_196153,plain,
    ( atleast2p(iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(global_subsumption_just,[status(thm)],[c_192428,c_68,c_74,c_1189,c_1668,c_3080,c_37008,c_44248,c_172647,c_196112]) ).

tcf(c_196178,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,p(X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_192392]) ).

tcf(c_196180,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187221,c_192392]) ).

tcf(c_196181,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183528,c_192392]) ).

tcf(c_196182,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_192392]) ).

tcf(c_196183,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_192392]) ).

tcf(c_196184,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_16,sK0(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_192392]) ).

tcf(c_196187,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_192392]) ).

tcf(c_196188,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_16,iPr_def_10)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_16,sK0(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187457,c_192392]) ).

tcf(c_196190,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_192392]) ).

tcf(c_196287,plain,
    ( ( s(e) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ( sK0(s(e),iPr_def_13) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_191565]) ).

tcf(c_196288,plain,
    ( ( s(iPr_def_13) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ( sK0(s(iPr_def_13),iPr_def_13) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193293,c_191565]) ).

tcf(c_196290,plain,
    ( ( s(iPr_def_12) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ( sK0(s(iPr_def_12),iPr_def_13) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193015,c_191565]) ).

tcf(c_196292,plain,
    ( ( s(iPr_def_16) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ( sK0(s(iPr_def_16),iPr_def_13) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192554,c_191565]) ).

tcf(c_196294,plain,
    ( ( s(iPr_def_19) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ( sK0(s(iPr_def_19),iPr_def_13) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_191565]) ).

tcf(c_196295,plain,
    ( ( s(iPr_def_10) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ( sK0(s(iPr_def_10),iPr_def_13) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_191565]) ).

tcf(c_196296,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ mem(iPr_def_13,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_191565,c_49]) ).

tcf(c_196298,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_191565,c_181012]) ).

tcf(c_196299,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 ) ),
    inference(superposition,[status(thm)],[c_191565,c_186953]) ).

tcf(c_196302,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( s(X1) = iPr_def_13 )
      | ( sK0(s(X1),iPr_def_13) = X1 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_191565,c_183910]) ).

tcf(c_196304,plain,
    ( ( iPr_def_13 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_196294,c_666]) ).

tcf(c_196308,plain,
    ( ( iPr_def_13 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_13) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_196292,c_192554]) ).

tcf(c_196312,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_16,iPr_def_13) = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_196290,c_193015]) ).

tcf(c_196316,plain,
    ( ( iPr_def_13 = iPr_def_14 )
    | ( sK0(iPr_def_14,iPr_def_13) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_196288,c_193293]) ).

tcf(c_196320,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_10,iPr_def_13) = e )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_196287,c_656]) ).

tcf(c_196377,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_16,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193198]) ).

tcf(c_196391,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_14,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193406]) ).

tcf(c_196405,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_12,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193412]) ).

tcf(c_196434,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_15,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193417]) ).

tcf(c_196443,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_195191,c_51]) ).

tcf(c_196444,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_195191,c_183534]) ).

tcf(c_196460,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_195192,c_51]) ).

tcf(c_196545,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(p(e),X0))
      | ~ mem(iPr_def_13,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_195987,c_49]) ).

tcf(c_196547,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_195987,c_186953]) ).

tcf(c_196550,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(e),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_195987,c_183910]) ).

tcf(c_196568,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,p(X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_192427]) ).

tcf(c_196570,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187221,c_192427]) ).

tcf(c_196571,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183528,c_192427]) ).

tcf(c_196572,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_192427]) ).

tcf(c_196573,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_192427]) ).

tcf(c_196574,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_19,sK0(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_192427]) ).

tcf(c_196577,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_192427]) ).

tcf(c_196578,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_19,iPr_def_10)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_19,sK0(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187457,c_192427]) ).

tcf(c_196580,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_192427]) ).

tcf(c_196660,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,p(X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_192462]) ).

tcf(c_196662,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187221,c_192462]) ).

tcf(c_196663,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183528,c_192462]) ).

tcf(c_196664,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_192462]) ).

tcf(c_196666,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_12,sK0(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_192462]) ).

tcf(c_196670,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_12,iPr_def_10)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_12,sK0(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187457,c_192462]) ).

tcf(c_196672,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_192462]) ).

tcf(c_196735,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,p(X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_192536]) ).

tcf(c_196737,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187221,c_192536]) ).

tcf(c_196738,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183528,c_192536]) ).

tcf(c_196739,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_192536]) ).

tcf(c_196740,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_192536]) ).

tcf(c_196741,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_13,sK0(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_192536]) ).

tcf(c_196744,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_192536]) ).

tcf(c_196745,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_13,iPr_def_10)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_13,sK0(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187457,c_192536]) ).

tcf(c_196747,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_192536]) ).

tcf(c_196821,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_193225,c_51]) ).

tcf(c_196823,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_55]) ).

tcf(c_196824,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(u(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_58]) ).

tcf(c_196825,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X1,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_193225,c_61]) ).

tcf(c_196826,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_60]) ).

tcf(c_196827,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_63]) ).

tcf(c_196828,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_19)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181002]) ).

tcf(c_196829,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_183361]) ).

tcf(c_196830,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181021]) ).

tcf(c_196831,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_190313]) ).

tcf(c_196832,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_183362]) ).

tcf(c_196833,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181149]) ).

tcf(c_196834,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181127]) ).

tcf(c_196835,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_186900]) ).

tcf(c_196836,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181150]) ).

tcf(c_196837,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181023]) ).

tcf(c_196838,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_187056]) ).

tcf(c_196840,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181024]) ).

tcf(c_196841,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_187496]) ).

tcf(c_196844,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_187975]) ).

tcf(c_196846,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181026]) ).

tcf(c_196847,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_183534]) ).

tcf(c_196848,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_181400]) ).

tcf(c_196853,plain,
    ( subq(iPr_def_17,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_185546]) ).

tcf(c_196854,plain,
    ( atleast2p(iPr_def_20)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_192580]) ).

tcf(c_196855,plain,
    ( subq(iPr_def_17,iPr_def_20)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_185848]) ).

tcf(c_196951,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(light_normalisation,[status(thm)],[c_669,c_60436]) ).

tcf(c_196966,plain,
    mem(iPr_def_12,iPr_def_16),
    inference(superposition,[status(thm)],[c_662,c_54]) ).

tcf(c_196971,plain,
    u(iPr_def_15,iPr_def_21) = iPr_def_21,
    inference(light_normalisation,[status(thm)],[c_668,c_60436]) ).

tcf(c_197102,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_56]) ).

tcf(c_197103,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_56]) ).

tcf(c_197104,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ~ mem(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_196971,c_56]) ).

tcf(c_197106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ mem(sK0(X0,u(X1,X2)),X1) ),
    inference(superposition,[status(thm)],[c_56,c_49]) ).

tcf(c_197144,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | mem(sK0(m(X0,X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_50,c_60]) ).

tcf(c_197151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | ~ mem(sK0(m(X0,X1),X2),X1) ),
    inference(superposition,[status(thm)],[c_50,c_61]) ).

tcf(c_197197,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_15,iPr_def_21))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_196971,c_197106]) ).

tcf(c_197202,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_197197,c_196971]) ).

tcf(c_197281,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_15,X0),X1)
      | mem(sK0(m(iPr_def_15,X0),X1),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_197144,c_197104]) ).

tcf(c_197291,plain,
    ! [X0: $i] : subq(m(iPr_def_15,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_197144,c_197202]) ).

tcf(c_197299,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_197291,c_196951]) ).

tcf(c_197329,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | mem(sK0(X0,X2),X1)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

tcf(c_197519,plain,
    ! [X0: $i] : subq(m(iPr_def_15,iPr_def_21),X0),
    inference(superposition,[status(thm)],[c_197281,c_197151]) ).

tcf(c_198324,plain,
    mem(iPr_def_12,iPr_def_18),
    inference(superposition,[status(thm)],[c_196966,c_197102]) ).

tcf(c_198352,plain,
    mem(iPr_def_12,iPr_def_21),
    inference(superposition,[status(thm)],[c_198324,c_197103]) ).

tcf(c_198359,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_198352,c_51]) ).

tcf(c_198821,plain,
    ( subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_10 = iPr_def_13 )
    | ~ mem(iPr_def_13,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_191568,c_49]) ).

tcf(c_198824,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_10 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191568,c_186953]) ).

tcf(c_198827,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_10))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_191568,c_183910]) ).

tcf(c_198840,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_18,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193423]) ).

tcf(c_198849,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(e,X0))
      | ~ mem(iPr_def_13,e) ),
    inference(superposition,[status(thm)],[c_59,c_193721]) ).

tcf(c_198850,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(e,X0))
      | ( sK0(iPr_def_14,m(m(e,X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_193721]) ).

tcf(c_198859,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_21,X0))
      | ~ mem(e,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_59,c_193999]) ).

tcf(c_198860,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(iPr_def_10,m(m(iPr_def_21,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_193999]) ).

tcf(c_198873,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(e,X0))
      | ~ mem(iPr_def_12,e) ),
    inference(superposition,[status(thm)],[c_59,c_194099]) ).

tcf(c_198874,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(e,X0))
      | ( sK0(iPr_def_16,m(m(e,X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_194099]) ).

tcf(c_198877,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(e,X0))
      | ( sK0(iPr_def_17,m(m(e,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_194099]) ).

tcf(c_198890,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(s(sK0(X0,X1)),X1) = sK0(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_182860,c_49]) ).

tcf(c_198891,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,X1)
      | ( sK0(s(X2),X0) = X2 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_182860,c_51]) ).

tcf(c_198892,plain,
    ! [X0: $i] : sK0(s(X0),e) = X0,
    inference(superposition,[status(thm)],[c_182860,c_53]) ).

tcf(c_198893,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( sK0(s(X0),s(X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_55]) ).

tcf(c_198894,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | mem(X0,X1)
      | ( sK0(s(X0),u(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_58]) ).

tcf(c_198895,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(X0),m(X2,X1)) = X0 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_182860,c_61]) ).

tcf(c_198896,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | ( sK0(s(X0),m(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_60]) ).

tcf(c_198897,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(s(X0),p(X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_63]) ).

tcf(c_198898,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_12)
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181002]) ).

tcf(c_198899,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ( sK0(s(X0),iPr_def_10) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_183361]) ).

tcf(c_198900,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ( sK0(s(X0),iPr_def_10) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181021]) ).

tcf(c_198901,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,X0)
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_190313]) ).

tcf(c_198902,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_183362]) ).

tcf(c_198903,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181149]) ).

tcf(c_198904,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181127]) ).

tcf(c_198905,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,X0)
      | ( sK0(s(X0),iPr_def_14) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_186900]) ).

tcf(c_198906,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | ( sK0(s(X0),iPr_def_14) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181150]) ).

tcf(c_198907,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_14) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181023]) ).

tcf(c_198908,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,X0)
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187056]) ).

tcf(c_198909,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181128]) ).

tcf(c_198910,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181024]) ).

tcf(c_198911,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,X0)
      | ( sK0(s(X0),iPr_def_17) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187496]) ).

tcf(c_198912,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_18)
      | ( sK0(s(X0),iPr_def_17) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181151]) ).

tcf(c_198913,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(s(X0),iPr_def_17) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181025]) ).

tcf(c_198914,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,X0)
      | ( sK0(s(X0),iPr_def_20) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187975]) ).

tcf(c_198915,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(s(X0),iPr_def_20) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181152]) ).

tcf(c_198916,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_20) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181026]) ).

tcf(c_198917,plain,
    sK0(s(e),iPr_def_20) = e,
    inference(superposition,[status(thm)],[c_182860,c_189654]) ).

tcf(c_198918,plain,
    sK0(s(e),iPr_def_17) = e,
    inference(superposition,[status(thm)],[c_182860,c_189349]) ).

tcf(c_198919,plain,
    sK0(s(e),iPr_def_16) = e,
    inference(superposition,[status(thm)],[c_182860,c_188033]) ).

tcf(c_198920,plain,
    sK0(s(e),iPr_def_14) = e,
    inference(superposition,[status(thm)],[c_182860,c_188023]) ).

tcf(c_198921,plain,
    sK0(s(e),iPr_def_12) = e,
    inference(superposition,[status(thm)],[c_182860,c_185745]) ).

tcf(c_198922,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | mem(X0,iPr_def_10)
      | ( sK0(s(X0),iPr_def_13) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_183534]) ).

tcf(c_198923,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | mem(X0,iPr_def_12)
      | ( sK0(s(X0),iPr_def_15) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181400]) ).

tcf(c_198924,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(s(X0),iPr_def_15) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181130]) ).

tcf(c_198925,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | mem(X0,iPr_def_16)
      | ( sK0(s(X0),iPr_def_18) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181401]) ).

tcf(c_198926,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(s(X0),iPr_def_18) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181129]) ).

tcf(c_198927,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_20)
      | mem(X0,iPr_def_18)
      | ( sK0(s(X0),iPr_def_21) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181402]) ).

tcf(c_198928,plain,
    sK0(s(e),iPr_def_15) = e,
    inference(superposition,[status(thm)],[c_182860,c_186043]) ).

tcf(c_198929,plain,
    sK0(s(e),iPr_def_18) = e,
    inference(superposition,[status(thm)],[c_182860,c_189664]) ).

tcf(c_198930,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(s(iPr_def_12),X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_181263]) ).

tcf(c_198931,plain,
    sK0(s(iPr_def_13),p(e)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_182860,c_195984]) ).

tcf(c_198932,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( sK0(s(iPr_def_13),iPr_def_10) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_190646]) ).

tcf(c_198933,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( sK0(s(iPr_def_12),iPr_def_10) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_190801]) ).

tcf(c_198934,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(s(iPr_def_12),iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_190311]) ).

tcf(c_198935,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(s(iPr_def_12),iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_191201]) ).

tcf(c_198936,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(s(iPr_def_12),iPr_def_14) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_186898]) ).

tcf(c_198937,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ( sK0(s(iPr_def_12),iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_191174]) ).

tcf(c_198938,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(s(iPr_def_12),iPr_def_17) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187494]) ).

tcf(c_198939,plain,
    ( subq(iPr_def_16,iPr_def_20)
    | ( sK0(s(iPr_def_12),iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_191045]) ).

tcf(c_198940,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_19)
    | ( sK0(s(iPr_def_12),iPr_def_20) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187973]) ).

tcf(c_198941,plain,
    ( subq(iPr_def_17,iPr_def_10)
    | ( sK0(s(iPr_def_16),iPr_def_10) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_185546]) ).

tcf(c_198942,plain,
    ( atleast2p(iPr_def_20)
    | ( sK0(s(iPr_def_16),iPr_def_20) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_192580]) ).

tcf(c_198943,plain,
    ( subq(iPr_def_17,iPr_def_20)
    | ( sK0(s(iPr_def_16),iPr_def_20) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_185848]) ).

tcf(c_198944,plain,
    ( subq(iPr_def_20,iPr_def_10)
    | ( sK0(s(iPr_def_19),iPr_def_10) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187902]) ).

tcf(c_198945,plain,
    ( subq(iPr_def_20,iPr_def_16)
    | ( sK0(s(iPr_def_19),iPr_def_16) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_192767]) ).

tcf(c_198946,plain,
    ( subq(iPr_def_20,iPr_def_17)
    | ( sK0(s(iPr_def_19),iPr_def_17) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194109]) ).

tcf(c_198947,plain,
    ( subq(iPr_def_12,iPr_def_19)
    | ( sK0(s(iPr_def_10),iPr_def_19) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194352]) ).

tcf(c_198948,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(s(iPr_def_10),iPr_def_10) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194975]) ).

tcf(c_198949,plain,
    ( subq(iPr_def_20,iPr_def_19)
    | ( sK0(s(iPr_def_19),iPr_def_19) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_191732]) ).

tcf(c_198950,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ( sK0(s(iPr_def_13),iPr_def_19) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_190123]) ).

tcf(c_198951,plain,
    sK0(s(iPr_def_19),p(iPr_def_16)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_182860,c_192574]) ).

tcf(c_198952,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(s(e),m(iPr_def_20,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193183]) ).

tcf(c_198953,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(s(e),m(iPr_def_12,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193412]) ).

tcf(c_198954,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(s(e),m(iPr_def_14,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193406]) ).

tcf(c_198955,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(s(e),m(iPr_def_16,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193198]) ).

tcf(c_198956,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(s(e),m(iPr_def_17,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193188]) ).

tcf(c_198957,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(e,X0))
      | ( sK0(s(e),m(e,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193166]) ).

tcf(c_198958,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(s(e),m(iPr_def_15,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193417]) ).

tcf(c_198959,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(s(e),m(iPr_def_18,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193423]) ).

tcf(c_198960,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(e,X0))
      | ( sK0(s(iPr_def_13),m(e,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_193721]) ).

tcf(c_198961,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(s(e),m(iPr_def_21,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_193999]) ).

tcf(c_198962,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(e,X0))
      | ( sK0(s(iPr_def_12),m(e,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194099]) ).

tcf(c_199145,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ~ mem(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_186451,c_49]) ).

tcf(c_199147,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_12)
    | subq(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_186451,c_187457]) ).

tcf(c_199159,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_186602,c_51]) ).

tcf(c_199160,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | subq(iPr_def_16,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186602,c_187496]) ).

tcf(c_199161,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186602,c_181151]) ).

tcf(c_199162,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_13 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_186602,c_181025]) ).

tcf(c_199188,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,e)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183514,c_193228]) ).

tcf(c_199189,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_13)
      | subq(iPr_def_14,s(X0))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187125,c_193228]) ).

tcf(c_199190,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190644,c_193228]) ).

tcf(c_199191,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,p(e))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195968,c_193228]) ).

tcf(c_199192,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190122,c_193228]) ).

tcf(c_199193,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191565,c_193228]) ).

tcf(c_199194,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191568,c_193228]) ).

tcf(c_199196,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_13)
      | subq(iPr_def_14,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193584,c_193228]) ).

tcf(c_199197,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_13)
      | subq(iPr_def_14,m(p(e),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195987,c_193228]) ).

tcf(c_199198,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X1)
      | subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(sK0(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_193228,c_51]) ).

tcf(c_199306,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_193273,c_51]) ).

tcf(c_199308,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_55]) ).

tcf(c_199309,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(u(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_58]) ).

tcf(c_199310,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X1,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_193273,c_61]) ).

tcf(c_199311,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_60]) ).

tcf(c_199312,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_63]) ).

tcf(c_199313,plain,
    ( subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_19)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181002]) ).

tcf(c_199314,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_183361]) ).

tcf(c_199315,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181021]) ).

tcf(c_199316,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_190313]) ).

tcf(c_199317,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_183362]) ).

tcf(c_199318,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181149]) ).

tcf(c_199319,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181127]) ).

tcf(c_199320,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_186900]) ).

tcf(c_199321,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181150]) ).

tcf(c_199322,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181023]) ).

tcf(c_199323,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_187056]) ).

tcf(c_199324,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181128]) ).

tcf(c_199325,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181024]) ).

tcf(c_199326,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_187496]) ).

tcf(c_199327,plain,
    ( mem(iPr_def_19,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181151]) ).

tcf(c_199328,plain,
    ( ( iPr_def_16 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181025]) ).

tcf(c_199329,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_187975]) ).

tcf(c_199332,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_183534]) ).

tcf(c_199333,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181400]) ).

tcf(c_199335,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | mem(iPr_def_19,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_18)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_181401]) ).

tcf(c_199338,plain,
    ( subq(iPr_def_20,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_187902]) ).

tcf(c_199339,plain,
    ( subq(iPr_def_20,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_192767]) ).

tcf(c_199340,plain,
    ( subq(iPr_def_20,iPr_def_17)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_194109]) ).

tcf(c_199342,plain,
    ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_16))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_192574]) ).

tcf(c_199380,plain,
    ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_19)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_199313,c_192307]) ).

tcf(c_199531,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,e)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183514,c_193276]) ).

tcf(c_199532,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_13)
      | subq(iPr_def_14,s(X0))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187125,c_193276]) ).

tcf(c_199533,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190644,c_193276]) ).

tcf(c_199534,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,p(e))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195968,c_193276]) ).

tcf(c_199535,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190122,c_193276]) ).

tcf(c_199536,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191565,c_193276]) ).

tcf(c_199537,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191568,c_193276]) ).

tcf(c_199539,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_13)
      | subq(iPr_def_14,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193584,c_193276]) ).

tcf(c_199540,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_13)
      | subq(iPr_def_14,m(p(e),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195987,c_193276]) ).

tcf(c_199541,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,X1)
      | subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(sK0(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_193276,c_51]) ).

tcf(c_199628,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_193492,c_51]) ).

tcf(c_199630,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_55]) ).

tcf(c_199631,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(u(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_58]) ).

tcf(c_199632,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X1,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_193492,c_61]) ).

tcf(c_199633,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_60]) ).

tcf(c_199634,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_63]) ).

tcf(c_199636,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_183361]) ).

tcf(c_199637,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181021]) ).

tcf(c_199638,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_190313]) ).

tcf(c_199639,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_183362]) ).

tcf(c_199640,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181149]) ).

tcf(c_199641,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181127]) ).

tcf(c_199642,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_186900]) ).

tcf(c_199643,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181150]) ).

tcf(c_199644,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181023]) ).

tcf(c_199645,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_187056]) ).

tcf(c_199648,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_187496]) ).

tcf(c_199650,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181025]) ).

tcf(c_199651,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_187975]) ).

tcf(c_199653,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181026]) ).

tcf(c_199654,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_183534]) ).

tcf(c_199655,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181400]) ).

tcf(c_199660,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_181263]) ).

tcf(c_199661,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_190801]) ).

tcf(c_199662,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_190311]) ).

tcf(c_199663,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_191201]) ).

tcf(c_199664,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_186898]) ).

tcf(c_199665,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_191174]) ).

tcf(c_199666,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_187494]) ).

tcf(c_199667,plain,
    ( subq(iPr_def_16,iPr_def_20)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_191045]) ).

tcf(c_199668,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_187973]) ).

tcf(c_199669,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(e,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_194099]) ).

tcf(c_199863,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,e)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183514,c_193495]) ).

tcf(c_199864,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,s(X0))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187125,c_193495]) ).

tcf(c_199865,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190644,c_193495]) ).

tcf(c_199866,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,p(e))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195968,c_193495]) ).

tcf(c_199867,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190122,c_193495]) ).

tcf(c_199868,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191565,c_193495]) ).

tcf(c_199869,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191568,c_193495]) ).

tcf(c_199871,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193584,c_193495]) ).

tcf(c_199872,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(p(e),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195987,c_193495]) ).

tcf(c_199873,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X1)
      | subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(sK0(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_193495,c_51]) ).

tcf(c_199874,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | atleast2p(sK0(iPr_def_14,X0))
      | subq(sK0(iPr_def_14,X0),iPr_def_19)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193495,c_181263]) ).

tcf(c_199972,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_193517,c_51]) ).

tcf(c_199974,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_55]) ).

tcf(c_199975,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(u(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_58]) ).

tcf(c_199976,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X1,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193517,c_61]) ).

tcf(c_199977,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_60]) ).

tcf(c_199978,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_63]) ).

tcf(c_199980,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_183361]) ).

tcf(c_199981,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181021]) ).

tcf(c_199983,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_183362]) ).

tcf(c_199984,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181149]) ).

tcf(c_199986,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_186900]) ).

tcf(c_199990,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181128]) ).

tcf(c_199991,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181024]) ).

tcf(c_199992,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_187496]) ).

tcf(c_199993,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181151]) ).

tcf(c_199994,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181025]) ).

tcf(c_199995,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_187975]) ).

tcf(c_199997,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181026]) ).

tcf(c_199998,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_183534]) ).

tcf(c_200001,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_18)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_181401]) ).

tcf(c_200004,plain,
    ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(e))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_195984]) ).

tcf(c_200005,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_190646]) ).

tcf(c_200007,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(e,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_193721]) ).

tcf(c_200183,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,e)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183514,c_193520]) ).

tcf(c_200184,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,s(X0))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187125,c_193520]) ).

tcf(c_200185,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190644,c_193520]) ).

tcf(c_200186,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(e))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195968,c_193520]) ).

tcf(c_200187,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_190122,c_193520]) ).

tcf(c_200188,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191565,c_193520]) ).

tcf(c_200189,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191568,c_193520]) ).

tcf(c_200191,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193584,c_193520]) ).

tcf(c_200192,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(p(e),X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_195987,c_193520]) ).

tcf(c_200193,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,X1)
      | subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(sK0(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_193520,c_51]) ).

tcf(c_200255,plain,
    sK0(iPr_def_16,p(e)) = iPr_def_12,
    inference(global_subsumption_just,[status(thm)],[c_191639,c_1670,c_35004,c_64961]) ).

tcf(c_200257,plain,
    ( subq(iPr_def_16,p(e))
    | ~ mem(iPr_def_12,p(e)) ),
    inference(superposition,[status(thm)],[c_200255,c_49]) ).

tcf(c_200259,plain,
    ( subq(iPr_def_16,p(e))
    | ~ subq(iPr_def_12,e) ),
    inference(superposition,[status(thm)],[c_200255,c_181012]) ).

tcf(c_200260,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(e)) ),
    inference(superposition,[status(thm)],[c_200255,c_187457]) ).

tcf(c_200296,plain,
    ~ mem(iPr_def_12,p(e)),
    inference(global_subsumption_just,[status(thm)],[c_200257,c_1670,c_35004,c_43540]) ).

tcf(c_200298,plain,
    sK0(s(iPr_def_12),p(e)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_182860,c_200296]) ).

tcf(c_200299,plain,
    ~ subq(iPr_def_12,e),
    inference(superposition,[status(thm)],[c_62,c_200296]) ).

tcf(c_200301,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(p(e),X0)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_187220,c_200296]) ).

tcf(c_200304,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(p(e),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_200296]) ).

tcf(c_200305,plain,
    ( ( sK0(iPr_def_17,p(e)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_200296]) ).

tcf(c_200319,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(e,X0))
      | ( sK0(s(iPr_def_16),m(e,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194295]) ).

tcf(c_200320,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(e,X0))
      | ~ mem(iPr_def_16,e) ),
    inference(superposition,[status(thm)],[c_59,c_194295]) ).

tcf(c_200321,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(e,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_194295]) ).

tcf(c_200322,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(e,X0))
      | ( sK0(iPr_def_17,m(m(e,X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_194295]) ).

tcf(c_200338,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(e,X0))
      | ( sK0(s(iPr_def_19),m(e,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194581]) ).

tcf(c_200339,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(e,X0))
      | ~ mem(iPr_def_19,e) ),
    inference(superposition,[status(thm)],[c_59,c_194581]) ).

tcf(c_200340,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(e,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(e,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_194581]) ).

tcf(c_200341,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(e,X0))
      | ( sK0(iPr_def_20,m(m(e,X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_194581]) ).

tcf(c_200353,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(p(e),X0))
      | ~ mem(iPr_def_12,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_200301,c_49]) ).

tcf(c_200355,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_200301,c_187457]) ).

tcf(c_200366,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_186615,c_51]) ).

tcf(c_200367,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | subq(iPr_def_16,iPr_def_10)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186615,c_187496]) ).

tcf(c_200368,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_186615,c_181151]) ).

tcf(c_200369,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_19 )
    | ( iPr_def_10 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_186615,c_181025]) ).

tcf(c_200404,plain,
    ( subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ~ mem(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187133,c_49]) ).

tcf(c_200406,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187133,c_193520]) ).

tcf(c_200407,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187133,c_193495]) ).

tcf(c_200408,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187133,c_193276]) ).

tcf(c_200409,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187133,c_193228]) ).

tcf(c_200410,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_12)
    | subq(iPr_def_13,iPr_def_13)
    | ( iPr_def_10 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187133,c_186953]) ).

tcf(c_200413,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_12)
      | mem(iPr_def_13,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187133,c_183910]) ).

tcf(c_200462,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_193519,c_68,c_69,c_74,c_1178,c_1665,c_2678,c_2683,c_14297,c_18995,c_147833,c_172582,c_193519]) ).

tcf(c_200474,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_19)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_200462,c_51]) ).

tcf(c_200475,plain,
    ( atleast2p(iPr_def_14)
    | atleast2p(iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_200462,c_190313]) ).

tcf(c_200476,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_200462,c_183362]) ).

tcf(c_200477,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_200462,c_181149]) ).

tcf(c_200478,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_15)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_200462,c_181127]) ).

tcf(c_200535,plain,
    ( ~ atleast3p(iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 ) ),
    inference(global_subsumption_just,[status(thm)],[c_193547,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_46205,c_51490,c_70081,c_133257,c_199322,c_199644]) ).

tcf(c_200536,plain,
    ( ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(renaming,[status(thm)],[c_200535]) ).

tcf(c_200543,plain,
    ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_200536]) ).

tcf(c_200555,plain,
    ( ( iPr_def_13 = iPr_def_15 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_193572]) ).

tcf(c_200566,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_195729,c_51]) ).

tcf(c_200567,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195729,c_183534]) ).

tcf(c_200585,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181095,c_195539]) ).

tcf(c_200586,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_195678,c_195539]) ).

tcf(c_200593,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ~ atleast2p(iPr_def_16) ),
    inference(global_subsumption_just,[status(thm)],[c_200586,c_68,c_69,c_74,c_663,c_1178,c_1179,c_1268,c_1282,c_2683,c_2800,c_5028,c_8160,c_35004,c_40384,c_51476,c_51490,c_51531,c_59845,c_121830,c_172304,c_195685]) ).

tcf(c_200599,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_191648,c_4041,c_4898,c_173336,c_176284,c_191010,c_198902]) ).

tcf(c_200607,plain,
    ( ( s(iPr_def_13) = iPr_def_12 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193293,c_200599]) ).

tcf(c_200609,plain,
    ( ( s(iPr_def_12) = iPr_def_12 )
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193015,c_200599]) ).

tcf(c_200611,plain,
    ( ( s(iPr_def_16) = iPr_def_12 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192554,c_200599]) ).

tcf(c_200613,plain,
    ( ( s(iPr_def_19) = iPr_def_12 )
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_200599]) ).

tcf(c_200615,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_12)
      | ( s(X0) = iPr_def_12 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_200599,c_49]) ).

tcf(c_200617,plain,
    ( ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_200613,c_666]) ).

tcf(c_200620,plain,
    ( ( iPr_def_12 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_200611,c_192554]) ).

tcf(c_200624,plain,
    ( ( iPr_def_12 = iPr_def_14 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_200607,c_193293]) ).

tcf(c_200634,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ~ mem(iPr_def_19,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_200617,c_49]) ).

tcf(c_200636,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_12)
    | subq(iPr_def_19,iPr_def_19)
    | ( iPr_def_12 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_200617,c_188300]) ).

tcf(c_200645,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X0))
      | ( sK0(s(iPr_def_19),m(iPr_def_19,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194799]) ).

tcf(c_200646,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_19,X0))
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_59,c_194799]) ).

tcf(c_200647,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_19,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_194799]) ).

tcf(c_200648,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X0))
      | ( sK0(iPr_def_20,m(m(iPr_def_19,X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_194799]) ).

tcf(c_200649,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | subq(iPr_def_20,m(iPr_def_19,X0))
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_194799]) ).

tcf(c_200673,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(e,X0))
      | ( sK0(s(iPr_def_10),m(e,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_194806]) ).

tcf(c_200674,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(e,X0))
      | ~ mem(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_59,c_194806]) ).

tcf(c_200675,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(e,X0))
      | ( sK0(iPr_def_12,m(m(e,X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_194806]) ).

tcf(c_200694,plain,
    ( subq(iPr_def_14,iPr_def_16)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ mem(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187140,c_49]) ).

tcf(c_200696,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,iPr_def_16)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187140,c_193520]) ).

tcf(c_200697,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,iPr_def_16)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187140,c_193495]) ).

tcf(c_200698,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,iPr_def_16)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187140,c_193276]) ).

tcf(c_200699,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,iPr_def_16)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187140,c_193228]) ).

tcf(c_200700,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_16)
    | subq(iPr_def_13,iPr_def_13)
    | ( iPr_def_12 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187140,c_186953]) ).

tcf(c_200703,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_16)
      | mem(iPr_def_13,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187140,c_183910]) ).

tcf(c_200771,plain,
    ( subq(iPr_def_14,iPr_def_17)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ mem(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_187142,c_49]) ).

tcf(c_200773,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,iPr_def_17)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187142,c_193520]) ).

tcf(c_200774,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,iPr_def_17)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187142,c_193495]) ).

tcf(c_200775,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,iPr_def_17)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187142,c_193276]) ).

tcf(c_200776,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,iPr_def_17)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187142,c_193228]) ).

tcf(c_200777,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_17)
    | subq(iPr_def_13,iPr_def_13)
    | ( iPr_def_13 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187142,c_186953]) ).

tcf(c_200780,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_17)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187142,c_183910]) ).

tcf(c_200890,plain,
    ( subq(iPr_def_14,iPr_def_20)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ mem(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_187144,c_49]) ).

tcf(c_200892,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,iPr_def_20)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187144,c_193520]) ).

tcf(c_200893,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,iPr_def_20)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187144,c_193495]) ).

tcf(c_200894,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,iPr_def_20)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187144,c_193276]) ).

tcf(c_200895,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,iPr_def_20)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187144,c_193228]) ).

tcf(c_200896,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_20)
    | subq(iPr_def_13,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187144,c_186953]) ).

tcf(c_200899,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_20)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187144,c_183910]) ).

tcf(c_200935,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ~ mem(iPr_def_12,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187225,c_49]) ).

tcf(c_200937,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_12)
    | subq(iPr_def_12,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187225,c_187457]) ).

tcf(c_200963,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_12,p(X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_64,c_195726]) ).

tcf(c_200965,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187221,c_195726]) ).

tcf(c_200966,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183528,c_195726]) ).

tcf(c_200967,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_195726]) ).

tcf(c_200969,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_12,sK0(iPr_def_19,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_195726]) ).

tcf(c_200973,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_12,sK0(iPr_def_16,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187457,c_195726]) ).

tcf(c_200975,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_195726]) ).

tcf(c_201023,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_194410,c_51]) ).

tcf(c_201025,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_55]) ).

tcf(c_201026,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,u(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_58]) ).

tcf(c_201027,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X1,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_194410,c_61]) ).

tcf(c_201028,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_60]) ).

tcf(c_201029,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_63]) ).

tcf(c_201030,plain,
    ( subq(iPr_def_13,iPr_def_12)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_181002]) ).

tcf(c_201034,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_183362]) ).

tcf(c_201035,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_181149]) ).

tcf(c_201037,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_186900]) ).

tcf(c_201042,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_181024]) ).

tcf(c_201045,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_17) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_181025]) ).

tcf(c_201049,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_13) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_183534]) ).

tcf(c_201057,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_190123]) ).

tcf(c_201116,plain,
    sK0(iPr_def_17,p(e)) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_192095,c_1668,c_37008,c_66281]) ).

tcf(c_201118,plain,
    ( subq(iPr_def_17,p(e))
    | ~ mem(iPr_def_16,p(e)) ),
    inference(superposition,[status(thm)],[c_201116,c_49]) ).

tcf(c_201120,plain,
    ( subq(iPr_def_17,p(e))
    | ~ subq(iPr_def_16,e) ),
    inference(superposition,[status(thm)],[c_201116,c_181012]) ).

tcf(c_201121,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(e)) ),
    inference(superposition,[status(thm)],[c_201116,c_187918]) ).

tcf(c_201128,plain,
    ~ mem(iPr_def_16,p(e)),
    inference(global_subsumption_just,[status(thm)],[c_201118,c_1668,c_37008,c_44233]) ).

tcf(c_201130,plain,
    sK0(s(iPr_def_16),p(e)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_182860,c_201128]) ).

tcf(c_201131,plain,
    ~ subq(iPr_def_16,e),
    inference(superposition,[status(thm)],[c_62,c_201128]) ).

tcf(c_201133,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(p(e),X0)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_187547,c_201128]) ).

tcf(c_201156,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X1)
      | subq(X1,X0)
      | ( sK0(s(X0),p(X1)) = X0 )
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_65]) ).

tcf(c_201157,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( sK0(s(X1),p(X0)) = X1 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_198897,c_52]) ).

tcf(c_201158,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ( sK0(s(X0),p(e)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181358]) ).

tcf(c_201159,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_19)
      | ( sK0(s(X0),p(iPr_def_12)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_180993]) ).

tcf(c_201160,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,p(X1))
      | ( sK0(s(sK0(X0,p(X1))),p(X1)) = sK0(X0,p(X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_181012]) ).

tcf(c_201161,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ( sK0(s(s(X0)),p(X1)) = s(X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_181284]) ).

tcf(c_201162,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_19),p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181295]) ).

tcf(c_201163,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(s(iPr_def_19),p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181294]) ).

tcf(c_201164,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(s(iPr_def_10),p(X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181288]) ).

tcf(c_201165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_195726]) ).

tcf(c_201166,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_192536]) ).

tcf(c_201167,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_192462]) ).

tcf(c_201168,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_192427]) ).

tcf(c_201169,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_192392]) ).

tcf(c_201170,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186629]) ).

tcf(c_201171,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186418]) ).

tcf(c_201172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186373]) ).

tcf(c_201173,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_187372]) ).

tcf(c_201174,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186666]) ).

tcf(c_201175,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183347]) ).

tcf(c_201177,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_14),p(X0)) = iPr_def_14 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186343]) ).

tcf(c_201178,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_14),p(X0)) = iPr_def_14 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186324]) ).

tcf(c_201179,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_14),p(X0)) = iPr_def_14 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186305]) ).

tcf(c_201180,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_14),p(X0)) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181290]) ).

tcf(c_201181,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_16),p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_198897,c_183780]) ).

tcf(c_201182,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_16),p(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181291]) ).

tcf(c_201184,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(s(iPr_def_17),p(X0)) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_198897,c_193464]) ).

tcf(c_201185,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(iPr_def_17),p(X0)) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_198897,c_193438]) ).

tcf(c_201186,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_17),p(X0)) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_198897,c_189330]) ).

tcf(c_201187,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_17),p(X0)) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_198897,c_183155]) ).

tcf(c_201188,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_17),p(X0)) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181292]) ).

tcf(c_201189,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(X0),X1)
      | ( sK0(p(X0),X1) = X0 )
      | ( sK0(s(X0),p(sK0(p(X0),X1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181359]) ).

tcf(c_201190,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_186614]) ).

tcf(c_201191,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_186601]) ).

tcf(c_201192,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_188416]) ).

tcf(c_201193,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181835]) ).

tcf(c_201194,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181297]) ).

tcf(c_201195,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183340]) ).

tcf(c_201196,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_182657]) ).

tcf(c_201197,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_182420]) ).

tcf(c_201198,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_182362]) ).

tcf(c_201199,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181650]) ).

tcf(c_201200,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_19)
      | ( sK0(s(sK0(X0,iPr_def_19)),p(iPr_def_12)) = sK0(X0,iPr_def_19) ) ),
    inference(superposition,[status(thm)],[c_198897,c_181254]) ).

tcf(c_201201,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_20),p(X0)) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_198897,c_186589]) ).

tcf(c_201202,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_20),p(X0)) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_198897,c_186577]) ).

tcf(c_201203,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_20),p(X0)) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181293]) ).

tcf(c_201204,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_184804]) ).

tcf(c_201205,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_184712]) ).

tcf(c_201206,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_184534]) ).

tcf(c_201207,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183356]) ).

tcf(c_201208,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181843]) ).

tcf(c_201209,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181840]) ).

tcf(c_201210,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181422]) ).

tcf(c_201211,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181661]) ).

tcf(c_201212,plain,
    sK0(s(iPr_def_21),p(e)) = iPr_def_21,
    inference(superposition,[status(thm)],[c_198897,c_185006]) ).

tcf(c_201213,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_192372]) ).

tcf(c_201214,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_191969]) ).

tcf(c_201215,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_191952]) ).

tcf(c_201216,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_191936]) ).

tcf(c_201217,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_191914]) ).

tcf(c_201218,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186861]) ).

tcf(c_201219,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_187427]) ).

tcf(c_201220,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_186839]) ).

tcf(c_201221,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183332]) ).

tcf(c_201222,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181444]) ).

tcf(c_201224,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X1) = X0 )
      | ( sK0(s(X1),X0) = X1 )
      | ( sK0(s(X0),p(s(X1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181560]) ).

tcf(c_201225,plain,
    ( ( iPr_def_12 = iPr_def_15 )
    | ( sK0(s(iPr_def_15),p(iPr_def_12)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_182646]) ).

tcf(c_201226,plain,
    ( ( iPr_def_16 = iPr_def_18 )
    | ( sK0(s(iPr_def_18),p(iPr_def_16)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_182826]) ).

tcf(c_201227,plain,
    ( ( iPr_def_18 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_18)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_182843]) ).

tcf(c_201228,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ( sK0(s(iPr_def_13),p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_190127]) ).

tcf(c_201229,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183057]) ).

tcf(c_201230,plain,
    ( ( iPr_def_14 = iPr_def_15 )
    | ( sK0(s(iPr_def_15),p(iPr_def_14)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183090]) ).

tcf(c_201231,plain,
    ( ( iPr_def_17 = iPr_def_18 )
    | ( sK0(s(iPr_def_18),p(iPr_def_17)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183111]) ).

tcf(c_201232,plain,
    ( ( iPr_def_20 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_20)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183277]) ).

tcf(c_201233,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_10)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183335]) ).

tcf(c_201234,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(p(iPr_def_10)),p(X0)) = p(iPr_def_10) ) ),
    inference(superposition,[status(thm)],[c_198897,c_183351]) ).

tcf(c_201235,plain,
    ( ( iPr_def_16 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_16)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183747]) ).

tcf(c_201236,plain,
    ( ( iPr_def_17 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_17)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_184150]) ).

tcf(c_201238,plain,
    sK0(s(iPr_def_19),p(iPr_def_12)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198897,c_192307]) ).

tcf(c_201239,plain,
    sK0(s(iPr_def_10),p(iPr_def_12)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_198897,c_194794]) ).

tcf(c_201240,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_180963]) ).

tcf(c_201241,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_15)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_181362]) ).

tcf(c_201242,plain,
    ( ( iPr_def_14 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_14)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183923]) ).

tcf(c_201243,plain,
    ( ( iPr_def_12 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_12)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_183670]) ).

tcf(c_201244,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | subq(p(iPr_def_21),X0)
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(X1)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_183354]) ).

tcf(c_201245,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | subq(p(iPr_def_21),X0)
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(X1)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_182688]) ).

tcf(c_201246,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | subq(p(iPr_def_21),X0)
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(X1)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_182464]) ).

tcf(c_201247,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | subq(p(iPr_def_21),X0)
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(X1)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_182431]) ).

tcf(c_201248,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | subq(p(iPr_def_21),X0)
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(X1)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_181997]) ).

tcf(c_201249,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ( sK0(s(iPr_def_17),p(iPr_def_16)) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_198897,c_195539]) ).

tcf(c_201250,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(p(iPr_def_19)),p(X0)) = p(iPr_def_19) ) ),
    inference(superposition,[status(thm)],[c_198897,c_183486]) ).

tcf(c_201251,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(p(iPr_def_13)),p(X0)) = p(iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_183338]) ).

tcf(c_201252,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(p(iPr_def_13)),p(X0)) = p(iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_183047]) ).

tcf(c_201253,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(p(iPr_def_13)),p(X0)) = p(iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_182209]) ).

tcf(c_201254,plain,
    ( ( iPr_def_13 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_191833]) ).

tcf(c_201255,plain,
    ( ( iPr_def_13 = iPr_def_15 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_15)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_191886]) ).

tcf(c_201256,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_15 )
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_15)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_185083]) ).

tcf(c_201257,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_12 )
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_12)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_185128]) ).

tcf(c_201258,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_14 )
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_14)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_185141]) ).

tcf(c_201259,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(X1)) = sK0(iPr_def_19,X0) )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_183830]) ).

tcf(c_201300,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_19)
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_201159,c_665]) ).

tcf(c_201303,plain,
    ( ( iPr_def_12 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),iPr_def_19) = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_201243,c_665]) ).

tcf(c_201326,plain,
    ( ( iPr_def_12 = iPr_def_15 )
    | ( sK0(s(iPr_def_15),iPr_def_19) = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_201225,c_665]) ).

tcf(c_201371,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_19)
      | ( sK0(s(sK0(X0,iPr_def_19)),iPr_def_19) = sK0(X0,iPr_def_19) ) ),
    inference(light_normalisation,[status(thm)],[c_201200,c_665]) ).

tcf(c_201467,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_12 )
      | ( sK0(s(sK0(p(iPr_def_21),X0)),iPr_def_19) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(light_normalisation,[status(thm)],[c_201257,c_665]) ).

tcf(c_201681,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(s(iPr_def_12),iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_199145]) ).

tcf(c_201682,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_199145]) ).

tcf(c_201683,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_199145]) ).

tcf(c_201686,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_199145]) ).

tcf(c_201687,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_199145]) ).

tcf(c_201688,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_14 = iPr_def_16 )
    | ( iPr_def_12 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_199145]) ).

tcf(c_201689,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_191255,c_199145]) ).

tcf(c_201690,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_199145]) ).

tcf(c_201691,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_199145]) ).

tcf(c_201692,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_199145]) ).

tcf(c_201693,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_199145]) ).

tcf(c_201694,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_199145]) ).

tcf(c_201802,plain,
    ( subq(s(iPr_def_21),p(e))
    | ~ mem(iPr_def_21,p(e)) ),
    inference(superposition,[status(thm)],[c_201212,c_49]) ).

tcf(c_201803,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(e)) ),
    inference(superposition,[status(thm)],[c_201212,c_50]) ).

tcf(c_201823,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(p(e),X0))
      | ~ mem(iPr_def_16,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_201133,c_49]) ).

tcf(c_201825,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_201133,c_187918]) ).

tcf(c_201835,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_12 = iPr_def_13 )
    | ~ mem(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_187230,c_49]) ).

tcf(c_201837,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_14)
    | subq(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187230,c_187457]) ).

tcf(c_201851,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_201240,c_52]) ).

tcf(c_201854,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_21 )
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_21)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_201240,c_181359]) ).

tcf(c_201855,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_184804]) ).

tcf(c_201856,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_184712]) ).

tcf(c_201857,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_184534]) ).

tcf(c_201858,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_183356]) ).

tcf(c_201859,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_181843]) ).

tcf(c_201860,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_181840]) ).

tcf(c_201861,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_181422]) ).

tcf(c_201862,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_181661]) ).

tcf(c_201864,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_21 )
      | ( sK0(s(X0),iPr_def_21) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201240,c_181560]) ).

tcf(c_201869,plain,
    ( subq(iPr_def_21,iPr_def_21)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_201240,c_180963]) ).

tcf(c_201870,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201240,c_181362]) ).

tcf(c_201961,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_201855,c_52]) ).

tcf(c_201964,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201855,c_186343]) ).

tcf(c_201965,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201855,c_186324]) ).

tcf(c_201966,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201855,c_186305]) ).

tcf(c_201968,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_14),X0)
      | ( sK0(p(iPr_def_14),X0) = iPr_def_14 )
      | ( sK0(s(sK0(p(iPr_def_14),X0)),p(iPr_def_21)) = sK0(p(iPr_def_14),X0) )
      | ~ atleast3p(sK0(p(iPr_def_14),X0)) ),
    inference(superposition,[status(thm)],[c_201855,c_181359]) ).

tcf(c_201969,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( sK0(s(X0),iPr_def_14) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201855,c_181560]) ).

tcf(c_202038,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_201856,c_52]) ).

tcf(c_202041,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_195726]) ).

tcf(c_202042,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_192536]) ).

tcf(c_202043,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_192462]) ).

tcf(c_202044,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_192427]) ).

tcf(c_202045,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_192392]) ).

tcf(c_202046,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_186629]) ).

tcf(c_202047,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_186418]) ).

tcf(c_202048,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_186373]) ).

tcf(c_202049,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_187372]) ).

tcf(c_202050,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_186666]) ).

tcf(c_202053,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(s(sK0(p(iPr_def_12),X0)),p(iPr_def_21)) = sK0(p(iPr_def_12),X0) )
      | ~ atleast3p(sK0(p(iPr_def_12),X0)) ),
    inference(superposition,[status(thm)],[c_201856,c_181359]) ).

tcf(c_202114,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(light_normalisation,[status(thm)],[c_202053,c_665]) ).

tcf(c_202127,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201857,c_52]) ).

tcf(c_202130,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_15),X0)
      | ( sK0(p(iPr_def_15),X0) = iPr_def_15 )
      | ( sK0(s(sK0(p(iPr_def_15),X0)),p(iPr_def_21)) = sK0(p(iPr_def_15),X0) )
      | ~ atleast3p(sK0(p(iPr_def_15),X0)) ),
    inference(superposition,[status(thm)],[c_201857,c_181359]) ).

tcf(c_202132,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_182657]) ).

tcf(c_202133,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_182420]) ).

tcf(c_202134,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_182362]) ).

tcf(c_202136,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_15 )
      | ( sK0(s(X0),iPr_def_15) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201857,c_181560]) ).

tcf(c_202139,plain,
    ( subq(iPr_def_21,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201857,c_180963]) ).

tcf(c_202140,plain,
    ( subq(iPr_def_21,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_202139,c_183066]) ).

tcf(c_202176,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_201858,c_51]) ).

tcf(c_202178,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201858,c_55]) ).

tcf(c_202179,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(s(u(X0,X1)),p(iPr_def_21)) = u(X0,X1) )
      | ~ atleast3p(u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201858,c_58]) ).

tcf(c_202180,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201858,c_61]) ).

tcf(c_202181,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201858,c_60]) ).

tcf(c_202182,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0)) ),
    inference(superposition,[status(thm)],[c_201858,c_63]) ).

tcf(c_202183,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201858,c_181002]) ).

tcf(c_202185,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201858,c_181021]) ).

tcf(c_202208,plain,
    ( subq(iPr_def_12,iPr_def_19)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201858,c_194352]) ).

tcf(c_202209,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201858,c_194975]) ).

tcf(c_202210,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(e,X0))
      | ( sK0(s(m(e,X0)),p(iPr_def_21)) = m(e,X0) )
      | ~ atleast3p(m(e,X0)) ),
    inference(superposition,[status(thm)],[c_201858,c_194806]) ).

tcf(c_202213,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_202183,c_666]) ).

tcf(c_202290,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_201859,c_51]) ).

tcf(c_202292,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201859,c_55]) ).

tcf(c_202293,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | mem(iPr_def_16,X0)
      | ( sK0(s(u(X0,X1)),p(iPr_def_21)) = u(X0,X1) )
      | ~ atleast3p(u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201859,c_58]) ).

tcf(c_202294,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201859,c_61]) ).

tcf(c_202295,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201859,c_60]) ).

tcf(c_202296,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0)) ),
    inference(superposition,[status(thm)],[c_201859,c_63]) ).

tcf(c_202297,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201859,c_181002]) ).

tcf(c_202298,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201859,c_183361]) ).

tcf(c_202299,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201859,c_181021]) ).

tcf(c_202316,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_201859,c_183534]) ).

tcf(c_202317,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_12)
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201859,c_181400]) ).

tcf(c_202322,plain,
    ( ( sK0(s(p(e)),p(iPr_def_21)) = p(e) )
    | ~ atleast3p(p(e)) ),
    inference(superposition,[status(thm)],[c_201859,c_201128]) ).

tcf(c_202323,plain,
    ( subq(iPr_def_17,iPr_def_10)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201859,c_185546]) ).

tcf(c_202326,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(e,X0))
      | ( sK0(s(m(e,X0)),p(iPr_def_21)) = m(e,X0) )
      | ~ atleast3p(m(e,X0)) ),
    inference(superposition,[status(thm)],[c_201859,c_194295]) ).

tcf(c_202427,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_201860,c_51]) ).

tcf(c_202429,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201860,c_55]) ).

tcf(c_202430,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | mem(iPr_def_19,X0)
      | ( sK0(s(u(X0,X1)),p(iPr_def_21)) = u(X0,X1) )
      | ~ atleast3p(u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201860,c_58]) ).

tcf(c_202431,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201860,c_61]) ).

tcf(c_202432,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201860,c_60]) ).

tcf(c_202433,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0)) ),
    inference(superposition,[status(thm)],[c_201860,c_63]) ).

tcf(c_202434,plain,
    ( subq(iPr_def_19,iPr_def_12)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201860,c_181002]) ).

tcf(c_202435,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201860,c_183361]) ).

tcf(c_202436,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201860,c_181021]) ).

tcf(c_202453,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_201860,c_183534]) ).

tcf(c_202454,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201860,c_181400]) ).

tcf(c_202459,plain,
    ( subq(iPr_def_20,iPr_def_10)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201860,c_187902]) ).

tcf(c_202462,plain,
    ( subq(iPr_def_20,iPr_def_19)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201860,c_191732]) ).

tcf(c_202463,plain,
    ( ( sK0(s(p(iPr_def_16)),p(iPr_def_21)) = p(iPr_def_16) )
    | ~ atleast3p(p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_201860,c_192574]) ).

tcf(c_202464,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X0))
      | ( sK0(s(m(iPr_def_19,X0)),p(iPr_def_21)) = m(iPr_def_19,X0) )
      | ~ atleast3p(m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_201860,c_194799]) ).

tcf(c_202465,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(e,X0))
      | ( sK0(s(m(e,X0)),p(iPr_def_21)) = m(e,X0) )
      | ~ atleast3p(m(e,X0)) ),
    inference(superposition,[status(thm)],[c_201860,c_194581]) ).

tcf(c_202471,plain,
    ( subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_202434,c_666]) ).

tcf(c_202514,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_201861,c_51]) ).

tcf(c_202516,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201861,c_55]) ).

tcf(c_202517,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(s(u(X0,X1)),p(iPr_def_21)) = u(X0,X1) )
      | ~ atleast3p(u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201861,c_58]) ).

tcf(c_202518,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201861,c_61]) ).

tcf(c_202519,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201861,c_60]) ).

tcf(c_202520,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0)) ),
    inference(superposition,[status(thm)],[c_201861,c_63]) ).

tcf(c_202521,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201861,c_181002]) ).

tcf(c_202522,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201861,c_183361]) ).

tcf(c_202523,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201861,c_181021]) ).

tcf(c_202540,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_201861,c_183534]) ).

tcf(c_202541,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201861,c_181400]) ).

tcf(c_202546,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201861,c_181263]) ).

tcf(c_202548,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201861,c_190801]) ).

tcf(c_202557,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(e,X0))
      | ( sK0(s(m(e,X0)),p(iPr_def_21)) = m(e,X0) )
      | ~ atleast3p(m(e,X0)) ),
    inference(superposition,[status(thm)],[c_201861,c_194099]) ).

tcf(c_202560,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_202521,c_666]) ).

tcf(c_202596,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_192100,c_191870,c_198910]) ).

tcf(c_202604,plain,
    ( ( s(iPr_def_13) = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193293,c_202596]) ).

tcf(c_202608,plain,
    ( ( s(iPr_def_16) = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192554,c_202596]) ).

tcf(c_202611,plain,
    ( ( s(iPr_def_10) = iPr_def_16 )
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_202596]) ).

tcf(c_202612,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_16)
      | ( s(X0) = iPr_def_16 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_202596,c_49]) ).

tcf(c_202614,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_202611,c_183366]) ).

tcf(c_202617,plain,
    ( ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_17,iPr_def_16) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_202608,c_192554]) ).

tcf(c_202620,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_202604,c_193293]) ).

tcf(c_202630,plain,
    ( atleast3p(p(e))
    | subq(p(e),s(iPr_def_21))
    | ~ atleast2p(s(iPr_def_21))
    | ~ mem(iPr_def_21,p(e)) ),
    inference(superposition,[status(thm)],[c_201802,c_65]) ).

tcf(c_202631,plain,
    ( ( s(iPr_def_21) = p(e) )
    | ~ mem(iPr_def_21,p(e))
    | ~ subq(p(e),s(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201802,c_52]) ).

tcf(c_202646,plain,
    ( subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(s(iPr_def_13),iPr_def_12) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_200404]) ).

tcf(c_202648,plain,
    ( subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_200404]) ).

tcf(c_202651,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191970,c_200404]) ).

tcf(c_202652,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_14,iPr_def_12)
    | ( iPr_def_10 = iPr_def_13 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183623,c_200404]) ).

tcf(c_202670,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ( sK0(s(iPr_def_19),iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_200634]) ).

tcf(c_202672,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_200634]) ).

tcf(c_202673,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | ( iPr_def_12 = iPr_def_20 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_200634]) ).

tcf(c_202676,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_200462,c_200634]) ).

tcf(c_202677,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192373,c_200634]) ).

tcf(c_202678,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191937,c_200634]) ).

tcf(c_202679,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_200634]) ).

tcf(c_202680,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_200634]) ).

tcf(c_202681,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( iPr_def_12 = iPr_def_20 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_200634]) ).

tcf(c_202682,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_10,iPr_def_19)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_12 = iPr_def_20 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_200634]) ).

tcf(c_202683,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_13 = iPr_def_19 )
    | ( iPr_def_12 = iPr_def_20 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_200634]) ).

tcf(c_202768,plain,
    ( subq(iPr_def_14,iPr_def_16)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(s(iPr_def_13),iPr_def_16) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_200694]) ).

tcf(c_202778,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_12 = iPr_def_16 )
    | ~ mem(iPr_def_12,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_187234,c_49]) ).

tcf(c_202780,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,iPr_def_17)
    | subq(iPr_def_12,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187234,c_187457]) ).

tcf(c_202801,plain,
    ( subq(iPr_def_17,iPr_def_12)
    | ( iPr_def_10 = iPr_def_16 )
    | ~ mem(iPr_def_16,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187552,c_49]) ).

tcf(c_202803,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,iPr_def_12)
    | subq(iPr_def_16,iPr_def_16)
    | ( iPr_def_10 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187552,c_187918]) ).

tcf(c_202813,plain,
    ( subq(iPr_def_17,iPr_def_14)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ mem(iPr_def_16,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_187557,c_49]) ).

tcf(c_202815,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,iPr_def_14)
    | subq(iPr_def_16,iPr_def_16)
    | ( iPr_def_13 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187557,c_187918]) ).

tcf(c_202827,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_201862,c_51]) ).

tcf(c_202829,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201862,c_55]) ).

tcf(c_202830,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | mem(iPr_def_13,X0)
      | ( sK0(s(u(X0,X1)),p(iPr_def_21)) = u(X0,X1) )
      | ~ atleast3p(u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201862,c_58]) ).

tcf(c_202831,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201862,c_61]) ).

tcf(c_202832,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_201862,c_60]) ).

tcf(c_202833,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,X0)
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0)) ),
    inference(superposition,[status(thm)],[c_201862,c_63]) ).

tcf(c_202834,plain,
    ( subq(iPr_def_13,iPr_def_12)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201862,c_181002]) ).

tcf(c_202835,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201862,c_183361]) ).

tcf(c_202836,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201862,c_181021]) ).

tcf(c_202853,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | mem(iPr_def_13,iPr_def_10)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_201862,c_183534]) ).

tcf(c_202860,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_201862,c_190646]) ).

tcf(c_202863,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201862,c_190123]) ).

tcf(c_202864,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(e,X0))
      | ( sK0(s(m(e,X0)),p(iPr_def_21)) = m(e,X0) )
      | ~ atleast3p(m(e,X0)) ),
    inference(superposition,[status(thm)],[c_201862,c_193721]) ).

tcf(c_202915,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_201851,c_198897]) ).

tcf(c_202925,plain,
    ( ( iPr_def_13 = iPr_def_21 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_202915]) ).

tcf(c_202940,plain,
    sK0(iPr_def_20,p(e)) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_192244,c_69,c_1665,c_67052]) ).

tcf(c_202942,plain,
    ( subq(iPr_def_20,p(e))
    | ~ mem(iPr_def_19,p(e)) ),
    inference(superposition,[status(thm)],[c_202940,c_49]) ).

tcf(c_202944,plain,
    ( subq(iPr_def_20,p(e))
    | ~ subq(iPr_def_19,e) ),
    inference(superposition,[status(thm)],[c_202940,c_181012]) ).

tcf(c_202945,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(e)) ),
    inference(superposition,[status(thm)],[c_202940,c_188300]) ).

tcf(c_202951,plain,
    ~ mem(iPr_def_19,p(e)),
    inference(global_subsumption_just,[status(thm)],[c_202942,c_69,c_1665,c_14297]) ).

tcf(c_202953,plain,
    sK0(s(iPr_def_19),p(e)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_182860,c_202951]) ).

tcf(c_202954,plain,
    ~ subq(iPr_def_19,e),
    inference(superposition,[status(thm)],[c_62,c_202951]) ).

tcf(c_202957,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(e),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187681,c_202951]) ).

tcf(c_202965,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(e),X0))
      | ~ mem(iPr_def_19,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_202957,c_49]) ).

tcf(c_202967,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_202957,c_188300]) ).

tcf(c_202975,plain,
    ( subq(iPr_def_17,iPr_def_16)
    | ( iPr_def_12 = iPr_def_16 )
    | ~ mem(iPr_def_16,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187560,c_49]) ).

tcf(c_202977,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,iPr_def_16)
    | subq(iPr_def_16,iPr_def_16)
    | ( iPr_def_12 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187560,c_187918]) ).

tcf(c_202987,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ mem(iPr_def_19,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187686,c_49]) ).

tcf(c_202989,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_12)
    | subq(iPr_def_19,iPr_def_19)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187686,c_188300]) ).

tcf(c_203018,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | ( X0 = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_202546,c_52]) ).

tcf(c_203019,plain,
    ! [X0: $i] :
      ( subq(X0,p(iPr_def_19))
      | atleast2p(sK0(X0,p(iPr_def_19)))
      | ( sK0(s(sK0(X0,p(iPr_def_19))),p(iPr_def_21)) = sK0(X0,p(iPr_def_19)) )
      | ~ atleast3p(sK0(X0,p(iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_202546,c_181012]) ).

tcf(c_203020,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_181284]) ).

tcf(c_203078,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_21)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_183354]) ).

tcf(c_203079,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_21)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_182688]) ).

tcf(c_203080,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_21)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_182464]) ).

tcf(c_203082,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | subq(p(iPr_def_21),X0)
      | atleast2p(sK0(p(iPr_def_21),X0))
      | ( sK0(s(sK0(p(iPr_def_21),X0)),p(iPr_def_21)) = sK0(p(iPr_def_21),X0) )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_181997]) ).

tcf(c_203146,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(s(p(iPr_def_12)),p(iPr_def_21)) = p(iPr_def_12) )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_202182]) ).

tcf(c_203155,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( sK0(s(p(iPr_def_12)),p(iPr_def_21)) = p(iPr_def_12) )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_202296]) ).

tcf(c_203165,plain,
    ( subq(iPr_def_19,iPr_def_12)
    | ( sK0(s(p(iPr_def_12)),p(iPr_def_21)) = p(iPr_def_12) )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_202433]) ).

tcf(c_203174,plain,
    ( ( s(e) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_10)) = iPr_def_19 )
    | ( sK0(s(e),iPr_def_19) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_192249]) ).

tcf(c_203175,plain,
    ( ( s(iPr_def_13) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_14)) = iPr_def_19 )
    | ( sK0(s(iPr_def_13),iPr_def_19) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193293,c_192249]) ).

tcf(c_203179,plain,
    ( ( s(iPr_def_16) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_17)) = iPr_def_19 )
    | ( sK0(s(iPr_def_16),iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192554,c_192249]) ).

tcf(c_203181,plain,
    ( ( s(iPr_def_19) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_20)) = iPr_def_19 )
    | ( sK0(s(iPr_def_19),iPr_def_19) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_192249]) ).

tcf(c_203182,plain,
    ( ( s(iPr_def_10) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
    | ( sK0(s(iPr_def_10),iPr_def_19) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_192249]) ).

tcf(c_203183,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ~ mem(iPr_def_19,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_192249,c_49]) ).

tcf(c_203185,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_192249,c_181012]) ).

tcf(c_203186,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(s(X0)))
      | ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(superposition,[status(thm)],[c_192249,c_188300]) ).

tcf(c_203190,plain,
    ( ( iPr_def_17 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(iPr_def_17)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_203179,c_192554]) ).

tcf(c_203195,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_10,iPr_def_19) = e )
    | ( sK0(iPr_def_20,p(iPr_def_10)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_203174,c_656]) ).

tcf(c_203213,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(s(iPr_def_12),iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_200935]) ).

tcf(c_203215,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_200935]) ).

tcf(c_203223,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191953,c_200935]) ).

tcf(c_203226,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_200935]) ).

tcf(c_203264,plain,
    ( subq(iPr_def_17,iPr_def_12)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(s(iPr_def_16),iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_202801]) ).

tcf(c_203266,plain,
    ( subq(iPr_def_17,iPr_def_12)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_202801]) ).

tcf(c_203270,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | subq(iPr_def_17,iPr_def_12)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191915,c_202801]) ).

tcf(c_203273,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_17,iPr_def_12)
    | ( iPr_def_10 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187364,c_202801]) ).

tcf(c_203290,plain,
    ( subq(iPr_def_20,iPr_def_14)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ mem(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_187691,c_49]) ).

tcf(c_203292,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,iPr_def_14)
    | subq(iPr_def_19,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187691,c_188300]) ).

tcf(c_203305,plain,
    ( atleast3p(iPr_def_10)
    | atleast2p(iPr_def_20)
    | atleast2p(iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | subq(iPr_def_10,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188460,c_65]) ).

tcf(c_203306,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( iPr_def_10 = iPr_def_16 )
    | ~ subq(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188460,c_52]) ).

tcf(c_203307,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_10)
    | mem(iPr_def_10,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188460,c_183780]) ).

tcf(c_203308,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_17)
    | mem(iPr_def_12,iPr_def_10)
    | mem(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188460,c_181291]) ).

tcf(c_203337,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(s(p(iPr_def_12)),p(iPr_def_21)) = p(iPr_def_12) )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_202520]) ).

tcf(c_203347,plain,
    ( subq(iPr_def_13,iPr_def_12)
    | ( sK0(s(p(iPr_def_12)),p(iPr_def_21)) = p(iPr_def_12) )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_665,c_202833]) ).

tcf(c_203357,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(X1)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202176]) ).

tcf(c_203358,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | mem(iPr_def_10,p(X0))
      | ( sK0(s(X1),p(iPr_def_21)) = X1 )
      | ~ atleast3p(X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_64,c_202176]) ).

tcf(c_203360,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(p(X0),X1)
      | ( sK0(s(sK0(p(X0),X1)),p(iPr_def_21)) = sK0(p(X0),X1) )
      | ~ atleast3p(sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_202176]) ).

tcf(c_203362,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_202176]) ).

tcf(c_203363,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_202176]) ).

tcf(c_203365,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202176]) ).

tcf(c_203366,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_202176]) ).

tcf(c_203376,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_202176]) ).

tcf(c_203377,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_202546,c_202176]) ).

tcf(c_203378,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_185490,c_202176]) ).

tcf(c_203380,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_202176]) ).

tcf(c_203388,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(p(X0))
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185359,c_202176]) ).

tcf(c_203401,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_202176]) ).

tcf(c_203402,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190695,c_202176]) ).

tcf(c_203410,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_10,sK0(iPr_def_20,X0))
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188300,c_202176]) ).

tcf(c_203416,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_202176]) ).

tcf(c_203418,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | mem(iPr_def_10,sK0(iPr_def_12,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190419,c_202176]) ).

tcf(c_203422,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_202176]) ).

tcf(c_203426,plain,
    ( mem(iPr_def_10,p(e))
    | ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,p(e)) ),
    inference(superposition,[status(thm)],[c_201802,c_202176]) ).

tcf(c_203431,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_203402,c_183366]) ).

tcf(c_203440,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_203365,c_183366]) ).

tcf(c_203445,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_203363,c_666]) ).

tcf(c_203455,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(light_normalisation,[status(thm)],[c_203401,c_193293]) ).

tcf(c_203479,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203380,c_183066]) ).

tcf(c_203500,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203416,c_183066]) ).

tcf(c_203589,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(s(s(e)),p(iPr_def_21)) = s(e) )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_202178]) ).

tcf(c_203607,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(X1)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202290]) ).

tcf(c_203608,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | mem(iPr_def_16,p(X0))
      | ( sK0(s(X1),p(iPr_def_21)) = X1 )
      | ~ atleast3p(X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_64,c_202290]) ).

tcf(c_203610,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(p(X0),X1)
      | ( sK0(s(sK0(p(X0),X1)),p(iPr_def_21)) = sK0(p(X0),X1) )
      | ~ atleast3p(sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_202290]) ).

tcf(c_203612,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_202290]) ).

tcf(c_203613,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_202290]) ).

tcf(c_203614,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_181054,c_202290]) ).

tcf(c_203615,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202290]) ).

tcf(c_203616,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_202290]) ).

tcf(c_203626,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_202290]) ).

tcf(c_203627,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_202546,c_202290]) ).

tcf(c_203628,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_185490,c_202290]) ).

tcf(c_203630,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_202290]) ).

tcf(c_203631,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_202290]) ).

tcf(c_203638,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(p(X0))
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185359,c_202290]) ).

tcf(c_203651,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_202290]) ).

tcf(c_203652,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190695,c_202290]) ).

tcf(c_203654,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,iPr_def_13)
    | mem(iPr_def_13,iPr_def_18)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188309,c_202290]) ).

tcf(c_203657,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_16,sK0(iPr_def_14,X0))
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_202290]) ).

tcf(c_203660,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_16,sK0(iPr_def_20,X0))
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188300,c_202290]) ).

tcf(c_203662,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_202290]) ).

tcf(c_203666,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_202290]) ).

tcf(c_203668,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | mem(iPr_def_16,sK0(iPr_def_12,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190419,c_202290]) ).

tcf(c_203669,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_202290]) ).

tcf(c_203671,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_202290]) ).

tcf(c_203672,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_202290]) ).

tcf(c_203676,plain,
    ( mem(iPr_def_16,p(e))
    | ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,p(e)) ),
    inference(superposition,[status(thm)],[c_201802,c_202290]) ).

tcf(c_203681,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203662,c_183066]) ).

tcf(c_203686,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_203652,c_183366]) ).

tcf(c_203697,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_203615,c_183366]) ).

tcf(c_203702,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_203613,c_666]) ).

tcf(c_203717,plain,
    ( ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,p(e)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203676,c_201128]) ).

tcf(c_203725,plain,
    ( mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203671,c_183066]) ).

tcf(c_203744,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203630,c_183066]) ).

tcf(c_203765,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_203666,c_183066]) ).

tcf(c_203798,plain,
    sK0(iPr_def_12,p(e)) = iPr_def_10,
    inference(global_subsumption_just,[status(thm)],[c_192646,c_69,c_1671,c_190025]) ).

tcf(c_203800,plain,
    ( subq(iPr_def_12,p(e))
    | ~ mem(iPr_def_10,p(e)) ),
    inference(superposition,[status(thm)],[c_203798,c_49]) ).

tcf(c_203802,plain,
    ( subq(iPr_def_12,p(e))
    | ~ subq(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_203798,c_181012]) ).

tcf(c_203803,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10)
    | subq(iPr_def_12,p(e)) ),
    inference(superposition,[status(thm)],[c_203798,c_190419]) ).

tcf(c_203807,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(e))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_203798,c_183665]) ).

tcf(c_203853,plain,
    ~ mem(iPr_def_10,p(e)),
    inference(global_subsumption_just,[status(thm)],[c_203800,c_69,c_1671,c_14642]) ).

tcf(c_203855,plain,
    sK0(s(iPr_def_10),p(e)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_182860,c_203853]) ).

tcf(c_203856,plain,
    ~ subq(iPr_def_10,e),
    inference(superposition,[status(thm)],[c_62,c_203853]) ).

tcf(c_203858,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(p(e),X0)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_189954,c_203853]) ).

tcf(c_203883,plain,
    ( subq(iPr_def_17,iPr_def_14)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(s(iPr_def_16),iPr_def_14) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_202813]) ).

tcf(c_203887,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_17,iPr_def_14)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_202813]) ).

tcf(c_203889,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_17,iPr_def_14)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186066,c_202813]) ).

tcf(c_203906,plain,
    ( subq(iPr_def_17,iPr_def_16)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(s(iPr_def_16),iPr_def_16) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_202975]) ).

tcf(c_203910,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | subq(iPr_def_17,iPr_def_16)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_202975]) ).

tcf(c_203919,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(p(e),X0))
      | ~ mem(iPr_def_10,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_203858,c_49]) ).

tcf(c_203921,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(p(e),X0)) ),
    inference(superposition,[status(thm)],[c_203858,c_190419]) ).

tcf(c_203925,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(e),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_203858,c_183665]) ).

tcf(c_203936,plain,
    ( subq(iPr_def_12,iPr_def_14)
    | ( iPr_def_10 = iPr_def_13 )
    | ~ mem(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_189964,c_49]) ).

tcf(c_203938,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_14)
    | subq(iPr_def_10,iPr_def_10)
    | ( iPr_def_10 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_189964,c_190419]) ).

tcf(c_203942,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_14)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_189964,c_183665]) ).

tcf(c_203954,plain,
    ( subq(iPr_def_12,iPr_def_16)
    | ( iPr_def_10 = iPr_def_12 )
    | ~ mem(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_189967,c_49]) ).

tcf(c_203956,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_16)
    | subq(iPr_def_10,iPr_def_10)
    | ( iPr_def_10 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_189967,c_190419]) ).

tcf(c_203960,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_189967,c_183665]) ).

tcf(c_203974,plain,
    ( ( e = iPr_def_16 )
    | ( sK0(s(s(e)),p(iPr_def_21)) = s(e) )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_202292]) ).

tcf(c_203992,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(X1)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202427]) ).

tcf(c_203993,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | mem(iPr_def_19,p(X0))
      | ( sK0(s(X1),p(iPr_def_21)) = X1 )
      | ~ atleast3p(X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_64,c_202427]) ).

tcf(c_203995,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(p(X0),X1)
      | ( sK0(s(sK0(p(X0),X1)),p(iPr_def_21)) = sK0(p(X0),X1) )
      | ~ atleast3p(sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_202427]) ).

tcf(c_203997,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_202427]) ).

tcf(c_203998,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_202427]) ).

tcf(c_203999,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_181054,c_202427]) ).

tcf(c_204000,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202427]) ).

tcf(c_204001,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_202427]) ).

tcf(c_204011,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_202427]) ).

tcf(c_204012,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_19,iPr_def_19)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_202546,c_202427]) ).

tcf(c_204013,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_19,iPr_def_19)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_185490,c_202427]) ).

tcf(c_204015,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_202427]) ).

tcf(c_204016,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_202427]) ).

tcf(c_204023,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(p(X0))
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185359,c_202427]) ).

tcf(c_204036,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_19)
    | mem(iPr_def_19,iPr_def_12)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_202427]) ).

tcf(c_204037,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_19)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190695,c_202427]) ).

tcf(c_204039,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_13)
    | mem(iPr_def_13,iPr_def_18)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188309,c_202427]) ).

tcf(c_204042,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_19,sK0(iPr_def_14,X0))
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_202427]) ).

tcf(c_204045,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_19,sK0(iPr_def_20,X0))
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188300,c_202427]) ).

tcf(c_204047,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_202427]) ).

tcf(c_204051,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_202427]) ).

tcf(c_204053,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | mem(iPr_def_19,sK0(iPr_def_12,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190419,c_202427]) ).

tcf(c_204054,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_202427]) ).

tcf(c_204056,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_202427]) ).

tcf(c_204057,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_202427]) ).

tcf(c_204066,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204047,c_183066]) ).

tcf(c_204071,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204037,c_183366]) ).

tcf(c_204082,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204000,c_183366]) ).

tcf(c_204087,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_203998,c_666]) ).

tcf(c_204106,plain,
    ( mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204056,c_183066]) ).

tcf(c_204125,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204015,c_183066]) ).

tcf(c_204146,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204051,c_183066]) ).

tcf(c_204222,plain,
    ( ( e = iPr_def_19 )
    | ( sK0(s(s(e)),p(iPr_def_21)) = s(e) )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_202429]) ).

tcf(c_204240,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(X1)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202514]) ).

tcf(c_204241,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | mem(iPr_def_12,p(X0))
      | ( sK0(s(X1),p(iPr_def_21)) = X1 )
      | ~ atleast3p(X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_64,c_202514]) ).

tcf(c_204243,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(p(X0),X1)
      | ( sK0(s(sK0(p(X0),X1)),p(iPr_def_21)) = sK0(p(X0),X1) )
      | ~ atleast3p(sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_202514]) ).

tcf(c_204245,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_202514]) ).

tcf(c_204247,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_181054,c_202514]) ).

tcf(c_204248,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202514]) ).

tcf(c_204249,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_202514]) ).

tcf(c_204259,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_202514]) ).

tcf(c_204263,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_202514]) ).

tcf(c_204264,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_202514]) ).

tcf(c_204290,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_12,sK0(iPr_def_14,X0))
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_202514]) ).

tcf(c_204295,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_202514]) ).

tcf(c_204299,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_202514]) ).

tcf(c_204301,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | mem(iPr_def_12,sK0(iPr_def_12,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190419,c_202514]) ).

tcf(c_204302,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_202514]) ).

tcf(c_204304,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_202514]) ).

tcf(c_204305,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_202514]) ).

tcf(c_204310,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204295,c_183066]) ).

tcf(c_204318,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204248,c_183366]) ).

tcf(c_204336,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204304,c_183066]) ).

tcf(c_204350,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204263,c_183066]) ).

tcf(c_204365,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204299,c_183066]) ).

tcf(c_204443,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(s(s(e)),p(iPr_def_21)) = s(e) )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_202516]) ).

tcf(c_204461,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(X1)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202827]) ).

tcf(c_204462,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X1)
      | mem(iPr_def_13,p(X0))
      | ( sK0(s(X1),p(iPr_def_21)) = X1 )
      | ~ atleast3p(X1)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_64,c_202827]) ).

tcf(c_204464,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(p(X0),X1)
      | ( sK0(s(sK0(p(X0),X1)),p(iPr_def_21)) = sK0(p(X0),X1) )
      | ~ atleast3p(sK0(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_181000,c_202827]) ).

tcf(c_204466,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_202827]) ).

tcf(c_204467,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_202827]) ).

tcf(c_204468,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_181054,c_202827]) ).

tcf(c_204469,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202827]) ).

tcf(c_204470,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181063,c_202827]) ).

tcf(c_204480,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201857,c_202827]) ).

tcf(c_204481,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_202546,c_202827]) ).

tcf(c_204482,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_185490,c_202827]) ).

tcf(c_204484,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_202827]) ).

tcf(c_204485,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_202827]) ).

tcf(c_204492,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(p(X0))
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185359,c_202827]) ).

tcf(c_204505,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_202827]) ).

tcf(c_204506,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190695,c_202827]) ).

tcf(c_204508,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_13)
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188309,c_202827]) ).

tcf(c_204511,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_13,sK0(iPr_def_14,X0))
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_202827]) ).

tcf(c_204514,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_13,sK0(iPr_def_20,X0))
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188300,c_202827]) ).

tcf(c_204520,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_202827]) ).

tcf(c_204522,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | mem(iPr_def_13,sK0(iPr_def_12,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_190419,c_202827]) ).

tcf(c_204523,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191776,c_202827]) ).

tcf(c_204525,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_202827]) ).

tcf(c_204526,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_184999,c_202827]) ).

tcf(c_204536,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204506,c_183366]) ).

tcf(c_204547,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204469,c_183366]) ).

tcf(c_204552,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_204467,c_666]) ).

tcf(c_204571,plain,
    ( mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204525,c_183066]) ).

tcf(c_204590,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204484,c_183066]) ).

tcf(c_204611,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204520,c_183066]) ).

tcf(c_204644,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( sK0(s(X0),iPr_def_10) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_192650,c_190064,c_198900]) ).

tcf(c_204659,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_10)
      | ( s(X0) = iPr_def_10 )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_204644,c_49]) ).

tcf(c_204674,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_197299,c_198359]) ).

tcf(c_204690,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(s(iPr_def_19),iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_202987]) ).

tcf(c_204692,plain,
    ( subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_202987]) ).

tcf(c_204696,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_200462,c_202987]) ).

tcf(c_204697,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192373,c_202987]) ).

tcf(c_204698,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191937,c_202987]) ).

tcf(c_204700,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_202987]) ).

tcf(c_204702,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_10,iPr_def_19)
    | subq(iPr_def_20,iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_202987]) ).

tcf(c_204738,plain,
    ( subq(iPr_def_20,iPr_def_14)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(s(iPr_def_19),iPr_def_14) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_203290]) ).

tcf(c_204742,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,iPr_def_14)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,iPr_def_14) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_203290]) ).

tcf(c_204744,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,iPr_def_14)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186065,c_203290]) ).

tcf(c_204759,plain,
    ( subq(iPr_def_12,iPr_def_17)
    | ( iPr_def_10 = iPr_def_16 )
    | ~ mem(iPr_def_10,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189970,c_49]) ).

tcf(c_204761,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_17)
    | subq(iPr_def_10,iPr_def_10)
    | ( iPr_def_10 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_189970,c_190419]) ).

tcf(c_204765,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_17)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_189970,c_183665]) ).

tcf(c_204777,plain,
    ( subq(iPr_def_12,iPr_def_20)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ mem(iPr_def_10,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_189973,c_49]) ).

tcf(c_204779,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_20)
    | subq(iPr_def_10,iPr_def_10)
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_189973,c_190419]) ).

tcf(c_204783,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_189973,c_183665]) ).

tcf(c_204811,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,X1)
      | subq(iPr_def_14,X0)
      | ~ subq(sK0(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_191493,c_51]) ).

tcf(c_204846,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(e,X1)
      | subq(iPr_def_14,X0)
      | ~ subq(sK0(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_191494,c_51]) ).

tcf(c_204858,plain,
    ( ( e = iPr_def_13 )
    | ( sK0(s(s(e)),p(iPr_def_21)) = s(e) )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_202829]) ).

tcf(c_204876,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(iPr_def_14)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_201961]) ).

tcf(c_204881,plain,
    ( ( iPr_def_14 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_14)) = iPr_def_19 )
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_201961]) ).

tcf(c_204882,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_12,p(iPr_def_14)) = iPr_def_10 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_201961]) ).

tcf(c_204896,plain,
    ( ( iPr_def_13 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_201961]) ).

tcf(c_204899,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_12,p(iPr_def_14)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204882,c_183366]) ).

tcf(c_204904,plain,
    ( ( iPr_def_14 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_14)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_204881,c_666]) ).

tcf(c_204921,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(iPr_def_12)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202038]) ).

tcf(c_204926,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_202038]) ).

tcf(c_204928,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_12,p(iPr_def_12)) = iPr_def_10 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202038]) ).

tcf(c_204942,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_202038]) ).

tcf(c_204948,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(light_normalisation,[status(thm)],[c_204921,c_665]) ).

tcf(c_204961,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_15 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(iPr_def_15)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_202127]) ).

tcf(c_204966,plain,
    ( ( iPr_def_15 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_15)) = iPr_def_19 )
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_187682,c_202127]) ).

tcf(c_204967,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_12,p(iPr_def_15)) = iPr_def_10 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_202127]) ).

tcf(c_204980,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_201240,c_202127]) ).

tcf(c_204981,plain,
    ( ( iPr_def_13 = iPr_def_15 )
    | ( sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13 )
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_202127]) ).

tcf(c_204984,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_202127]) ).

tcf(c_204985,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204984,c_183066]) ).

tcf(c_204990,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_12,p(iPr_def_15)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_204967,c_183366]) ).

tcf(c_204995,plain,
    ( ( iPr_def_15 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_15)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_204966,c_666]) ).

tcf(c_205004,plain,
    ( ( iPr_def_15 = iPr_def_21 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_204980,c_183066]) ).

tcf(c_205060,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(s(X0),X1))
      | ( X0 = e )
      | ~ mem(e,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_193094,c_49]) ).

tcf(c_205070,plain,
    ! [X0: $i,X1: $i] : subq(m(X0,X1),X0),
    inference(superposition,[status(thm)],[c_181173,c_49]) ).

tcf(c_205071,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(X0,X2),X3)
      | mem(sK0(m(X0,X2),X3),X1)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181173,c_51]) ).

tcf(c_205072,plain,
    ! [X0: $i,X1: $i] : subq(m(e,X0),X1),
    inference(superposition,[status(thm)],[c_181173,c_53]) ).

tcf(c_205073,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(s(X0),X1),X2)
      | ( sK0(m(s(X0),X1),X2) = X0 ) ),
    inference(superposition,[status(thm)],[c_181173,c_55]) ).

tcf(c_205074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(u(X0,X1),X2),X3)
      | mem(sK0(m(u(X0,X1),X2),X3),X1)
      | mem(sK0(m(u(X0,X1),X2),X3),X0) ),
    inference(superposition,[status(thm)],[c_181173,c_58]) ).

tcf(c_205075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(m(X0,X1),X2),X3)
      | ~ mem(sK0(m(m(X0,X1),X2),X3),X1) ),
    inference(superposition,[status(thm)],[c_181173,c_61]) ).

tcf(c_205076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(m(X0,X1),X2),X3)
      | mem(sK0(m(m(X0,X1),X2),X3),X0) ),
    inference(superposition,[status(thm)],[c_181173,c_60]) ).

tcf(c_205077,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(p(X0),X1),X2)
      | subq(sK0(m(p(X0),X1),X2),X0) ),
    inference(superposition,[status(thm)],[c_181173,c_63]) ).

tcf(c_205078,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_19,X0),X1)
      | subq(sK0(m(iPr_def_19,X0),X1),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181173,c_181002]) ).

tcf(c_205079,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_10,X0),X1)
      | mem(sK0(m(iPr_def_10,X0),X1),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_181173,c_183361]) ).

tcf(c_205080,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_10,X0),X1)
      | ( sK0(m(iPr_def_10,X0),X1) = e ) ),
    inference(superposition,[status(thm)],[c_181173,c_181021]) ).

tcf(c_205081,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(m(iPr_def_12,X0),X1)
      | subq(iPr_def_10,sK0(m(iPr_def_12,X0),X1)) ),
    inference(superposition,[status(thm)],[c_181173,c_190313]) ).

tcf(c_205082,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X0),X1)
      | ( sK0(m(iPr_def_12,X0),X1) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_181173,c_183362]) ).

tcf(c_205083,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X0),X1)
      | mem(sK0(m(iPr_def_12,X0),X1),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_181173,c_181149]) ).

tcf(c_205084,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X0),X1)
      | mem(sK0(m(iPr_def_12,X0),X1),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181173,c_181127]) ).

tcf(c_205085,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(m(iPr_def_14,X0),X1)
      | subq(iPr_def_13,sK0(m(iPr_def_14,X0),X1)) ),
    inference(superposition,[status(thm)],[c_181173,c_186900]) ).

tcf(c_205086,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_14,X0),X1)
      | mem(sK0(m(iPr_def_14,X0),X1),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181173,c_181150]) ).

tcf(c_205087,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_14,X0),X1)
      | ( sK0(m(iPr_def_14,X0),X1) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_181173,c_181023]) ).

tcf(c_205088,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(m(iPr_def_16,X0),X1)
      | subq(iPr_def_12,sK0(m(iPr_def_16,X0),X1)) ),
    inference(superposition,[status(thm)],[c_181173,c_187056]) ).

tcf(c_205089,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_16,X0),X1)
      | mem(sK0(m(iPr_def_16,X0),X1),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181173,c_181128]) ).

tcf(c_205090,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_16,X0),X1)
      | ( sK0(m(iPr_def_16,X0),X1) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_181173,c_181024]) ).

tcf(c_205091,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(m(iPr_def_17,X0),X1)
      | subq(iPr_def_16,sK0(m(iPr_def_17,X0),X1)) ),
    inference(superposition,[status(thm)],[c_181173,c_187496]) ).

tcf(c_205092,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_17,X0),X1)
      | mem(sK0(m(iPr_def_17,X0),X1),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181173,c_181151]) ).

tcf(c_205093,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_17,X0),X1)
      | ( sK0(m(iPr_def_17,X0),X1) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181173,c_181025]) ).

tcf(c_205094,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(m(iPr_def_20,X0),X1)
      | subq(iPr_def_19,sK0(m(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_181173,c_187975]) ).

tcf(c_205095,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_20,X0),X1)
      | mem(sK0(m(iPr_def_20,X0),X1),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181173,c_181152]) ).

tcf(c_205096,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_20,X0),X1)
      | ( sK0(m(iPr_def_20,X0),X1) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181173,c_181026]) ).

tcf(c_205097,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_13,X0),X1)
      | mem(sK0(m(iPr_def_13,X0),X1),iPr_def_12)
      | mem(sK0(m(iPr_def_13,X0),X1),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181173,c_183534]) ).

tcf(c_205098,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_15,X0),X1)
      | mem(sK0(m(iPr_def_15,X0),X1),iPr_def_14)
      | mem(sK0(m(iPr_def_15,X0),X1),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181173,c_181400]) ).

tcf(c_205099,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_15,X0),X1)
      | mem(sK0(m(iPr_def_15,X0),X1),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181173,c_181130]) ).

tcf(c_205100,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_18,X0),X1)
      | mem(sK0(m(iPr_def_18,X0),X1),iPr_def_17)
      | mem(sK0(m(iPr_def_18,X0),X1),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181173,c_181401]) ).

tcf(c_205101,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_18,X0),X1)
      | mem(sK0(m(iPr_def_18,X0),X1),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181173,c_181129]) ).

tcf(c_205102,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_21,X0),X1)
      | mem(sK0(m(iPr_def_21,X0),X1),iPr_def_20)
      | mem(sK0(m(iPr_def_21,X0),X1),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181173,c_181402]) ).

tcf(c_205212,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,m(X0,X1))
      | ~ atleast2p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_205070,c_65]) ).

tcf(c_205213,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(X0,X1) = X0 )
      | ~ subq(X0,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_205070,c_52]) ).

tcf(c_205214,plain,
    ! [X0: $i] : m(e,X0) = e,
    inference(superposition,[status(thm)],[c_205070,c_181358]) ).

tcf(c_205215,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_202038]) ).

tcf(c_205216,plain,
    ! [X0: $i] : mem(m(iPr_def_12,X0),iPr_def_19),
    inference(superposition,[status(thm)],[c_205070,c_180993]) ).

tcf(c_205217,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(s(X0),X1) = s(X0) )
      | ( sK0(s(X0),m(s(X0),X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_205070,c_181560]) ).

tcf(c_205218,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_14,X0) = iPr_def_14 )
      | ( sK0(s(m(iPr_def_14,X0)),p(iPr_def_21)) = m(iPr_def_14,X0) )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_201961]) ).

tcf(c_205219,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_180963]) ).

tcf(c_205220,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_21)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_202127]) ).

tcf(c_205265,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_205216,c_51]) ).

tcf(c_205266,plain,
    ! [X0: $i] : subq(m(iPr_def_12,X0),iPr_def_12),
    inference(superposition,[status(thm)],[c_205216,c_181002]) ).

tcf(c_205272,plain,
    subq(e,e),
    inference(superposition,[status(thm)],[c_205214,c_205070]) ).

tcf(c_205273,plain,
    ! [X0: $i,X1: $i] :
      ( mem(sK0(e,X1),e)
      | subq(m(e,X0),X1) ),
    inference(superposition,[status(thm)],[c_205214,c_181173]) ).

tcf(c_205274,plain,
    ! [X0: $i] :
      ( subq(e,X0)
      | mem(sK0(e,X0),e) ),
    inference(light_normalisation,[status(thm)],[c_205273,c_205214]) ).

tcf(c_205279,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_19,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_205265,c_51]) ).

tcf(c_205281,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_205265,c_55]) ).

tcf(c_205282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),X1)
      | mem(m(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_19,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_205265,c_58]) ).

tcf(c_205283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ mem(m(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_19,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_205265,c_61]) ).

tcf(c_205284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_19,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_205265,c_60]) ).

tcf(c_205285,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205265,c_63]) ).

tcf(c_205286,plain,
    ! [X0: $i] :
      ( subq(m(iPr_def_12,X0),iPr_def_12)
      | ~ subq(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_205265,c_181002]) ).

tcf(c_205287,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_13)
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_205265,c_183361]) ).

tcf(c_205288,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_205265,c_181021]) ).

tcf(c_205293,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_205265,c_186900]) ).

tcf(c_205294,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_15)
      | ~ subq(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_205265,c_181150]) ).

tcf(c_205295,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ~ subq(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_205265,c_181023]) ).

tcf(c_205299,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_205265,c_187496]) ).

tcf(c_205300,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_19,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_205265,c_181151]) ).

tcf(c_205301,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ~ subq(iPr_def_19,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_205265,c_181025]) ).

tcf(c_205302,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_205265,c_187975]) ).

tcf(c_205303,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_21)
      | ~ subq(iPr_def_19,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_205265,c_181152]) ).

tcf(c_205304,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_205265,c_181026]) ).

tcf(c_205305,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_12)
      | mem(m(iPr_def_12,X0),iPr_def_10)
      | ~ subq(iPr_def_19,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_205265,c_183534]) ).

tcf(c_205306,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_14)
      | mem(m(iPr_def_12,X0),iPr_def_12)
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_205265,c_181400]) ).

tcf(c_205307,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_21)
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_205265,c_181130]) ).

tcf(c_205308,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_17)
      | mem(m(iPr_def_12,X0),iPr_def_16)
      | ~ subq(iPr_def_19,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_205265,c_181401]) ).

tcf(c_205309,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_21)
      | ~ subq(iPr_def_19,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_205265,c_181129]) ).

tcf(c_205310,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_20)
      | mem(m(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_19,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_205265,c_181402]) ).

tcf(c_205428,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_202827]) ).

tcf(c_205429,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_202514]) ).

tcf(c_205430,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_202427]) ).

tcf(c_205431,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_202290]) ).

tcf(c_205432,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_202176]) ).

tcf(c_205434,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_205219,c_52]) ).

tcf(c_205435,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_184804]) ).

tcf(c_205436,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_184712]) ).

tcf(c_205437,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_184534]) ).

tcf(c_205438,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_183356]) ).

tcf(c_205439,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_181843]) ).

tcf(c_205440,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_181840]) ).

tcf(c_205441,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_181422]) ).

tcf(c_205442,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_181661]) ).

tcf(c_205459,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_205434,c_205070]) ).

tcf(c_205462,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_205432,c_183066]) ).

tcf(c_205466,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_205431,c_183066]) ).

tcf(c_205470,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_205430,c_183066]) ).

tcf(c_205474,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_205429,c_183066]) ).

tcf(c_205478,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_205428,c_183066]) ).

tcf(c_205492,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_205435,c_52]) ).

tcf(c_205493,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205435,c_186343]) ).

tcf(c_205494,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205435,c_186324]) ).

tcf(c_205495,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205435,c_186305]) ).

tcf(c_205522,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_205436,c_52]) ).

tcf(c_205523,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_195726]) ).

tcf(c_205524,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,m(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_192536]) ).

tcf(c_205525,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,m(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_192462]) ).

tcf(c_205526,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,m(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_192427]) ).

tcf(c_205527,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,m(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_192392]) ).

tcf(c_205528,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_186629]) ).

tcf(c_205529,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_186418]) ).

tcf(c_205530,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_186373]) ).

tcf(c_205531,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_187372]) ).

tcf(c_205532,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_186666]) ).

tcf(c_205622,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_202827]) ).

tcf(c_205623,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_202514]) ).

tcf(c_205624,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_202427]) ).

tcf(c_205625,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_202290]) ).

tcf(c_205626,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_202176]) ).

tcf(c_205628,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_15 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_205437,c_52]) ).

tcf(c_205630,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_182657]) ).

tcf(c_205631,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_182420]) ).

tcf(c_205632,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205437,c_182362]) ).

tcf(c_205700,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_197329,c_197202]) ).

tcf(c_205831,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_205438,c_51]) ).

tcf(c_205832,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205438,c_61]) ).

tcf(c_205843,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_205439,c_51]) ).

tcf(c_205844,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205439,c_61]) ).

tcf(c_205855,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_205440,c_51]) ).

tcf(c_205856,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205440,c_61]) ).

tcf(c_205867,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_205441,c_51]) ).

tcf(c_205868,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205441,c_61]) ).

tcf(c_205870,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_21,X0))
      | subq(m(iPr_def_21,X0),iPr_def_19)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205441,c_181263]) ).

tcf(c_205892,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(s(X0),X1))
      | ( X0 = iPr_def_13 )
      | ~ mem(iPr_def_13,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_193585,c_49]) ).

tcf(c_205896,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(s(X0),X1))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193585,c_193520]) ).

tcf(c_205897,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(s(X0),X1))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193585,c_193495]) ).

tcf(c_205898,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_13)
      | subq(iPr_def_14,m(s(X0),X1))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193585,c_193276]) ).

tcf(c_205899,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_13)
      | subq(iPr_def_14,m(s(X0),X1))
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193585,c_193228]) ).

tcf(c_205900,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(s(X0),X1))
      | ( X0 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193585,c_186953]) ).

tcf(c_205903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(s(X1),X2))
      | ( X1 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_193585,c_183910]) ).

tcf(c_205955,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_19,iPr_def_10)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_205287,c_51]) ).

tcf(c_205956,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_12)
      | mem(m(iPr_def_12,X0),iPr_def_10)
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_205287,c_183534]) ).

tcf(c_205963,plain,
    ~ subq(iPr_def_19,iPr_def_14),
    inference(global_subsumption_just,[status(thm)],[c_205294,c_68,c_69,c_74,c_1178,c_1269,c_1397,c_1441,c_1744,c_2683,c_5028,c_74589,c_155098]) ).

tcf(c_205965,plain,
    sK0(s(iPr_def_19),p(iPr_def_14)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198897,c_205963]) ).

tcf(c_205966,plain,
    sK0(iPr_def_20,p(iPr_def_14)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187682,c_205963]) ).

tcf(c_205968,plain,
    ( subq(iPr_def_20,p(iPr_def_14))
    | ~ mem(iPr_def_19,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_205966,c_49]) ).

tcf(c_205971,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_205966,c_188300]) ).

tcf(c_205975,plain,
    ~ subq(iPr_def_19,iPr_def_17),
    inference(global_subsumption_just,[status(thm)],[c_205300,c_68,c_74,c_1179,c_1189,c_1267,c_1268,c_1668,c_1743,c_2800,c_3080,c_35004,c_37008,c_44248,c_155096,c_172304,c_172647]) ).

tcf(c_205977,plain,
    sK0(s(iPr_def_19),p(iPr_def_17)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198897,c_205975]) ).

tcf(c_205978,plain,
    sK0(iPr_def_20,p(iPr_def_17)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187682,c_205975]) ).

tcf(c_205984,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_205442,c_51]) ).

tcf(c_205985,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205442,c_61]) ).

tcf(c_206012,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_21,X0)),p(X1)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205831]) ).

tcf(c_206013,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_21,X1))
      | mem(iPr_def_10,p(X0))
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ mem(X0,m(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_205831]) ).

tcf(c_206015,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_21)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_205831]) ).

tcf(c_206016,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(iPr_def_17,m(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_205831]) ).

tcf(c_206041,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_21,X0)),p(X1)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205843]) ).

tcf(c_206042,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_21,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ mem(X0,m(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_205843]) ).

tcf(c_206044,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_21)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_205843]) ).

tcf(c_206045,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(iPr_def_17,m(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_205843]) ).

tcf(c_206064,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(iPr_def_10,X0)) = iPr_def_13,
    inference(global_subsumption_just,[status(thm)],[c_193592,c_68,c_69,c_74,c_1178,c_1397,c_1441,c_64671,c_74589]) ).

tcf(c_206066,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ~ mem(iPr_def_13,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_206064,c_49]) ).

tcf(c_206070,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_206064,c_193520]) ).

tcf(c_206071,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_206064,c_193495]) ).

tcf(c_206072,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_206064,c_193276]) ).

tcf(c_206073,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_206064,c_193228]) ).

tcf(c_206074,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_206064,c_186953]) ).

tcf(c_206077,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_10,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206064,c_183910]) ).

tcf(c_206107,plain,
    ( subq(iPr_def_20,p(iPr_def_14))
    | ( sK0(s(iPr_def_19),p(iPr_def_14)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_205968]) ).

tcf(c_206109,plain,
    ( subq(iPr_def_20,p(iPr_def_14))
    | ( sK0(s(p(iPr_def_14)),p(iPr_def_21)) = p(iPr_def_14) )
    | ~ atleast3p(p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_201860,c_205968]) ).

tcf(c_206110,plain,
    ( subq(iPr_def_20,p(iPr_def_14))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_14))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_205968]) ).

tcf(c_206111,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_14))
      | ( sK0(iPr_def_20,m(p(iPr_def_14),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_205968]) ).

tcf(c_206112,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_14))
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_205968]) ).

tcf(c_206114,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_14))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_14,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_205968]) ).

tcf(c_206115,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_14))
    | ~ mem(iPr_def_14,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_205968]) ).

tcf(c_206147,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202827]) ).

tcf(c_206148,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202514]) ).

tcf(c_206149,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202427]) ).

tcf(c_206150,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202290]) ).

tcf(c_206151,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202176]) ).

tcf(c_206152,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,m(iPr_def_12,X1))
      | ~ atleast2p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_65]) ).

tcf(c_206153,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ~ subq(iPr_def_19,p(X0))
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_205285,c_52]) ).

tcf(c_206154,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ~ subq(iPr_def_19,p(e)) ),
    inference(superposition,[status(thm)],[c_205285,c_181358]) ).

tcf(c_206155,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_12))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202038]) ).

tcf(c_206157,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(m(iPr_def_12,X0)),X1)
      | ( sK0(p(m(iPr_def_12,X0)),X1) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(sK0(p(m(iPr_def_12,X0)),X1))) ),
    inference(superposition,[status(thm)],[c_205285,c_181359]) ).

tcf(c_206158,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = s(X0) )
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 )
      | ~ subq(iPr_def_19,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_205285,c_181560]) ).

tcf(c_206159,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_14 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_14))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_201961]) ).

tcf(c_206160,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_180963]) ).

tcf(c_206161,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_15))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_202127]) ).

tcf(c_206208,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,iPr_def_19)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(light_normalisation,[status(thm)],[c_206155,c_665]) ).

tcf(c_206279,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ( sK0(s(iPr_def_19),p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198897,c_205281]) ).

tcf(c_206280,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_205281]) ).

tcf(c_206297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),X0)
      | ( sK0(s(iPr_def_19),p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198897,c_205284]) ).

tcf(c_206298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_205284]) ).

tcf(c_206303,plain,
    ( subq(iPr_def_20,p(iPr_def_17))
    | ~ mem(iPr_def_19,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_205978,c_49]) ).

tcf(c_206306,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_205978,c_188300]) ).

tcf(c_206310,plain,
    ~ subq(iPr_def_19,iPr_def_20),
    inference(global_subsumption_just,[status(thm)],[c_205303,c_68,c_69,c_74,c_1179,c_1189,c_1266,c_1267,c_1268,c_1282,c_1668,c_1742,c_1743,c_2800,c_3080,c_3215,c_35004,c_37008,c_44248,c_155094,c_172304,c_172647]) ).

tcf(c_206312,plain,
    sK0(s(iPr_def_19),p(iPr_def_20)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198897,c_206310]) ).

tcf(c_206313,plain,
    sK0(iPr_def_20,p(iPr_def_20)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187682,c_206310]) ).

tcf(c_206315,plain,
    ( subq(iPr_def_20,p(iPr_def_20))
    | ~ mem(iPr_def_19,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_206313,c_49]) ).

tcf(c_206318,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_206313,c_188300]) ).

tcf(c_206326,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_19,iPr_def_15)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_205307,c_51]) ).

tcf(c_206327,plain,
    ! [X0: $i] :
      ( mem(m(iPr_def_12,X0),iPr_def_20)
      | mem(m(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_205307,c_181402]) ).

tcf(c_206341,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_202827]) ).

tcf(c_206342,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_202514]) ).

tcf(c_206343,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_202427]) ).

tcf(c_206344,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_202290]) ).

tcf(c_206345,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_202176]) ).

tcf(c_206347,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_206160,c_52]) ).

tcf(c_206348,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_184804]) ).

tcf(c_206349,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_184712]) ).

tcf(c_206350,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_184534]) ).

tcf(c_206351,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_183356]) ).

tcf(c_206352,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_181843]) ).

tcf(c_206353,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_181840]) ).

tcf(c_206354,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_181422]) ).

tcf(c_206355,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_181661]) ).

tcf(c_206384,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_206345,c_183066]) ).

tcf(c_206389,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_206344,c_183066]) ).

tcf(c_206394,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_206343,c_183066]) ).

tcf(c_206399,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_206342,c_183066]) ).

tcf(c_206404,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_206341,c_183066]) ).

tcf(c_206421,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_14 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206348,c_52]) ).

tcf(c_206422,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206348,c_186343]) ).

tcf(c_206423,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206348,c_186324]) ).

tcf(c_206424,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206348,c_186305]) ).

tcf(c_206457,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206349,c_52]) ).

tcf(c_206458,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_195726]) ).

tcf(c_206459,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,m(iPr_def_12,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_192536]) ).

tcf(c_206460,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_192462]) ).

tcf(c_206461,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,m(iPr_def_12,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_192427]) ).

tcf(c_206462,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,m(iPr_def_12,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_192392]) ).

tcf(c_206463,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_186629]) ).

tcf(c_206464,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_186418]) ).

tcf(c_206465,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_186373]) ).

tcf(c_206466,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_187372]) ).

tcf(c_206467,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_186666]) ).

tcf(c_206499,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_206457,c_205070]) ).

tcf(c_206538,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_202827]) ).

tcf(c_206539,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_202514]) ).

tcf(c_206540,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_202427]) ).

tcf(c_206541,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_202290]) ).

tcf(c_206542,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_202176]) ).

tcf(c_206544,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_206350,c_52]) ).

tcf(c_206546,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_182657]) ).

tcf(c_206547,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_182420]) ).

tcf(c_206548,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_182362]) ).

tcf(c_206606,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206351,c_51]) ).

tcf(c_206607,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206351,c_61]) ).

tcf(c_206622,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206352,c_51]) ).

tcf(c_206623,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206352,c_61]) ).

tcf(c_206624,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206352,c_60]) ).

tcf(c_206641,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206353,c_51]) ).

tcf(c_206642,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206353,c_61]) ).

tcf(c_206643,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206353,c_60]) ).

tcf(c_206660,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206354,c_51]) ).

tcf(c_206661,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206354,c_61]) ).

tcf(c_206662,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206354,c_60]) ).

tcf(c_206663,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_12,X0))
      | subq(m(iPr_def_12,X0),iPr_def_19)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206354,c_181263]) ).

tcf(c_206696,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(s(X0),X1))
      | ( X0 = iPr_def_12 )
      | ~ mem(iPr_def_12,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_193767,c_49]) ).

tcf(c_206698,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(s(X0),X1))
      | ( X0 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193767,c_187457]) ).

tcf(c_206708,plain,
    ( subq(iPr_def_20,p(iPr_def_17))
    | ( sK0(s(iPr_def_19),p(iPr_def_17)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_206303]) ).

tcf(c_206710,plain,
    ( subq(iPr_def_20,p(iPr_def_17))
    | ( sK0(s(p(iPr_def_17)),p(iPr_def_21)) = p(iPr_def_17) )
    | ~ atleast3p(p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_201860,c_206303]) ).

tcf(c_206711,plain,
    ( subq(iPr_def_20,p(iPr_def_17))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_17))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_206303]) ).

tcf(c_206712,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_17))
      | ( sK0(iPr_def_20,m(p(iPr_def_17),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_206303]) ).

tcf(c_206713,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_17))
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_206303]) ).

tcf(c_206715,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_17))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_17,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_206303]) ).

tcf(c_206716,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_17))
    | ~ mem(iPr_def_17,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_206303]) ).

tcf(c_206748,plain,
    ( subq(iPr_def_20,p(iPr_def_20))
    | ( sK0(s(iPr_def_19),p(iPr_def_20)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_206315]) ).

tcf(c_206750,plain,
    ( subq(iPr_def_20,p(iPr_def_20))
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_201860,c_206315]) ).

tcf(c_206751,plain,
    ( subq(iPr_def_20,p(iPr_def_20))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_20))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_206315]) ).

tcf(c_206752,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_20))
      | ( sK0(iPr_def_20,m(p(iPr_def_20),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_206315]) ).

tcf(c_206753,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_20))
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_206315]) ).

tcf(c_206755,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_20))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_20,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_206315]) ).

tcf(c_206756,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_20))
    | ~ mem(iPr_def_20,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_206315]) ).

tcf(c_206792,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_13),m(iPr_def_10,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_206066]) ).

tcf(c_206793,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_10,X0))
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_59,c_206066]) ).

tcf(c_206794,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_201862,c_206066]) ).

tcf(c_206795,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_206066]) ).

tcf(c_206796,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_206066]) ).

tcf(c_206797,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,m(m(iPr_def_10,X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_206066]) ).

tcf(c_206831,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),e)
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198892,c_181283]) ).

tcf(c_206832,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_12)
      | ( s(X0) = iPr_def_12 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_200599,c_181283]) ).

tcf(c_206833,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_10)
      | ( s(X0) = iPr_def_10 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_204644,c_181283]) ).

tcf(c_206835,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),s(X2))
      | ( s(X0) = s(X2) )
      | ( sK0(s(X2),s(X0)) = X2 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_184024,c_181283]) ).

tcf(c_206837,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,s(X1))
      | ( X1 = e )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_185753,c_181283]) ).

tcf(c_206838,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,s(X1))
      | ( X1 = iPr_def_13 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_187125,c_181283]) ).

tcf(c_206839,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,s(X1))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_187217,c_181283]) ).

tcf(c_206840,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,s(X1))
      | ( s(X1) = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_186435,c_181283]) ).

tcf(c_206841,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,s(X1))
      | ( X1 = iPr_def_16 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_187544,c_181283]) ).

tcf(c_206842,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,s(X1))
      | ( X1 = iPr_def_19 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_187678,c_181283]) ).

tcf(c_206843,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,s(X1))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_189951,c_181283]) ).

tcf(c_206844,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_14)
      | ( s(X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_184340,c_181283]) ).

tcf(c_206845,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_16)
      | ( s(X0) = iPr_def_16 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_202596,c_181283]) ).

tcf(c_206846,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_17)
      | ( s(X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_184332,c_181283]) ).

tcf(c_206847,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_20)
      | ( s(X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_184328,c_181283]) ).

tcf(c_206857,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(e))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_195968,c_181283]) ).

tcf(c_206858,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(e))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_200255,c_181283]) ).

tcf(c_206859,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(e))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_201116,c_181283]) ).

tcf(c_206860,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(e))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_202940,c_181283]) ).

tcf(c_206861,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(e))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_203798,c_181283]) ).

tcf(c_206862,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_12)
      | mem(iPr_def_13,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_187133,c_181283]) ).

tcf(c_206863,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_187225,c_181283]) ).

tcf(c_206864,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_186451,c_181283]) ).

tcf(c_206865,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_187552,c_181283]) ).

tcf(c_206866,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_187686,c_181283]) ).

tcf(c_206867,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( iPr_def_12 = iPr_def_20 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_200617,c_181283]) ).

tcf(c_206868,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_189973,c_181283]) ).

tcf(c_206869,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_17)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_189970,c_181283]) ).

tcf(c_206870,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_189967,c_181283]) ).

tcf(c_206871,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_14)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_189964,c_181283]) ).

tcf(c_206872,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_20)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_187144,c_181283]) ).

tcf(c_206877,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_14)
      | mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_187691,c_181283]) ).

tcf(c_206878,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_17)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_187142,c_181283]) ).

tcf(c_206879,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_187234,c_181283]) ).

tcf(c_206880,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ( iPr_def_16 = iPr_def_17 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_186457,c_181283]) ).

tcf(c_206881,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_16)
      | mem(iPr_def_16,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_187560,c_181283]) ).

tcf(c_206882,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_187557,c_181283]) ).

tcf(c_206883,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_16)
      | mem(iPr_def_13,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_187140,c_181283]) ).

tcf(c_206884,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_187230,c_181283]) ).

tcf(c_206885,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_186462,c_181283]) ).

tcf(c_206890,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ( s(X1) = iPr_def_19 )
      | ( sK0(s(X1),iPr_def_19) = X1 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_192249,c_181283]) ).

tcf(c_206891,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( s(X1) = iPr_def_13 )
      | ( sK0(s(X1),iPr_def_13) = X1 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_191565,c_181283]) ).

tcf(c_206892,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_12,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193122,c_181283]) ).

tcf(c_206894,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_20))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_206313,c_181283]) ).

tcf(c_206895,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_17))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_205978,c_181283]) ).

tcf(c_206896,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_16))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_192250,c_181283]) ).

tcf(c_206897,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_14))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_205966,c_181283]) ).

tcf(c_206898,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_10))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_191568,c_181283]) ).

tcf(c_206899,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(s(X1),X2))
      | ( X1 = e )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193094,c_181283]) ).

tcf(c_206900,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_14,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193121,c_181283]) ).

tcf(c_206901,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_16,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193120,c_181283]) ).

tcf(c_206902,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_17,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193119,c_181283]) ).

tcf(c_206903,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_20,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193118,c_181283]) ).

tcf(c_206904,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_15,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193129,c_181283]) ).

tcf(c_206905,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_18,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193130,c_181283]) ).

tcf(c_206906,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_21,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_193135,c_181283]) ).

tcf(c_206907,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_21))
      | ( iPr_def_13 = iPr_def_21 )
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_196014,c_181283]) ).

tcf(c_206908,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(s(X1),X2))
      | ( X1 = iPr_def_13 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_193585,c_181283]) ).

tcf(c_206909,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_10,X1))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_206064,c_181283]) ).

tcf(c_206910,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(e),X1))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_195987,c_181283]) ).

tcf(c_206911,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(s(X1),X2))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_193767,c_181283]) ).

tcf(c_206912,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(e),X1))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_200301,c_181283]) ).

tcf(c_206913,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(p(e),X1))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_201133,c_181283]) ).

tcf(c_206914,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_19,X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_194479,c_181283]) ).

tcf(c_206915,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(e),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_202957,c_181283]) ).

tcf(c_206916,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_16),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_194458,c_181283]) ).

tcf(c_206917,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(e))
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201212,c_181283]) ).

tcf(c_206918,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(e),X1))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_203858,c_181283]) ).

tcf(c_206920,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X3)
      | mem(sK0(X0,X3),X2)
      | ~ subq(X1,X2)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181283,c_51]) ).

tcf(c_206921,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ~ subq(X0,e) ),
    inference(superposition,[status(thm)],[c_181283,c_53]) ).

tcf(c_206922,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | ( sK0(X0,X2) = X1 )
      | ~ subq(X0,s(X1)) ),
    inference(superposition,[status(thm)],[c_181283,c_55]) ).

tcf(c_206923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X3)
      | mem(sK0(X0,X3),X2)
      | mem(sK0(X0,X3),X1)
      | ~ subq(X0,u(X1,X2)) ),
    inference(superposition,[status(thm)],[c_181283,c_58]) ).

tcf(c_206924,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X3)
      | ~ mem(sK0(X0,X3),X2)
      | ~ subq(X0,m(X1,X2)) ),
    inference(superposition,[status(thm)],[c_181283,c_61]) ).

tcf(c_206925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X3)
      | mem(sK0(X0,X3),X1)
      | ~ subq(X0,m(X1,X2)) ),
    inference(superposition,[status(thm)],[c_181283,c_60]) ).

tcf(c_206926,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | subq(sK0(X0,X2),X1)
      | ~ subq(X0,p(X1)) ),
    inference(superposition,[status(thm)],[c_181283,c_63]) ).

tcf(c_206927,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | subq(sK0(X0,X1),iPr_def_12)
      | ~ subq(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_181283,c_181002]) ).

tcf(c_206928,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_13)
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181283,c_183361]) ).

tcf(c_206929,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(X0,X1) = e )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181283,c_181021]) ).

tcf(c_206930,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(X0,X1)
      | subq(iPr_def_10,sK0(X0,X1))
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181283,c_190313]) ).

tcf(c_206931,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(X0,X1) = iPr_def_10 )
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181283,c_183362]) ).

tcf(c_206932,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_13)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181283,c_181149]) ).

tcf(c_206933,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_15)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181283,c_181127]) ).

tcf(c_206934,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(X0,X1)
      | subq(iPr_def_13,sK0(X0,X1))
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181283,c_186900]) ).

tcf(c_206935,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_15)
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181283,c_181150]) ).

tcf(c_206936,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(X0,X1) = iPr_def_13 )
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181283,c_181023]) ).

tcf(c_206937,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(X0,X1)
      | subq(iPr_def_12,sK0(X0,X1))
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181283,c_187056]) ).

tcf(c_206938,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_18)
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181283,c_181128]) ).

tcf(c_206939,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(X0,X1) = iPr_def_12 )
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181283,c_181024]) ).

tcf(c_206940,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(X0,X1)
      | subq(iPr_def_16,sK0(X0,X1))
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181283,c_187496]) ).

tcf(c_206941,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_18)
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181283,c_181151]) ).

tcf(c_206942,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(X0,X1) = iPr_def_16 )
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181283,c_181025]) ).

tcf(c_206943,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(X0,X1)
      | subq(iPr_def_19,sK0(X0,X1))
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181283,c_187975]) ).

tcf(c_206944,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_21)
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181283,c_181152]) ).

tcf(c_206945,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(X0,X1) = iPr_def_19 )
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181283,c_181026]) ).

tcf(c_206946,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_12)
      | mem(sK0(X0,X1),iPr_def_10)
      | ~ subq(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_181283,c_183534]) ).

tcf(c_206947,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_14)
      | mem(sK0(X0,X1),iPr_def_12)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181283,c_181400]) ).

tcf(c_206948,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_21)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181283,c_181130]) ).

tcf(c_206949,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_17)
      | mem(sK0(X0,X1),iPr_def_16)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181283,c_181401]) ).

tcf(c_206950,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_21)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181283,c_181129]) ).

tcf(c_206951,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),iPr_def_20)
      | mem(sK0(X0,X1),iPr_def_18)
      | ~ subq(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181283,c_181402]) ).

tcf(c_207424,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_204674,c_51]) ).

tcf(c_207632,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(s(X0),p(e)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_206921]) ).

tcf(c_207634,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(e),X0)
      | subq(sK0(p(e),X0),X1) ),
    inference(superposition,[status(thm)],[c_181000,c_206921]) ).

tcf(c_207654,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X0),X1)
      | ~ subq(iPr_def_19,p(e)) ),
    inference(superposition,[status(thm)],[c_205285,c_206921]) ).

tcf(c_207661,plain,
    ~ subq(iPr_def_19,iPr_def_18),
    inference(global_subsumption_just,[status(thm)],[c_205309,c_68,c_69,c_74,c_1179,c_1189,c_1266,c_1267,c_1268,c_1282,c_1668,c_1742,c_1743,c_2800,c_3080,c_3215,c_35004,c_37008,c_44248,c_155093,c_172304,c_172647]) ).

tcf(c_207663,plain,
    sK0(s(iPr_def_19),p(iPr_def_18)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198897,c_207661]) ).

tcf(c_207664,plain,
    sK0(iPr_def_20,p(iPr_def_18)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187682,c_207661]) ).

tcf(c_207666,plain,
    ( subq(iPr_def_20,p(iPr_def_18))
    | ~ mem(iPr_def_19,p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_207664,c_49]) ).

tcf(c_207669,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_18))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_207664,c_181283]) ).

tcf(c_207670,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_207664,c_188300]) ).

tcf(c_207681,plain,
    ( subq(iPr_def_20,p(iPr_def_18))
    | ( sK0(s(iPr_def_19),p(iPr_def_18)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_207666]) ).

tcf(c_207683,plain,
    ( subq(iPr_def_20,p(iPr_def_18))
    | ( sK0(s(p(iPr_def_18)),p(iPr_def_21)) = p(iPr_def_18) )
    | ~ atleast3p(p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_201860,c_207666]) ).

tcf(c_207684,plain,
    ( subq(iPr_def_20,p(iPr_def_18))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_18))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193273,c_207666]) ).

tcf(c_207685,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_18))
      | ( sK0(iPr_def_20,m(p(iPr_def_18),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_207666]) ).

tcf(c_207686,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_18))
    | ( sK0(iPr_def_14,p(iPr_def_18)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_207666]) ).

tcf(c_207688,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_207666]) ).

tcf(c_207689,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_18))
    | ~ mem(iPr_def_18,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_207666]) ).

tcf(c_207719,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206355,c_51]) ).

tcf(c_207720,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206355,c_61]) ).

tcf(c_207721,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206355,c_60]) ).

tcf(c_207732,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_21 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_206347,c_60636]) ).

tcf(c_207770,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_21,X0)),p(X1)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205855]) ).

tcf(c_207771,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_21,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ mem(X0,m(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_205855]) ).

tcf(c_207773,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_21)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_205855]) ).

tcf(c_207774,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(iPr_def_17,m(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_205855]) ).

tcf(c_207799,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_21,X0)),p(X1)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205867]) ).

tcf(c_207800,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_21,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ mem(X0,m(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_205867]) ).

tcf(c_207813,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_12,
    inference(global_subsumption_just,[status(thm)],[c_193774,c_1179,c_2800,c_35004,c_66723,c_172304]) ).

tcf(c_207816,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ~ mem(iPr_def_12,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_207813,c_49]) ).

tcf(c_207818,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_207813,c_187457]) ).

tcf(c_207821,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(iPr_def_10,X1))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_207813,c_181283]) ).

tcf(c_207832,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_12),m(iPr_def_10,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_207816]) ).

tcf(c_207833,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(iPr_def_10,X0))
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_59,c_207816]) ).

tcf(c_207834,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_201861,c_207816]) ).

tcf(c_207835,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193492,c_207816]) ).

tcf(c_207836,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_16,m(m(iPr_def_10,X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_207816]) ).

tcf(c_207839,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_17,m(m(iPr_def_10,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_207816]) ).

tcf(c_207840,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_207816]) ).

tcf(c_207872,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ( sK0(s(p(X1)),p(X2)) = p(X1) )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_198897,c_181287]) ).

tcf(c_207873,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(p(X1))
      | mem(X2,p(X0))
      | ~ subq(X2,X1)
      | ~ mem(X0,p(X1)) ),
    inference(superposition,[status(thm)],[c_64,c_181287]) ).

tcf(c_207875,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(X1))
      | mem(X0,iPr_def_19)
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ~ atleast3p(p(X1))
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_202546,c_181287]) ).

tcf(c_207876,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(X1))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185490,c_181287]) ).

tcf(c_207877,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(X1))
      | mem(X0,iPr_def_19)
      | ~ subq(iPr_def_12,X1)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_185359,c_181287]) ).

tcf(c_207878,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | ~ subq(iPr_def_19,X1)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_665,c_181287]) ).

tcf(c_207910,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ( sK0(s(X1),p(iPr_def_12)) = X1 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_198897,c_207878]) ).

tcf(c_207912,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_12),X1)
      | mem(sK0(p(iPr_def_12),X1),X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_181000,c_207878]) ).

tcf(c_207914,plain,
    ! [X0: $i,X1: $i] :
      ( mem(s(X1),X0)
      | ( sK0(s(X1),iPr_def_12) = X1 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_181019,c_207878]) ).

tcf(c_207915,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187682,c_207878]) ).

tcf(c_207916,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X1)
      | mem(sK0(iPr_def_19,X1),X0)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_181054,c_207878]) ).

tcf(c_207917,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(iPr_def_12)) = iPr_def_10 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_189955,c_207878]) ).

tcf(c_207920,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,p(iPr_def_12)) = iPr_def_12 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187221,c_207878]) ).

tcf(c_207921,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,iPr_def_12) = iPr_def_10 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_183528,c_207878]) ).

tcf(c_207922,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_185473,c_207878]) ).

tcf(c_207925,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187548,c_207878]) ).

tcf(c_207931,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187129,c_207878]) ).

tcf(c_207933,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_187549,c_207878]) ).

tcf(c_207947,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,iPr_def_19) = iPr_def_12 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_207920,c_665]) ).

tcf(c_207957,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ( sK0(s(X1),iPr_def_19) = X1 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_207910,c_665]) ).

tcf(c_207961,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_207922,c_665]) ).

tcf(c_207988,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_191563,c_51]) ).

tcf(c_207990,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_55]) ).

tcf(c_207991,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(u(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_58]) ).

tcf(c_207992,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(X1,X0))) = iPr_def_13 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_191563,c_61]) ).

tcf(c_207993,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_60]) ).

tcf(c_207994,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_63]) ).

tcf(c_207995,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_14,p(iPr_def_19)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181002]) ).

tcf(c_207997,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181021]) ).

tcf(c_207998,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_190313]) ).

tcf(c_208002,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_186900]) ).

tcf(c_208004,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181023]) ).

tcf(c_208005,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_187056]) ).

tcf(c_208006,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181128]) ).

tcf(c_208007,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181024]) ).

tcf(c_208008,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_187496]) ).

tcf(c_208009,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181151]) ).

tcf(c_208010,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181025]) ).

tcf(c_208011,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_187975]) ).

tcf(c_208013,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181026]) ).

tcf(c_208017,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_14,p(iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_181401]) ).

tcf(c_208021,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_194975]) ).

tcf(c_208022,plain,
    sK0(iPr_def_14,p(p(e))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191563,c_203853]) ).

tcf(c_208031,plain,
    sK0(iPr_def_14,p(iPr_def_19)) = iPr_def_13,
    inference(forward_subsumption_resolution,[status(thm)],[c_207995,c_194794]) ).

tcf(c_208162,plain,
    ( subq(iPr_def_14,p(iPr_def_19))
    | ~ mem(iPr_def_13,p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_208031,c_49]) ).

tcf(c_208164,plain,
    ( subq(iPr_def_14,p(iPr_def_19))
    | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_208031,c_181012]) ).

tcf(c_208167,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208031,c_193520]) ).

tcf(c_208168,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208031,c_193495]) ).

tcf(c_208169,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208031,c_193276]) ).

tcf(c_208170,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208031,c_193228]) ).

tcf(c_208171,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_208031,c_186953]) ).

tcf(c_208174,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_19))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_208031,c_181283]) ).

tcf(c_208175,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_19))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_208031,c_183910]) ).

tcf(c_208206,plain,
    ( subq(iPr_def_14,p(p(e)))
    | ~ mem(iPr_def_13,p(p(e))) ),
    inference(superposition,[status(thm)],[c_208022,c_49]) ).

tcf(c_208208,plain,
    ( subq(iPr_def_14,p(p(e)))
    | ~ subq(iPr_def_13,p(e)) ),
    inference(superposition,[status(thm)],[c_208022,c_181012]) ).

tcf(c_208211,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(p(e)))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208022,c_193520]) ).

tcf(c_208212,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,p(p(e)))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208022,c_193495]) ).

tcf(c_208213,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_13)
    | subq(iPr_def_14,p(p(e)))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208022,c_193276]) ).

tcf(c_208214,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | subq(iPr_def_14,p(p(e)))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_208022,c_193228]) ).

tcf(c_208215,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(p(e))) ),
    inference(superposition,[status(thm)],[c_208022,c_186953]) ).

tcf(c_208218,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(p(e)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_208022,c_181283]) ).

tcf(c_208219,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(p(e)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_208022,c_183910]) ).

tcf(c_208259,plain,
    ( atleast3p(p(iPr_def_19))
    | subq(p(iPr_def_19),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_208164,c_65]) ).

tcf(c_208260,plain,
    ( ( p(iPr_def_19) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_19)
    | ~ subq(p(iPr_def_19),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_208164,c_52]) ).

tcf(c_208261,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_19))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_208164,c_186343]) ).

tcf(c_208262,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_19))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_208164,c_186324]) ).

tcf(c_208264,plain,
    ( mem(iPr_def_13,p(iPr_def_19))
    | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_208164,c_181290]) ).

tcf(c_208288,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_21)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205870,c_202827]) ).

tcf(c_208294,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_21,X0))
      | ( m(iPr_def_21,X0) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(iPr_def_19,m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205870,c_52]) ).

tcf(c_208296,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205870,c_205855]) ).

tcf(c_208297,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205870,c_205843]) ).

tcf(c_208298,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205870,c_205831]) ).

tcf(c_208358,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_21,X0)),p(X1)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205984]) ).

tcf(c_208359,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_21,X1))
      | mem(iPr_def_13,p(X0))
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ mem(X0,m(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_205984]) ).

tcf(c_208362,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ( sK0(iPr_def_17,m(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_205984]) ).

tcf(c_208364,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205870,c_205984]) ).

tcf(c_208428,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(s(X0),X1))
      | ( X0 = iPr_def_16 )
      | ~ mem(iPr_def_16,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_194162,c_49]) ).

tcf(c_208430,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(s(X0),X1))
      | ( X0 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_194162,c_187918]) ).

tcf(c_208433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(s(X1),X2))
      | ( X1 = iPr_def_16 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_194162,c_181283]) ).

tcf(c_208460,plain,
    ( subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(s(iPr_def_13),p(iPr_def_19)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_208162]) ).

tcf(c_208462,plain,
    ( subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(s(p(iPr_def_19)),p(iPr_def_21)) = p(iPr_def_19) )
    | ~ atleast3p(p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_201862,c_208162]) ).

tcf(c_208463,plain,
    ( subq(iPr_def_14,p(iPr_def_19))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_19)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_208162]) ).

tcf(c_208464,plain,
    ( subq(iPr_def_14,p(iPr_def_19))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_19))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_208162]) ).

tcf(c_208465,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_19))
      | ( sK0(iPr_def_14,m(p(iPr_def_19),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_208162]) ).

tcf(c_208467,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_19))
    | ~ mem(iPr_def_19,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_208162]) ).

tcf(c_208490,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202827]) ).

tcf(c_208491,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202514]) ).

tcf(c_208492,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202427]) ).

tcf(c_208493,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202290]) ).

tcf(c_208494,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202176]) ).

tcf(c_208495,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_10)
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_65]) ).

tcf(c_208496,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_52]) ).

tcf(c_208499,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(p(iPr_def_12))) = iPr_def_13 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_207994,c_207878]) ).

tcf(c_208500,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_14,p(p(iPr_def_12))) = iPr_def_13 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202038]) ).

tcf(c_208501,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_14,p(p(iPr_def_12))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_180993]) ).

tcf(c_208502,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_181288]) ).

tcf(c_208504,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_10),X0)
      | ( sK0(p(iPr_def_10),X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(sK0(p(iPr_def_10),X0)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_181359]) ).

tcf(c_208506,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(p(iPr_def_14))) = iPr_def_13 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_201961]) ).

tcf(c_208507,plain,
    sK0(iPr_def_14,p(p(iPr_def_12))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_207994,c_194794]) ).

tcf(c_208508,plain,
    ( subq(iPr_def_21,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_180963]) ).

tcf(c_208509,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_14,p(p(iPr_def_15))) = iPr_def_13 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_202127]) ).

tcf(c_208528,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208494,c_183366]) ).

tcf(c_208533,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208493,c_183366]) ).

tcf(c_208538,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208492,c_183366]) ).

tcf(c_208543,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208491,c_183366]) ).

tcf(c_208548,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208490,c_183366]) ).

tcf(c_208553,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_14,p(p(iPr_def_15))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208509,c_183366]) ).

tcf(c_208558,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_14,p(p(iPr_def_14))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_208506,c_183366]) ).

tcf(c_208569,plain,
    ( subq(iPr_def_14,p(p(e)))
    | ( sK0(s(iPr_def_13),p(p(e))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_208206]) ).

tcf(c_208571,plain,
    ( subq(iPr_def_14,p(p(e)))
    | ( sK0(s(p(p(e))),p(iPr_def_21)) = p(p(e)) )
    | ~ atleast3p(p(p(e))) ),
    inference(superposition,[status(thm)],[c_201862,c_208206]) ).

tcf(c_208572,plain,
    ( subq(iPr_def_14,p(p(e)))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(p(e))) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_208206]) ).

tcf(c_208573,plain,
    ( subq(iPr_def_14,p(p(e)))
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(p(e)))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193517,c_208206]) ).

tcf(c_208574,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(p(e)))
      | ( sK0(iPr_def_14,m(p(p(e)),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_208206]) ).

tcf(c_208576,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(p(e)))
    | ~ mem(p(e),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_208206]) ).

tcf(c_208616,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,s(X1))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_189951,c_182629]) ).

tcf(c_208618,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(e))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_203798,c_182629]) ).

tcf(c_208619,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_189973,c_182629]) ).

tcf(c_208620,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_17)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_189970,c_182629]) ).

tcf(c_208621,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_189967,c_182629]) ).

tcf(c_208622,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_14)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_189964,c_182629]) ).

tcf(c_208624,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(e),X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_203858,c_182629]) ).

tcf(c_208625,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182629,c_49]) ).

tcf(c_208626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_15,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_182629,c_51]) ).

tcf(c_208627,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ~ subq(iPr_def_15,e) ),
    inference(superposition,[status(thm)],[c_182629,c_53]) ).

tcf(c_208628,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_12,X1) = X0 )
      | ~ subq(iPr_def_15,s(X0)) ),
    inference(superposition,[status(thm)],[c_182629,c_55]) ).

tcf(c_208629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X1)
      | mem(sK0(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_15,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182629,c_58]) ).

tcf(c_208630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | ~ mem(sK0(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_15,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182629,c_61]) ).

tcf(c_208631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_15,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182629,c_60]) ).

tcf(c_208632,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | subq(sK0(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_15,p(X0)) ),
    inference(superposition,[status(thm)],[c_182629,c_63]) ).

tcf(c_208633,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | subq(sK0(iPr_def_12,X0),iPr_def_12)
      | ~ subq(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_182629,c_181002]) ).

tcf(c_208635,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = e )
      | ~ subq(iPr_def_15,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182629,c_181021]) ).

tcf(c_208640,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_13,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_15,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182629,c_186900]) ).

tcf(c_208642,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_13 )
      | ~ subq(iPr_def_15,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182629,c_181023]) ).

tcf(c_208643,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_12,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182629,c_187056]) ).

tcf(c_208644,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182629,c_181128]) ).

tcf(c_208645,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_12 )
      | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182629,c_181024]) ).

tcf(c_208646,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_16,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182629,c_187496]) ).

tcf(c_208647,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182629,c_181151]) ).

tcf(c_208648,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_16 )
      | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182629,c_181025]) ).

tcf(c_208649,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_19,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_15,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182629,c_187975]) ).

tcf(c_208651,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_19 )
      | ~ subq(iPr_def_15,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182629,c_181026]) ).

tcf(c_208655,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_17)
      | mem(sK0(iPr_def_12,X0),iPr_def_16)
      | ~ subq(iPr_def_15,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_182629,c_181401]) ).

tcf(c_208806,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_208625]) ).

tcf(c_208812,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_12,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182645,c_208625]) ).

tcf(c_208813,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_12,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183089,c_208625]) ).

tcf(c_208827,plain,
    ~ subq(iPr_def_15,e),
    inference(global_subsumption_just,[status(thm)],[c_208627,c_1663,c_35004]) ).

tcf(c_208829,plain,
    sK0(s(iPr_def_15),p(e)) = iPr_def_15,
    inference(superposition,[status(thm)],[c_198897,c_208827]) ).

tcf(c_208842,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_14)
    | subq(iPr_def_14,iPr_def_12)
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_208813,c_65]) ).

tcf(c_208843,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_12 = iPr_def_14 )
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_14,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_208813,c_52]) ).

tcf(c_208846,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_208813,c_192462]) ).

tcf(c_208847,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_19,iPr_def_14)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_208813,c_192427]) ).

tcf(c_208848,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_16,iPr_def_14)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_208813,c_192392]) ).

tcf(c_208860,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_14,iPr_def_12)
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_208842,c_181720]) ).

tcf(c_209022,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_202827]) ).

tcf(c_209023,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_202514]) ).

tcf(c_209024,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_202427]) ).

tcf(c_209025,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_202290]) ).

tcf(c_209026,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_202176]) ).

tcf(c_209028,plain,
    ( ( iPr_def_10 = iPr_def_21 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_208508,c_52]) ).

tcf(c_209029,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_184804]) ).

tcf(c_209030,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_184712]) ).

tcf(c_209031,plain,
    ( subq(iPr_def_15,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_184534]) ).

tcf(c_209032,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_183356]) ).

tcf(c_209033,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_181843]) ).

tcf(c_209034,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_181840]) ).

tcf(c_209035,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_181422]) ).

tcf(c_209036,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_208508,c_181661]) ).

tcf(c_209065,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209026,c_183066]) ).

tcf(c_209070,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209025,c_183066]) ).

tcf(c_209075,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209024,c_183066]) ).

tcf(c_209080,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209023,c_183066]) ).

tcf(c_209085,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209022,c_183066]) ).

tcf(c_209124,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_209029,c_52]) ).

tcf(c_209125,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209029,c_186343]) ).

tcf(c_209126,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209029,c_186324]) ).

tcf(c_209127,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209029,c_186305]) ).

tcf(c_209161,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_195726]) ).

tcf(c_209162,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_192536]) ).

tcf(c_209163,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_192462]) ).

tcf(c_209164,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_192427]) ).

tcf(c_209165,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_192392]) ).

tcf(c_209166,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_186629]) ).

tcf(c_209167,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_186418]) ).

tcf(c_209168,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_186373]) ).

tcf(c_209169,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_187372]) ).

tcf(c_209170,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209030,c_186666]) ).

tcf(c_209228,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_202827]) ).

tcf(c_209229,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_202514]) ).

tcf(c_209230,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_202427]) ).

tcf(c_209231,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_202290]) ).

tcf(c_209232,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_202176]) ).

tcf(c_209234,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_209031,c_52]) ).

tcf(c_209237,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_182657]) ).

tcf(c_209238,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_182420]) ).

tcf(c_209239,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209031,c_182362]) ).

tcf(c_209288,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_209032,c_51]) ).

tcf(c_209290,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209032,c_181021]) ).

tcf(c_209300,plain,
    ( ~ atleast3p(iPr_def_10)
    | ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 ) ),
    inference(global_subsumption_just,[status(thm)],[c_209033,c_68,c_69,c_74,c_1178,c_2683,c_209290]) ).

tcf(c_209301,plain,
    ( ( sK0(iPr_def_14,p(p(iPr_def_21))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_209300]) ).

tcf(c_209306,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_194169,c_68,c_74,c_1189,c_1668,c_3080,c_37008,c_44248,c_67375,c_172647]) ).

tcf(c_209309,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X0))
      | ~ mem(iPr_def_16,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_209306,c_49]) ).

tcf(c_209311,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_209306,c_187918]) ).

tcf(c_209314,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(iPr_def_10,X1))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_209306,c_181283]) ).

tcf(c_209321,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_14,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(global_subsumption_just,[status(thm)],[c_208860,c_36021]) ).

tcf(c_209334,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_12)
    | subq(iPr_def_12,iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_209321,c_65]) ).

tcf(c_209335,plain,
    ( atleast3p(iPr_def_15)
    | ( iPr_def_12 = iPr_def_14 )
    | ~ atleast2p(iPr_def_12)
    | ~ subq(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_209321,c_52]) ).

tcf(c_209336,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_14,X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_209321,c_207878]) ).

tcf(c_209338,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_14,iPr_def_19)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_209321,c_180993]) ).

tcf(c_209359,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_16),m(iPr_def_10,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_209309]) ).

tcf(c_209360,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(iPr_def_10,X0))
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_59,c_209309]) ).

tcf(c_209361,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X0))
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_201859,c_209309]) ).

tcf(c_209362,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193225,c_209309]) ).

tcf(c_209363,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X0))
      | ( sK0(iPr_def_17,m(m(iPr_def_10,X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_209309]) ).

tcf(c_209390,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,s(X1))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187217,c_182675]) ).

tcf(c_209391,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,s(X1))
      | ( s(X1) = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_186435,c_182675]) ).

tcf(c_209393,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(e))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_200255,c_182675]) ).

tcf(c_209394,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187225,c_182675]) ).

tcf(c_209395,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_186451,c_182675]) ).

tcf(c_209397,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187234,c_182675]) ).

tcf(c_209398,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ( iPr_def_16 = iPr_def_17 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_186457,c_182675]) ).

tcf(c_209399,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187230,c_182675]) ).

tcf(c_209400,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_186462,c_182675]) ).

tcf(c_209401,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(s(X1),X2))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_193767,c_182675]) ).

tcf(c_209402,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(iPr_def_10,X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_207813,c_182675]) ).

tcf(c_209403,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(e),X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_200301,c_182675]) ).

tcf(c_209404,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_182675,c_49]) ).

tcf(c_209405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | mem(sK0(iPr_def_16,X2),X1)
      | ~ subq(iPr_def_18,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_182675,c_51]) ).

tcf(c_209406,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ~ subq(iPr_def_18,e) ),
    inference(superposition,[status(thm)],[c_182675,c_53]) ).

tcf(c_209407,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_16,X1) = X0 )
      | ~ subq(iPr_def_18,s(X0)) ),
    inference(superposition,[status(thm)],[c_182675,c_55]) ).

tcf(c_209408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | mem(sK0(iPr_def_16,X2),X1)
      | mem(sK0(iPr_def_16,X2),X0)
      | ~ subq(iPr_def_18,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182675,c_58]) ).

tcf(c_209409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | ~ mem(sK0(iPr_def_16,X2),X1)
      | ~ subq(iPr_def_18,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182675,c_61]) ).

tcf(c_209410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | mem(sK0(iPr_def_16,X2),X0)
      | ~ subq(iPr_def_18,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182675,c_60]) ).

tcf(c_209411,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | subq(sK0(iPr_def_16,X1),X0)
      | ~ subq(iPr_def_18,p(X0)) ),
    inference(superposition,[status(thm)],[c_182675,c_63]) ).

tcf(c_209412,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | subq(sK0(iPr_def_16,X0),iPr_def_12)
      | ~ subq(iPr_def_18,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_182675,c_181002]) ).

tcf(c_209413,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_13)
      | ~ subq(iPr_def_18,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182675,c_183361]) ).

tcf(c_209414,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = e )
      | ~ subq(iPr_def_18,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182675,c_181021]) ).

tcf(c_209415,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_10,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182675,c_190313]) ).

tcf(c_209416,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_10 )
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182675,c_183362]) ).

tcf(c_209417,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_13)
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182675,c_181149]) ).

tcf(c_209418,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_15)
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182675,c_181127]) ).

tcf(c_209419,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_13,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182675,c_186900]) ).

tcf(c_209420,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_15)
      | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182675,c_181150]) ).

tcf(c_209421,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_13 )
      | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182675,c_181023]) ).

tcf(c_209425,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_16,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_18,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182675,c_187496]) ).

tcf(c_209427,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_16 )
      | ~ subq(iPr_def_18,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182675,c_181025]) ).

tcf(c_209428,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_19,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_18,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182675,c_187975]) ).

tcf(c_209430,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_19 )
      | ~ subq(iPr_def_18,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182675,c_181026]) ).

tcf(c_209431,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_12)
      | mem(sK0(iPr_def_16,X0),iPr_def_10)
      | ~ subq(iPr_def_18,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_182675,c_183534]) ).

tcf(c_209432,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_14)
      | mem(sK0(iPr_def_16,X0),iPr_def_12)
      | ~ subq(iPr_def_18,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182675,c_181400]) ).

tcf(c_209608,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_209404]) ).

tcf(c_209613,plain,
    ( subq(iPr_def_16,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_209404]) ).

tcf(c_209619,plain,
    ~ subq(iPr_def_18,e),
    inference(global_subsumption_just,[status(thm)],[c_209406,c_1662,c_37008]) ).

tcf(c_209621,plain,
    sK0(s(iPr_def_18),p(e)) = iPr_def_18,
    inference(superposition,[status(thm)],[c_198897,c_209619]) ).

tcf(c_209622,plain,
    ( subq(s(iPr_def_15),p(e))
    | ~ mem(iPr_def_15,p(e)) ),
    inference(superposition,[status(thm)],[c_208829,c_49]) ).

tcf(c_209623,plain,
    ( mem(iPr_def_15,s(iPr_def_15))
    | subq(s(iPr_def_15),p(e)) ),
    inference(superposition,[status(thm)],[c_208829,c_50]) ).

tcf(c_209625,plain,
    ! [X0: $i] :
      ( mem(iPr_def_15,X0)
      | subq(s(iPr_def_15),p(e))
      | ~ subq(s(iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_208829,c_181283]) ).

tcf(c_209640,plain,
    ( subq(s(iPr_def_18),p(e))
    | ~ mem(iPr_def_18,p(e)) ),
    inference(superposition,[status(thm)],[c_209621,c_49]) ).

tcf(c_209641,plain,
    ( mem(iPr_def_18,s(iPr_def_18))
    | subq(s(iPr_def_18),p(e)) ),
    inference(superposition,[status(thm)],[c_209621,c_50]) ).

tcf(c_209643,plain,
    ! [X0: $i] :
      ( mem(iPr_def_18,X0)
      | subq(s(iPr_def_18),p(e))
      | ~ subq(s(iPr_def_18),X0) ),
    inference(superposition,[status(thm)],[c_209621,c_181283]) ).

tcf(c_209658,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_14 )
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_14)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205492]) ).

tcf(c_209677,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(s(X0),X1))
      | ( X0 = iPr_def_19 )
      | ~ mem(iPr_def_19,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_194424,c_49]) ).

tcf(c_209679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(s(X1),X2))
      | ( X1 = iPr_def_19 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_194424,c_181283]) ).

tcf(c_209680,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(s(X0),X1))
      | ( X0 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194424,c_188300]) ).

tcf(c_209755,plain,
    ( mem(iPr_def_10,p(e))
    | ( sK0(s(s(iPr_def_15)),p(iPr_def_21)) = s(iPr_def_15) )
    | ~ atleast3p(s(iPr_def_15))
    | ~ mem(iPr_def_15,p(e)) ),
    inference(superposition,[status(thm)],[c_209622,c_202176]) ).

tcf(c_209756,plain,
    ( atleast3p(p(e))
    | subq(p(e),s(iPr_def_15))
    | ~ atleast2p(s(iPr_def_15))
    | ~ mem(iPr_def_15,p(e)) ),
    inference(superposition,[status(thm)],[c_209622,c_65]) ).

tcf(c_209757,plain,
    ( ( s(iPr_def_15) = p(e) )
    | ~ mem(iPr_def_15,p(e))
    | ~ subq(p(e),s(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_209622,c_52]) ).

tcf(c_209766,plain,
    ( ( sK0(s(s(iPr_def_15)),p(iPr_def_21)) = s(iPr_def_15) )
    | ~ atleast3p(s(iPr_def_15))
    | ~ mem(iPr_def_15,p(e)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209755,c_203853]) ).

tcf(c_209778,plain,
    ( mem(iPr_def_10,p(e))
    | ( sK0(s(s(iPr_def_18)),p(iPr_def_21)) = s(iPr_def_18) )
    | ~ atleast3p(s(iPr_def_18))
    | ~ mem(iPr_def_18,p(e)) ),
    inference(superposition,[status(thm)],[c_209640,c_202176]) ).

tcf(c_209779,plain,
    ( atleast3p(p(e))
    | subq(p(e),s(iPr_def_18))
    | ~ atleast2p(s(iPr_def_18))
    | ~ mem(iPr_def_18,p(e)) ),
    inference(superposition,[status(thm)],[c_209640,c_65]) ).

tcf(c_209780,plain,
    ( ( s(iPr_def_18) = p(e) )
    | ~ mem(iPr_def_18,p(e))
    | ~ subq(p(e),s(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_209640,c_52]) ).

tcf(c_209789,plain,
    ( ( sK0(s(s(iPr_def_18)),p(iPr_def_21)) = s(iPr_def_18) )
    | ~ atleast3p(s(iPr_def_18))
    | ~ mem(iPr_def_18,p(e)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_209778,c_203853]) ).

tcf(c_209799,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_182838,c_49]) ).

tcf(c_209800,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X2)
      | mem(sK0(iPr_def_18,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_182838,c_51]) ).

tcf(c_209802,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,X1)
      | ( sK0(iPr_def_18,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_182838,c_55]) ).

tcf(c_209803,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X2)
      | mem(sK0(iPr_def_18,X2),X1)
      | mem(sK0(iPr_def_18,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182838,c_58]) ).

tcf(c_209804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X2)
      | ~ mem(sK0(iPr_def_18,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182838,c_61]) ).

tcf(c_209805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X2)
      | mem(sK0(iPr_def_18,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_182838,c_60]) ).

tcf(c_209806,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,X1)
      | subq(sK0(iPr_def_18,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_182838,c_63]) ).

tcf(c_209807,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | subq(sK0(iPr_def_18,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_182838,c_181002]) ).

tcf(c_209808,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182838,c_183361]) ).

tcf(c_209809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_18,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_182838,c_181021]) ).

tcf(c_209810,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_18,X0)
      | subq(iPr_def_10,sK0(iPr_def_18,X0))
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182838,c_190313]) ).

tcf(c_209811,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_18,X0) = iPr_def_10 )
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182838,c_183362]) ).

tcf(c_209812,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182838,c_181149]) ).

tcf(c_209813,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182838,c_181127]) ).

tcf(c_209814,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_18,X0)
      | subq(iPr_def_13,sK0(iPr_def_18,X0))
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182838,c_186900]) ).

tcf(c_209815,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182838,c_181150]) ).

tcf(c_209816,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_18,X0) = iPr_def_13 )
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182838,c_181023]) ).

tcf(c_209817,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_18,X0)
      | subq(iPr_def_12,sK0(iPr_def_18,X0))
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182838,c_187056]) ).

tcf(c_209818,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182838,c_181128]) ).

tcf(c_209819,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_18,X0) = iPr_def_12 )
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182838,c_181024]) ).

tcf(c_209820,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_18,X0)
      | subq(iPr_def_16,sK0(iPr_def_18,X0))
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182838,c_187496]) ).

tcf(c_209821,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182838,c_181151]) ).

tcf(c_209822,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_18,X0) = iPr_def_16 )
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182838,c_181025]) ).

tcf(c_209823,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_18,X0)
      | subq(iPr_def_19,sK0(iPr_def_18,X0))
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182838,c_187975]) ).

tcf(c_209825,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_18,X0) = iPr_def_19 )
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182838,c_181026]) ).

tcf(c_209826,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_12)
      | mem(sK0(iPr_def_18,X0),iPr_def_10)
      | ~ subq(iPr_def_21,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_182838,c_183534]) ).

tcf(c_209827,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | mem(sK0(iPr_def_18,X0),iPr_def_14)
      | mem(sK0(iPr_def_18,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182838,c_181400]) ).

tcf(c_209925,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_209799]) ).

tcf(c_209930,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_209799]) ).

tcf(c_209931,plain,
    ( subq(iPr_def_18,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_209799]) ).

tcf(c_209932,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_18,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_209799]) ).

tcf(c_209933,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_209799]) ).

tcf(c_209934,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_209799]) ).

tcf(c_209935,plain,
    ( subq(iPr_def_18,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_191569,c_209799]) ).

tcf(c_209964,plain,
    ( ( iPr_def_15 = iPr_def_18 )
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_15,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_209931,c_52]) ).

tcf(c_209965,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_209931,c_209404]) ).

tcf(c_210039,plain,
    ( ( iPr_def_15 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_209965,c_52]) ).

tcf(c_210050,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_191564,c_51]) ).

tcf(c_210052,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_55]) ).

tcf(c_210053,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | mem(e,X0)
      | ( sK0(iPr_def_14,p(u(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_58]) ).

tcf(c_210054,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(X1,X0))) = iPr_def_13 )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_191564,c_61]) ).

tcf(c_210055,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_60]) ).

tcf(c_210060,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,e)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_190313]) ).

tcf(c_210061,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_183362]) ).

tcf(c_210063,plain,
    ( mem(e,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_181127]) ).

tcf(c_210076,plain,
    sK0(iPr_def_14,p(iPr_def_20)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_189654]) ).

tcf(c_210077,plain,
    sK0(iPr_def_14,p(iPr_def_17)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_189349]) ).

tcf(c_210078,plain,
    sK0(iPr_def_14,p(iPr_def_16)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_188033]) ).

tcf(c_210079,plain,
    sK0(iPr_def_14,p(iPr_def_14)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_188023]) ).

tcf(c_210080,plain,
    sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_185745]) ).

tcf(c_210086,plain,
    ( mem(e,iPr_def_20)
    | mem(e,iPr_def_18)
    | ( sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_181402]) ).

tcf(c_210087,plain,
    sK0(iPr_def_14,p(iPr_def_15)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_186043]) ).

tcf(c_210088,plain,
    sK0(iPr_def_14,p(iPr_def_18)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191564,c_189664]) ).

tcf(c_210089,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_20,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193183]) ).

tcf(c_210090,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_12,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193412]) ).

tcf(c_210091,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_14,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193406]) ).

tcf(c_210092,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_16,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193198]) ).

tcf(c_210093,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_17,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193188]) ).

tcf(c_210094,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_15,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193417]) ).

tcf(c_210095,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_18,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193423]) ).

tcf(c_210096,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_21,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_193999]) ).

tcf(c_210105,plain,
    sK0(iPr_def_14,p(iPr_def_21)) = iPr_def_13,
    inference(forward_subsumption_resolution,[status(thm)],[c_210086,c_189654,c_189664]) ).

tcf(c_210140,plain,
    ( subq(iPr_def_14,p(iPr_def_20))
    | ~ mem(iPr_def_13,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_210076,c_49]) ).

tcf(c_210142,plain,
    ( subq(iPr_def_14,p(iPr_def_20))
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210076,c_181012]) ).

tcf(c_210145,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_210076,c_186953]) ).

tcf(c_210148,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_20))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210076,c_181283]) ).

tcf(c_210149,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_20))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210076,c_183910]) ).

tcf(c_210170,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_209933,c_52]) ).

tcf(c_210171,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_209933,c_209404]) ).

tcf(c_210172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_209933,c_186614]) ).

tcf(c_210173,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_21,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_209933,c_186601]) ).

tcf(c_210202,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_18 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_209930,c_52]) ).

tcf(c_210208,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_18),X0)
      | ( sK0(p(iPr_def_18),X0) = iPr_def_18 )
      | ( sK0(s(sK0(p(iPr_def_18),X0)),p(iPr_def_21)) = sK0(p(iPr_def_18),X0) )
      | ~ atleast3p(sK0(p(iPr_def_18),X0)) ),
    inference(superposition,[status(thm)],[c_209930,c_181359]) ).

tcf(c_210209,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_209930,c_209404]) ).

tcf(c_210210,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_209930,c_186614]) ).

tcf(c_210211,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_209930,c_186601]) ).

tcf(c_210216,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_18 )
      | ( sK0(s(X0),iPr_def_18) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_209930,c_181560]) ).

tcf(c_210259,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_18 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_209934,c_52]) ).

tcf(c_210260,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_209934,c_209404]) ).

tcf(c_210261,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_209934,c_186614]) ).

tcf(c_210262,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_209934,c_186601]) ).

tcf(c_210293,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_18 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_209932,c_52]) ).

tcf(c_210294,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_209932,c_209404]) ).

tcf(c_210295,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_209932,c_186614]) ).

tcf(c_210296,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_209932,c_186601]) ).

tcf(c_210325,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210171,c_52]) ).

tcf(c_210326,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_210171,c_183780]) ).

tcf(c_210340,plain,
    ( ( iPr_def_15 = iPr_def_18 )
    | ( sK0(s(iPr_def_15),p(iPr_def_18)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_209964]) ).

tcf(c_210347,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_194431,c_68,c_69,c_74,c_1282,c_3215,c_67932]) ).

tcf(c_210349,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X0))
      | ~ mem(iPr_def_19,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_210347,c_49]) ).

tcf(c_210351,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_10,X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_210347,c_181283]) ).

tcf(c_210352,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_210347,c_188300]) ).

tcf(c_210363,plain,
    ( subq(iPr_def_14,p(iPr_def_20))
    | ( sK0(s(iPr_def_13),p(iPr_def_20)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_210140]) ).

tcf(c_210365,plain,
    ( subq(iPr_def_14,p(iPr_def_20))
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_201862,c_210140]) ).

tcf(c_210366,plain,
    ( subq(iPr_def_14,p(iPr_def_20))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_20)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_210140]) ).

tcf(c_210367,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_20))
      | ( sK0(iPr_def_14,m(p(iPr_def_20),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_210140]) ).

tcf(c_210369,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_20))
    | ~ mem(iPr_def_20,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_210140]) ).

tcf(c_210390,plain,
    ( ( iPr_def_15 = iPr_def_16 )
    | ( sK0(s(iPr_def_15),p(iPr_def_16)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_210039]) ).

tcf(c_210399,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_19),m(iPr_def_10,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_210349]) ).

tcf(c_210400,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_10,X0))
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_59,c_210349]) ).

tcf(c_210401,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X0))
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_201860,c_210349]) ).

tcf(c_210402,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X0))
      | ( sK0(iPr_def_20,m(m(iPr_def_10,X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_210349]) ).

tcf(c_210421,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(s(X0),X1)
      | mem(X0,p(sK0(s(X0),X1))) ),
    inference(superposition,[status(thm)],[c_50,c_182858]) ).

tcf(c_210422,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(X0)) ),
    inference(superposition,[status(thm)],[c_54,c_182858]) ).

tcf(c_210423,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X1))
      | mem(X1,p(X0))
      | ( sK0(s(X0),s(X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_182860,c_182858]) ).

tcf(c_210424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(s(X0))
      | subq(m(s(X0),X1),X2)
      | mem(X0,p(sK0(m(s(X0),X1),X2))) ),
    inference(superposition,[status(thm)],[c_181173,c_182858]) ).

tcf(c_210425,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201861,c_182858]) ).

tcf(c_210426,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_16,m(s(X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_182858]) ).

tcf(c_210427,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_182858]) ).

tcf(c_210428,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_182858]) ).

tcf(c_210429,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_17,m(s(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_182858]) ).

tcf(c_210430,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_182858]) ).

tcf(c_210431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(s(X1))
      | subq(X0,X2)
      | mem(X1,p(sK0(X0,X2)))
      | ~ subq(X0,s(X1)) ),
    inference(superposition,[status(thm)],[c_181283,c_182858]) ).

tcf(c_210432,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(e))
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_182858]) ).

tcf(c_210433,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(e))
      | ( sK0(iPr_def_10,m(s(X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_182858]) ).

tcf(c_210434,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(e))
      | ( sK0(iPr_def_10,s(X0)) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_182858]) ).

tcf(c_210435,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_13))
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201862,c_182858]) ).

tcf(c_210436,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_13))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_182858]) ).

tcf(c_210437,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_13))
      | ( sK0(iPr_def_14,m(s(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_182858]) ).

tcf(c_210438,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_13))
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_182858]) ).

tcf(c_210439,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_16))
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201859,c_182858]) ).

tcf(c_210440,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_16))
      | ( sK0(iPr_def_17,m(s(X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_182858]) ).

tcf(c_210441,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast2p(s(X0))
      | mem(X0,p(iPr_def_16))
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_182858]) ).

tcf(c_210442,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_16))
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_182858]) ).

tcf(c_210443,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_19))
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201860,c_182858]) ).

tcf(c_210444,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_19))
      | ( sK0(iPr_def_20,m(s(X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_182858]) ).

tcf(c_210445,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast2p(s(X0))
      | mem(X0,p(iPr_def_19))
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_182858]) ).

tcf(c_210446,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_19))
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_182858]) ).

tcf(c_210447,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_12,X1)
      | mem(X0,p(sK0(iPr_def_12,X1)))
      | ~ subq(iPr_def_15,s(X0)) ),
    inference(superposition,[status(thm)],[c_182629,c_182858]) ).

tcf(c_210448,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_12,X1)
      | mem(X0,p(sK0(iPr_def_12,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183665,c_182858]) ).

tcf(c_210449,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_16,X1)
      | mem(X0,p(sK0(iPr_def_16,X1)))
      | ~ subq(iPr_def_18,s(X0)) ),
    inference(superposition,[status(thm)],[c_182675,c_182858]) ).

tcf(c_210450,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_18,X1)
      | mem(X0,p(sK0(iPr_def_18,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_182838,c_182858]) ).

tcf(c_210451,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_15,X1)
      | mem(X0,p(sK0(iPr_def_15,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_181299,c_182858]) ).

tcf(c_210452,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_14,X1)
      | mem(X0,p(sK0(iPr_def_14,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183910,c_182858]) ).

tcf(c_210453,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_182858]) ).

tcf(c_210454,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_201858,c_182858]) ).

tcf(c_210455,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_12,m(s(X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_182858]) ).

tcf(c_210456,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_12,s(X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_182858]) ).

tcf(c_210457,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_182858]) ).

tcf(c_210458,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(m(iPr_def_12,X1)))
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_205265,c_182858]) ).

tcf(c_210459,plain,
    ! [X0: $i] :
      ( atleast2p(s(e))
      | mem(e,p(X0))
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_656,c_182858]) ).

tcf(c_210460,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_13))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_193293,c_182858]) ).

tcf(c_210462,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_12))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_193015,c_182858]) ).

tcf(c_210464,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_16))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_192554,c_182858]) ).

tcf(c_210466,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_19))
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_666,c_182858]) ).

tcf(c_210467,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_10))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183366,c_182858]) ).

tcf(c_210494,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_16,s(X0)) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_210428,c_665]) ).

tcf(c_210525,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_16,m(s(X0),X1)) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_210426,c_665]) ).

tcf(c_210566,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_17,m(s(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_210429,c_665]) ).

tcf(c_210581,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_210427,c_665]) ).

tcf(c_210664,plain,
    ( subq(iPr_def_14,p(iPr_def_17))
    | ~ mem(iPr_def_13,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_210077,c_49]) ).

tcf(c_210666,plain,
    ( subq(iPr_def_14,p(iPr_def_17))
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210077,c_181012]) ).

tcf(c_210669,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_210077,c_186953]) ).

tcf(c_210672,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_17))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210077,c_181283]) ).

tcf(c_210673,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_17))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210077,c_183910]) ).

tcf(c_210684,plain,
    ( subq(iPr_def_14,p(iPr_def_16))
    | ~ mem(iPr_def_13,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_210078,c_49]) ).

tcf(c_210686,plain,
    ( subq(iPr_def_14,p(iPr_def_16))
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210078,c_181012]) ).

tcf(c_210689,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_210078,c_186953]) ).

tcf(c_210692,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_16))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210078,c_181283]) ).

tcf(c_210693,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_16))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210078,c_183910]) ).

tcf(c_210704,plain,
    ( subq(iPr_def_14,p(iPr_def_14))
    | ~ mem(iPr_def_13,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_210079,c_49]) ).

tcf(c_210706,plain,
    ( subq(iPr_def_14,p(iPr_def_14))
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210079,c_181012]) ).

tcf(c_210709,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_210079,c_186953]) ).

tcf(c_210712,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_14))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210079,c_181283]) ).

tcf(c_210713,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_14))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210079,c_183910]) ).

tcf(c_210764,plain,
    ( subq(iPr_def_14,p(iPr_def_15))
    | ~ mem(iPr_def_13,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_210087,c_49]) ).

tcf(c_210766,plain,
    ( subq(iPr_def_14,p(iPr_def_15))
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210087,c_181012]) ).

tcf(c_210769,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_210087,c_186953]) ).

tcf(c_210772,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_15))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210087,c_181283]) ).

tcf(c_210773,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_15))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210087,c_183910]) ).

tcf(c_210798,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210209,c_52]) ).

tcf(c_210804,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_210209,c_183780]) ).

tcf(c_210807,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_16),X0)
      | ( sK0(p(iPr_def_16),X0) = iPr_def_16 )
      | ( sK0(s(sK0(p(iPr_def_16),X0)),p(iPr_def_21)) = sK0(p(iPr_def_16),X0) )
      | ~ atleast3p(sK0(p(iPr_def_16),X0)) ),
    inference(superposition,[status(thm)],[c_210209,c_181359]) ).

tcf(c_210837,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210260,c_52]) ).

tcf(c_210838,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_210260,c_183780]) ).

tcf(c_210860,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_16 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210294,c_52]) ).

tcf(c_210861,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,sK0(p(iPr_def_21),X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_210294,c_183780]) ).

tcf(c_210890,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_12)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205522]) ).

tcf(c_210891,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_21,X0)),iPr_def_19) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(light_normalisation,[status(thm)],[c_210890,c_665]) ).

tcf(c_210915,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(s(X0),X1))
      | ( X0 = iPr_def_10 )
      | ~ mem(iPr_def_10,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_194628,c_49]) ).

tcf(c_210917,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(s(X0),X1))
      | ( X0 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194628,c_190419]) ).

tcf(c_210921,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(s(X1),X2))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_194628,c_181283]) ).

tcf(c_210922,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(s(X1),X2))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_194628,c_182629]) ).

tcf(c_210923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(s(X1),X2))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_194628,c_183665]) ).

tcf(c_210957,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,X1)
      | ~ subq(p(X0),X1) ),
    inference(superposition,[status(thm)],[c_210422,c_51]) ).

tcf(c_210959,plain,
    ( atleast2p(p(iPr_def_12))
    | atleast2p(s(iPr_def_12))
    | subq(p(iPr_def_12),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_210422,c_181263]) ).

tcf(c_210960,plain,
    ( atleast2p(iPr_def_19)
    | atleast2p(iPr_def_16)
    | subq(iPr_def_19,iPr_def_19) ),
    inference(light_normalisation,[status(thm)],[c_210959,c_665,c_193015]) ).

tcf(c_210968,plain,
    ( subq(iPr_def_14,p(iPr_def_17))
    | ( sK0(s(iPr_def_13),p(iPr_def_17)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_210664]) ).

tcf(c_210970,plain,
    ( subq(iPr_def_14,p(iPr_def_17))
    | ( sK0(s(p(iPr_def_17)),p(iPr_def_21)) = p(iPr_def_17) )
    | ~ atleast3p(p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_201862,c_210664]) ).

tcf(c_210971,plain,
    ( subq(iPr_def_14,p(iPr_def_17))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_17)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_210664]) ).

tcf(c_210972,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_17))
      | ( sK0(iPr_def_14,m(p(iPr_def_17),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_210664]) ).

tcf(c_210974,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_17))
    | ~ mem(iPr_def_17,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_210664]) ).

tcf(c_211025,plain,
    ( subq(iPr_def_14,p(iPr_def_16))
    | ( sK0(s(iPr_def_13),p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_210684]) ).

tcf(c_211028,plain,
    ( subq(iPr_def_14,p(iPr_def_16))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_16)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_210684]) ).

tcf(c_211029,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_16))
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_210684]) ).

tcf(c_211031,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_16))
    | ~ mem(iPr_def_16,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_210684]) ).

tcf(c_211047,plain,
    ( subq(iPr_def_14,p(iPr_def_14))
    | ( sK0(s(iPr_def_13),p(iPr_def_14)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_210704]) ).

tcf(c_211049,plain,
    ( subq(iPr_def_14,p(iPr_def_14))
    | ( sK0(s(p(iPr_def_14)),p(iPr_def_21)) = p(iPr_def_14) )
    | ~ atleast3p(p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_201862,c_210704]) ).

tcf(c_211050,plain,
    ( subq(iPr_def_14,p(iPr_def_14))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_14)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_210704]) ).

tcf(c_211051,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_14))
      | ( sK0(iPr_def_14,m(p(iPr_def_14),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_210704]) ).

tcf(c_211053,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_14))
    | ~ mem(iPr_def_14,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_210704]) ).

tcf(c_211090,plain,
    ( subq(iPr_def_14,p(iPr_def_18))
    | ~ mem(iPr_def_13,p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_210088,c_49]) ).

tcf(c_211092,plain,
    ( subq(iPr_def_14,p(iPr_def_18))
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_210088,c_181012]) ).

tcf(c_211095,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_210088,c_186953]) ).

tcf(c_211098,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_18))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210088,c_181283]) ).

tcf(c_211099,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_18))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210088,c_183910]) ).

tcf(c_211110,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ~ mem(iPr_def_13,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_210105,c_49]) ).

tcf(c_211112,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_210105,c_181012]) ).

tcf(c_211115,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_210105,c_186953]) ).

tcf(c_211118,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_21))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210105,c_181283]) ).

tcf(c_211119,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210105,c_183910]) ).

tcf(c_211139,plain,
    ( atleast3p(p(iPr_def_20))
    | subq(p(iPr_def_20),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210142,c_65]) ).

tcf(c_211140,plain,
    ( ( p(iPr_def_20) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_20)
    | ~ subq(p(iPr_def_20),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210142,c_52]) ).

tcf(c_211141,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_20))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210142,c_186343]) ).

tcf(c_211142,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_20))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210142,c_186324]) ).

tcf(c_211143,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_20))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210142,c_186305]) ).

tcf(c_211144,plain,
    ( mem(iPr_def_13,p(iPr_def_20))
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210142,c_181290]) ).

tcf(c_211202,plain,
    ( atleast3p(p(iPr_def_17))
    | subq(p(iPr_def_17),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210666,c_65]) ).

tcf(c_211203,plain,
    ( ( p(iPr_def_17) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_17)
    | ~ subq(p(iPr_def_17),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210666,c_52]) ).

tcf(c_211204,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_17))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210666,c_186343]) ).

tcf(c_211205,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_17))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210666,c_186324]) ).

tcf(c_211206,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_17))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210666,c_186305]) ).

tcf(c_211207,plain,
    ( mem(iPr_def_13,p(iPr_def_17))
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210666,c_181290]) ).

tcf(c_211260,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_15)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_205628]) ).

tcf(c_211277,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_18 )
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_18)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_210170]) ).

tcf(c_211286,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(iPr_def_10,X0)) = iPr_def_10,
    inference(global_subsumption_just,[status(thm)],[c_194635,c_68,c_69,c_74,c_1178,c_2683,c_194635]) ).

tcf(c_211289,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ~ mem(iPr_def_10,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_211286,c_49]) ).

tcf(c_211291,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_211286,c_190419]) ).

tcf(c_211295,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_10,X1))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_211286,c_181283]) ).

tcf(c_211296,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_10,X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_211286,c_182629]) ).

tcf(c_211297,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_10,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_211286,c_183665]) ).

tcf(c_211314,plain,
    ( subq(iPr_def_14,p(iPr_def_15))
    | ( sK0(s(iPr_def_13),p(iPr_def_15)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_210764]) ).

tcf(c_211316,plain,
    ( subq(iPr_def_14,p(iPr_def_15))
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) )
    | ~ atleast3p(p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_201862,c_210764]) ).

tcf(c_211317,plain,
    ( subq(iPr_def_14,p(iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_15)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_210764]) ).

tcf(c_211318,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_15))
      | ( sK0(iPr_def_14,m(p(iPr_def_15),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_210764]) ).

tcf(c_211320,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_210764]) ).

tcf(c_211366,plain,
    ( subq(iPr_def_14,p(iPr_def_18))
    | ( sK0(s(iPr_def_13),p(iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_211090]) ).

tcf(c_211368,plain,
    ( subq(iPr_def_14,p(iPr_def_18))
    | ( sK0(s(p(iPr_def_18)),p(iPr_def_21)) = p(iPr_def_18) )
    | ~ atleast3p(p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_201862,c_211090]) ).

tcf(c_211369,plain,
    ( subq(iPr_def_14,p(iPr_def_18))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_18)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_211090]) ).

tcf(c_211370,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_18))
      | ( sK0(iPr_def_14,m(p(iPr_def_18),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_211090]) ).

tcf(c_211372,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_18))
    | ~ mem(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_211090]) ).

tcf(c_211391,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_211110]) ).

tcf(c_211393,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ( sK0(s(p(iPr_def_21)),p(iPr_def_21)) = p(iPr_def_21) )
    | ~ atleast3p(p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201862,c_211110]) ).

tcf(c_211394,plain,
    ( subq(iPr_def_14,p(iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_21)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_211110]) ).

tcf(c_211395,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_21))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_211110]) ).

tcf(c_211397,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_211110]) ).

tcf(c_211418,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,X1)
      | ( sK0(s(p(X0)),p(X1)) = p(X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_210957]) ).

tcf(c_211419,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(X1))
      | atleast2p(s(X1))
      | mem(X1,p(X0))
      | ~ mem(X0,p(X1)) ),
    inference(superposition,[status(thm)],[c_64,c_210957]) ).

tcf(c_211421,plain,
    ! [X0: $i] :
      ( atleast2p(p(X0))
      | atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(s(p(X0)),p(iPr_def_21)) = p(X0) )
      | ~ atleast3p(p(X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_210957]) ).

tcf(c_211422,plain,
    ! [X0: $i] :
      ( atleast2p(p(X0))
      | atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_210957]) ).

tcf(c_211423,plain,
    ! [X0: $i] :
      ( atleast2p(p(X0))
      | atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_185359,c_210957]) ).

tcf(c_211495,plain,
    ( atleast3p(p(iPr_def_16))
    | subq(p(iPr_def_16),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210686,c_65]) ).

tcf(c_211496,plain,
    ( ( p(iPr_def_16) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_16)
    | ~ subq(p(iPr_def_16),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210686,c_52]) ).

tcf(c_211497,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_16))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210686,c_186343]) ).

tcf(c_211498,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_16))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210686,c_186324]) ).

tcf(c_211499,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_16))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210686,c_186305]) ).

tcf(c_211500,plain,
    ( mem(iPr_def_13,p(iPr_def_16))
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210686,c_181290]) ).

tcf(c_211503,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_211499,c_192574]) ).

tcf(c_211531,plain,
    ( atleast3p(p(iPr_def_14))
    | subq(p(iPr_def_14),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_65]) ).

tcf(c_211532,plain,
    ( ( p(iPr_def_14) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_14)
    | ~ subq(p(iPr_def_14),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_52]) ).

tcf(c_211533,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_14))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_186343]) ).

tcf(c_211534,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_14))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_186324]) ).

tcf(c_211535,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_14))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_186305]) ).

tcf(c_211536,plain,
    ( mem(iPr_def_13,p(iPr_def_14))
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_181290]) ).

tcf(c_211567,plain,
    ( atleast3p(p(iPr_def_15))
    | subq(p(iPr_def_15),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210766,c_65]) ).

tcf(c_211568,plain,
    ( ( p(iPr_def_15) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_15)
    | ~ subq(p(iPr_def_15),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210766,c_52]) ).

tcf(c_211569,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210766,c_186343]) ).

tcf(c_211570,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210766,c_186324]) ).

tcf(c_211571,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210766,c_186305]) ).

tcf(c_211572,plain,
    ( mem(iPr_def_13,p(iPr_def_15))
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210766,c_181290]) ).

tcf(c_211614,plain,
    ( atleast3p(p(iPr_def_18))
    | subq(p(iPr_def_18),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_211092,c_65]) ).

tcf(c_211615,plain,
    ( ( p(iPr_def_18) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_18)
    | ~ subq(p(iPr_def_18),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_211092,c_52]) ).

tcf(c_211616,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_211092,c_186343]) ).

tcf(c_211617,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_211092,c_186324]) ).

tcf(c_211618,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_211092,c_186305]) ).

tcf(c_211619,plain,
    ( mem(iPr_def_13,p(iPr_def_18))
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_211092,c_181290]) ).

tcf(c_211666,plain,
    ( ( p(iPr_def_14) = iPr_def_20 )
    | ( sK0(s(p(iPr_def_14)),p(iPr_def_21)) = p(iPr_def_14) )
    | ~ atleast3p(p(iPr_def_14))
    | ~ subq(p(iPr_def_14),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_206109,c_52]) ).

tcf(c_211667,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,p(iPr_def_14))
    | ( sK0(s(p(iPr_def_14)),p(iPr_def_21)) = p(iPr_def_14) )
    | ~ atleast3p(p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_206109,c_186589]) ).

tcf(c_211668,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_14))
    | ( sK0(s(p(iPr_def_14)),p(iPr_def_21)) = p(iPr_def_14) )
    | ~ atleast3p(p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_206109,c_186577]) ).

tcf(c_211669,plain,
    ( mem(iPr_def_19,p(iPr_def_14))
    | ( sK0(s(p(iPr_def_14)),p(iPr_def_21)) = p(iPr_def_14) )
    | ~ atleast3p(p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_206109,c_181293]) ).

tcf(c_211720,plain,
    ( ( p(iPr_def_17) = iPr_def_20 )
    | ( sK0(s(p(iPr_def_17)),p(iPr_def_21)) = p(iPr_def_17) )
    | ~ atleast3p(p(iPr_def_17))
    | ~ subq(p(iPr_def_17),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_206710,c_52]) ).

tcf(c_211721,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,p(iPr_def_17))
    | ( sK0(s(p(iPr_def_17)),p(iPr_def_21)) = p(iPr_def_17) )
    | ~ atleast3p(p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_206710,c_186589]) ).

tcf(c_211722,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_17))
    | ( sK0(s(p(iPr_def_17)),p(iPr_def_21)) = p(iPr_def_17) )
    | ~ atleast3p(p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_206710,c_186577]) ).

tcf(c_211723,plain,
    ( mem(iPr_def_19,p(iPr_def_17))
    | ( sK0(s(p(iPr_def_17)),p(iPr_def_21)) = p(iPr_def_17) )
    | ~ atleast3p(p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_206710,c_181293]) ).

tcf(c_211754,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_10),m(iPr_def_10,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_211289]) ).

tcf(c_211755,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_10,X0))
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_59,c_211289]) ).

tcf(c_211756,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_211289]) ).

tcf(c_211757,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_201858,c_211289]) ).

tcf(c_211758,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(iPr_def_12,m(m(iPr_def_10,X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_211289]) ).

tcf(c_211789,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | mem(sK0(iPr_def_10,X1),X0)
      | ~ subq(iPr_def_10,X0) ),
    inference(light_normalisation,[status(thm)],[c_182885,c_183322]) ).

tcf(c_211797,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,s(X1))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_189951,c_183073]) ).

tcf(c_211799,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(e))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_203798,c_183073]) ).

tcf(c_211800,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_189973,c_183073]) ).

tcf(c_211801,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_17)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_189970,c_183073]) ).

tcf(c_211802,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_189967,c_183073]) ).

tcf(c_211803,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_14)
      | mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_189964,c_183073]) ).

tcf(c_211805,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_10,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_211286,c_183073]) ).

tcf(c_211806,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(s(X1),X2))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_194628,c_183073]) ).

tcf(c_211807,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(e),X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_203858,c_183073]) ).

tcf(c_211808,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183073,c_49]) ).

tcf(c_211809,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_13,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183073,c_51]) ).

tcf(c_211811,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_12,X1)
      | mem(X0,p(sK0(iPr_def_12,X1)))
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_183073,c_182858]) ).

tcf(c_211812,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_12,X1) = X0 )
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_183073,c_55]) ).

tcf(c_211813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X1)
      | mem(sK0(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_13,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183073,c_58]) ).

tcf(c_211814,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | ~ mem(sK0(iPr_def_12,X2),X1)
      | ~ subq(iPr_def_13,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183073,c_61]) ).

tcf(c_211815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X2)
      | mem(sK0(iPr_def_12,X2),X0)
      | ~ subq(iPr_def_13,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183073,c_60]) ).

tcf(c_211816,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | subq(sK0(iPr_def_12,X1),X0)
      | ~ subq(iPr_def_13,p(X0)) ),
    inference(superposition,[status(thm)],[c_183073,c_63]) ).

tcf(c_211817,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | subq(sK0(iPr_def_12,X0),iPr_def_12)
      | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183073,c_181002]) ).

tcf(c_211819,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = e )
      | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183073,c_181021]) ).

tcf(c_211824,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_13,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183073,c_186900]) ).

tcf(c_211826,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_13 )
      | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183073,c_181023]) ).

tcf(c_211827,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_12,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183073,c_187056]) ).

tcf(c_211828,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183073,c_181128]) ).

tcf(c_211829,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_12 )
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183073,c_181024]) ).

tcf(c_211830,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_16,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183073,c_187496]) ).

tcf(c_211831,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183073,c_181151]) ).

tcf(c_211832,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_16 )
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183073,c_181025]) ).

tcf(c_211833,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_19,sK0(iPr_def_12,X0))
      | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183073,c_187975]) ).

tcf(c_211835,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_19 )
      | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183073,c_181026]) ).

tcf(c_211839,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | mem(sK0(iPr_def_12,X0),iPr_def_17)
      | mem(sK0(iPr_def_12,X0),iPr_def_16)
      | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183073,c_181401]) ).

tcf(c_212069,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_211808]) ).

tcf(c_212074,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_211808]) ).

tcf(c_212075,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188405,c_211808]) ).

tcf(c_212076,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_12,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186960,c_211808]) ).

tcf(c_212077,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_12,sK0(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_186953,c_211808]) ).

tcf(c_212111,plain,
    ( atleast3p(p(iPr_def_21))
    | subq(p(iPr_def_21),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_211112,c_65]) ).

tcf(c_212112,plain,
    ( ( p(iPr_def_21) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_21)
    | ~ subq(p(iPr_def_21),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_211112,c_52]) ).

tcf(c_212113,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_211112,c_186343]) ).

tcf(c_212114,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_211112,c_186324]) ).

tcf(c_212115,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_211112,c_186305]) ).

tcf(c_212116,plain,
    ( mem(iPr_def_13,p(iPr_def_21))
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_211112,c_181290]) ).

tcf(c_212155,plain,
    ( ( p(iPr_def_20) = iPr_def_20 )
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20))
    | ~ subq(p(iPr_def_20),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_206750,c_52]) ).

tcf(c_212156,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,p(iPr_def_20))
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_206750,c_186589]) ).

tcf(c_212157,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_20))
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_206750,c_186577]) ).

tcf(c_212158,plain,
    ( mem(iPr_def_19,p(iPr_def_20))
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_206750,c_181293]) ).

tcf(c_212186,plain,
    ( ( p(iPr_def_18) = iPr_def_20 )
    | ( sK0(s(p(iPr_def_18)),p(iPr_def_21)) = p(iPr_def_18) )
    | ~ atleast3p(p(iPr_def_18))
    | ~ subq(p(iPr_def_18),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_207683,c_52]) ).

tcf(c_212187,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,p(iPr_def_18))
    | ( sK0(s(p(iPr_def_18)),p(iPr_def_21)) = p(iPr_def_18) )
    | ~ atleast3p(p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_207683,c_186589]) ).

tcf(c_212188,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_18))
    | ( sK0(s(p(iPr_def_18)),p(iPr_def_21)) = p(iPr_def_18) )
    | ~ atleast3p(p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_207683,c_186577]) ).

tcf(c_212189,plain,
    ( mem(iPr_def_19,p(iPr_def_18))
    | ( sK0(s(p(iPr_def_18)),p(iPr_def_21)) = p(iPr_def_18) )
    | ~ atleast3p(p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_207683,c_181293]) ).

tcf(c_212236,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,s(X1))
      | ( X1 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187125,c_183082]) ).

tcf(c_212238,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(e))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_195968,c_183082]) ).

tcf(c_212239,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_12)
      | mem(iPr_def_13,X0)
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187133,c_183082]) ).

tcf(c_212240,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_20)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187144,c_183082]) ).

tcf(c_212241,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_17)
      | mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187142,c_183082]) ).

tcf(c_212242,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_16)
      | mem(iPr_def_13,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_187140,c_183082]) ).

tcf(c_212244,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( s(X1) = iPr_def_13 )
      | ( sK0(s(X1),iPr_def_13) = X1 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_191565,c_183082]) ).

tcf(c_212245,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_20))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210076,c_183082]) ).

tcf(c_212246,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_17))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210077,c_183082]) ).

tcf(c_212247,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_16))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210078,c_183082]) ).

tcf(c_212248,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_14))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210079,c_183082]) ).

tcf(c_212249,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_10))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_191568,c_183082]) ).

tcf(c_212250,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(p(e)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_208022,c_183082]) ).

tcf(c_212251,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_21))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210105,c_183082]) ).

tcf(c_212252,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(s(X1),X2))
      | ( X1 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_193585,c_183082]) ).

tcf(c_212253,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_10,X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_206064,c_183082]) ).

tcf(c_212254,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(e),X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_195987,c_183082]) ).

tcf(c_212255,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_18))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210088,c_183082]) ).

tcf(c_212256,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_15))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210087,c_183082]) ).

tcf(c_212257,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_19))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_208031,c_183082]) ).

tcf(c_212258,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_183082,c_49]) ).

tcf(c_212259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | mem(sK0(iPr_def_14,X2),X1)
      | ~ subq(iPr_def_15,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183082,c_51]) ).

tcf(c_212261,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_14,X1)
      | mem(X0,p(sK0(iPr_def_14,X1)))
      | ~ subq(iPr_def_15,s(X0)) ),
    inference(superposition,[status(thm)],[c_183082,c_182858]) ).

tcf(c_212262,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | ( sK0(iPr_def_14,X1) = X0 )
      | ~ subq(iPr_def_15,s(X0)) ),
    inference(superposition,[status(thm)],[c_183082,c_55]) ).

tcf(c_212263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | mem(sK0(iPr_def_14,X2),X1)
      | mem(sK0(iPr_def_14,X2),X0)
      | ~ subq(iPr_def_15,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183082,c_58]) ).

tcf(c_212264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | ~ mem(sK0(iPr_def_14,X2),X1)
      | ~ subq(iPr_def_15,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183082,c_61]) ).

tcf(c_212265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X2)
      | mem(sK0(iPr_def_14,X2),X0)
      | ~ subq(iPr_def_15,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183082,c_60]) ).

tcf(c_212266,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | subq(sK0(iPr_def_14,X1),X0)
      | ~ subq(iPr_def_15,p(X0)) ),
    inference(superposition,[status(thm)],[c_183082,c_63]) ).

tcf(c_212267,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | subq(sK0(iPr_def_14,X0),iPr_def_12)
      | ~ subq(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183082,c_181002]) ).

tcf(c_212268,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_13)
      | ~ subq(iPr_def_15,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183082,c_183361]) ).

tcf(c_212269,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = e )
      | ~ subq(iPr_def_15,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183082,c_181021]) ).

tcf(c_212270,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_10,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_15,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183082,c_190313]) ).

tcf(c_212271,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_10 )
      | ~ subq(iPr_def_15,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183082,c_183362]) ).

tcf(c_212272,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_13)
      | ~ subq(iPr_def_15,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183082,c_181149]) ).

tcf(c_212277,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_12,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183082,c_187056]) ).

tcf(c_212278,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_18)
      | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183082,c_181128]) ).

tcf(c_212279,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_12 )
      | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183082,c_181024]) ).

tcf(c_212280,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_16,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183082,c_187496]) ).

tcf(c_212281,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_18)
      | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183082,c_181151]) ).

tcf(c_212282,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_16 )
      | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183082,c_181025]) ).

tcf(c_212283,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_19,sK0(iPr_def_14,X0))
      | ~ subq(iPr_def_15,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183082,c_187975]) ).

tcf(c_212285,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_19 )
      | ~ subq(iPr_def_15,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183082,c_181026]) ).

tcf(c_212286,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_12)
      | mem(sK0(iPr_def_14,X0),iPr_def_10)
      | ~ subq(iPr_def_15,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183082,c_183534]) ).

tcf(c_212289,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | mem(sK0(iPr_def_14,X0),iPr_def_17)
      | mem(sK0(iPr_def_14,X0),iPr_def_16)
      | ~ subq(iPr_def_15,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183082,c_181401]) ).

tcf(c_212549,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(s(iPr_def_15),p(X0)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_212258]) ).

tcf(c_212556,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_14,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183089,c_212258]) ).

tcf(c_212570,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,s(X1))
      | ( X1 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187544,c_183103]) ).

tcf(c_212572,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(e))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_201116,c_183103]) ).

tcf(c_212573,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187552,c_183103]) ).

tcf(c_212575,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_16)
      | mem(iPr_def_16,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187560,c_183103]) ).

tcf(c_212576,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_187557,c_183103]) ).

tcf(c_212577,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(s(X1),X2))
      | ( X1 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_194162,c_183103]) ).

tcf(c_212578,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(iPr_def_10,X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_209306,c_183103]) ).

tcf(c_212579,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(p(e),X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_201133,c_183103]) ).

tcf(c_212580,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_183103,c_49]) ).

tcf(c_212581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | mem(sK0(iPr_def_17,X2),X1)
      | ~ subq(iPr_def_18,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183103,c_51]) ).

tcf(c_212583,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_17,X1)
      | mem(X0,p(sK0(iPr_def_17,X1)))
      | ~ subq(iPr_def_18,s(X0)) ),
    inference(superposition,[status(thm)],[c_183103,c_182858]) ).

tcf(c_212584,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | ( sK0(iPr_def_17,X1) = X0 )
      | ~ subq(iPr_def_18,s(X0)) ),
    inference(superposition,[status(thm)],[c_183103,c_55]) ).

tcf(c_212585,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | mem(sK0(iPr_def_17,X2),X1)
      | mem(sK0(iPr_def_17,X2),X0)
      | ~ subq(iPr_def_18,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183103,c_58]) ).

tcf(c_212586,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | ~ mem(sK0(iPr_def_17,X2),X1)
      | ~ subq(iPr_def_18,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183103,c_61]) ).

tcf(c_212587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | mem(sK0(iPr_def_17,X2),X0)
      | ~ subq(iPr_def_18,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183103,c_60]) ).

tcf(c_212588,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | subq(sK0(iPr_def_17,X1),X0)
      | ~ subq(iPr_def_18,p(X0)) ),
    inference(superposition,[status(thm)],[c_183103,c_63]) ).

tcf(c_212589,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | subq(sK0(iPr_def_17,X0),iPr_def_12)
      | ~ subq(iPr_def_18,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183103,c_181002]) ).

tcf(c_212590,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_13)
      | ~ subq(iPr_def_18,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183103,c_183361]) ).

tcf(c_212591,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = e )
      | ~ subq(iPr_def_18,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183103,c_181021]) ).

tcf(c_212592,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_10,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183103,c_190313]) ).

tcf(c_212593,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_10 )
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183103,c_183362]) ).

tcf(c_212594,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_13)
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183103,c_181149]) ).

tcf(c_212595,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_15)
      | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183103,c_181127]) ).

tcf(c_212596,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_13,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183103,c_186900]) ).

tcf(c_212597,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_15)
      | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183103,c_181150]) ).

tcf(c_212598,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_13 )
      | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183103,c_181023]) ).

tcf(c_212599,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_12,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_18,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183103,c_187056]) ).

tcf(c_212601,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_12 )
      | ~ subq(iPr_def_18,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183103,c_181024]) ).

tcf(c_212605,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_19,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_18,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183103,c_187975]) ).

tcf(c_212607,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_19 )
      | ~ subq(iPr_def_18,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183103,c_181026]) ).

tcf(c_212608,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_12)
      | mem(sK0(iPr_def_17,X0),iPr_def_10)
      | ~ subq(iPr_def_18,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183103,c_183534]) ).

tcf(c_212609,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_14)
      | mem(sK0(iPr_def_17,X0),iPr_def_12)
      | ~ subq(iPr_def_18,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183103,c_181400]) ).

tcf(c_212797,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_212580]) ).

tcf(c_212800,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_209930,c_212580]) ).

tcf(c_212805,plain,
    ( subq(iPr_def_17,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183115,c_212580]) ).

tcf(c_212806,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_209933,c_212580]) ).

tcf(c_212807,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_209931,c_212580]) ).

tcf(c_212808,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_17,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_209932,c_212580]) ).

tcf(c_212809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_209934,c_212580]) ).

tcf(c_212888,plain,
    ( ( iPr_def_15 = iPr_def_17 )
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_212807,c_52]) ).

tcf(c_212908,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_17 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_212806,c_52]) ).

tcf(c_212909,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_21,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_212806,c_193464]) ).

tcf(c_212910,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_21,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_212806,c_193438]) ).

tcf(c_212911,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_212806,c_189330]) ).

tcf(c_212912,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_212806,c_183155]) ).

tcf(c_212944,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_212800,c_52]) ).

tcf(c_212950,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_212800,c_193464]) ).

tcf(c_212951,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_212800,c_193438]) ).

tcf(c_212952,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_212800,c_189330]) ).

tcf(c_212953,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_212800,c_183155]) ).

tcf(c_212955,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_17),X0)
      | ( sK0(p(iPr_def_17),X0) = iPr_def_17 )
      | ( sK0(s(sK0(p(iPr_def_17),X0)),p(iPr_def_21)) = sK0(p(iPr_def_17),X0) )
      | ~ atleast3p(sK0(p(iPr_def_17),X0)) ),
    inference(superposition,[status(thm)],[c_212800,c_181359]) ).

tcf(c_212956,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( sK0(s(X0),iPr_def_17) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_212800,c_181560]) ).

tcf(c_213025,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_17 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_212809,c_52]) ).

tcf(c_213026,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_212809,c_193464]) ).

tcf(c_213027,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_212809,c_193438]) ).

tcf(c_213028,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_212809,c_189330]) ).

tcf(c_213029,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_212809,c_183155]) ).

tcf(c_213079,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_17 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_212808,c_52]) ).

tcf(c_213080,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_212808,c_193464]) ).

tcf(c_213081,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_212808,c_193438]) ).

tcf(c_213082,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_212808,c_189330]) ).

tcf(c_213083,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,sK0(p(iPr_def_21),X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_212808,c_183155]) ).

tcf(c_213127,plain,
    ( ( iPr_def_15 = iPr_def_17 )
    | ( sK0(s(iPr_def_15),p(iPr_def_17)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_212888]) ).

tcf(c_213146,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,s(X1))
      | ( X1 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187678,c_183272]) ).

tcf(c_213148,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(e))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_202940,c_183272]) ).

tcf(c_213149,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187686,c_183272]) ).

tcf(c_213150,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( iPr_def_12 = iPr_def_20 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_200617,c_183272]) ).

tcf(c_213153,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_14)
      | mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187691,c_183272]) ).

tcf(c_213155,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ( s(X1) = iPr_def_19 )
      | ( sK0(s(X1),iPr_def_19) = X1 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_192249,c_183272]) ).

tcf(c_213156,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_20))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206313,c_183272]) ).

tcf(c_213157,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_17))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_205978,c_183272]) ).

tcf(c_213158,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_16))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_192250,c_183272]) ).

tcf(c_213159,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_14))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_205966,c_183272]) ).

tcf(c_213160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(s(X1),X2))
      | ( X1 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_194424,c_183272]) ).

tcf(c_213161,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_19,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_194479,c_183272]) ).

tcf(c_213162,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_10,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210347,c_183272]) ).

tcf(c_213163,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(e),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_202957,c_183272]) ).

tcf(c_213164,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_16),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_194458,c_183272]) ).

tcf(c_213165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_18))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_207664,c_183272]) ).

tcf(c_213166,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183272,c_49]) ).

tcf(c_213167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X2)
      | mem(sK0(iPr_def_20,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183272,c_51]) ).

tcf(c_213169,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_20,X1)
      | mem(X0,p(sK0(iPr_def_20,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183272,c_182858]) ).

tcf(c_213170,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X1)
      | ( sK0(iPr_def_20,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183272,c_55]) ).

tcf(c_213171,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X2)
      | mem(sK0(iPr_def_20,X2),X1)
      | mem(sK0(iPr_def_20,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183272,c_58]) ).

tcf(c_213172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X2)
      | ~ mem(sK0(iPr_def_20,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183272,c_61]) ).

tcf(c_213173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X2)
      | mem(sK0(iPr_def_20,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183272,c_60]) ).

tcf(c_213174,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X1)
      | subq(sK0(iPr_def_20,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_183272,c_63]) ).

tcf(c_213175,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | subq(sK0(iPr_def_20,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183272,c_181002]) ).

tcf(c_213176,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183272,c_183361]) ).

tcf(c_213177,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183272,c_181021]) ).

tcf(c_213178,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_10,sK0(iPr_def_20,X0))
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183272,c_190313]) ).

tcf(c_213179,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_10 )
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183272,c_183362]) ).

tcf(c_213180,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183272,c_181149]) ).

tcf(c_213181,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183272,c_181127]) ).

tcf(c_213182,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_13,sK0(iPr_def_20,X0))
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183272,c_186900]) ).

tcf(c_213183,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183272,c_181150]) ).

tcf(c_213184,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_13 )
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183272,c_181023]) ).

tcf(c_213185,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_12,sK0(iPr_def_20,X0))
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183272,c_187056]) ).

tcf(c_213186,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183272,c_181128]) ).

tcf(c_213187,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_12 )
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183272,c_181024]) ).

tcf(c_213188,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_16,sK0(iPr_def_20,X0))
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183272,c_187496]) ).

tcf(c_213189,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_18)
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183272,c_181151]) ).

tcf(c_213190,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,X0) = iPr_def_16 )
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183272,c_181025]) ).

tcf(c_213194,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_12)
      | mem(sK0(iPr_def_20,X0),iPr_def_10)
      | ~ subq(iPr_def_21,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183272,c_183534]) ).

tcf(c_213195,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_14)
      | mem(sK0(iPr_def_20,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183272,c_181400]) ).

tcf(c_213197,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | mem(sK0(iPr_def_20,X0),iPr_def_17)
      | mem(sK0(iPr_def_20,X0),iPr_def_16)
      | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183272,c_181401]) ).

tcf(c_213441,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_213166]) ).

tcf(c_213446,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201240,c_213166]) ).

tcf(c_213447,plain,
    ( subq(iPr_def_20,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181231,c_213166]) ).

tcf(c_213448,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_20,sK0(p(iPr_def_21),X0))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181113,c_213166]) ).

tcf(c_213449,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_21,X0))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205219,c_213166]) ).

tcf(c_213450,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206160,c_213166]) ).

tcf(c_213527,plain,
    ( ( iPr_def_15 = iPr_def_20 )
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_15,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_213447,c_52]) ).

tcf(c_213539,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_191646,c_51]) ).

tcf(c_213541,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_16,p(s(X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_182858]) ).

tcf(c_213542,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_16,p(s(X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_55]) ).

tcf(c_213543,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(u(X0,X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_58]) ).

tcf(c_213544,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,p(m(X1,X0))) = iPr_def_12 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_191646,c_61]) ).

tcf(c_213545,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(m(X0,X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_60]) ).

tcf(c_213546,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_63]) ).

tcf(c_213547,plain,
    ( subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_16,p(iPr_def_19)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181002]) ).

tcf(c_213549,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_16,p(iPr_def_10)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181021]) ).

tcf(c_213550,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_16,p(iPr_def_12)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_190313]) ).

tcf(c_213554,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_16,p(iPr_def_14)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_186900]) ).

tcf(c_213556,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_16,p(iPr_def_14)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181023]) ).

tcf(c_213557,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(iPr_def_16)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_187056]) ).

tcf(c_213558,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_16,p(iPr_def_16)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181128]) ).

tcf(c_213559,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_16,p(iPr_def_16)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181024]) ).

tcf(c_213560,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(iPr_def_17)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_187496]) ).

tcf(c_213561,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_16,p(iPr_def_17)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181151]) ).

tcf(c_213562,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_16,p(iPr_def_17)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181025]) ).

tcf(c_213563,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(iPr_def_20)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_187975]) ).

tcf(c_213565,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_16,p(iPr_def_20)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181026]) ).

tcf(c_213569,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | ( sK0(iPr_def_16,p(iPr_def_18)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_181401]) ).

tcf(c_213573,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(iPr_def_10)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_194975]) ).

tcf(c_213574,plain,
    sK0(iPr_def_16,p(p(e))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_191646,c_203853]) ).

tcf(c_213575,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(iPr_def_16,p(m(iPr_def_10,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_211289]) ).

tcf(c_213584,plain,
    sK0(iPr_def_16,p(iPr_def_19)) = iPr_def_12,
    inference(forward_subsumption_resolution,[status(thm)],[c_213547,c_194794]) ).

tcf(c_213609,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_16,iPr_def_19) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_213550,c_665]) ).

tcf(c_213672,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ~ mem(iPr_def_12,p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_213584,c_49]) ).

tcf(c_213674,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ~ subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_213584,c_181012]) ).

tcf(c_213675,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_213584,c_187457]) ).

tcf(c_213678,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_19))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213584,c_181283]) ).

tcf(c_213679,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_19))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213584,c_182675]) ).

tcf(c_213810,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_20 )
      | ~ atleast3p(m(iPr_def_21,X0))
      | ~ subq(m(iPr_def_21,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_213449,c_52]) ).

tcf(c_213885,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_213446,c_52]) ).

tcf(c_213891,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_20),X0)
      | ( sK0(p(iPr_def_20),X0) = iPr_def_20 )
      | ( sK0(s(sK0(p(iPr_def_20),X0)),p(iPr_def_21)) = sK0(p(iPr_def_20),X0) )
      | ~ atleast3p(sK0(p(iPr_def_20),X0)) ),
    inference(superposition,[status(thm)],[c_213446,c_181359]) ).

tcf(c_213895,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( sK0(s(X0),iPr_def_20) = X0 )
      | ( sK0(s(s(X0)),p(iPr_def_21)) = s(X0) )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_213446,c_181560]) ).

tcf(c_213925,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_20 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_213450,c_52]) ).

tcf(c_213945,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_20 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ~ subq(sK0(p(iPr_def_21),X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_213448,c_52]) ).

tcf(c_213959,plain,
    ( ( iPr_def_15 = iPr_def_20 )
    | ( sK0(s(iPr_def_15),p(iPr_def_20)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_213527]) ).

tcf(c_213970,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_20 )
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_20)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_213810]) ).

tcf(c_213983,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_12,X0)),p(X1)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_206606]) ).

tcf(c_213984,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_12,X1))
      | mem(iPr_def_10,p(X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_206606]) ).

tcf(c_213986,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_206606]) ).

tcf(c_213987,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_206606]) ).

tcf(c_213989,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_206606]) ).

tcf(c_214027,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_12,X0)),p(X1)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_206622]) ).

tcf(c_214028,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_12,X1))
      | mem(iPr_def_16,p(X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_206622]) ).

tcf(c_214030,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_206622]) ).

tcf(c_214031,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_206622]) ).

tcf(c_214033,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_206622]) ).

tcf(c_214067,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ( sK0(s(iPr_def_12),p(iPr_def_19)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_213672]) ).

tcf(c_214069,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ( sK0(s(p(iPr_def_19)),p(iPr_def_21)) = p(iPr_def_19) )
    | ~ atleast3p(p(iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_201861,c_213672]) ).

tcf(c_214070,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_19))
      | ( sK0(iPr_def_16,m(p(iPr_def_19),X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_213672]) ).

tcf(c_214073,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_19))
      | ( sK0(iPr_def_17,m(p(iPr_def_19),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_213672]) ).

tcf(c_214074,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ( sK0(iPr_def_17,p(iPr_def_19)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_213672]) ).

tcf(c_214075,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,p(iPr_def_19))
    | ~ mem(iPr_def_19,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_213672]) ).

tcf(c_214122,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202827]) ).

tcf(c_214123,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202514]) ).

tcf(c_214124,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202427]) ).

tcf(c_214125,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202290]) ).

tcf(c_214126,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202176]) ).

tcf(c_214127,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_10)
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_65]) ).

tcf(c_214128,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_52]) ).

tcf(c_214131,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(p(iPr_def_12))) = iPr_def_12 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_213546,c_207878]) ).

tcf(c_214132,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_16,p(p(iPr_def_12))) = iPr_def_12 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202038]) ).

tcf(c_214133,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_16,p(p(iPr_def_12))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_180993]) ).

tcf(c_214134,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_181288]) ).

tcf(c_214136,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_10),X0)
      | ( sK0(p(iPr_def_10),X0) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(sK0(p(iPr_def_10),X0)))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_181359]) ).

tcf(c_214138,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_16,p(p(iPr_def_14))) = iPr_def_12 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_201961]) ).

tcf(c_214139,plain,
    sK0(iPr_def_16,p(p(iPr_def_12))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_213546,c_194794]) ).

tcf(c_214140,plain,
    ( subq(iPr_def_21,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_180963]) ).

tcf(c_214141,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_16,p(p(iPr_def_15))) = iPr_def_12 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_202127]) ).

tcf(c_214160,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214126,c_183366]) ).

tcf(c_214165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214125,c_183366]) ).

tcf(c_214170,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214124,c_183366]) ).

tcf(c_214175,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214123,c_183366]) ).

tcf(c_214180,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214122,c_183366]) ).

tcf(c_214185,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_16,p(p(iPr_def_15))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214141,c_183366]) ).

tcf(c_214190,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_16,p(p(iPr_def_14))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_214138,c_183366]) ).

tcf(c_214244,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,s(X1))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187217,c_183681]) ).

tcf(c_214245,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,s(X1))
      | ( s(X1) = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_186435,c_183681]) ).

tcf(c_214247,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(e))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_200255,c_183681]) ).

tcf(c_214248,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187225,c_183681]) ).

tcf(c_214249,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_186451,c_183681]) ).

tcf(c_214251,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187234,c_183681]) ).

tcf(c_214252,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ( iPr_def_16 = iPr_def_17 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_186457,c_183681]) ).

tcf(c_214253,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187230,c_183681]) ).

tcf(c_214254,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_186462,c_183681]) ).

tcf(c_214255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(s(X1),X2))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_193767,c_183681]) ).

tcf(c_214256,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(iPr_def_10,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_207813,c_183681]) ).

tcf(c_214257,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(e),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_200301,c_183681]) ).

tcf(c_214258,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_19))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213584,c_183681]) ).

tcf(c_214259,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183681,c_49]) ).

tcf(c_214260,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | mem(sK0(iPr_def_16,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183681,c_51]) ).

tcf(c_214262,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_16,X1)
      | mem(X0,p(sK0(iPr_def_16,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183681,c_182858]) ).

tcf(c_214263,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_16,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_183681,c_55]) ).

tcf(c_214264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | mem(sK0(iPr_def_16,X2),X1)
      | mem(sK0(iPr_def_16,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183681,c_58]) ).

tcf(c_214265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | ~ mem(sK0(iPr_def_16,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183681,c_61]) ).

tcf(c_214266,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X2)
      | mem(sK0(iPr_def_16,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183681,c_60]) ).

tcf(c_214267,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | subq(sK0(iPr_def_16,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_183681,c_63]) ).

tcf(c_214268,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | subq(sK0(iPr_def_16,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183681,c_181002]) ).

tcf(c_214269,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183681,c_183361]) ).

tcf(c_214270,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183681,c_181021]) ).

tcf(c_214271,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_10,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183681,c_190313]) ).

tcf(c_214272,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_10 )
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183681,c_183362]) ).

tcf(c_214273,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183681,c_181149]) ).

tcf(c_214274,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183681,c_181127]) ).

tcf(c_214275,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_13,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183681,c_186900]) ).

tcf(c_214276,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183681,c_181150]) ).

tcf(c_214277,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_13 )
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183681,c_181023]) ).

tcf(c_214281,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_16,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183681,c_187496]) ).

tcf(c_214283,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_16 )
      | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183681,c_181025]) ).

tcf(c_214284,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_19,sK0(iPr_def_16,X0))
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183681,c_187975]) ).

tcf(c_214286,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_19 )
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183681,c_181026]) ).

tcf(c_214287,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_12)
      | mem(sK0(iPr_def_16,X0),iPr_def_10)
      | ~ subq(iPr_def_21,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_183681,c_183534]) ).

tcf(c_214288,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | mem(sK0(iPr_def_16,X0),iPr_def_14)
      | mem(sK0(iPr_def_16,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183681,c_181400]) ).

tcf(c_214506,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_214259]) ).

tcf(c_214518,plain,
    ( subq(iPr_def_16,p(p(e)))
    | ~ mem(iPr_def_12,p(p(e))) ),
    inference(superposition,[status(thm)],[c_213574,c_49]) ).

tcf(c_214520,plain,
    ( subq(iPr_def_16,p(p(e)))
    | ~ subq(iPr_def_12,p(e)) ),
    inference(superposition,[status(thm)],[c_213574,c_181012]) ).

tcf(c_214521,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(p(e))) ),
    inference(superposition,[status(thm)],[c_213574,c_187457]) ).

tcf(c_214524,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(p(e)))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213574,c_181283]) ).

tcf(c_214525,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(p(e)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213574,c_183681]) ).

tcf(c_214526,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(p(e)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213574,c_182675]) ).

tcf(c_214570,plain,
    ( atleast3p(p(iPr_def_19))
    | subq(p(iPr_def_19),iPr_def_16)
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_213674,c_65]) ).

tcf(c_214571,plain,
    ( ( p(iPr_def_19) = iPr_def_16 )
    | ~ subq(iPr_def_12,iPr_def_19)
    | ~ subq(p(iPr_def_19),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_213674,c_52]) ).

tcf(c_214572,plain,
    ( mem(iPr_def_16,p(iPr_def_19))
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_213674,c_183780]) ).

tcf(c_214573,plain,
    ( mem(iPr_def_12,p(iPr_def_19))
    | ~ subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_213674,c_181291]) ).

tcf(c_214592,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_202827]) ).

tcf(c_214593,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_202514]) ).

tcf(c_214594,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_202427]) ).

tcf(c_214595,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_202290]) ).

tcf(c_214596,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_21)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_202176]) ).

tcf(c_214598,plain,
    ( ( iPr_def_10 = iPr_def_21 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_214140,c_52]) ).

tcf(c_214599,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_214259]) ).

tcf(c_214600,plain,
    ( subq(iPr_def_20,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_213166]) ).

tcf(c_214601,plain,
    ( subq(iPr_def_18,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_209799]) ).

tcf(c_214602,plain,
    ( subq(iPr_def_14,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_184804]) ).

tcf(c_214603,plain,
    ( subq(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_184712]) ).

tcf(c_214604,plain,
    ( subq(iPr_def_15,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_184534]) ).

tcf(c_214605,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_183356]) ).

tcf(c_214606,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_181843]) ).

tcf(c_214607,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_181840]) ).

tcf(c_214608,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_181422]) ).

tcf(c_214609,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214140,c_181661]) ).

tcf(c_214647,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_214596,c_183066]) ).

tcf(c_214652,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_214595,c_183066]) ).

tcf(c_214657,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_214594,c_183066]) ).

tcf(c_214662,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_214593,c_183066]) ).

tcf(c_214667,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
    | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_214592,c_183066]) ).

tcf(c_214720,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_214599,c_52]) ).

tcf(c_214739,plain,
    ( ( iPr_def_10 = iPr_def_20 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_214600,c_52]) ).

tcf(c_214790,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_214601,c_52]) ).

tcf(c_214791,plain,
    ( subq(iPr_def_17,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214601,c_212580]) ).

tcf(c_214793,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( iPr_def_10 = iPr_def_19 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214601,c_186614]) ).

tcf(c_214794,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214601,c_186601]) ).

tcf(c_214825,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_214602,c_52]) ).

tcf(c_214826,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214602,c_186343]) ).

tcf(c_214827,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214602,c_186324]) ).

tcf(c_214828,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214602,c_186305]) ).

tcf(c_214862,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214603,c_195726]) ).

tcf(c_214863,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214603,c_186629]) ).

tcf(c_214864,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214603,c_186418]) ).

tcf(c_214865,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214603,c_186373]) ).

tcf(c_214866,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214603,c_187372]) ).

tcf(c_214867,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214603,c_186666]) ).

tcf(c_214907,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_202827]) ).

tcf(c_214908,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_202514]) ).

tcf(c_214909,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_202427]) ).

tcf(c_214910,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_202290]) ).

tcf(c_214911,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_202176]) ).

tcf(c_214913,plain,
    ( ( iPr_def_10 = iPr_def_15 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10)
    | ~ subq(iPr_def_10,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_214604,c_52]) ).

tcf(c_214917,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_182657]) ).

tcf(c_214918,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_182420]) ).

tcf(c_214919,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214604,c_182362]) ).

tcf(c_215069,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_214605,c_51]) ).

tcf(c_215071,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_214605,c_181021]) ).

tcf(c_215080,plain,
    sK0(iPr_def_14,p(iPr_def_10)) = iPr_def_13,
    inference(global_subsumption_just,[status(thm)],[c_196320,c_68,c_69,c_74,c_1178,c_2683,c_207997]) ).

tcf(c_215082,plain,
    ( subq(iPr_def_14,p(iPr_def_10))
    | ~ mem(iPr_def_13,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_215080,c_49]) ).

tcf(c_215084,plain,
    ( subq(iPr_def_14,p(iPr_def_10))
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_215080,c_181012]) ).

tcf(c_215087,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_13)
    | subq(iPr_def_14,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_215080,c_186953]) ).

tcf(c_215090,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_10))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_215080,c_181283]) ).

tcf(c_215091,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_10))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_215080,c_183082]) ).

tcf(c_215092,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(iPr_def_10))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_215080,c_183910]) ).

tcf(c_215110,plain,
    ( subq(iPr_def_14,p(iPr_def_10))
    | ( sK0(s(iPr_def_13),p(iPr_def_10)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_215082]) ).

tcf(c_215112,plain,
    ( subq(iPr_def_14,p(iPr_def_10))
    | ( sK0(s(p(iPr_def_10)),p(iPr_def_21)) = p(iPr_def_10) )
    | ~ atleast3p(p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_201862,c_215082]) ).

tcf(c_215113,plain,
    ( subq(iPr_def_14,p(iPr_def_10))
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_10)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_215082]) ).

tcf(c_215114,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_10))
      | ( sK0(iPr_def_14,m(p(iPr_def_10),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_215082]) ).

tcf(c_215116,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_14,p(iPr_def_10))
    | ~ mem(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_215082]) ).

tcf(c_215139,plain,
    ~ mem(iPr_def_12,p(p(e))),
    inference(global_subsumption_just,[status(thm)],[c_214518,c_69,c_1179,c_1783,c_43549,c_43550,c_45144]) ).

tcf(c_215141,plain,
    sK0(s(iPr_def_12),p(p(e))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_182860,c_215139]) ).

tcf(c_215142,plain,
    ~ subq(iPr_def_12,p(e)),
    inference(superposition,[status(thm)],[c_62,c_215139]) ).

tcf(c_215143,plain,
    ( ( sK0(s(p(p(e))),p(iPr_def_21)) = p(p(e)) )
    | ~ atleast3p(p(p(e))) ),
    inference(superposition,[status(thm)],[c_201861,c_215139]) ).

tcf(c_215144,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(p(p(e)),X0)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_187220,c_215139]) ).

tcf(c_215147,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(p(p(e)),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_215139]) ).

tcf(c_215148,plain,
    ( ( sK0(iPr_def_17,p(p(e))) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_215139]) ).

tcf(c_215149,plain,
    ( atleast2p(iPr_def_16)
    | ~ mem(p(e),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_215139]) ).

tcf(c_215175,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,s(X1))
      | ( X1 = e )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_185753,c_183900]) ).

tcf(c_215182,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_12,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193122,c_183900]) ).

tcf(c_215183,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(s(X1),X2))
      | ( X1 = e )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193094,c_183900]) ).

tcf(c_215184,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_14,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193121,c_183900]) ).

tcf(c_215185,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_16,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193120,c_183900]) ).

tcf(c_215186,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_17,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193119,c_183900]) ).

tcf(c_215187,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_20,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193118,c_183900]) ).

tcf(c_215188,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_15,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193129,c_183900]) ).

tcf(c_215189,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_18,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193130,c_183900]) ).

tcf(c_215190,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_21,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_193135,c_183900]) ).

tcf(c_215191,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183900,c_49]) ).

tcf(c_215192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X2)
      | mem(sK0(iPr_def_10,X2),X1)
      | ~ subq(iPr_def_13,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_183900,c_51]) ).

tcf(c_215194,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_10,X1)
      | mem(X0,p(sK0(iPr_def_10,X1)))
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_183900,c_182858]) ).

tcf(c_215195,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | ( sK0(iPr_def_10,X1) = X0 )
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_183900,c_55]) ).

tcf(c_215196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X2)
      | mem(sK0(iPr_def_10,X2),X1)
      | mem(sK0(iPr_def_10,X2),X0)
      | ~ subq(iPr_def_13,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183900,c_58]) ).

tcf(c_215197,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X2)
      | ~ mem(sK0(iPr_def_10,X2),X1)
      | ~ subq(iPr_def_13,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183900,c_61]) ).

tcf(c_215198,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X2)
      | mem(sK0(iPr_def_10,X2),X0)
      | ~ subq(iPr_def_13,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_183900,c_60]) ).

tcf(c_215199,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | subq(sK0(iPr_def_10,X1),X0)
      | ~ subq(iPr_def_13,p(X0)) ),
    inference(superposition,[status(thm)],[c_183900,c_63]) ).

tcf(c_215200,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | subq(sK0(iPr_def_10,X0),iPr_def_12)
      | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_183900,c_181002]) ).

tcf(c_215203,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,X0)
      | subq(iPr_def_10,sK0(iPr_def_10,X0))
      | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183900,c_190313]) ).

tcf(c_215204,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = iPr_def_10 )
      | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183900,c_183362]) ).

tcf(c_215206,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_15)
      | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183900,c_181127]) ).

tcf(c_215207,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_10,X0)
      | subq(iPr_def_13,sK0(iPr_def_10,X0))
      | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183900,c_186900]) ).

tcf(c_215208,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_15)
      | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183900,c_181150]) ).

tcf(c_215209,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = iPr_def_13 )
      | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183900,c_181023]) ).

tcf(c_215210,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_10,X0)
      | subq(iPr_def_12,sK0(iPr_def_10,X0))
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183900,c_187056]) ).

tcf(c_215211,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_18)
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183900,c_181128]) ).

tcf(c_215212,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = iPr_def_12 )
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183900,c_181024]) ).

tcf(c_215213,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_10,X0)
      | subq(iPr_def_16,sK0(iPr_def_10,X0))
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183900,c_187496]) ).

tcf(c_215214,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_18)
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183900,c_181151]) ).

tcf(c_215215,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = iPr_def_16 )
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183900,c_181025]) ).

tcf(c_215216,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_10,X0)
      | subq(iPr_def_19,sK0(iPr_def_10,X0))
      | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183900,c_187975]) ).

tcf(c_215217,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_21)
      | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183900,c_181152]) ).

tcf(c_215218,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_10,X0) = iPr_def_19 )
      | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183900,c_181026]) ).

tcf(c_215220,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_14)
      | mem(sK0(iPr_def_10,X0),iPr_def_12)
      | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183900,c_181400]) ).

tcf(c_215221,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_21)
      | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_183900,c_181130]) ).

tcf(c_215222,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_17)
      | mem(sK0(iPr_def_10,X0),iPr_def_16)
      | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183900,c_181401]) ).

tcf(c_215223,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_21)
      | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183900,c_181129]) ).

tcf(c_215224,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | mem(sK0(iPr_def_10,X0),iPr_def_20)
      | mem(sK0(iPr_def_10,X0),iPr_def_18)
      | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_183900,c_181402]) ).

tcf(c_215431,plain,
    ( atleast2p(iPr_def_16)
    | ( sK0(s(p(e)),iPr_def_16) = p(e) ) ),
    inference(superposition,[status(thm)],[c_182860,c_215149]) ).

tcf(c_215438,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_215191]) ).

tcf(c_215443,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_215191]) ).

tcf(c_215444,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_18)
    | subq(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_188405,c_215191]) ).

tcf(c_215445,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_10,iPr_def_19)
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186960,c_215191]) ).

tcf(c_215446,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_10,sK0(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_186953,c_215191]) ).

tcf(c_215492,plain,
    ( atleast3p(p(iPr_def_10))
    | subq(p(iPr_def_10),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_215084,c_65]) ).

tcf(c_215493,plain,
    ( ( p(iPr_def_10) = iPr_def_14 )
    | ~ subq(iPr_def_13,iPr_def_10)
    | ~ subq(p(iPr_def_10),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_215084,c_52]) ).

tcf(c_215494,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,p(iPr_def_10))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_215084,c_186343]) ).

tcf(c_215495,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,p(iPr_def_10))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_215084,c_186324]) ).

tcf(c_215496,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,p(iPr_def_10))
    | ~ atleast3p(iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_215084,c_186305]) ).

tcf(c_215497,plain,
    ( mem(iPr_def_13,p(iPr_def_10))
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_215084,c_181290]) ).

tcf(c_215539,plain,
    ( ~ atleast3p(iPr_def_10)
    | ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 ) ),
    inference(global_subsumption_just,[status(thm)],[c_214606,c_68,c_69,c_74,c_1178,c_2683,c_215071]) ).

tcf(c_215540,plain,
    ( ( sK0(iPr_def_16,p(p(iPr_def_21))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_215539]) ).

tcf(c_215573,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_198893,c_181283]) ).

tcf(c_215585,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,s(X1))
      | ( X1 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187544,c_184132]) ).

tcf(c_215587,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(e))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_201116,c_184132]) ).

tcf(c_215588,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187552,c_184132]) ).

tcf(c_215590,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_16)
      | mem(iPr_def_16,X0)
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187560,c_184132]) ).

tcf(c_215591,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_187557,c_184132]) ).

tcf(c_215592,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(s(X1),X2))
      | ( X1 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_194162,c_184132]) ).

tcf(c_215593,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(iPr_def_10,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_209306,c_184132]) ).

tcf(c_215594,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(p(e),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_201133,c_184132]) ).

tcf(c_215595,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_184132,c_49]) ).

tcf(c_215596,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | mem(sK0(iPr_def_17,X2),X1)
      | ~ subq(iPr_def_21,X0)
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_184132,c_51]) ).

tcf(c_215598,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | subq(iPr_def_17,X1)
      | mem(X0,p(sK0(iPr_def_17,X1)))
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_184132,c_182858]) ).

tcf(c_215599,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | ( sK0(iPr_def_17,X1) = X0 )
      | ~ subq(iPr_def_21,s(X0)) ),
    inference(superposition,[status(thm)],[c_184132,c_55]) ).

tcf(c_215600,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | mem(sK0(iPr_def_17,X2),X1)
      | mem(sK0(iPr_def_17,X2),X0)
      | ~ subq(iPr_def_21,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_184132,c_58]) ).

tcf(c_215601,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | ~ mem(sK0(iPr_def_17,X2),X1)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_184132,c_61]) ).

tcf(c_215602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X2)
      | mem(sK0(iPr_def_17,X2),X0)
      | ~ subq(iPr_def_21,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_184132,c_60]) ).

tcf(c_215603,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | subq(sK0(iPr_def_17,X1),X0)
      | ~ subq(iPr_def_21,p(X0)) ),
    inference(superposition,[status(thm)],[c_184132,c_63]) ).

tcf(c_215604,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | subq(sK0(iPr_def_17,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_184132,c_181002]) ).

tcf(c_215605,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_184132,c_183361]) ).

tcf(c_215606,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = e )
      | ~ subq(iPr_def_21,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_184132,c_181021]) ).

tcf(c_215607,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_10,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184132,c_190313]) ).

tcf(c_215608,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_10 )
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184132,c_183362]) ).

tcf(c_215609,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_13)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184132,c_181149]) ).

tcf(c_215610,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184132,c_181127]) ).

tcf(c_215611,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_13,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_184132,c_186900]) ).

tcf(c_215612,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_15)
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_184132,c_181150]) ).

tcf(c_215613,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_13 )
      | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_184132,c_181023]) ).

tcf(c_215614,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_12,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_184132,c_187056]) ).

tcf(c_215616,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_12 )
      | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_184132,c_181024]) ).

tcf(c_215620,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_19,sK0(iPr_def_17,X0))
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_184132,c_187975]) ).

tcf(c_215622,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_19 )
      | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_184132,c_181026]) ).

tcf(c_215623,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_12)
      | mem(sK0(iPr_def_17,X0),iPr_def_10)
      | ~ subq(iPr_def_21,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_184132,c_183534]) ).

tcf(c_215624,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | mem(sK0(iPr_def_17,X0),iPr_def_14)
      | mem(sK0(iPr_def_17,X0),iPr_def_12)
      | ~ subq(iPr_def_21,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_184132,c_181400]) ).

tcf(c_215753,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_197519,c_207424]) ).

tcf(c_215800,plain,
    ( mem(iPr_def_12,e)
    | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(instantiation,[status(thm)],[c_215753]) ).

tcf(c_215809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(s(iPr_def_21),p(X0)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_215595]) ).

tcf(c_215837,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,X0)
      | ( sK0(s(iPr_def_19),p(X0)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_198897,c_184166]) ).

tcf(c_215840,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,X0)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187682,c_184166]) ).

tcf(c_215844,plain,
    ( atleast3p(iPr_def_15)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_15,iPr_def_13)
    | mem(iPr_def_13,iPr_def_18)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_188309,c_184166]) ).

tcf(c_215845,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_15,sK0(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_188300,c_184166]) ).

tcf(c_215870,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_198897,c_184414]) ).

tcf(c_215873,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201856,c_184414]) ).

tcf(c_215874,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187221,c_184414]) ).

tcf(c_215875,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183528,c_184414]) ).

tcf(c_215876,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_185473,c_184414]) ).

tcf(c_215879,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_13,sK0(iPr_def_19,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_182603,c_184414]) ).

tcf(c_215882,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,iPr_def_16)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_191266,c_184414]) ).

tcf(c_215883,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_13,sK0(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187457,c_184414]) ).

tcf(c_215885,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206349,c_184414]) ).

tcf(c_215887,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205436,c_184414]) ).

tcf(c_215888,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,sK0(p(iPr_def_21),X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185015,c_184414]) ).

tcf(c_215964,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_10,X1)
      | subq(iPr_def_16,X0)
      | ~ subq(sK0(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_192021,c_51]) ).

tcf(c_215987,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_192098,c_51]) ).

tcf(c_215989,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_17,p(s(X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_182858]) ).

tcf(c_215990,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,p(s(X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_55]) ).

tcf(c_215991,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(u(X0,X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_58]) ).

tcf(c_215992,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,p(m(X1,X0))) = iPr_def_16 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_192098,c_61]) ).

tcf(c_215993,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(m(X0,X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_60]) ).

tcf(c_215994,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_63]) ).

tcf(c_215995,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_19)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181002]) ).

tcf(c_215996,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_17,p(iPr_def_10)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_183361]) ).

tcf(c_215997,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_17,p(iPr_def_10)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181021]) ).

tcf(c_215998,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_190313]) ).

tcf(c_215999,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_183362]) ).

tcf(c_216000,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181149]) ).

tcf(c_216001,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181127]) ).

tcf(c_216002,plain,
    ( atleast2p(iPr_def_14)
    | subq(iPr_def_13,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_14)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_186900]) ).

tcf(c_216003,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_17,p(iPr_def_14)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181150]) ).

tcf(c_216004,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_17,p(iPr_def_14)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181023]) ).

tcf(c_216005,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_16)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_187056]) ).

tcf(c_216008,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_17)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_187496]) ).

tcf(c_216010,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,p(iPr_def_17)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181025]) ).

tcf(c_216011,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_20)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_187975]) ).

tcf(c_216013,plain,
    ( ( iPr_def_12 = iPr_def_19 )
    | ( sK0(iPr_def_17,p(iPr_def_20)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181026]) ).

tcf(c_216014,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_17,p(iPr_def_13)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_183534]) ).

tcf(c_216015,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_17,p(iPr_def_15)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181400]) ).

tcf(c_216020,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_181263]) ).

tcf(c_216021,plain,
    sK0(iPr_def_17,p(p(e))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_192098,c_200296]) ).

tcf(c_216022,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_17,p(iPr_def_10)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_190801]) ).

tcf(c_216023,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_200935]) ).

tcf(c_216024,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_199145]) ).

tcf(c_216025,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_190311]) ).

tcf(c_216026,plain,
    ( subq(iPr_def_16,iPr_def_14)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_17,p(iPr_def_14)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_191201]) ).

tcf(c_216027,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_17,p(iPr_def_14)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_186898]) ).

tcf(c_216028,plain,
    ( subq(iPr_def_16,iPr_def_17)
    | ( iPr_def_16 = iPr_def_17 )
    | ( sK0(iPr_def_17,p(iPr_def_17)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_191174]) ).

tcf(c_216029,plain,
    ( atleast2p(iPr_def_17)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_17,p(iPr_def_17)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_187494]) ).

tcf(c_216030,plain,
    ( subq(iPr_def_16,iPr_def_20)
    | ( sK0(iPr_def_17,p(iPr_def_20)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_191045]) ).

tcf(c_216032,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ( sK0(iPr_def_17,p(p(iPr_def_19))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_213672]) ).

tcf(c_216033,plain,
    sK0(iPr_def_17,p(p(p(e)))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_192098,c_215139]) ).

tcf(c_216034,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_17,p(m(iPr_def_10,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_207816]) ).

tcf(c_216067,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_216025,c_665]) ).

tcf(c_216074,plain,
    ( atleast2p(iPr_def_20)
    | ( sK0(iPr_def_17,p(iPr_def_20)) = iPr_def_16 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_216011,c_192307]) ).

tcf(c_216113,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_17,p(s(X0))) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_215989,c_665]) ).

tcf(c_216179,plain,
    ( subq(iPr_def_17,p(p(e)))
    | ~ mem(iPr_def_16,p(p(e))) ),
    inference(superposition,[status(thm)],[c_216021,c_49]) ).

tcf(c_216181,plain,
    ( subq(iPr_def_17,p(p(e)))
    | ~ subq(iPr_def_16,p(e)) ),
    inference(superposition,[status(thm)],[c_216021,c_181012]) ).

tcf(c_216182,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(p(e))) ),
    inference(superposition,[status(thm)],[c_216021,c_187918]) ).

tcf(c_216185,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(p(e)))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_216021,c_181283]) ).

tcf(c_216186,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(p(e)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_216021,c_184132]) ).

tcf(c_216187,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(p(e)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_216021,c_183103]) ).

tcf(c_216209,plain,
    ( subq(iPr_def_17,p(p(p(e))))
    | ~ mem(iPr_def_16,p(p(p(e)))) ),
    inference(superposition,[status(thm)],[c_216033,c_49]) ).

tcf(c_216211,plain,
    ( subq(iPr_def_17,p(p(p(e))))
    | ~ subq(iPr_def_16,p(p(e))) ),
    inference(superposition,[status(thm)],[c_216033,c_181012]) ).

tcf(c_216212,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(p(p(e)))) ),
    inference(superposition,[status(thm)],[c_216033,c_187918]) ).

tcf(c_216215,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(p(p(e))))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_216033,c_181283]) ).

tcf(c_216216,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(p(p(e))))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_216033,c_184132]) ).

tcf(c_216217,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(p(p(e))))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_216033,c_183103]) ).

tcf(c_216328,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_10)
      | ( X0 = e )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198900,c_181283]) ).

tcf(c_216342,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_12)
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_215994,c_65]) ).

tcf(c_216343,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_215994,c_52]) ).

tcf(c_216346,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(p(iPr_def_12))) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_215994,c_207878]) ).

tcf(c_216349,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_215994,c_184414]) ).

tcf(c_216350,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_215994,c_195726]) ).

tcf(c_216351,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_215994,c_186629]) ).

tcf(c_216352,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_215994,c_186418]) ).

tcf(c_216353,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_215994,c_186373]) ).

tcf(c_216354,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_215994,c_187372]) ).

tcf(c_216355,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_215994,c_186666]) ).

tcf(c_216356,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,p(p(X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215994,c_183347]) ).

tcf(c_216358,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(p(sK0(p(iPr_def_12),X0)))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215994,c_181359]) ).

tcf(c_216366,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(iPr_def_19)) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_216346,c_665]) ).

tcf(c_216405,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(p(sK0(iPr_def_19,X0)))) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_216358,c_665]) ).

tcf(c_216421,plain,
    ~ mem(iPr_def_16,p(p(e))),
    inference(global_subsumption_just,[status(thm)],[c_216179,c_1181,c_1670,c_35004,c_43540,c_44242,c_44243]) ).

tcf(c_216423,plain,
    sK0(s(iPr_def_16),p(p(e))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_182860,c_216421]) ).

tcf(c_216424,plain,
    ~ subq(iPr_def_16,p(e)),
    inference(superposition,[status(thm)],[c_62,c_216421]) ).

tcf(c_216426,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(p(p(e)),X0)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_187547,c_216421]) ).

tcf(c_216429,plain,
    ( atleast2p(iPr_def_17)
    | ~ mem(p(e),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182097,c_216421]) ).

tcf(c_216447,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_14),p(X0)) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_198897,c_184434]) ).

tcf(c_216450,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201855,c_184434]) ).

tcf(c_216451,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181079,c_184434]) ).

tcf(c_216457,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206348,c_184434]) ).

tcf(c_216458,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205435,c_184434]) ).

tcf(c_216459,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_185031,c_184434]) ).

tcf(c_216460,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_20))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210142,c_184434]) ).

tcf(c_216461,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_17))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_210666,c_184434]) ).

tcf(c_216462,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_16))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_210686,c_184434]) ).

tcf(c_216463,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_14))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_210706,c_184434]) ).

tcf(c_216465,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_19))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_208164,c_184434]) ).

tcf(c_216466,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_21))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_211112,c_184434]) ).

tcf(c_216467,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_15))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_210766,c_184434]) ).

tcf(c_216468,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,p(iPr_def_18))
    | ~ atleast2p(iPr_def_14)
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_211092,c_184434]) ).

tcf(c_216554,plain,
    ( atleast2p(iPr_def_17)
    | ( sK0(s(p(e)),iPr_def_17) = p(e) ) ),
    inference(superposition,[status(thm)],[c_182860,c_216429]) ).

tcf(c_216560,plain,
    sK0(iPr_def_17,p(iPr_def_20)) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_216074,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_5028,c_51490,c_216013]) ).

tcf(c_216562,plain,
    ( subq(iPr_def_17,p(iPr_def_20))
    | ~ mem(iPr_def_16,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_216560,c_49]) ).

tcf(c_216564,plain,
    ( subq(iPr_def_17,p(iPr_def_20))
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216560,c_181012]) ).

tcf(c_216565,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_216560,c_187918]) ).

tcf(c_216568,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_20))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_216560,c_181283]) ).

tcf(c_216569,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_20))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_216560,c_184132]) ).

tcf(c_216570,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_20))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_216560,c_183103]) ).

tcf(c_216606,plain,
    ( atleast3p(p(iPr_def_20))
    | subq(p(iPr_def_20),iPr_def_17)
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_65]) ).

tcf(c_216607,plain,
    ( ( p(iPr_def_20) = iPr_def_17 )
    | ~ subq(iPr_def_16,iPr_def_20)
    | ~ subq(p(iPr_def_20),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_216564,c_52]) ).

tcf(c_216608,plain,
    ( mem(iPr_def_10,p(iPr_def_20))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_193464]) ).

tcf(c_216609,plain,
    ( mem(iPr_def_13,p(iPr_def_20))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_193438]) ).

tcf(c_216610,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,p(iPr_def_20))
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_189330]) ).

tcf(c_216611,plain,
    ( mem(iPr_def_12,p(iPr_def_20))
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_183155]) ).

tcf(c_216612,plain,
    ( mem(iPr_def_16,p(iPr_def_20))
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_181292]) ).

tcf(c_216647,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_12,X0)),p(X1)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_206641]) ).

tcf(c_216648,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_12,X1))
      | mem(iPr_def_19,p(X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_206641]) ).

tcf(c_216650,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_206641]) ).

tcf(c_216651,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_206641]) ).

tcf(c_216653,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_206641]) ).

tcf(c_216694,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_12,X0)),p(X1)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_206660]) ).

tcf(c_216695,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_12,X1))
      | mem(iPr_def_12,p(X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_206660]) ).

tcf(c_216700,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_206660]) ).

tcf(c_216737,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206663,c_202827]) ).

tcf(c_216743,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_12,X0))
      | ( m(iPr_def_12,X0) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206663,c_52]) ).

tcf(c_216745,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206663,c_206641]) ).

tcf(c_216746,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206663,c_206622]) ).

tcf(c_216747,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206663,c_206606]) ).

tcf(c_216822,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_12,X0)),p(X1)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_207719]) ).

tcf(c_216823,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_12,X1))
      | mem(iPr_def_13,p(X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_207719]) ).

tcf(c_216826,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_207719]) ).

tcf(c_216828,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_207719]) ).

tcf(c_216829,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206663,c_207719]) ).

tcf(c_216924,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_12)
      | ( X0 = iPr_def_10 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198902,c_181283]) ).

tcf(c_216933,plain,
    ( subq(iPr_def_17,p(iPr_def_20))
    | ( sK0(s(iPr_def_16),p(iPr_def_20)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_216562]) ).

tcf(c_216935,plain,
    ( subq(iPr_def_17,p(iPr_def_20))
    | ( sK0(s(p(iPr_def_20)),p(iPr_def_21)) = p(iPr_def_20) )
    | ~ atleast3p(p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_201859,c_216562]) ).

tcf(c_216936,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(iPr_def_20))
      | ( sK0(iPr_def_17,m(p(iPr_def_20),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_216562]) ).

tcf(c_216939,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,p(iPr_def_20))
    | ~ mem(iPr_def_20,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182097,c_216562]) ).

tcf(c_216958,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_13),p(X0)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_198897,c_184450]) ).

tcf(c_216963,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_187129,c_184450]) ).

tcf(c_216964,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_13)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_19)
    | mem(iPr_def_13,iPr_def_18)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_188405,c_184450]) ).

tcf(c_216966,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_13,sK0(iPr_def_14,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_186953,c_184450]) ).

tcf(c_216987,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(X0,s(e))) = e,
    inference(superposition,[status(thm)],[c_54,c_185755]) ).

tcf(c_216988,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(e),X1) = e )
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_185755]) ).

tcf(c_216989,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(X1,u(X0,X2))) = e )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_56,c_185755]) ).

tcf(c_216990,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(X1,u(X2,X0))) = e )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_57,c_185755]) ).

tcf(c_216991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_10,m(X1,m(X0,X2))) = e )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_59,c_185755]) ).

tcf(c_216992,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(X1,p(X0))) = e )
      | ~ subq(e,X0) ),
    inference(superposition,[status(thm)],[c_62,c_185755]) ).

tcf(c_216993,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_10)) = e,
    inference(superposition,[status(thm)],[c_180974,c_185755]) ).

tcf(c_216994,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_19)) = e,
    inference(superposition,[status(thm)],[c_181048,c_185755]) ).

tcf(c_216995,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_13)) = e,
    inference(superposition,[status(thm)],[c_181441,c_185755]) ).

tcf(c_216996,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_191564,c_185755]) ).

tcf(c_216997,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(X2,X0)) = e )
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_185755]) ).

tcf(c_216998,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,X1) = e )
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_181810,c_185755]) ).

tcf(c_216999,plain,
    ! [X0: $i] :
      ( atleast2p(s(e))
      | ( sK0(iPr_def_10,m(X0,p(e))) = e ) ),
    inference(superposition,[status(thm)],[c_210422,c_185755]) ).

tcf(c_217001,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X1)
      | ( sK0(iPr_def_10,m(X0,sK0(iPr_def_14,X1))) = e ) ),
    inference(superposition,[status(thm)],[c_191494,c_185755]) ).

tcf(c_217006,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,p(X1))) = e,
    inference(forward_subsumption_resolution,[status(thm)],[c_216992,c_180985]) ).

tcf(c_217097,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,p(X1)))
      | ~ mem(e,m(X0,p(X1))) ),
    inference(superposition,[status(thm)],[c_217006,c_49]) ).

tcf(c_217100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,p(X2)))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_217006,c_181283]) ).

tcf(c_217101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,p(X2)))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_217006,c_183900]) ).

tcf(c_217111,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ~ mem(e,m(X0,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_216993,c_49]) ).

tcf(c_217114,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,iPr_def_10))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216993,c_181283]) ).

tcf(c_217115,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,iPr_def_10))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216993,c_183900]) ).

tcf(c_217125,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ~ mem(e,m(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_216994,c_49]) ).

tcf(c_217128,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,iPr_def_19))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216994,c_181283]) ).

tcf(c_217129,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,iPr_def_19))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216994,c_183900]) ).

tcf(c_217166,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ~ mem(e,m(X0,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_216995,c_49]) ).

tcf(c_217169,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,iPr_def_13))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216995,c_181283]) ).

tcf(c_217170,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,iPr_def_13))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216995,c_183900]) ).

tcf(c_217183,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_192246,c_51]) ).

tcf(c_217185,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_182858]) ).

tcf(c_217186,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_55]) ).

tcf(c_217187,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(u(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_58]) ).

tcf(c_217188,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(X1,X0))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_192246,c_61]) ).

tcf(c_217189,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_60]) ).

tcf(c_217190,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_63]) ).

tcf(c_217191,plain,
    ( subq(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_19)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_181002]) ).

tcf(c_217192,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_20,p(iPr_def_10)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_183361]) ).

tcf(c_217193,plain,
    ( ( e = iPr_def_12 )
    | ( sK0(iPr_def_20,p(iPr_def_10)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_181021]) ).

tcf(c_217194,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_190313]) ).

tcf(c_217195,plain,
    ( ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_183362]) ).

tcf(c_217196,plain,
    ( mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_181149]) ).

tcf(c_217197,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_181127]) ).

tcf(c_217210,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,iPr_def_10)
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_183534]) ).

tcf(c_217211,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | mem(iPr_def_12,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_15)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_181400]) ).

tcf(c_217216,plain,
    ! [X0: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_181263]) ).

tcf(c_217217,plain,
    sK0(iPr_def_20,p(p(e))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_192246,c_200296]) ).

tcf(c_217218,plain,
    ( subq(iPr_def_16,iPr_def_10)
    | ( sK0(iPr_def_20,p(iPr_def_10)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_190801]) ).

tcf(c_217219,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_10 = iPr_def_12 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_200935]) ).

tcf(c_217220,plain,
    ( subq(iPr_def_16,iPr_def_12)
    | ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_199145]) ).

tcf(c_217221,plain,
    ( atleast2p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_190311]) ).

tcf(c_217228,plain,
    ( subq(iPr_def_16,p(iPr_def_19))
    | ( sK0(iPr_def_20,p(p(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_213672]) ).

tcf(c_217229,plain,
    sK0(iPr_def_20,p(p(p(e)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_192246,c_215139]) ).

tcf(c_217230,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_10,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_207816]) ).

tcf(c_217271,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_217185,c_665]) ).

tcf(c_217336,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_18 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(s(X0),p(iPr_def_18)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_210202]) ).

tcf(c_217342,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_16,p(p(iPr_def_18))) = iPr_def_12 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_210202]) ).

tcf(c_217343,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_14,p(p(iPr_def_18))) = iPr_def_13 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_210202]) ).

tcf(c_217344,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_12,p(iPr_def_18)) = iPr_def_10 )
    | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_210202]) ).

tcf(c_217366,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_18 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_21)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_210202]) ).

tcf(c_217367,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_18 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(iPr_def_18))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_210202]) ).

tcf(c_217368,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_12,p(iPr_def_18)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_217344,c_183366]) ).

tcf(c_217376,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_14,p(p(iPr_def_18))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_217343,c_183366]) ).

tcf(c_217381,plain,
    ( ( iPr_def_10 = iPr_def_18 )
    | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
    | ( sK0(iPr_def_16,p(p(iPr_def_18))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_217342,c_183366]) ).

tcf(c_217411,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ~ subq(X0,iPr_def_20)
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213885,c_38252,c_60767,c_74928,c_175457]) ).

tcf(c_217412,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_20) ),
    inference(renaming,[status(thm)],[c_217411]) ).

tcf(c_217419,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ( sK0(s(X0),p(iPr_def_20)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_217412]) ).

tcf(c_217421,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_20),X0)
      | ( sK0(p(iPr_def_20),X0) = iPr_def_20 )
      | ~ atleast3p(sK0(p(iPr_def_20),X0)) ),
    inference(superposition,[status(thm)],[c_181000,c_217412]) ).

tcf(c_217423,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( sK0(s(X0),iPr_def_20) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_217412]) ).

tcf(c_217425,plain,
    ( ( iPr_def_10 = iPr_def_20 )
    | ( sK0(iPr_def_16,p(p(iPr_def_20))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_217412]) ).

tcf(c_217426,plain,
    ( ( iPr_def_10 = iPr_def_20 )
    | ( sK0(iPr_def_14,p(p(iPr_def_20))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_217412]) ).

tcf(c_217427,plain,
    ( ( iPr_def_10 = iPr_def_20 )
    | ( sK0(iPr_def_12,p(iPr_def_20)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_217412]) ).

tcf(c_217447,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_20 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_217412]) ).

tcf(c_217448,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_20 )
      | ~ subq(iPr_def_19,p(iPr_def_20))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_217412]) ).

tcf(c_217497,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_14)
      | ( X0 = iPr_def_13 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198907,c_181283]) ).

tcf(c_217520,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(s(e),m(X0,iPr_def_10)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_217111]) ).

tcf(c_217522,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(iPr_def_14,p(m(X0,iPr_def_10))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_217111]) ).

tcf(c_217523,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(iPr_def_10,m(m(X0,iPr_def_10),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_217111]) ).

tcf(c_217525,plain,
    ( subq(iPr_def_10,m(e,iPr_def_10))
    | ~ mem(e,e) ),
    inference(superposition,[status(thm)],[c_205214,c_217111]) ).

tcf(c_217536,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ( sK0(s(e),m(X0,iPr_def_19)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_217125]) ).

tcf(c_217538,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ( sK0(iPr_def_14,p(m(X0,iPr_def_19))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_217125]) ).

tcf(c_217539,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ( sK0(iPr_def_10,m(m(X0,iPr_def_19),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_217125]) ).

tcf(c_217541,plain,
    ( subq(iPr_def_10,m(e,iPr_def_19))
    | ~ mem(e,e) ),
    inference(superposition,[status(thm)],[c_205214,c_217125]) ).

tcf(c_217552,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(s(e),m(X0,iPr_def_13)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_217166]) ).

tcf(c_217554,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(iPr_def_14,p(m(X0,iPr_def_13))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_217166]) ).

tcf(c_217555,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(iPr_def_10,m(m(X0,iPr_def_13),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_217166]) ).

tcf(c_217557,plain,
    ( subq(iPr_def_10,m(e,iPr_def_13))
    | ~ mem(e,e) ),
    inference(superposition,[status(thm)],[c_205214,c_217166]) ).

tcf(c_217578,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_12)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_217190,c_65]) ).

tcf(c_217579,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_217190,c_52]) ).

tcf(c_217582,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(p(iPr_def_12))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_217190,c_207878]) ).

tcf(c_217585,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_217190,c_184414]) ).

tcf(c_217586,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217190,c_195726]) ).

tcf(c_217587,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217190,c_186629]) ).

tcf(c_217588,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217190,c_186418]) ).

tcf(c_217589,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217190,c_186373]) ).

tcf(c_217590,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217190,c_187372]) ).

tcf(c_217591,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217190,c_186666]) ).

tcf(c_217592,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217190,c_183347]) ).

tcf(c_217594,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(p(sK0(p(iPr_def_12),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217190,c_181359]) ).

tcf(c_217604,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(iPr_def_19)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_217582,c_665]) ).

tcf(c_217643,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(p(sK0(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_217594,c_665]) ).

tcf(c_217710,plain,
    ( subq(iPr_def_20,p(p(e)))
    | ~ mem(iPr_def_19,p(p(e))) ),
    inference(superposition,[status(thm)],[c_217217,c_49]) ).

tcf(c_217712,plain,
    ( subq(iPr_def_20,p(p(e)))
    | ~ subq(iPr_def_19,p(e)) ),
    inference(superposition,[status(thm)],[c_217217,c_181012]) ).

tcf(c_217713,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(p(e)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_217217,c_181283]) ).

tcf(c_217714,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(p(e))) ),
    inference(superposition,[status(thm)],[c_217217,c_188300]) ).

tcf(c_217716,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(p(e)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_217217,c_183272]) ).

tcf(c_217736,plain,
    ( subq(iPr_def_20,p(p(p(e))))
    | ~ mem(iPr_def_19,p(p(p(e)))) ),
    inference(superposition,[status(thm)],[c_217229,c_49]) ).

tcf(c_217738,plain,
    ( subq(iPr_def_20,p(p(p(e))))
    | ~ subq(iPr_def_19,p(p(e))) ),
    inference(superposition,[status(thm)],[c_217229,c_181012]) ).

tcf(c_217739,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(p(p(e))))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_217229,c_181283]) ).

tcf(c_217740,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(p(p(e)))) ),
    inference(superposition,[status(thm)],[c_217229,c_188300]) ).

tcf(c_217742,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(p(p(e))))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_217229,c_183272]) ).

tcf(c_217759,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_192247,c_51]) ).

tcf(c_217761,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(e))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_182858]) ).

tcf(c_217762,plain,
    ! [X0: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_55]) ).

tcf(c_217763,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | mem(e,X0)
      | ( sK0(iPr_def_20,p(u(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_58]) ).

tcf(c_217764,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(X1,X0))) = iPr_def_19 )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_192247,c_61]) ).

tcf(c_217765,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_60]) ).

tcf(c_217767,plain,
    ( subq(e,iPr_def_12)
    | ( sK0(iPr_def_20,p(iPr_def_19)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_181002]) ).

tcf(c_217770,plain,
    ( atleast2p(iPr_def_12)
    | subq(iPr_def_10,e)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_190313]) ).

tcf(c_217771,plain,
    ( ( e = iPr_def_10 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_183362]) ).

tcf(c_217773,plain,
    ( mem(e,iPr_def_15)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_181127]) ).

tcf(c_217796,plain,
    ( mem(e,iPr_def_20)
    | mem(e,iPr_def_18)
    | ( sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_181402]) ).

tcf(c_217797,plain,
    sK0(iPr_def_20,p(iPr_def_15)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_192247,c_186043]) ).

tcf(c_217799,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_192247,c_185755]) ).

tcf(c_217800,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193183]) ).

tcf(c_217801,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193412]) ).

tcf(c_217802,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(iPr_def_20,p(m(X0,iPr_def_10))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_217111]) ).

tcf(c_217803,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ( sK0(iPr_def_20,p(m(X0,iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_217125]) ).

tcf(c_217804,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(iPr_def_20,p(m(X0,iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_217166]) ).

tcf(c_217805,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193406]) ).

tcf(c_217806,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_16,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193198]) ).

tcf(c_217807,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_17,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193188]) ).

tcf(c_217808,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_15,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193417]) ).

tcf(c_217809,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_18,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193423]) ).

tcf(c_217810,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_21,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_193999]) ).

tcf(c_217818,plain,
    sK0(iPr_def_20,p(iPr_def_21)) = iPr_def_19,
    inference(forward_subsumption_resolution,[status(thm)],[c_217796,c_189654,c_189664]) ).

tcf(c_217927,plain,
    ( subq(iPr_def_20,p(iPr_def_15))
    | ~ mem(iPr_def_19,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_217797,c_49]) ).

tcf(c_217929,plain,
    ( subq(iPr_def_20,p(iPr_def_15))
    | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217797,c_181012]) ).

tcf(c_217930,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_15))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_217797,c_181283]) ).

tcf(c_217931,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_217797,c_188300]) ).

tcf(c_217933,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_15))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_217797,c_183272]) ).

tcf(c_218038,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_16)
      | ( X0 = iPr_def_12 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198910,c_181283]) ).

tcf(c_218048,plain,
    ( subq(iPr_def_20,p(iPr_def_15))
    | ( sK0(s(iPr_def_19),p(iPr_def_15)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_217927]) ).

tcf(c_218050,plain,
    ( subq(iPr_def_20,p(iPr_def_15))
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) )
    | ~ atleast3p(p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_201860,c_217927]) ).

tcf(c_218051,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_15))
      | ( sK0(iPr_def_20,m(p(iPr_def_15),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_217927]) ).

tcf(c_218054,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_15,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_217927]) ).

tcf(c_218055,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_217927]) ).

tcf(c_218071,plain,
    ~ mem(iPr_def_19,p(p(e))),
    inference(global_subsumption_just,[status(thm)],[c_217710,c_1179,c_12103,c_15876,c_29413,c_35004,c_170417]) ).

tcf(c_218073,plain,
    sK0(s(iPr_def_19),p(p(e))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_182860,c_218071]) ).

tcf(c_218074,plain,
    ~ subq(iPr_def_19,p(e)),
    inference(superposition,[status(thm)],[c_62,c_218071]) ).

tcf(c_218076,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(p(e)),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187681,c_218071]) ).

tcf(c_218079,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ mem(p(e),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_218071]) ).

tcf(c_218080,plain,
    ( atleast2p(iPr_def_20)
    | ~ mem(p(e),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_218071]) ).

tcf(c_218096,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(X0,s(iPr_def_13))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_54,c_187127]) ).

tcf(c_218097,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(iPr_def_13),X1) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187127]) ).

tcf(c_218098,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(X1,u(X0,X2))) = iPr_def_13 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_56,c_187127]) ).

tcf(c_218099,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(X1,u(X2,X0))) = iPr_def_13 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_57,c_187127]) ).

tcf(c_218100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_14,m(X1,m(X0,X2))) = iPr_def_13 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_59,c_187127]) ).

tcf(c_218101,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,p(X0))) = iPr_def_13 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_62,c_187127]) ).

tcf(c_218102,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(X0,iPr_def_14)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_180976,c_187127]) ).

tcf(c_218103,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(iPr_def_14,m(X1,X0)) = iPr_def_13 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201862,c_187127]) ).

tcf(c_218104,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,X1) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_187127]) ).

tcf(c_218105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(X2,X0)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_187127]) ).

tcf(c_218106,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_185046,c_187127]) ).

tcf(c_218107,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(X0,iPr_def_15)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_181644,c_187127]) ).

tcf(c_218109,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_14,m(X1,p(X0))) = iPr_def_13 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_187127]) ).

tcf(c_218110,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | ( sK0(iPr_def_14,m(X0,iPr_def_12)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183623,c_187127]) ).

tcf(c_218111,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_17)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_186602,c_187127]) ).

tcf(c_218112,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_17)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_193338,c_187127]) ).

tcf(c_218113,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_14,m(X0,iPr_def_20)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_186508,c_187127]) ).

tcf(c_218114,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_13)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187134,c_187127]) ).

tcf(c_218115,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | ( sK0(iPr_def_14,m(X0,iPr_def_13)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184416,c_187127]) ).

tcf(c_218116,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,iPr_def_17) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187141,c_187127]) ).

tcf(c_218117,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187139,c_187127]) ).

tcf(c_218118,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(X0,iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_188400,c_187127]) ).

tcf(c_218119,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_186579,c_187127]) ).

tcf(c_218120,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(X0,iPr_def_21)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_181651,c_187127]) ).

tcf(c_218121,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_19)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_186918,c_187127]) ).

tcf(c_218122,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_14,m(X1,sK0(p(iPr_def_21),X0))) = iPr_def_13 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_181984,c_187127]) ).

tcf(c_218123,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_21,X0))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205442,c_187127]) ).

tcf(c_218124,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_12,X0))) = iPr_def_13 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206355,c_187127]) ).

tcf(c_218125,plain,
    ! [X0: $i] : sK0(iPr_def_14,m(X0,p(iPr_def_13))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_182207,c_187127]) ).

tcf(c_218258,plain,
    ( subq(iPr_def_20,p(iPr_def_21))
    | ~ mem(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_217818,c_49]) ).

tcf(c_218260,plain,
    ( subq(iPr_def_20,p(iPr_def_21))
    | ~ subq(iPr_def_19,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_217818,c_181012]) ).

tcf(c_218261,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_21))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_217818,c_181283]) ).

tcf(c_218262,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_217818,c_188300]) ).

tcf(c_218264,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_217818,c_183272]) ).

tcf(c_218342,plain,
    ( atleast2p(iPr_def_20)
    | ( sK0(s(p(e)),iPr_def_20) = p(e) ) ),
    inference(superposition,[status(thm)],[c_182860,c_218080]) ).

tcf(c_218354,plain,
    ( atleast3p(p(iPr_def_15))
    | subq(p(iPr_def_15),iPr_def_20)
    | ~ atleast2p(iPr_def_20)
    | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217929,c_65]) ).

tcf(c_218355,plain,
    ( ( p(iPr_def_15) = iPr_def_20 )
    | ~ subq(iPr_def_19,iPr_def_15)
    | ~ subq(p(iPr_def_15),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_217929,c_52]) ).

tcf(c_218356,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,p(iPr_def_15))
    | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217929,c_186589]) ).

tcf(c_218357,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_15))
    | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217929,c_186577]) ).

tcf(c_218358,plain,
    ( mem(iPr_def_19,p(iPr_def_15))
    | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_217929,c_181293]) ).

tcf(c_218375,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_14))
      | ~ mem(iPr_def_13,m(X0,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_218102,c_49]) ).

tcf(c_218379,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(X0,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_218102,c_186953]) ).

tcf(c_218382,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_14))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_218102,c_181283]) ).

tcf(c_218383,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_14))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_218102,c_183082]) ).

tcf(c_218384,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_14))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218102,c_183910]) ).

tcf(c_218406,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(X0,iPr_def_13)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_218103]) ).

tcf(c_218445,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_17)
      | ( X0 = iPr_def_16 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198913,c_181283]) ).

tcf(c_218455,plain,
    ( subq(iPr_def_20,p(iPr_def_21))
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_218258]) ).

tcf(c_218457,plain,
    ( subq(iPr_def_20,p(iPr_def_21))
    | ( sK0(s(p(iPr_def_21)),p(iPr_def_21)) = p(iPr_def_21) )
    | ~ atleast3p(p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201860,c_218258]) ).

tcf(c_218458,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_21))
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_218258]) ).

tcf(c_218461,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_218258]) ).

tcf(c_218462,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_218258]) ).

tcf(c_218478,plain,
    ! [X0: $i] : ~ mem(iPr_def_13,m(X0,iPr_def_14)),
    inference(global_subsumption_just,[status(thm)],[c_218375,c_1180,c_12116]) ).

tcf(c_218480,plain,
    ! [X0: $i] : sK0(s(iPr_def_13),m(X0,iPr_def_14)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_182860,c_218478]) ).

tcf(c_218482,plain,
    ! [X0: $i] :
      ( ( sK0(s(m(X0,iPr_def_14)),p(iPr_def_21)) = m(X0,iPr_def_14) )
      | ~ atleast3p(m(X0,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_201862,c_218478]) ).

tcf(c_218483,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_14)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_218478]) ).

tcf(c_218484,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(m(X0,iPr_def_14),X1)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_187128,c_218478]) ).

tcf(c_218486,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_14)),
    inference(superposition,[status(thm)],[c_205442,c_218478]) ).

tcf(c_218487,plain,
    ( ~ atleast3p(m(iPr_def_12,iPr_def_14))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206355,c_218478]) ).

tcf(c_218488,plain,
    ~ mem(iPr_def_13,e),
    inference(superposition,[status(thm)],[c_205214,c_218478]) ).

tcf(c_218503,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,s(iPr_def_12))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_54,c_187219]) ).

tcf(c_218504,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(iPr_def_12),X1) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187219]) ).

tcf(c_218505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(X1,u(X0,X2))) = iPr_def_12 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_56,c_187219]) ).

tcf(c_218506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(X1,u(X2,X0))) = iPr_def_12 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_57,c_187219]) ).

tcf(c_218507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_16,m(X1,m(X0,X2))) = iPr_def_12 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_59,c_187219]) ).

tcf(c_218508,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,p(X0))) = iPr_def_12 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_62,c_187219]) ).

tcf(c_218509,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_16)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_180977,c_187219]) ).

tcf(c_218510,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_19)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_181049,c_187219]) ).

tcf(c_218511,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_18)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_181205,c_187219]) ).

tcf(c_218512,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_21)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_181245,c_187219]) ).

tcf(c_218513,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_192246,c_187219]) ).

tcf(c_218514,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_192098,c_187219]) ).

tcf(c_218515,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(iPr_def_16,m(X1,X0)) = iPr_def_12 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201861,c_187219]) ).

tcf(c_218516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(X2,X0)) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_187219]) ).

tcf(c_218517,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187219]) ).

tcf(c_218518,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,X1) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_185238,c_187219]) ).

tcf(c_218519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(X1,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_187219]) ).

tcf(c_218520,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,X1) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_187219]) ).

tcf(c_218521,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_12))
      | ( sK0(iPr_def_16,m(X0,p(iPr_def_12))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_210422,c_187219]) ).

tcf(c_218522,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | ( sK0(iPr_def_16,m(X1,p(X0))) = iPr_def_12 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_187219]) ).

tcf(c_218523,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_12)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_187219]) ).

tcf(c_218524,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_12)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191255,c_187219]) ).

tcf(c_218525,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_12)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188995,c_187219]) ).

tcf(c_218526,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_12)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_187219]) ).

tcf(c_218527,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_16,m(X0,iPr_def_12)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186658,c_187219]) ).

tcf(c_218528,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_12)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_187219]) ).

tcf(c_218529,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_16,m(X0,iPr_def_14)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186069,c_187219]) ).

tcf(c_218530,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,m(X0,iPr_def_17)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183132,c_187219]) ).

tcf(c_218531,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_195192,c_187219]) ).

tcf(c_218532,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,iPr_def_14) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187229,c_187219]) ).

tcf(c_218533,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187227,c_187219]) ).

tcf(c_218534,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185480,c_187219]) ).

tcf(c_218535,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185479,c_187219]) ).

tcf(c_218536,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182294,c_187219]) ).

tcf(c_218537,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195729,c_187219]) ).

tcf(c_218538,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_195191,c_187219]) ).

tcf(c_218539,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187226,c_187219]) ).

tcf(c_218540,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186631,c_187219]) ).

tcf(c_218541,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186668,c_187219]) ).

tcf(c_218542,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185478,c_187219]) ).

tcf(c_218543,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_16,m(X1,sK0(p(iPr_def_21),X0))) = iPr_def_12 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182295,c_187219]) ).

tcf(c_218544,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_21,X0))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205441,c_187219]) ).

tcf(c_218545,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_12,X0))) = iPr_def_12 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206354,c_187219]) ).

tcf(c_218546,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,p(iPr_def_13))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_183045,c_187219]) ).

tcf(c_218547,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X1,sK0(iPr_def_19,X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188252,c_187219]) ).

tcf(c_218548,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | ( sK0(iPr_def_16,m(X1,sK0(iPr_def_19,X0))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188056,c_187219]) ).

tcf(c_218742,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(X0,s(iPr_def_16))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_54,c_187546]) ).

tcf(c_218743,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(iPr_def_16),X1) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187546]) ).

tcf(c_218744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(X1,u(X0,X2))) = iPr_def_16 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_56,c_187546]) ).

tcf(c_218745,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(X1,u(X2,X0))) = iPr_def_16 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_57,c_187546]) ).

tcf(c_218746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_17,m(X1,m(X0,X2))) = iPr_def_16 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_59,c_187546]) ).

tcf(c_218747,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,p(X0))) = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_62,c_187546]) ).

tcf(c_218748,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_17)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_180978,c_187546]) ).

tcf(c_218749,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(iPr_def_17,m(X1,X0)) = iPr_def_16 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201859,c_187546]) ).

tcf(c_218750,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(X2,X0)) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_187546]) ).

tcf(c_218751,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_187546]) ).

tcf(c_218752,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,X1) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185293,c_187546]) ).

tcf(c_218753,plain,
    ! [X0: $i] :
      ( atleast2p(s(iPr_def_16))
      | ( sK0(iPr_def_17,m(X0,p(iPr_def_16))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_210422,c_187546]) ).

tcf(c_218754,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_18)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_181669,c_187546]) ).

tcf(c_218755,plain,
    ! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_21)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_181836,c_187546]) ).

tcf(c_218756,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | ( sK0(iPr_def_17,m(X1,p(X0))) = iPr_def_16 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182097,c_187546]) ).

tcf(c_218757,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_12)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188772,c_187546]) ).

tcf(c_218758,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_12)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_187546]) ).

tcf(c_218759,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_17,m(X0,iPr_def_12)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187364,c_187546]) ).

tcf(c_218760,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_12)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186326,c_187546]) ).

tcf(c_218761,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_17,m(X0,iPr_def_14)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186066,c_187546]) ).

tcf(c_218762,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(X0,iPr_def_16)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183760,c_187546]) ).

tcf(c_218763,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187556,c_187546]) ).

tcf(c_218764,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187554,c_187546]) ).

tcf(c_218765,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182573,c_187546]) ).

tcf(c_218766,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_13)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187553,c_187546]) ).

tcf(c_218767,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_13)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186420,c_187546]) ).

tcf(c_218768,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_17,m(X0,iPr_def_13)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187374,c_187546]) ).

tcf(c_218769,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_19)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_185237,c_187546]) ).

tcf(c_218770,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_17,m(X1,sK0(p(iPr_def_21),X0))) = iPr_def_16 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182574,c_187546]) ).

tcf(c_218771,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_21,X0))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205439,c_187546]) ).

tcf(c_218772,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_12,X0))) = iPr_def_16 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206352,c_187546]) ).

tcf(c_218773,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X1,sK0(iPr_def_19,X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188204,c_187546]) ).

tcf(c_218774,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | ( sK0(iPr_def_17,m(X1,sK0(iPr_def_19,X0))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188093,c_187546]) ).

tcf(c_218780,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | ( sK0(iPr_def_17,m(X0,p(iPr_def_16))) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_218753,c_192554]) ).

tcf(c_219047,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_15))
      | ~ mem(iPr_def_13,m(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_218107,c_49]) ).

tcf(c_219051,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_218107,c_186953]) ).

tcf(c_219054,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_15))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_218107,c_181283]) ).

tcf(c_219055,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_15))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_218107,c_183082]) ).

tcf(c_219056,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_15))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218107,c_183910]) ).

tcf(c_219069,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_21))
      | ~ mem(iPr_def_13,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_218120,c_49]) ).

tcf(c_219073,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_218120,c_186953]) ).

tcf(c_219076,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_21))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_218120,c_181283]) ).

tcf(c_219077,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_21))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_218120,c_183082]) ).

tcf(c_219078,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218120,c_183910]) ).

tcf(c_219099,plain,
    ( atleast3p(p(iPr_def_21))
    | subq(p(iPr_def_21),iPr_def_20)
    | ~ atleast2p(iPr_def_20)
    | ~ subq(iPr_def_19,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_218260,c_65]) ).

tcf(c_219100,plain,
    ( ( p(iPr_def_21) = iPr_def_20 )
    | ~ subq(iPr_def_19,iPr_def_21)
    | ~ subq(p(iPr_def_21),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_218260,c_52]) ).

tcf(c_219101,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,p(iPr_def_21))
    | ~ subq(iPr_def_19,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_218260,c_186589]) ).

tcf(c_219102,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_21))
    | ~ subq(iPr_def_19,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_218260,c_186577]) ).

tcf(c_219103,plain,
    ( mem(iPr_def_19,p(iPr_def_21))
    | ~ subq(iPr_def_19,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_218260,c_181293]) ).

tcf(c_219123,plain,
    ( ( sK0(s(iPr_def_19),p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_198897,c_218487]) ).

tcf(c_219125,plain,
    ( ( sK0(iPr_def_20,p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_187682,c_218487]) ).

tcf(c_219156,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_16,m(X0,iPr_def_13)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_195468,c_218515]) ).

tcf(c_219174,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_20)
      | ( X0 = iPr_def_19 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_198916,c_181283]) ).

tcf(c_219184,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_15))
      | ( sK0(s(iPr_def_13),m(X0,iPr_def_15)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_219047]) ).

tcf(c_219186,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_15))
      | ( sK0(s(m(X0,iPr_def_15)),p(iPr_def_21)) = m(X0,iPr_def_15) )
      | ~ atleast3p(m(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_201862,c_219047]) ).

tcf(c_219187,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_15))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_194410,c_219047]) ).

tcf(c_219188,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_15))
      | ( sK0(iPr_def_14,m(m(X0,iPr_def_15),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_219047]) ).

tcf(c_219190,plain,
    ( subq(iPr_def_14,m(iPr_def_21,iPr_def_15))
    | ~ atleast3p(m(iPr_def_21,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_205442,c_219047]) ).

tcf(c_219191,plain,
    ( subq(iPr_def_14,m(iPr_def_12,iPr_def_15))
    | ~ atleast3p(m(iPr_def_12,iPr_def_15))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206355,c_219047]) ).

tcf(c_219192,plain,
    ( subq(iPr_def_14,m(e,iPr_def_15))
    | ~ mem(iPr_def_13,e) ),
    inference(superposition,[status(thm)],[c_205214,c_219047]) ).

tcf(c_219214,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_13),m(X0,iPr_def_21)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_182860,c_219069]) ).

tcf(c_219216,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_21))
      | ( sK0(s(m(X0,iPr_def_21)),p(iPr_def_21)) = m(X0,iPr_def_21) )
      | ~ atleast3p(m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201862,c_219069]) ).

tcf(c_219218,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_21))
      | ( sK0(iPr_def_14,m(m(X0,iPr_def_21),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_219069]) ).

tcf(c_219220,plain,
    ( subq(iPr_def_14,m(iPr_def_21,iPr_def_21))
    | ~ atleast3p(m(iPr_def_21,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_205442,c_219069]) ).

tcf(c_219221,plain,
    ( subq(iPr_def_14,m(iPr_def_12,iPr_def_21))
    | ~ atleast3p(m(iPr_def_12,iPr_def_21))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206355,c_219069]) ).

tcf(c_219222,plain,
    ( subq(iPr_def_14,m(e,iPr_def_21))
    | ~ mem(iPr_def_13,e) ),
    inference(superposition,[status(thm)],[c_205214,c_219069]) ).

tcf(c_219239,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(X0,s(iPr_def_19))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_54,c_187680]) ).

tcf(c_219240,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(iPr_def_19),X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_187680]) ).

tcf(c_219241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(X1,u(X0,X2))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_56,c_187680]) ).

tcf(c_219242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(X1,u(X2,X0))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_57,c_187680]) ).

tcf(c_219243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(X1,m(X0,X2))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_59,c_187680]) ).

tcf(c_219244,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,p(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_62,c_187680]) ).

tcf(c_219245,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_20)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_180979,c_187680]) ).

tcf(c_219246,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(iPr_def_20,m(X1,X0)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201860,c_187680]) ).

tcf(c_219247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(X2,X0)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_187680]) ).

tcf(c_219248,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_187680]) ).

tcf(c_219249,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185320,c_187680]) ).

tcf(c_219251,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_21)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_181801,c_187680]) ).

tcf(c_219252,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,m(X1,p(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_187680]) ).

tcf(c_219253,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(X1,p(X0))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_187680]) ).

tcf(c_219254,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_12)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_187680]) ).

tcf(c_219255,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_20,m(X0,iPr_def_12)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_187680]) ).

tcf(c_219256,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_14,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_12)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_187680]) ).

tcf(c_219257,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_20,m(X0,iPr_def_12)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_187680]) ).

tcf(c_219258,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_12)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_187680]) ).

tcf(c_219259,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,m(X0,iPr_def_14)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186065,c_187680]) ).

tcf(c_219260,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_16)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191331,c_187680]) ).

tcf(c_219261,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_15)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187690,c_187680]) ).

tcf(c_219262,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_15)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187688,c_187680]) ).

tcf(c_219263,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(X0,iPr_def_15)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_182392,c_187680]) ).

tcf(c_219264,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187687,c_187680]) ).

tcf(c_219265,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_20,m(X0,iPr_def_13)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189721,c_187680]) ).

tcf(c_219266,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_20,m(X0,iPr_def_13)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187881,c_187680]) ).

tcf(c_219267,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_13)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186375,c_187680]) ).

tcf(c_219268,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_20,m(X1,sK0(p(iPr_def_21),X0))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_182393,c_187680]) ).

tcf(c_219269,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_21,X0))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205440,c_187680]) ).

tcf(c_219270,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_12,X0))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206353,c_187680]) ).

tcf(c_219271,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(X0,p(iPr_def_19))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183484,c_187680]) ).

tcf(c_219272,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X1,sK0(iPr_def_19,X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188142,c_187680]) ).

tcf(c_219496,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_18),p(X0)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_188431]) ).

tcf(c_219502,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_16)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_188431]) ).

tcf(c_219504,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_13,iPr_def_17)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183115,c_188431]) ).

tcf(c_219522,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_16))
      | ~ mem(iPr_def_12,m(X0,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_218509,c_49]) ).

tcf(c_219525,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X0,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_218509,c_187457]) ).

tcf(c_219528,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_16))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218509,c_181283]) ).

tcf(c_219529,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_16))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218509,c_183681]) ).

tcf(c_219530,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_16))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218509,c_182675]) ).

tcf(c_219543,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_19))
      | ~ mem(iPr_def_12,m(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_218510,c_49]) ).

tcf(c_219546,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_218510,c_187457]) ).

tcf(c_219549,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_19))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218510,c_181283]) ).

tcf(c_219550,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_19))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218510,c_183681]) ).

tcf(c_219551,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_19))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218510,c_182675]) ).

tcf(c_219579,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ~ mem(iPr_def_12,m(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_218511,c_49]) ).

tcf(c_219582,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_218511,c_187457]) ).

tcf(c_219585,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_18))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218511,c_181283]) ).

tcf(c_219586,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_18))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218511,c_183681]) ).

tcf(c_219587,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_18))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218511,c_182675]) ).

tcf(c_219599,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_21)),
    inference(global_subsumption_just,[status(thm)],[c_219220,c_88420]) ).

tcf(c_219613,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X0)
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_219504,c_51]) ).

tcf(c_219616,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_219504,c_181025]) ).

tcf(c_219617,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(X0,iPr_def_17)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_219504,c_187127]) ).

tcf(c_219643,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_17,m(X0,iPr_def_13)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_195468,c_218749]) ).

tcf(c_219646,plain,
    ! [X0: $i] : ~ mem(iPr_def_12,m(X0,iPr_def_16)),
    inference(global_subsumption_just,[status(thm)],[c_219522,c_1181,c_12221]) ).

tcf(c_219648,plain,
    ! [X0: $i] : sK0(s(iPr_def_12),m(X0,iPr_def_16)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_182860,c_219646]) ).

tcf(c_219650,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(X0,iPr_def_16))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_192246,c_219646]) ).

tcf(c_219651,plain,
    ! [X0: $i] : sK0(iPr_def_17,p(m(X0,iPr_def_16))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_192098,c_219646]) ).

tcf(c_219652,plain,
    ! [X0: $i] :
      ( ( sK0(s(m(X0,iPr_def_16)),p(iPr_def_21)) = m(X0,iPr_def_16) )
      | ~ atleast3p(m(X0,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_201861,c_219646]) ).

tcf(c_219653,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(m(X0,iPr_def_16),X1)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_187220,c_219646]) ).

tcf(c_219654,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_14,m(X0,iPr_def_16)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_219646]) ).

tcf(c_219656,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(m(X0,iPr_def_16),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_219646]) ).

tcf(c_219657,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(X0,iPr_def_16)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_219646]) ).

tcf(c_219658,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_16)),
    inference(superposition,[status(thm)],[c_205441,c_219646]) ).

tcf(c_219659,plain,
    ( ~ atleast3p(m(iPr_def_12,iPr_def_16))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206354,c_219646]) ).

tcf(c_219660,plain,
    ~ mem(iPr_def_12,e),
    inference(superposition,[status(thm)],[c_205214,c_219646]) ).

tcf(c_219696,plain,
    ! [X0: $i] : ~ mem(iPr_def_12,m(X0,iPr_def_19)),
    inference(global_subsumption_just,[status(thm)],[c_219543,c_1283,c_37758]) ).

tcf(c_219698,plain,
    ! [X0: $i] : sK0(s(iPr_def_12),m(X0,iPr_def_19)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_182860,c_219696]) ).

tcf(c_219700,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(X0,iPr_def_19))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_192246,c_219696]) ).

tcf(c_219701,plain,
    ! [X0: $i] : sK0(iPr_def_17,p(m(X0,iPr_def_19))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_192098,c_219696]) ).

tcf(c_219702,plain,
    ! [X0: $i] :
      ( ( sK0(s(m(X0,iPr_def_19)),p(iPr_def_21)) = m(X0,iPr_def_19) )
      | ~ atleast3p(m(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_201861,c_219696]) ).

tcf(c_219703,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(m(X0,iPr_def_19),X1)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_187220,c_219696]) ).

tcf(c_219704,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_14,m(X0,iPr_def_19)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_219696]) ).

tcf(c_219706,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(m(X0,iPr_def_19),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_219696]) ).

tcf(c_219707,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(X0,iPr_def_19)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_219696]) ).

tcf(c_219708,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_19)),
    inference(superposition,[status(thm)],[c_205441,c_219696]) ).

tcf(c_219709,plain,
    ( ~ atleast3p(m(iPr_def_12,iPr_def_19))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206354,c_219696]) ).

tcf(c_219759,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(s(iPr_def_12),m(X0,iPr_def_18)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_219579]) ).

tcf(c_219761,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_20,p(m(X0,iPr_def_18))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_219579]) ).

tcf(c_219762,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_17,p(m(X0,iPr_def_18))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_219579]) ).

tcf(c_219763,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(s(m(X0,iPr_def_18)),p(iPr_def_21)) = m(X0,iPr_def_18) )
      | ~ atleast3p(m(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_201861,c_219579]) ).

tcf(c_219764,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_16,m(m(X0,iPr_def_18),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_219579]) ).

tcf(c_219765,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_14,m(X0,iPr_def_18)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_219579]) ).

tcf(c_219767,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_17,m(m(X0,iPr_def_18),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_219579]) ).

tcf(c_219769,plain,
    ( subq(iPr_def_16,m(iPr_def_21,iPr_def_18))
    | ~ atleast3p(m(iPr_def_21,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_205441,c_219579]) ).

tcf(c_219770,plain,
    ( subq(iPr_def_16,m(iPr_def_12,iPr_def_18))
    | ~ atleast3p(m(iPr_def_12,iPr_def_18))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206354,c_219579]) ).

tcf(c_219771,plain,
    ( subq(iPr_def_16,m(e,iPr_def_18))
    | ~ mem(iPr_def_12,e) ),
    inference(superposition,[status(thm)],[c_205214,c_219579]) ).

tcf(c_219877,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_17),p(X0)) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_198897,c_188459]) ).

tcf(c_219878,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | atleast2p(iPr_def_17)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_64,c_188459]) ).

tcf(c_219881,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,X0) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181095,c_188459]) ).

tcf(c_219891,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_16)
    | mem(iPr_def_10,p(iPr_def_20))
    | ~ subq(iPr_def_16,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_216564,c_188459]) ).

tcf(c_219911,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ~ mem(iPr_def_12,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_218512,c_49]) ).

tcf(c_219914,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_218512,c_187457]) ).

tcf(c_219917,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_21))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218512,c_181283]) ).

tcf(c_219918,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218512,c_183681]) ).

tcf(c_219919,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,iPr_def_21))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218512,c_182675]) ).

tcf(c_219932,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_17))
      | ~ mem(iPr_def_16,m(X0,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_218748,c_49]) ).

tcf(c_219934,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(X0,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_218748,c_187918]) ).

tcf(c_219937,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_17))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_218748,c_181283]) ).

tcf(c_219938,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_17))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218748,c_184132]) ).

tcf(c_219939,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_17))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218748,c_183103]) ).

tcf(c_219955,plain,
    ( ( sK0(s(iPr_def_19),p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_198897,c_219659]) ).

tcf(c_219957,plain,
    ( ( sK0(iPr_def_20,p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_187682,c_219659]) ).

tcf(c_219965,plain,
    ( ( sK0(s(iPr_def_19),p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_198897,c_219709]) ).

tcf(c_219967,plain,
    ( ( sK0(iPr_def_20,p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_187682,c_219709]) ).

tcf(c_219987,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(X0,iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_195468,c_219246]) ).

tcf(c_220001,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_12),m(X0,iPr_def_21)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_219911]) ).

tcf(c_220003,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(iPr_def_20,p(m(X0,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_219911]) ).

tcf(c_220004,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(iPr_def_17,p(m(X0,iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_219911]) ).

tcf(c_220005,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(s(m(X0,iPr_def_21)),p(iPr_def_21)) = m(X0,iPr_def_21) )
      | ~ atleast3p(m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201861,c_219911]) ).

tcf(c_220006,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(iPr_def_16,m(m(X0,iPr_def_21),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_219911]) ).

tcf(c_220009,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(iPr_def_17,m(m(X0,iPr_def_21),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_219911]) ).

tcf(c_220012,plain,
    ( subq(iPr_def_16,m(iPr_def_12,iPr_def_21))
    | ~ atleast3p(m(iPr_def_12,iPr_def_21))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206354,c_219911]) ).

tcf(c_220013,plain,
    ( subq(iPr_def_16,m(e,iPr_def_21))
    | ~ mem(iPr_def_12,e) ),
    inference(superposition,[status(thm)],[c_205214,c_219911]) ).

tcf(c_220034,plain,
    ! [X0: $i] : ~ mem(iPr_def_16,m(X0,iPr_def_17)),
    inference(global_subsumption_just,[status(thm)],[c_219932,c_1182,c_12352]) ).

tcf(c_220036,plain,
    ! [X0: $i] : sK0(s(iPr_def_16),m(X0,iPr_def_17)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_182860,c_220034]) ).

tcf(c_220038,plain,
    ! [X0: $i] :
      ( ( sK0(s(m(X0,iPr_def_17)),p(iPr_def_21)) = m(X0,iPr_def_17) )
      | ~ atleast3p(m(X0,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_201859,c_220034]) ).

tcf(c_220039,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(m(X0,iPr_def_17),X1)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_187547,c_220034]) ).

tcf(c_220040,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_14,m(X0,iPr_def_17)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_220034]) ).

tcf(c_220042,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_17)),
    inference(superposition,[status(thm)],[c_205439,c_220034]) ).

tcf(c_220043,plain,
    ( ~ atleast3p(m(iPr_def_12,iPr_def_17))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206352,c_220034]) ).

tcf(c_220044,plain,
    ~ mem(iPr_def_16,e),
    inference(superposition,[status(thm)],[c_205214,c_220034]) ).

tcf(c_220063,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_16),p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_198897,c_189313]) ).

tcf(c_220066,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_210209,c_189313]) ).

tcf(c_220067,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187548,c_189313]) ).

tcf(c_220068,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181087,c_189313]) ).

tcf(c_220075,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_17)
    | mem(iPr_def_10,iPr_def_16)
    | mem(iPr_def_10,iPr_def_10)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_188460,c_189313]) ).

tcf(c_220076,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | mem(iPr_def_10,sK0(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_187918,c_189313]) ).

tcf(c_220077,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_210260,c_189313]) ).

tcf(c_220080,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_210171,c_189313]) ).

tcf(c_220081,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,sK0(p(iPr_def_21),X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_210294,c_189313]) ).

tcf(c_220082,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,p(iPr_def_19))
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_12,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_213674,c_189313]) ).

tcf(c_220143,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,s(iPr_def_10))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_54,c_189953]) ).

tcf(c_220144,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(iPr_def_10),X1) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_189953]) ).

tcf(c_220145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(X1,u(X0,X2))) = iPr_def_10 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_56,c_189953]) ).

tcf(c_220146,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(X1,u(X2,X0))) = iPr_def_10 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_57,c_189953]) ).

tcf(c_220147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_12,m(X1,m(X0,X2))) = iPr_def_10 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_59,c_189953]) ).

tcf(c_220148,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,p(X0))) = iPr_def_10 )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_62,c_189953]) ).

tcf(c_220150,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_191646,c_189953]) ).

tcf(c_220151,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_191563,c_189953]) ).

tcf(c_220152,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ( sK0(iPr_def_12,m(X1,X0)) = iPr_def_10 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201858,c_189953]) ).

tcf(c_220153,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(X2,X0)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_189953]) ).

tcf(c_220154,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186271,c_189953]) ).

tcf(c_220155,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_17,X1) = iPr_def_16 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_189953]) ).

tcf(c_220156,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_21)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_183359,c_189953]) ).

tcf(c_220157,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_12,m(X0,iPr_def_20)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186509,c_189953]) ).

tcf(c_220158,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_17)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186615,c_189953]) ).

tcf(c_220159,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_17)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_193369,c_189953]) ).

tcf(c_220160,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X0,iPr_def_17)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189287,c_189953]) ).

tcf(c_220161,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_12,m(X0,iPr_def_17)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_188417,c_189953]) ).

tcf(c_220162,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_16)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_188462,c_189953]) ).

tcf(c_220163,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_16)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191334,c_189953]) ).

tcf(c_220164,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X0,iPr_def_16)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_189285,c_189953]) ).

tcf(c_220165,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | ( sK0(iPr_def_12,m(X0,iPr_def_14)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183877,c_189953]) ).

tcf(c_220166,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_13)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_183350,c_189953]) ).

tcf(c_220167,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_15)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_183360,c_189953]) ).

tcf(c_220168,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_12)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_183364,c_189953]) ).

tcf(c_220169,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | ( sK0(iPr_def_12,m(X1,p(X0))) = iPr_def_10 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183563,c_189953]) ).

tcf(c_220170,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_18)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189969,c_189953]) ).

tcf(c_220171,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_18)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189966,c_189953]) ).

tcf(c_220172,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_18)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191375,c_189953]) ).

tcf(c_220173,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X0,iPr_def_18)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_188410,c_189953]) ).

tcf(c_220174,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X0,iPr_def_18)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_186591,c_189953]) ).

tcf(c_220175,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_12,m(X1,sK0(p(iPr_def_21),X0))) = iPr_def_10 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_183355,c_189953]) ).

tcf(c_220176,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_12,m(X1,sK0(iPr_def_19,X0))) = iPr_def_10 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_183565,c_189953]) ).

tcf(c_220177,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X1)
      | ( sK0(iPr_def_12,m(X0,sK0(iPr_def_14,X1))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_191493,c_189953]) ).

tcf(c_220178,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X1)
      | ( sK0(iPr_def_12,m(X0,sK0(iPr_def_16,X1))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_192021,c_189953]) ).

tcf(c_220179,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,p(iPr_def_10))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_183352,c_189953]) ).

tcf(c_220180,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_21,X0))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_205438,c_189953]) ).

tcf(c_220181,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_12,X0))) = iPr_def_10 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206351,c_189953]) ).

tcf(c_220182,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(X0,p(iPr_def_13))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_183342,c_189953]) ).

tcf(c_220416,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_18))
      | ~ mem(iPr_def_16,m(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_218754,c_49]) ).

tcf(c_220418,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_218754,c_187918]) ).

tcf(c_220421,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_18))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_218754,c_181283]) ).

tcf(c_220422,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_18))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218754,c_184132]) ).

tcf(c_220423,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_18))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218754,c_183103]) ).

tcf(c_220436,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_21))
      | ~ mem(iPr_def_16,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_218755,c_49]) ).

tcf(c_220438,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_218755,c_187918]) ).

tcf(c_220441,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_21))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_218755,c_181283]) ).

tcf(c_220442,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218755,c_184132]) ).

tcf(c_220443,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(X1,iPr_def_21))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218755,c_183103]) ).

tcf(c_220488,plain,
    ( ( sK0(s(iPr_def_19),p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_198897,c_220043]) ).

tcf(c_220490,plain,
    ( ( sK0(iPr_def_20,p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_187682,c_220043]) ).

tcf(c_220531,plain,
    ! [X0: $i] :
      ( subq(s(X0),p(e))
      | ( X0 = e )
      | ~ mem(X0,p(e)) ),
    inference(superposition,[status(thm)],[c_201158,c_49]) ).

tcf(c_220534,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(e))
      | ( X0 = e )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_201158,c_181283]) ).

tcf(c_220546,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_18))
      | ( sK0(s(iPr_def_16),m(X0,iPr_def_18)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_220416]) ).

tcf(c_220548,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_18))
      | ( sK0(s(m(X0,iPr_def_18)),p(iPr_def_21)) = m(X0,iPr_def_18) )
      | ~ atleast3p(m(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_201859,c_220416]) ).

tcf(c_220549,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_18))
      | ( sK0(iPr_def_17,m(m(X0,iPr_def_18),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_220416]) ).

tcf(c_220550,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | subq(iPr_def_17,m(X0,iPr_def_18))
      | ( sK0(iPr_def_14,m(X0,iPr_def_18)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_220416]) ).

tcf(c_220552,plain,
    ( subq(iPr_def_17,m(iPr_def_21,iPr_def_18))
    | ~ atleast3p(m(iPr_def_21,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_205439,c_220416]) ).

tcf(c_220553,plain,
    ( subq(iPr_def_17,m(iPr_def_12,iPr_def_18))
    | ~ atleast3p(m(iPr_def_12,iPr_def_18))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206352,c_220416]) ).

tcf(c_220554,plain,
    ( subq(iPr_def_17,m(e,iPr_def_18))
    | ~ mem(iPr_def_16,e) ),
    inference(superposition,[status(thm)],[c_205214,c_220416]) ).

tcf(c_220576,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_16),m(X0,iPr_def_21)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_220436]) ).

tcf(c_220578,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_21))
      | ( sK0(s(m(X0,iPr_def_21)),p(iPr_def_21)) = m(X0,iPr_def_21) )
      | ~ atleast3p(m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201859,c_220436]) ).

tcf(c_220579,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_21))
      | ( sK0(iPr_def_17,m(m(X0,iPr_def_21),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_220436]) ).

tcf(c_220583,plain,
    ( subq(iPr_def_17,m(iPr_def_12,iPr_def_21))
    | ~ atleast3p(m(iPr_def_12,iPr_def_21))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206352,c_220436]) ).

tcf(c_220584,plain,
    ( subq(iPr_def_17,m(e,iPr_def_21))
    | ~ mem(iPr_def_16,e) ),
    inference(superposition,[status(thm)],[c_205214,c_220436]) ).

tcf(c_220626,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_191595,c_52]) ).

tcf(c_220627,plain,
    ! [X0: $i] :
      ( atleast3p(p(X0))
      | atleast2p(s(X0))
      | mem(X0,iPr_def_13)
      | ( sK0(iPr_def_14,p(p(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_210957]) ).

tcf(c_220628,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(p(X1))
      | mem(X0,iPr_def_13)
      | ( sK0(iPr_def_14,p(p(X1))) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_191595,c_181287]) ).

tcf(c_220629,plain,
    ! [X0: $i] :
      ( subq(X0,p(iPr_def_13))
      | atleast3p(sK0(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_14,p(sK0(X0,p(iPr_def_13)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_181012]) ).

tcf(c_220630,plain,
    ! [X0: $i] :
      ( atleast3p(s(X0))
      | mem(X0,iPr_def_13)
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_181284]) ).

tcf(c_220635,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_12)
    | mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_191595,c_184414]) ).

tcf(c_220636,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_195726]) ).

tcf(c_220637,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_186629]) ).

tcf(c_220638,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_13)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_186418]) ).

tcf(c_220639,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_186373]) ).

tcf(c_220640,plain,
    ( atleast3p(iPr_def_12)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_187372]) ).

tcf(c_220641,plain,
    ( atleast3p(iPr_def_12)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_186666]) ).

tcf(c_220687,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_13)
    | mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_191595,c_184450]) ).

tcf(c_220690,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_19,iPr_def_13)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_186861]) ).

tcf(c_220691,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_187427]) ).

tcf(c_220692,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(iPr_def_13)) = iPr_def_13 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_186839]) ).

tcf(c_220711,plain,
    ( atleast3p(p(iPr_def_19))
    | mem(iPr_def_19,iPr_def_13)
    | ( sK0(iPr_def_14,p(p(iPr_def_19))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_183486]) ).

tcf(c_220713,plain,
    ( atleast3p(p(iPr_def_13))
    | mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(p(iPr_def_13))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_183047]) ).

tcf(c_220714,plain,
    ( atleast3p(p(iPr_def_13))
    | mem(iPr_def_13,iPr_def_13)
    | ( sK0(iPr_def_14,p(p(iPr_def_13))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_182209]) ).

tcf(c_220852,plain,
    ! [X0: $i] :
      ( atleast3p(X0)
      | ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_192265,c_52]) ).

tcf(c_220853,plain,
    ! [X0: $i] :
      ( atleast3p(p(X0))
      | atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_210957]) ).

tcf(c_220854,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(p(X1))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(p(X1))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_192265,c_181287]) ).

tcf(c_220855,plain,
    ! [X0: $i] :
      ( subq(X0,p(iPr_def_19))
      | atleast3p(sK0(X0,p(iPr_def_19)))
      | ( sK0(iPr_def_20,p(sK0(X0,p(iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_181012]) ).

tcf(c_220856,plain,
    ! [X0: $i] :
      ( atleast3p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_181284]) ).

tcf(c_220857,plain,
    ( atleast3p(iPr_def_19)
    | atleast3p(iPr_def_15)
    | mem(iPr_def_15,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_19)) = iPr_def_19 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_192265,c_184166]) ).

tcf(c_220861,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_12)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_192265,c_184414]) ).

tcf(c_220864,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_16,iPr_def_19)
    | ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_186418]) ).

tcf(c_220865,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_19,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_186373]) ).

tcf(c_220866,plain,
    ( atleast3p(iPr_def_12)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_187372]) ).

tcf(c_220868,plain,
    ( atleast3p(iPr_def_12)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_183347]) ).

tcf(c_220913,plain,
    ( atleast3p(iPr_def_15)
    | atleast3p(iPr_def_13)
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_192265,c_184450]) ).

tcf(c_220914,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_215191]) ).

tcf(c_220915,plain,
    ( atleast3p(iPr_def_13)
    | subq(iPr_def_12,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_211808]) ).

tcf(c_220916,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_19,iPr_def_19)
    | ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_186861]) ).

tcf(c_220917,plain,
    ( atleast3p(iPr_def_13)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_187427]) ).

tcf(c_220919,plain,
    ( atleast3p(iPr_def_13)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(iPr_def_13)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_183332]) ).

tcf(c_220921,plain,
    ( atleast3p(p(iPr_def_10))
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(p(iPr_def_10))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_183351]) ).

tcf(c_220937,plain,
    ( atleast3p(p(iPr_def_19))
    | mem(iPr_def_19,iPr_def_19)
    | ( sK0(iPr_def_20,p(p(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_183486]) ).

tcf(c_220938,plain,
    ( atleast3p(p(iPr_def_13))
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(p(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_183338]) ).

tcf(c_220940,plain,
    ( atleast3p(p(iPr_def_13))
    | mem(iPr_def_13,iPr_def_19)
    | ( sK0(iPr_def_20,p(p(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_182209]) ).

tcf(c_220941,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | subq(iPr_def_19,X0)
      | atleast3p(sK0(iPr_def_19,X0))
      | ( sK0(iPr_def_20,p(sK0(iPr_def_19,X0))) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_192265,c_183830]) ).

tcf(c_221014,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(X0,iPr_def_20))
      | ~ mem(iPr_def_19,m(X0,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_219245,c_49]) ).

tcf(c_221016,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(X1,iPr_def_20))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_219245,c_181283]) ).

tcf(c_221017,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(X0,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_219245,c_188300]) ).

tcf(c_221019,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(X1,iPr_def_20))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219245,c_183272]) ).

tcf(c_221029,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(X0,iPr_def_21))
      | ~ mem(iPr_def_19,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_219251,c_49]) ).

tcf(c_221031,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(X1,iPr_def_21))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_219251,c_181283]) ).

tcf(c_221032,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_219251,c_188300]) ).

tcf(c_221034,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(X1,iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219251,c_183272]) ).

tcf(c_221064,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ~ mem(iPr_def_10,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_220156,c_49]) ).

tcf(c_221066,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_220156,c_190419]) ).

tcf(c_221070,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_21))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220156,c_181283]) ).

tcf(c_221071,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_21))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220156,c_183073]) ).

tcf(c_221072,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_21))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220156,c_182629]) ).

tcf(c_221073,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_21))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220156,c_183665]) ).

tcf(c_221090,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ~ mem(iPr_def_10,m(X0,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_220166,c_49]) ).

tcf(c_221092,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X0,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_220166,c_190419]) ).

tcf(c_221096,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_13))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220166,c_181283]) ).

tcf(c_221097,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_13))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220166,c_183073]) ).

tcf(c_221098,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_13))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220166,c_182629]) ).

tcf(c_221099,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_13))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220166,c_183665]) ).

tcf(c_221161,plain,
    ! [X0: $i] :
      ( ( s(e) = X0 )
      | ( sK0(s(e),X0) = e )
      | ( sK0(s(X0),p(iPr_def_10)) = X0 ) ),
    inference(superposition,[status(thm)],[c_656,c_201224]) ).

tcf(c_221162,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_13) = X0 )
      | ( sK0(s(iPr_def_13),X0) = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_14)) = X0 ) ),
    inference(superposition,[status(thm)],[c_193293,c_201224]) ).

tcf(c_221164,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_12) = X0 )
      | ( sK0(s(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(s(X0),p(iPr_def_16)) = X0 ) ),
    inference(superposition,[status(thm)],[c_193015,c_201224]) ).

tcf(c_221166,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_16) = X0 )
      | ( sK0(s(iPr_def_16),X0) = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_17)) = X0 ) ),
    inference(superposition,[status(thm)],[c_192554,c_201224]) ).

tcf(c_221168,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_19) = X0 )
      | ( sK0(s(iPr_def_19),X0) = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_20)) = X0 ) ),
    inference(superposition,[status(thm)],[c_666,c_201224]) ).

tcf(c_221169,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_10) = X0 )
      | ( sK0(s(iPr_def_10),X0) = iPr_def_10 )
      | ( sK0(s(X0),p(iPr_def_12)) = X0 ) ),
    inference(superposition,[status(thm)],[c_183366,c_201224]) ).

tcf(c_221170,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),p(s(X1)))
      | ( s(X1) = X0 )
      | ( sK0(s(X1),X0) = X1 )
      | ~ mem(X0,p(s(X1))) ),
    inference(superposition,[status(thm)],[c_201224,c_49]) ).

tcf(c_221171,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,s(X1))
      | subq(s(X1),p(s(X0)))
      | ( s(X0) = X1 )
      | ( sK0(s(X0),X1) = X0 ) ),
    inference(superposition,[status(thm)],[c_201224,c_50]) ).

tcf(c_221173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(s(X2)))
      | ( s(X2) = X0 )
      | ( sK0(s(X2),X0) = X2 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_201224,c_181283]) ).

tcf(c_221174,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_221169,c_665,c_183366]) ).

tcf(c_221178,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_20)) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_221168,c_666]) ).

tcf(c_221182,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_17)) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_221166,c_192554]) ).

tcf(c_221186,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(s(X0),p(iPr_def_16)) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_221164,c_193015]) ).

tcf(c_221190,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(s(X0),p(iPr_def_14)) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_221162,c_193293]) ).

tcf(c_221194,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(s(X0),p(iPr_def_10)) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_221161,c_656]) ).

tcf(c_221228,plain,
    ! [X0: $i] : ~ mem(iPr_def_19,m(X0,iPr_def_20)),
    inference(global_subsumption_just,[status(thm)],[c_221014,c_1183,c_12383]) ).

tcf(c_221230,plain,
    ! [X0: $i] : sK0(s(iPr_def_19),m(X0,iPr_def_20)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_182860,c_221228]) ).

tcf(c_221232,plain,
    ! [X0: $i] :
      ( ( sK0(s(m(X0,iPr_def_20)),p(iPr_def_21)) = m(X0,iPr_def_20) )
      | ~ atleast3p(m(X0,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_201860,c_221228]) ).

tcf(c_221233,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(m(X0,iPr_def_20),X1)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_187681,c_221228]) ).

tcf(c_221234,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_14,m(X0,iPr_def_20)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_221228]) ).

tcf(c_221236,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_20)),
    inference(superposition,[status(thm)],[c_205440,c_221228]) ).

tcf(c_221237,plain,
    ( ~ atleast3p(m(iPr_def_12,iPr_def_20))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206353,c_221228]) ).

tcf(c_221238,plain,
    ~ mem(iPr_def_19,e),
    inference(superposition,[status(thm)],[c_205214,c_221228]) ).

tcf(c_221266,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_19),m(X0,iPr_def_21)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_221029]) ).

tcf(c_221268,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(X0,iPr_def_21))
      | ( sK0(s(m(X0,iPr_def_21)),p(iPr_def_21)) = m(X0,iPr_def_21) )
      | ~ atleast3p(m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201860,c_221029]) ).

tcf(c_221269,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(X0,iPr_def_21))
      | ( sK0(iPr_def_20,m(m(X0,iPr_def_21),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_221029]) ).

tcf(c_221273,plain,
    ( subq(iPr_def_20,m(iPr_def_12,iPr_def_21))
    | ~ atleast3p(m(iPr_def_12,iPr_def_21))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206353,c_221029]) ).

tcf(c_221274,plain,
    ( subq(iPr_def_20,m(e,iPr_def_21))
    | ~ mem(iPr_def_19,e) ),
    inference(superposition,[status(thm)],[c_205214,c_221029]) ).

tcf(c_221305,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_10),m(X0,iPr_def_21)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_221064]) ).

tcf(c_221307,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(iPr_def_16,p(m(X0,iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_221064]) ).

tcf(c_221308,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(iPr_def_14,p(m(X0,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_221064]) ).

tcf(c_221309,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(s(m(X0,iPr_def_21)),p(iPr_def_21)) = m(X0,iPr_def_21) )
      | ~ atleast3p(m(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_201858,c_221064]) ).

tcf(c_221310,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(iPr_def_12,m(m(X0,iPr_def_21),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_221064]) ).

tcf(c_221314,plain,
    ( subq(iPr_def_12,m(iPr_def_12,iPr_def_21))
    | ~ atleast3p(m(iPr_def_12,iPr_def_21))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206351,c_221064]) ).

tcf(c_221315,plain,
    ( subq(iPr_def_12,m(e,iPr_def_21))
    | ~ mem(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_205214,c_221064]) ).

tcf(c_221380,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(s(iPr_def_10),m(X0,iPr_def_13)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_221090]) ).

tcf(c_221382,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(iPr_def_16,p(m(X0,iPr_def_13))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_221090]) ).

tcf(c_221383,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(iPr_def_14,p(m(X0,iPr_def_13))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_221090]) ).

tcf(c_221384,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(s(m(X0,iPr_def_13)),p(iPr_def_21)) = m(X0,iPr_def_13) )
      | ~ atleast3p(m(X0,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_201858,c_221090]) ).

tcf(c_221385,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(iPr_def_12,m(m(X0,iPr_def_13),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_221090]) ).

tcf(c_221387,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(iPr_def_17,m(X0,iPr_def_13)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_221090]) ).

tcf(c_221388,plain,
    ( subq(iPr_def_12,m(iPr_def_21,iPr_def_13))
    | ~ atleast3p(m(iPr_def_21,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_205438,c_221090]) ).

tcf(c_221389,plain,
    ( subq(iPr_def_12,m(iPr_def_12,iPr_def_13))
    | ~ atleast3p(m(iPr_def_12,iPr_def_13))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206351,c_221090]) ).

tcf(c_221390,plain,
    ( subq(iPr_def_12,m(e,iPr_def_13))
    | ~ mem(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_205214,c_221090]) ).

tcf(c_221423,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ~ mem(iPr_def_10,m(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_220167,c_49]) ).

tcf(c_221425,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_220167,c_190419]) ).

tcf(c_221429,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_15))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220167,c_181283]) ).

tcf(c_221430,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_15))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220167,c_183073]) ).

tcf(c_221431,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_15))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220167,c_182629]) ).

tcf(c_221432,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_15))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220167,c_183665]) ).

tcf(c_221470,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_12))
      | ~ mem(iPr_def_10,m(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_220168,c_49]) ).

tcf(c_221472,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_220168,c_190419]) ).

tcf(c_221476,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_12))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220168,c_181283]) ).

tcf(c_221477,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_12))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220168,c_183073]) ).

tcf(c_221478,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_12))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220168,c_182629]) ).

tcf(c_221479,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,iPr_def_12))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220168,c_183665]) ).

tcf(c_221496,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(X0,p(iPr_def_13)))
      | ~ mem(iPr_def_13,m(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_218125,c_49]) ).

tcf(c_221500,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_218125,c_186953]) ).

tcf(c_221503,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_218125,c_181283]) ).

tcf(c_221504,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_218125,c_183082]) ).

tcf(c_221505,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218125,c_183910]) ).

tcf(c_221529,plain,
    ( ( sK0(s(iPr_def_19),p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_198897,c_221237]) ).

tcf(c_221531,plain,
    ( ( sK0(iPr_def_20,p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_187682,c_221237]) ).

tcf(c_221551,plain,
    ( subq(s(iPr_def_18),p(iPr_def_16))
    | ( iPr_def_16 = iPr_def_18 )
    | ~ mem(iPr_def_18,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_201226,c_49]) ).

tcf(c_221552,plain,
    ( mem(iPr_def_18,s(iPr_def_18))
    | subq(s(iPr_def_18),p(iPr_def_16))
    | ( iPr_def_16 = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_201226,c_50]) ).

tcf(c_221554,plain,
    ! [X0: $i] :
      ( mem(iPr_def_18,X0)
      | subq(s(iPr_def_18),p(iPr_def_16))
      | ( iPr_def_16 = iPr_def_18 )
      | ~ subq(s(iPr_def_18),X0) ),
    inference(superposition,[status(thm)],[c_201226,c_181283]) ).

tcf(c_221567,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(s(iPr_def_10),m(X0,iPr_def_15)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_221423]) ).

tcf(c_221569,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(iPr_def_16,p(m(X0,iPr_def_15))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_221423]) ).

tcf(c_221570,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(iPr_def_14,p(m(X0,iPr_def_15))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_221423]) ).

tcf(c_221571,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(s(m(X0,iPr_def_15)),p(iPr_def_21)) = m(X0,iPr_def_15) )
      | ~ atleast3p(m(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_201858,c_221423]) ).

tcf(c_221572,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(iPr_def_12,m(m(X0,iPr_def_15),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_221423]) ).

tcf(c_221574,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_221423]) ).

tcf(c_221575,plain,
    ( subq(iPr_def_12,m(iPr_def_21,iPr_def_15))
    | ~ atleast3p(m(iPr_def_21,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_205438,c_221423]) ).

tcf(c_221576,plain,
    ( subq(iPr_def_12,m(iPr_def_12,iPr_def_15))
    | ~ atleast3p(m(iPr_def_12,iPr_def_15))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206351,c_221423]) ).

tcf(c_221577,plain,
    ( subq(iPr_def_12,m(e,iPr_def_15))
    | ~ mem(iPr_def_10,e) ),
    inference(superposition,[status(thm)],[c_205214,c_221423]) ).

tcf(c_221620,plain,
    ! [X0: $i] : ~ mem(iPr_def_10,m(X0,iPr_def_12)),
    inference(global_subsumption_just,[status(thm)],[c_221470,c_4955,c_178767]) ).

tcf(c_221623,plain,
    ! [X0: $i] : sK0(s(iPr_def_10),m(X0,iPr_def_12)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_182860,c_221620]) ).

tcf(c_221625,plain,
    ! [X0: $i] : sK0(iPr_def_16,p(m(X0,iPr_def_12))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_191646,c_221620]) ).

tcf(c_221626,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(X0,iPr_def_12))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_191563,c_221620]) ).

tcf(c_221627,plain,
    ! [X0: $i] :
      ( ( sK0(s(m(X0,iPr_def_12)),p(iPr_def_21)) = m(X0,iPr_def_12) )
      | ~ atleast3p(m(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_201858,c_221620]) ).

tcf(c_221628,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(m(X0,iPr_def_12),X1)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_189954,c_221620]) ).

tcf(c_221630,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_17,m(X0,iPr_def_12)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_221620]) ).

tcf(c_221631,plain,
    ~ atleast3p(m(iPr_def_21,iPr_def_12)),
    inference(superposition,[status(thm)],[c_205438,c_221620]) ).

tcf(c_221632,plain,
    ( ~ atleast3p(m(iPr_def_12,iPr_def_12))
    | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206351,c_221620]) ).

tcf(c_221633,plain,
    ~ mem(iPr_def_10,e),
    inference(superposition,[status(thm)],[c_205214,c_221620]) ).

tcf(c_221727,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202827]) ).

tcf(c_221728,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202514]) ).

tcf(c_221729,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202427]) ).

tcf(c_221730,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202290]) ).

tcf(c_221731,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202176]) ).

tcf(c_221732,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_65]) ).

tcf(c_221733,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ subq(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_52]) ).

tcf(c_221736,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X1)) = iPr_def_13 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_193589,c_207878]) ).

tcf(c_221737,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202038]) ).

tcf(c_221738,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_180993]) ).

tcf(c_221739,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_13),X0)
      | ( sK0(p(iPr_def_13),X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(sK0(p(iPr_def_13),X0)),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_181359]) ).

tcf(c_221740,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_193589,c_184450]) ).

tcf(c_221741,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_215191]) ).

tcf(c_221742,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_211808]) ).

tcf(c_221743,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193589,c_186861]) ).

tcf(c_221744,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193589,c_187427]) ).

tcf(c_221745,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193589,c_186839]) ).

tcf(c_221746,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_183332]) ).

tcf(c_221747,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_181444]) ).

tcf(c_221749,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,m(p(s(X0)),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_181560]) ).

tcf(c_221750,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_19)
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_190127]) ).

tcf(c_221751,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_183057]) ).

tcf(c_221752,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_10),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_183335]) ).

tcf(c_221753,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_14),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_201961]) ).

tcf(c_221754,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_20 )
      | ( sK0(iPr_def_14,m(p(iPr_def_20),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_217412]) ).

tcf(c_221755,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_180963]) ).

tcf(c_221756,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_18 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_18),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_210202]) ).

tcf(c_221757,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_15 )
      | ( sK0(s(iPr_def_13),p(iPr_def_21)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_15),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_202127]) ).

tcf(c_221767,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_221738,c_665]) ).

tcf(c_221772,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_221751,c_665]) ).

tcf(c_221781,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(iPr_def_19,X1)) = iPr_def_13 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_221736,c_665]) ).

tcf(c_221800,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_221732,c_189619]) ).

tcf(c_221833,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_12)
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_193771,c_65]) ).

tcf(c_221834,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_193771,c_52]) ).

tcf(c_221837,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(p(iPr_def_12),X1)) = iPr_def_12 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_193771,c_207878]) ).

tcf(c_221840,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_193771,c_184414]) ).

tcf(c_221841,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193771,c_195726]) ).

tcf(c_221842,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193771,c_186629]) ).

tcf(c_221843,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193771,c_186418]) ).

tcf(c_221844,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193771,c_186373]) ).

tcf(c_221845,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193771,c_187372]) ).

tcf(c_221846,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_193771,c_186666]) ).

tcf(c_221847,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193771,c_183347]) ).

tcf(c_221849,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(p(sK0(p(iPr_def_12),X0)),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193771,c_181359]) ).

tcf(c_221859,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_16,m(iPr_def_19,X1)) = iPr_def_12 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_221837,c_665]) ).

tcf(c_221898,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(p(sK0(iPr_def_19,X0)),X1)) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_221849,c_665]) ).

tcf(c_221903,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(X0,p(iPr_def_13)))
      | ~ mem(iPr_def_12,m(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_218546,c_49]) ).

tcf(c_221906,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_218546,c_187457]) ).

tcf(c_221909,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218546,c_181283]) ).

tcf(c_221910,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218546,c_183681]) ).

tcf(c_221911,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218546,c_182675]) ).

tcf(c_221925,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(X0,p(iPr_def_19)))
      | ~ mem(iPr_def_19,m(X0,p(iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_219271,c_49]) ).

tcf(c_221927,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(X1,p(iPr_def_19)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_219271,c_181283]) ).

tcf(c_221928,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(X0,p(iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_219271,c_188300]) ).

tcf(c_221930,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(X1,p(iPr_def_19)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219271,c_183272]) ).

tcf(c_221941,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(X0,iPr_def_16)))
      | ~ mem(iPr_def_19,p(m(X0,iPr_def_16))) ),
    inference(superposition,[status(thm)],[c_219650,c_49]) ).

tcf(c_221943,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(X0,iPr_def_16)))
      | ~ subq(iPr_def_19,m(X0,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_219650,c_181012]) ).

tcf(c_221944,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(X1,iPr_def_16)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_219650,c_181283]) ).

tcf(c_221945,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(X0,iPr_def_16))) ),
    inference(superposition,[status(thm)],[c_219650,c_188300]) ).

tcf(c_221947,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(X1,iPr_def_16)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219650,c_183272]) ).

tcf(c_221992,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_202827]) ).

tcf(c_221993,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_202514]) ).

tcf(c_221994,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_202427]) ).

tcf(c_221995,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_202290]) ).

tcf(c_221998,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_221755,c_52]) ).

tcf(c_221999,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_215595]) ).

tcf(c_222000,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_214259]) ).

tcf(c_222001,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_213166]) ).

tcf(c_222002,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_209799]) ).

tcf(c_222003,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_184804]) ).

tcf(c_222005,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_184534]) ).

tcf(c_222007,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_181843]) ).

tcf(c_222008,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_181840]) ).

tcf(c_222009,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_181422]) ).

tcf(c_222010,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_221755,c_181661]) ).

tcf(c_222045,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_221995,c_183066]) ).

tcf(c_222050,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_221994,c_183066]) ).

tcf(c_222055,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_221993,c_183066]) ).

tcf(c_222060,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_221992,c_183066]) ).

tcf(c_222103,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_17 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_221999,c_52]) ).

tcf(c_222106,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_221999,c_193438]) ).

tcf(c_222131,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222000,c_52]) ).

tcf(c_222151,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_20 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222001,c_52]) ).

tcf(c_222179,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_18 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222002,c_52]) ).

tcf(c_222184,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222002,c_186601]) ).

tcf(c_222208,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222003,c_52]) ).

tcf(c_222210,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222003,c_186343]) ).

tcf(c_222211,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222003,c_186324]) ).

tcf(c_222212,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222003,c_186305]) ).

tcf(c_222239,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_202827]) ).

tcf(c_222240,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_202514]) ).

tcf(c_222241,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_202427]) ).

tcf(c_222242,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_202290]) ).

tcf(c_222245,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_15 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222005,c_52]) ).

tcf(c_222249,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_182657]) ).

tcf(c_222250,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_182420]) ).

tcf(c_222251,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222005,c_182362]) ).

tcf(c_222391,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222007,c_51]) ).

tcf(c_222392,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222007,c_183534]) ).

tcf(c_222393,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,iPr_def_13)) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222007,c_187546]) ).

tcf(c_222409,plain,
    ( subq(s(iPr_def_21),p(iPr_def_18))
    | ( iPr_def_18 = iPr_def_21 )
    | ~ mem(iPr_def_21,p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_201227,c_49]) ).

tcf(c_222410,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(iPr_def_18))
    | ( iPr_def_18 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201227,c_50]) ).

tcf(c_222412,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(iPr_def_18))
      | ( iPr_def_18 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201227,c_181283]) ).

tcf(c_222430,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_16)
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_194166,c_65]) ).

tcf(c_222431,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 )
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_194166,c_52]) ).

tcf(c_222434,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(p(iPr_def_12),X1)) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_194166,c_207878]) ).

tcf(c_222436,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_17,m(p(iPr_def_12),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_194166,c_180993]) ).

tcf(c_222437,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_194166,c_189313]) ).

tcf(c_222438,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_194166,c_183780]) ).

tcf(c_222439,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_194166,c_181291]) ).

tcf(c_222441,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_16),X0)
      | ( sK0(p(iPr_def_16),X0) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(p(sK0(p(iPr_def_16),X0)),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_194166,c_181359]) ).

tcf(c_222451,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_222436,c_665]) ).

tcf(c_222457,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_17,m(iPr_def_19,X1)) = iPr_def_16 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_222434,c_665]) ).

tcf(c_222481,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202827]) ).

tcf(c_222482,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202514]) ).

tcf(c_222483,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202427]) ).

tcf(c_222484,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202290]) ).

tcf(c_222485,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202176]) ).

tcf(c_222486,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_65]) ).

tcf(c_222487,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ subq(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_52]) ).

tcf(c_222490,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(p(iPr_def_12),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_194428,c_207878]) ).

tcf(c_222491,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_19 )
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(iPr_def_12),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202038]) ).

tcf(c_222492,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_12),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_180993]) ).

tcf(c_222493,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,X0)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_194428,c_184166]) ).

tcf(c_222494,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_181295]) ).

tcf(c_222495,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_181294]) ).

tcf(c_222497,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_19),X0)
      | ( sK0(p(iPr_def_19),X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(sK0(p(iPr_def_19),X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_181359]) ).

tcf(c_222498,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_181560]) ).

tcf(c_222503,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(iPr_def_18),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_194428,c_207661]) ).

tcf(c_222504,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(iPr_def_12),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_194428,c_192307]) ).

tcf(c_222505,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(iPr_def_14),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_194428,c_205963]) ).

tcf(c_222506,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(iPr_def_20),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_194428,c_206310]) ).

tcf(c_222507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_205281]) ).

tcf(c_222508,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_180963]) ).

tcf(c_222510,plain,
    ! [X0: $i] :
      ( ( iPr_def_15 = iPr_def_19 )
      | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(iPr_def_15),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_194428,c_202127]) ).

tcf(c_222511,plain,
    ! [X0: $i] : sK0(iPr_def_20,m(p(iPr_def_17),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_194428,c_205975]) ).

tcf(c_222512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(m(X0,X1)),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_205284]) ).

tcf(c_222513,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(p(iPr_def_21)),X0)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_194428,c_221237]) ).

tcf(c_222514,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(p(iPr_def_21)),X0)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_194428,c_220043]) ).

tcf(c_222515,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(p(iPr_def_21)),X0)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_194428,c_219709]) ).

tcf(c_222516,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(p(iPr_def_21)),X0)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_194428,c_219659]) ).

tcf(c_222517,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(p(iPr_def_21)),X0)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_194428,c_218487]) ).

tcf(c_222541,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,m(iPr_def_19,X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_222490,c_665]) ).

tcf(c_222549,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_222486,c_188368]) ).

tcf(c_222656,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202827]) ).

tcf(c_222657,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202514]) ).

tcf(c_222658,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202427]) ).

tcf(c_222659,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202290]) ).

tcf(c_222660,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202176]) ).

tcf(c_222661,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | subq(X0,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_65]) ).

tcf(c_222662,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ subq(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_52]) ).

tcf(c_222665,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(p(iPr_def_12),X1)) = iPr_def_10 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_194632,c_207878]) ).

tcf(c_222666,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_12),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202038]) ).

tcf(c_222667,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_12,m(p(iPr_def_12),X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_180993]) ).

tcf(c_222668,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_181288]) ).

tcf(c_222670,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_10),X0)
      | ( sK0(p(iPr_def_10),X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(sK0(p(iPr_def_10),X0)),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_181359]) ).

tcf(c_222672,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_14 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_14),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_201961]) ).

tcf(c_222673,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_20 )
      | ( sK0(iPr_def_12,m(p(iPr_def_20),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_217412]) ).

tcf(c_222674,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(p(iPr_def_12),X0)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_194632,c_194794]) ).

tcf(c_222675,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_180963]) ).

tcf(c_222676,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_18 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_18),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_210202]) ).

tcf(c_222677,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_15 )
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_15),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_202127]) ).

tcf(c_222678,plain,
    ! [X0: $i] : sK0(iPr_def_12,m(iPr_def_19,X0)) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_222674,c_665]) ).

tcf(c_222688,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(iPr_def_19,X1)) = iPr_def_10 )
      | ~ subq(iPr_def_19,X0) ),
    inference(light_normalisation,[status(thm)],[c_222665,c_665]) ).

tcf(c_222702,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222660,c_183366]) ).

tcf(c_222707,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222659,c_183366]) ).

tcf(c_222712,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222658,c_183366]) ).

tcf(c_222717,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222657,c_183366]) ).

tcf(c_222722,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222656,c_183366]) ).

tcf(c_222727,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_15 )
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_15),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222677,c_183366]) ).

tcf(c_222732,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_18 )
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_18),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222676,c_183366]) ).

tcf(c_222737,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_14 )
      | ( sK0(iPr_def_12,p(iPr_def_21)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_14),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_222672,c_183366]) ).

tcf(c_222851,plain,
    ~ mem(e,iPr_def_21),
    inference(global_subsumption_just,[status(thm)],[c_198859,c_68,c_69,c_74,c_1179,c_1189,c_1266,c_1267,c_1268,c_1282,c_1668,c_1742,c_1743,c_2800,c_3080,c_3215,c_35004,c_37008,c_44248,c_172304,c_172647]) ).

tcf(c_222853,plain,
    sK0(s(e),iPr_def_21) = e,
    inference(superposition,[status(thm)],[c_182860,c_222851]) ).

tcf(c_222857,plain,
    sK0(iPr_def_10,iPr_def_21) = e,
    inference(superposition,[status(thm)],[c_181810,c_222851]) ).

tcf(c_222871,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ~ mem(iPr_def_10,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222678,c_49]) ).

tcf(c_222873,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222678,c_190419]) ).

tcf(c_222877,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_19,X1))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_222678,c_181283]) ).

tcf(c_222878,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_19,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222678,c_183073]) ).

tcf(c_222879,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_19,X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_222678,c_182629]) ).

tcf(c_222880,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_19,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222678,c_183665]) ).

tcf(c_222899,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(m(X0,iPr_def_16)))
      | ~ mem(iPr_def_16,p(m(X0,iPr_def_16))) ),
    inference(superposition,[status(thm)],[c_219651,c_49]) ).

tcf(c_222901,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(m(X0,iPr_def_16)))
      | ~ subq(iPr_def_16,m(X0,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_219651,c_181012]) ).

tcf(c_222902,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,p(m(X0,iPr_def_16))) ),
    inference(superposition,[status(thm)],[c_219651,c_187918]) ).

tcf(c_222905,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(m(X1,iPr_def_16)))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_219651,c_181283]) ).

tcf(c_222906,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(m(X1,iPr_def_16)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219651,c_184132]) ).

tcf(c_222907,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(m(X1,iPr_def_16)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_219651,c_183103]) ).

tcf(c_222942,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(X0,iPr_def_19)))
      | ~ mem(iPr_def_19,p(m(X0,iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_219700,c_49]) ).

tcf(c_222944,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(X0,iPr_def_19)))
      | ~ subq(iPr_def_19,m(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_219700,c_181012]) ).

tcf(c_222945,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(X1,iPr_def_19)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_219700,c_181283]) ).

tcf(c_222946,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(X0,iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_219700,c_188300]) ).

tcf(c_222948,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(X1,iPr_def_19)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219700,c_183272]) ).

tcf(c_222973,plain,
    ! [X0: $i] :
      ( ~ atleast3p(iPr_def_19)
      | ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_222508,c_74089]) ).

tcf(c_222974,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(iPr_def_21),X0)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_19) ),
    inference(renaming,[status(thm)],[c_222973]) ).

tcf(c_222985,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_202827]) ).

tcf(c_222986,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_202514]) ).

tcf(c_222987,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_202427]) ).

tcf(c_222988,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_202290]) ).

tcf(c_222989,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_202176]) ).

tcf(c_222991,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_222675,c_52]) ).

tcf(c_222992,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_215595]) ).

tcf(c_222993,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_214259]) ).

tcf(c_222994,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_213166]) ).

tcf(c_222995,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_209799]) ).

tcf(c_222996,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_184804]) ).

tcf(c_222997,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_184712]) ).

tcf(c_222998,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_184534]) ).

tcf(c_222999,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_183356]) ).

tcf(c_223000,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_181843]) ).

tcf(c_223001,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_181840]) ).

tcf(c_223002,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_181422]) ).

tcf(c_223003,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222675,c_181661]) ).

tcf(c_223044,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_222989,c_183066]) ).

tcf(c_223049,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_222988,c_183066]) ).

tcf(c_223054,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_222987,c_183066]) ).

tcf(c_223059,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_222986,c_183066]) ).

tcf(c_223064,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_222985,c_183066]) ).

tcf(c_223185,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222008,c_51]) ).

tcf(c_223186,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222008,c_183534]) ).

tcf(c_223187,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,iPr_def_13)) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222008,c_187680]) ).

tcf(c_223210,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222009,c_51]) ).

tcf(c_223211,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222009,c_183534]) ).

tcf(c_223212,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,iPr_def_13)) = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222009,c_187219]) ).

tcf(c_223231,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222010,c_51]) ).

tcf(c_223232,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | mem(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222010,c_183534]) ).

tcf(c_223233,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,iPr_def_13)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222010,c_187127]) ).

tcf(c_223276,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_17 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222992,c_52]) ).

tcf(c_223278,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222992,c_193464]) ).

tcf(c_223279,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222992,c_193438]) ).

tcf(c_223312,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222993,c_52]) ).

tcf(c_223333,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_20 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222994,c_52]) ).

tcf(c_223346,plain,
    ( subq(s(iPr_def_15),p(iPr_def_14))
    | ( iPr_def_14 = iPr_def_15 )
    | ~ mem(iPr_def_15,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_201230,c_49]) ).

tcf(c_223347,plain,
    ( mem(iPr_def_15,s(iPr_def_15))
    | subq(s(iPr_def_15),p(iPr_def_14))
    | ( iPr_def_14 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_201230,c_50]) ).

tcf(c_223349,plain,
    ! [X0: $i] :
      ( mem(iPr_def_15,X0)
      | subq(s(iPr_def_15),p(iPr_def_14))
      | ( iPr_def_14 = iPr_def_15 )
      | ~ subq(s(iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_201230,c_181283]) ).

tcf(c_223362,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(s(iPr_def_10),m(iPr_def_19,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_182860,c_222871]) ).

tcf(c_223363,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_19,X0))
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_59,c_222871]) ).

tcf(c_223364,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(iPr_def_16,p(m(iPr_def_19,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_191646,c_222871]) ).

tcf(c_223365,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(m(iPr_def_19,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191563,c_222871]) ).

tcf(c_223366,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(s(m(iPr_def_19,X0)),p(iPr_def_21)) = m(iPr_def_19,X0) )
      | ~ atleast3p(m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_201858,c_222871]) ).

tcf(c_223367,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(iPr_def_12,m(m(iPr_def_19,X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_222871]) ).

tcf(c_223369,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_189368,c_222871]) ).

tcf(c_223407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X1)
      | ( sK0(s(sK0(X0,X1)),m(X1,X2)) = sK0(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_198896,c_49]) ).

tcf(c_223408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X2,X1)
      | ( sK0(s(X2),m(X0,X3)) = X2 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_198896,c_51]) ).

tcf(c_223409,plain,
    ! [X0: $i,X1: $i] : sK0(s(X0),m(e,X1)) = X0,
    inference(superposition,[status(thm)],[c_198896,c_53]) ).

tcf(c_223410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(s(X1))
      | mem(X1,p(X0))
      | ( sK0(s(X0),m(s(X1),X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_182858]) ).

tcf(c_223411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ( sK0(s(X0),m(s(X1),X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_55]) ).

tcf(c_223412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X2)
      | mem(X0,X1)
      | ( sK0(s(X0),m(u(X1,X2),X3)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_58]) ).

tcf(c_223413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(s(X0),m(m(X2,X1),X3)) = X0 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_198896,c_61]) ).

tcf(c_223414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X1)
      | ( sK0(s(X0),m(m(X1,X2),X3)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_60]) ).

tcf(c_223415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X1)
      | ( sK0(s(X0),m(p(X1),X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_63]) ).

tcf(c_223416,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_12)
      | ( sK0(s(X0),m(iPr_def_19,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181002]) ).

tcf(c_223417,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_13)
      | ( sK0(s(X0),m(iPr_def_10,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_183361]) ).

tcf(c_223418,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(s(X0),m(iPr_def_10,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181021]) ).

tcf(c_223419,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,X0)
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_190313]) ).

tcf(c_223420,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_183362]) ).

tcf(c_223421,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_13)
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181149]) ).

tcf(c_223422,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_15)
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181127]) ).

tcf(c_223423,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,X0)
      | ( sK0(s(X0),m(iPr_def_14,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_186900]) ).

tcf(c_223424,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_15)
      | ( sK0(s(X0),m(iPr_def_14,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181150]) ).

tcf(c_223425,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(s(X0),m(iPr_def_14,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181023]) ).

tcf(c_223426,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,X0)
      | ( sK0(s(X0),m(iPr_def_16,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187056]) ).

tcf(c_223427,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_18)
      | ( sK0(s(X0),m(iPr_def_16,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181128]) ).

tcf(c_223428,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(s(X0),m(iPr_def_16,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181024]) ).

tcf(c_223429,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,X0)
      | ( sK0(s(X0),m(iPr_def_17,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187496]) ).

tcf(c_223430,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_18)
      | ( sK0(s(X0),m(iPr_def_17,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181151]) ).

tcf(c_223431,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(s(X0),m(iPr_def_17,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181025]) ).

tcf(c_223432,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,X0)
      | ( sK0(s(X0),m(iPr_def_20,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187975]) ).

tcf(c_223433,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(s(X0),m(iPr_def_20,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181152]) ).

tcf(c_223434,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(s(X0),m(iPr_def_20,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181026]) ).

tcf(c_223435,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_20,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_189654]) ).

tcf(c_223436,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_17,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_189349]) ).

tcf(c_223437,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_16,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_188033]) ).

tcf(c_223438,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_14,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_188023]) ).

tcf(c_223439,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_12,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_185745]) ).

tcf(c_223440,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_12)
      | mem(X0,iPr_def_10)
      | ( sK0(s(X0),m(iPr_def_13,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_183534]) ).

tcf(c_223441,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_14)
      | mem(X0,iPr_def_12)
      | ( sK0(s(X0),m(iPr_def_15,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181400]) ).

tcf(c_223442,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(s(X0),m(iPr_def_15,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181130]) ).

tcf(c_223443,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_17)
      | mem(X0,iPr_def_16)
      | ( sK0(s(X0),m(iPr_def_18,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181401]) ).

tcf(c_223444,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(s(X0),m(iPr_def_18,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181129]) ).

tcf(c_223445,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_20)
      | mem(X0,iPr_def_18)
      | ( sK0(s(X0),m(iPr_def_21,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181402]) ).

tcf(c_223446,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_15,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_186043]) ).

tcf(c_223447,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_18,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_189664]) ).

tcf(c_223448,plain,
    ! [X0: $i] : sK0(s(e),m(iPr_def_21,X0)) = e,
    inference(superposition,[status(thm)],[c_198896,c_222851]) ).

tcf(c_223449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(X2,X0)) = iPr_def_12 )
      | ( sK0(s(iPr_def_12),m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187219]) ).

tcf(c_223450,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(s(iPr_def_12),m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_181263]) ).

tcf(c_223451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(X2,X0)) = e )
      | ( sK0(s(e),m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_185755]) ).

tcf(c_223452,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(X2,X0)) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187127]) ).

tcf(c_223453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(X2,X0)) = iPr_def_16 )
      | ( sK0(s(iPr_def_16),m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187546]) ).

tcf(c_223454,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(X2,X0)) = iPr_def_19 )
      | ( sK0(s(iPr_def_19),m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187680]) ).

tcf(c_223455,plain,
    ! [X0: $i] : sK0(s(iPr_def_13),m(p(e),X0)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_198896,c_195984]) ).

tcf(c_223456,plain,
    ! [X0: $i] : sK0(s(iPr_def_12),m(p(e),X0)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_198896,c_200296]) ).

tcf(c_223457,plain,
    ! [X0: $i] : sK0(s(iPr_def_16),m(p(e),X0)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_198896,c_201128]) ).

tcf(c_223458,plain,
    ! [X0: $i] : sK0(s(iPr_def_19),m(p(e),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198896,c_202951]) ).

tcf(c_223459,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_10)
      | ( sK0(s(iPr_def_13),m(iPr_def_10,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_190646]) ).

tcf(c_223460,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_12)
      | ( iPr_def_10 = iPr_def_13 )
      | ( sK0(s(iPr_def_13),m(iPr_def_12,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_200404]) ).

tcf(c_223461,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_16)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(s(iPr_def_13),m(iPr_def_16,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_200694]) ).

tcf(c_223462,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_10)
      | ( sK0(s(iPr_def_12),m(iPr_def_10,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_190801]) ).

tcf(c_223463,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_10 = iPr_def_12 )
      | ( sK0(s(iPr_def_12),m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_200935]) ).

tcf(c_223464,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(s(iPr_def_12),m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_199145]) ).

tcf(c_223465,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,iPr_def_19)
      | ( sK0(s(iPr_def_12),m(iPr_def_12,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_190311]) ).

tcf(c_223466,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(s(iPr_def_12),m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_191201]) ).

tcf(c_223467,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(s(iPr_def_12),m(iPr_def_14,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_186898]) ).

tcf(c_223468,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | ( iPr_def_16 = iPr_def_17 )
      | ( sK0(s(iPr_def_12),m(iPr_def_17,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_191174]) ).

tcf(c_223469,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(s(iPr_def_12),m(iPr_def_17,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187494]) ).

tcf(c_223470,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_20)
      | ( sK0(s(iPr_def_12),m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_191045]) ).

tcf(c_223471,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,iPr_def_19)
      | ( sK0(s(iPr_def_12),m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187973]) ).

tcf(c_223472,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_10)
      | ( sK0(s(iPr_def_16),m(iPr_def_10,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_185546]) ).

tcf(c_223473,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_12)
      | ( iPr_def_10 = iPr_def_16 )
      | ( sK0(s(iPr_def_16),m(iPr_def_12,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_202801]) ).

tcf(c_223474,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_14)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(s(iPr_def_16),m(iPr_def_14,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_202813]) ).

tcf(c_223475,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_16)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(s(iPr_def_16),m(iPr_def_16,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_202975]) ).

tcf(c_223476,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(s(iPr_def_16),m(iPr_def_20,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_192580]) ).

tcf(c_223477,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,iPr_def_20)
      | ( sK0(s(iPr_def_16),m(iPr_def_20,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_185848]) ).

tcf(c_223478,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_10)
      | ( sK0(s(iPr_def_19),m(iPr_def_10,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_187902]) ).

tcf(c_223479,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(s(iPr_def_19),m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_202987]) ).

tcf(c_223480,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_12)
      | ( iPr_def_12 = iPr_def_20 )
      | ( sK0(s(iPr_def_19),m(iPr_def_12,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_200634]) ).

tcf(c_223481,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_14)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(iPr_def_19),m(iPr_def_14,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_203290]) ).

tcf(c_223482,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_16)
      | ( sK0(s(iPr_def_19),m(iPr_def_16,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_192767]) ).

tcf(c_223483,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_17)
      | ( sK0(s(iPr_def_19),m(iPr_def_17,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_194109]) ).

tcf(c_223484,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_19)
      | ( sK0(s(iPr_def_10),m(iPr_def_19,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_194352]) ).

tcf(c_223485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(X2,X0)) = iPr_def_10 )
      | ( sK0(s(iPr_def_10),m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_189953]) ).

tcf(c_223486,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_10)
      | ( sK0(s(iPr_def_10),m(iPr_def_10,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_194975]) ).

tcf(c_223487,plain,
    ! [X0: $i] : sK0(s(iPr_def_10),m(p(e),X0)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_198896,c_203853]) ).

tcf(c_223488,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,iPr_def_19)
      | ( sK0(s(iPr_def_19),m(iPr_def_19,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_191732]) ).

tcf(c_223489,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,iPr_def_19)
      | ( sK0(s(iPr_def_13),m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_190123]) ).

tcf(c_223490,plain,
    ! [X0: $i,X1: $i] : sK0(s(iPr_def_13),m(m(X0,iPr_def_14),X1)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_198896,c_218478]) ).

tcf(c_223491,plain,
    ! [X0: $i,X1: $i] : sK0(s(iPr_def_12),m(m(X0,iPr_def_16),X1)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_198896,c_219646]) ).

tcf(c_223492,plain,
    ! [X0: $i,X1: $i] : sK0(s(iPr_def_16),m(m(X0,iPr_def_17),X1)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_198896,c_220034]) ).

tcf(c_223493,plain,
    ! [X0: $i,X1: $i] : sK0(s(iPr_def_19),m(m(X0,iPr_def_20),X1)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198896,c_221228]) ).

tcf(c_223494,plain,
    ! [X0: $i] : sK0(s(iPr_def_19),m(p(p(e)),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198896,c_218071]) ).

tcf(c_223495,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_14))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_14),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_205968]) ).

tcf(c_223496,plain,
    ! [X0: $i] : sK0(s(iPr_def_19),m(p(iPr_def_16),X0)) = iPr_def_19,
    inference(superposition,[status(thm)],[c_198896,c_192574]) ).

tcf(c_223497,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_17))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_17),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_206303]) ).

tcf(c_223498,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_20))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_20),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_206315]) ).

tcf(c_223499,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(iPr_def_20))
      | ( sK0(s(iPr_def_16),m(p(iPr_def_20),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_216562]) ).

tcf(c_223500,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_10))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_10),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_215082]) ).

tcf(c_223501,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_14))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_14),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_210704]) ).

tcf(c_223502,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_16))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_210684]) ).

tcf(c_223503,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_17))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_17),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_210664]) ).

tcf(c_223504,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_20))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_20),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_210140]) ).

tcf(c_223505,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_19))
      | ( sK0(s(iPr_def_12),m(p(iPr_def_19),X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_213672]) ).

tcf(c_223506,plain,
    ! [X0: $i,X1: $i] : sK0(s(iPr_def_12),m(m(X0,iPr_def_19),X1)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_198896,c_219696]) ).

tcf(c_223507,plain,
    ! [X0: $i] : sK0(s(iPr_def_12),m(p(p(e)),X0)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_198896,c_215139]) ).

tcf(c_223508,plain,
    ! [X0: $i] : sK0(s(iPr_def_16),m(p(p(e)),X0)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_198896,c_216421]) ).

tcf(c_223509,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_19))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_19),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_208162]) ).

tcf(c_223510,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(s(e),m(m(iPr_def_20,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193183]) ).

tcf(c_223511,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(s(e),m(m(iPr_def_12,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193412]) ).

tcf(c_223512,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | ( sK0(s(p(e)),m(iPr_def_16,X0)) = p(e) ) ),
    inference(superposition,[status(thm)],[c_198896,c_215149]) ).

tcf(c_223513,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(s(e),m(m(X0,iPr_def_10),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_217111]) ).

tcf(c_223514,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ( sK0(s(e),m(m(X0,iPr_def_19),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_217125]) ).

tcf(c_223515,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(s(e),m(m(X0,iPr_def_13),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_217166]) ).

tcf(c_223516,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_15))
      | ( sK0(s(iPr_def_13),m(m(X0,iPr_def_15),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_219047]) ).

tcf(c_223517,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_13),m(m(X0,iPr_def_21),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_219069]) ).

tcf(c_223518,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(s(iPr_def_12),m(m(X0,iPr_def_18),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_219579]) ).

tcf(c_223519,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(s(e),m(m(iPr_def_14,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193406]) ).

tcf(c_223520,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_12),m(m(X0,iPr_def_21),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_219911]) ).

tcf(c_223521,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_18))
      | ( sK0(s(iPr_def_16),m(m(X0,iPr_def_18),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_220416]) ).

tcf(c_223522,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(s(e),m(m(iPr_def_16,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193198]) ).

tcf(c_223523,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_16),m(m(X0,iPr_def_21),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_220436]) ).

tcf(c_223524,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_19),m(m(X0,iPr_def_21),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_221029]) ).

tcf(c_223525,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(s(e),m(m(iPr_def_17,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193188]) ).

tcf(c_223526,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(p(e)))
      | ( sK0(s(iPr_def_13),m(p(p(e)),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_208206]) ).

tcf(c_223527,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(s(p(e)),m(iPr_def_20,X0)) = p(e) ) ),
    inference(superposition,[status(thm)],[c_198896,c_218080]) ).

tcf(c_223528,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_13),m(m(iPr_def_10,X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_206066]) ).

tcf(c_223529,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_16),m(m(iPr_def_10,X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_209309]) ).

tcf(c_223530,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X0))
      | ( sK0(s(iPr_def_19),m(m(iPr_def_19,X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_194799]) ).

tcf(c_223531,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_12),m(m(iPr_def_10,X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_207816]) ).

tcf(c_223532,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_19),m(m(iPr_def_10,X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_210349]) ).

tcf(c_223533,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(s(iPr_def_10),m(m(iPr_def_10,X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_211289]) ).

tcf(c_223534,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | ( sK0(s(p(e)),m(iPr_def_17,X0)) = p(e) ) ),
    inference(superposition,[status(thm)],[c_198896,c_216429]) ).

tcf(c_223535,plain,
    ! [X0: $i,X1: $i] : sK0(s(iPr_def_10),m(m(X0,iPr_def_12),X1)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_198896,c_221620]) ).

tcf(c_223536,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(s(e),m(m(iPr_def_15,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193417]) ).

tcf(c_223537,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(s(e),m(m(iPr_def_18,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193423]) ).

tcf(c_223538,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(s(e),m(m(iPr_def_21,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_193999]) ).

tcf(c_223539,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_21))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_211110]) ).

tcf(c_223540,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_18))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_18),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_207666]) ).

tcf(c_223541,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_15))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_15),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_210764]) ).

tcf(c_223542,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(iPr_def_18))
      | ( sK0(s(iPr_def_13),m(p(iPr_def_18),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198896,c_211090]) ).

tcf(c_223543,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_15))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_15),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_217927]) ).

tcf(c_223544,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_21))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_21),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_218258]) ).

tcf(c_223545,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(s(iPr_def_10),m(m(X0,iPr_def_21),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_221064]) ).

tcf(c_223546,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(s(iPr_def_10),m(m(X0,iPr_def_13),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_221090]) ).

tcf(c_223547,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(s(iPr_def_10),m(m(X0,iPr_def_15),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_221423]) ).

tcf(c_223548,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(s(iPr_def_10),m(m(iPr_def_19,X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_198896,c_222871]) ).

tcf(c_223642,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,iPr_def_19)
      | ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_223471,c_193015]) ).

tcf(c_224083,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(m(iPr_def_19,X0))
      | subq(m(iPr_def_19,X0),iPr_def_20)
      | ~ atleast2p(iPr_def_20)
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_200646,c_65]) ).

tcf(c_224084,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( m(iPr_def_19,X0) = iPr_def_20 )
      | ~ mem(iPr_def_19,iPr_def_19)
      | ~ subq(m(iPr_def_19,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_200646,c_52]) ).

tcf(c_224085,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_19,X0)
      | mem(iPr_def_10,m(iPr_def_19,X0))
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_200646,c_186589]) ).

tcf(c_224086,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_19,X0)
      | mem(iPr_def_13,m(iPr_def_19,X0))
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_200646,c_186577]) ).

tcf(c_224087,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | mem(iPr_def_19,m(iPr_def_19,X0))
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_200646,c_181293]) ).

tcf(c_224114,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(m(X0,iPr_def_19)))
      | ~ mem(iPr_def_16,p(m(X0,iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_219701,c_49]) ).

tcf(c_224116,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(m(X0,iPr_def_19)))
      | ~ subq(iPr_def_16,m(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_219701,c_181012]) ).

tcf(c_224117,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,p(m(X0,iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_219701,c_187918]) ).

tcf(c_224120,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(m(X1,iPr_def_19)))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_219701,c_181283]) ).

tcf(c_224121,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(m(X1,iPr_def_19)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_219701,c_184132]) ).

tcf(c_224122,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(m(X1,iPr_def_19)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_219701,c_183103]) ).

tcf(c_224164,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,p(iPr_def_10)))
      | ~ mem(iPr_def_10,m(X0,p(iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_220179,c_49]) ).

tcf(c_224166,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X0,p(iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_220179,c_190419]) ).

tcf(c_224170,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_10)))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220179,c_181283]) ).

tcf(c_224171,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_10)))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220179,c_183073]) ).

tcf(c_224172,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_10)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220179,c_182629]) ).

tcf(c_224173,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_10)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220179,c_183665]) ).

tcf(c_224197,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(X0,p(iPr_def_13)))
      | ~ mem(iPr_def_10,m(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_220182,c_49]) ).

tcf(c_224199,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_220182,c_190419]) ).

tcf(c_224203,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220182,c_181283]) ).

tcf(c_224204,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220182,c_183073]) ).

tcf(c_224205,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220182,c_182629]) ).

tcf(c_224206,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X1,p(iPr_def_13)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220182,c_183665]) ).

tcf(c_224239,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(m(X0,iPr_def_12)))
      | ~ mem(iPr_def_12,p(m(X0,iPr_def_12))) ),
    inference(superposition,[status(thm)],[c_221625,c_49]) ).

tcf(c_224241,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(m(X0,iPr_def_12)))
      | ~ subq(iPr_def_12,m(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_221625,c_181012]) ).

tcf(c_224243,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,p(m(X0,iPr_def_12))) ),
    inference(superposition,[status(thm)],[c_221625,c_187457]) ).

tcf(c_224246,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(m(X1,iPr_def_12)))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_221625,c_181283]) ).

tcf(c_224247,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(m(X1,iPr_def_12)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_221625,c_183681]) ).

tcf(c_224248,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(m(X1,iPr_def_12)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_221625,c_182675]) ).

tcf(c_224297,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_18 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222995,c_52]) ).

tcf(c_224298,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222995,c_188431]) ).

tcf(c_224301,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222995,c_186614]) ).

tcf(c_224302,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222995,c_186601]) ).

tcf(c_224347,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_14 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222996,c_52]) ).

tcf(c_224349,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222996,c_186343]) ).

tcf(c_224350,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222996,c_186324]) ).

tcf(c_224351,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222996,c_186305]) ).

tcf(c_224437,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222997,c_195726]) ).

tcf(c_224438,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222997,c_186629]) ).

tcf(c_224439,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222997,c_186418]) ).

tcf(c_224440,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222997,c_186373]) ).

tcf(c_224441,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222997,c_187372]) ).

tcf(c_224442,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222997,c_186666]) ).

tcf(c_224486,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_202827]) ).

tcf(c_224487,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_202514]) ).

tcf(c_224488,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_202427]) ).

tcf(c_224489,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_202290]) ).

tcf(c_224490,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_202176]) ).

tcf(c_224492,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_15 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222998,c_52]) ).

tcf(c_224496,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_182657]) ).

tcf(c_224497,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_182420]) ).

tcf(c_224498,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222998,c_182362]) ).

tcf(c_224556,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X1)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10)
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_222999,c_51]) ).

tcf(c_224558,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222999,c_181021]) ).

tcf(c_224559,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,iPr_def_10)) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222999,c_189953]) ).

tcf(c_224573,plain,
    ! [X0: $i] :
      ( ~ atleast3p(iPr_def_10)
      | ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 ) ),
    inference(global_subsumption_just,[status(thm)],[c_223000,c_68,c_69,c_74,c_1178,c_2683,c_224558]) ).

tcf(c_224574,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_12,m(p(iPr_def_21),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(renaming,[status(thm)],[c_224573]) ).

tcf(c_224592,plain,
    ( subq(s(iPr_def_18),p(iPr_def_17))
    | ( iPr_def_17 = iPr_def_18 )
    | ~ mem(iPr_def_18,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_201231,c_49]) ).

tcf(c_224593,plain,
    ( mem(iPr_def_18,s(iPr_def_18))
    | subq(s(iPr_def_18),p(iPr_def_17))
    | ( iPr_def_17 = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_201231,c_50]) ).

tcf(c_224595,plain,
    ! [X0: $i] :
      ( mem(iPr_def_18,X0)
      | subq(s(iPr_def_18),p(iPr_def_17))
      | ( iPr_def_17 = iPr_def_18 )
      | ~ subq(s(iPr_def_18),X0) ),
    inference(superposition,[status(thm)],[c_201231,c_181283]) ).

tcf(c_224610,plain,
    ! [X0: $i] :
      ( atleast3p(e)
      | subq(e,e)
      | ~ atleast2p(m(e,X0)) ),
    inference(superposition,[status(thm)],[c_205214,c_205212]) ).

tcf(c_224617,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | ( m(X0,X1) = X0 )
      | ~ atleast2p(m(X0,X1))
      | ~ subq(m(X0,X1),X0) ),
    inference(superposition,[status(thm)],[c_205212,c_52]) ).

tcf(c_224618,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(p(X0))
      | atleast2p(s(X0))
      | mem(X0,m(p(X0),X1))
      | ~ atleast2p(m(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_210957]) ).

tcf(c_224619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(p(X0))
      | mem(X2,m(p(X0),X1))
      | ~ subq(X2,X0)
      | ~ atleast2p(m(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_181287]) ).

tcf(c_224620,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(s(X0))
      | mem(X0,m(s(X0),X1))
      | ~ atleast2p(m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_181284]) ).

tcf(c_224621,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_19)
      | atleast3p(iPr_def_15)
      | mem(iPr_def_15,m(iPr_def_19,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_184166]) ).

tcf(c_224622,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_19)
      | mem(iPr_def_12,m(iPr_def_19,X0))
      | ~ atleast2p(m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181295]) ).

tcf(c_224623,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_19)
      | mem(e,m(iPr_def_19,X0))
      | ~ atleast2p(m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181294]) ).

tcf(c_224624,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_10)
      | mem(e,m(iPr_def_10,X0))
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181288]) ).

tcf(c_224625,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast3p(iPr_def_12)
      | mem(iPr_def_13,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_184414]) ).

tcf(c_224626,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_195726]) ).

tcf(c_224627,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186629]) ).

tcf(c_224628,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186418]) ).

tcf(c_224629,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186373]) ).

tcf(c_224630,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_187372]) ).

tcf(c_224631,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186666]) ).

tcf(c_224632,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_12)
      | mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183347]) ).

tcf(c_224633,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast3p(iPr_def_14)
      | mem(iPr_def_10,m(iPr_def_14,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_184434]) ).

tcf(c_224634,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_14)
      | mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186343]) ).

tcf(c_224635,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_14)
      | mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186324]) ).

tcf(c_224636,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186305]) ).

tcf(c_224637,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_14)
      | mem(iPr_def_13,m(iPr_def_14,X0))
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181290]) ).

tcf(c_224638,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_16)
      | atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_189313]) ).

tcf(c_224639,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_16)
      | mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183780]) ).

tcf(c_224640,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_16)
      | mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181291]) ).

tcf(c_224641,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_188459]) ).

tcf(c_224642,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_193464]) ).

tcf(c_224643,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | mem(iPr_def_13,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_193438]) ).

tcf(c_224644,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_189330]) ).

tcf(c_224645,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183155]) ).

tcf(c_224646,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181292]) ).

tcf(c_224647,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_188431]) ).

tcf(c_224648,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | subq(iPr_def_17,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_212580]) ).

tcf(c_224649,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | subq(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_209404]) ).

tcf(c_224650,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186614]) ).

tcf(c_224651,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | mem(iPr_def_13,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186601]) ).

tcf(c_224652,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_188416]) ).

tcf(c_224653,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181835]) ).

tcf(c_224654,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181297]) ).

tcf(c_224655,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_14,m(iPr_def_15,X0))
      | ~ atleast2p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_212258]) ).

tcf(c_224656,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast2p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_208625]) ).

tcf(c_224657,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_15,X0))
      | ~ atleast2p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183340]) ).

tcf(c_224661,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_15,X0))
      | ~ atleast2p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181650]) ).

tcf(c_224662,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,m(iPr_def_20,X0))
      | ~ atleast2p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186589]) ).

tcf(c_224663,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,m(iPr_def_20,X0))
      | ~ atleast2p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186577]) ).

tcf(c_224664,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_20)
      | mem(iPr_def_19,m(iPr_def_20,X0))
      | ~ atleast2p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181293]) ).

tcf(c_224677,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast3p(iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_13,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_184450]) ).

tcf(c_224678,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_10,m(iPr_def_13,X0))
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_215191]) ).

tcf(c_224679,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_12,m(iPr_def_13,X0))
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_211808]) ).

tcf(c_224680,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(iPr_def_19,m(iPr_def_13,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186861]) ).

tcf(c_224681,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_13,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_187427]) ).

tcf(c_224682,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_13,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_186839]) ).

tcf(c_224683,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(iPr_def_10,m(iPr_def_13,X0))
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183332]) ).

tcf(c_224684,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(e,m(iPr_def_13,X0))
      | ~ atleast2p(m(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_181444]) ).

tcf(c_224685,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_10))
      | mem(iPr_def_10,m(p(iPr_def_10),X0))
      | ~ atleast2p(m(p(iPr_def_10),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183351]) ).

tcf(c_224701,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_19))
      | mem(iPr_def_19,m(p(iPr_def_19),X0))
      | ~ atleast2p(m(p(iPr_def_19),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183486]) ).

tcf(c_224702,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_13))
      | mem(iPr_def_10,m(p(iPr_def_13),X0))
      | ~ atleast2p(m(p(iPr_def_13),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183338]) ).

tcf(c_224703,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_13))
      | mem(iPr_def_12,m(p(iPr_def_13),X0))
      | ~ atleast2p(m(p(iPr_def_13),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_183047]) ).

tcf(c_224704,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_13))
      | mem(iPr_def_13,m(p(iPr_def_13),X0))
      | ~ atleast2p(m(p(iPr_def_13),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_182209]) ).

tcf(c_224705,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(iPr_def_19)
      | mem(m(iPr_def_12,X1),iPr_def_19)
      | ~ atleast2p(m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_205284]) ).

tcf(c_224706,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | atleast3p(sK0(iPr_def_19,X0))
      | mem(iPr_def_10,m(sK0(iPr_def_19,X0),X1))
      | ~ atleast2p(sK0(iPr_def_19,X0))
      | ~ atleast2p(m(sK0(iPr_def_19,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_183830]) ).

tcf(c_224707,plain,
    ( atleast3p(e)
    | subq(e,e)
    | ~ atleast2p(e) ),
    inference(light_normalisation,[status(thm)],[c_224610,c_205214]) ).

tcf(c_224720,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ~ atleast2p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224664,c_181713]) ).

tcf(c_224735,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224654,c_182872]) ).

tcf(c_224738,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224653,c_182872]) ).

tcf(c_224741,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224649,c_182872]) ).

tcf(c_224744,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224648,c_182872]) ).

tcf(c_224747,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224646,c_181716]) ).

tcf(c_224750,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224640,c_181718]) ).

tcf(c_224753,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_14,X0))
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224637,c_181720]) ).

tcf(c_224756,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224632,c_181722]) ).

tcf(c_224768,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224652,c_182872]) ).

tcf(c_224787,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,m(iPr_def_20,X0))
      | ~ atleast2p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224663,c_181713]) ).

tcf(c_224791,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,m(iPr_def_20,X0))
      | ~ atleast2p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224662,c_181713]) ).

tcf(c_224795,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224645,c_181716]) ).

tcf(c_224799,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224639,c_181718]) ).

tcf(c_224806,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224651,c_182872]) ).

tcf(c_224810,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224650,c_182872]) ).

tcf(c_224829,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224647,c_182872]) ).

tcf(c_224834,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224644,c_181716]) ).

tcf(c_224839,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224641,c_181716]) ).

tcf(c_224844,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224638,c_181718]) ).

tcf(c_224849,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_14,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224633,c_181720]) ).

tcf(c_224854,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224631,c_181722]) ).

tcf(c_224859,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224630,c_181722]) ).

tcf(c_224864,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224625,c_181722]) ).

tcf(c_224874,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224636,c_181720]) ).

tcf(c_224879,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224635,c_181720]) ).

tcf(c_224884,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224634,c_181720]) ).

tcf(c_224898,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224643,c_181716]) ).

tcf(c_224903,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224642,c_181716]) ).

tcf(c_224908,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224629,c_181722]) ).

tcf(c_224913,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224628,c_181722]) ).

tcf(c_224918,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224627,c_181722]) ).

tcf(c_224923,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224626,c_181722]) ).

tcf(c_224932,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X0)
      | ( m(X0,X1) = X0 )
      | ~ atleast2p(m(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_224617,c_205070]) ).

tcf(c_225142,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(X0,X1) = X0 )
      | ( sK0(s(X0),p(m(X0,X1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_205213]) ).

tcf(c_225145,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(m(iPr_def_19,X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_205213]) ).

tcf(c_225146,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(m(iPr_def_19,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_205213]) ).

tcf(c_225147,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(m(iPr_def_10,X0)),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_205213]) ).

tcf(c_225148,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(m(iPr_def_10,X0)))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_205213]) ).

tcf(c_225149,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(m(iPr_def_10,X0)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_205213]) ).

tcf(c_225150,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(m(iPr_def_10,X0))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_205213]) ).

tcf(c_225151,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_10,m(iPr_def_10,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_181063,c_205213]) ).

tcf(c_225152,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(p(m(iPr_def_12,X0)),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193771,c_205213]) ).

tcf(c_225153,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(p(m(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217190,c_205213]) ).

tcf(c_225154,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(p(m(iPr_def_12,X0)))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215994,c_205213]) ).

tcf(c_225156,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,p(m(iPr_def_12,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187221,c_205213]) ).

tcf(c_225157,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183528,c_205213]) ).

tcf(c_225158,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_205213]) ).

tcf(c_225160,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_14,X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,m(iPr_def_14,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_181079,c_205213]) ).

tcf(c_225161,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(p(m(iPr_def_16,X0)),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_194166,c_205213]) ).

tcf(c_225162,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_16 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_210209,c_205213]) ).

tcf(c_225163,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_16 )
      | ( sK0(iPr_def_17,p(m(iPr_def_16,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_205213]) ).

tcf(c_225164,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_16,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_181087,c_205213]) ).

tcf(c_225165,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_17 )
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_212800,c_205213]) ).

tcf(c_225166,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181095,c_205213]) ).

tcf(c_225169,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_20 )
      | ( sK0(s(m(iPr_def_20,X0)),p(iPr_def_21)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_213446,c_205213]) ).

tcf(c_225170,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,m(iPr_def_20,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_205213]) ).

tcf(c_225171,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_21 )
      | ( sK0(s(m(iPr_def_21,X0)),p(iPr_def_21)) = m(iPr_def_21,X0) )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_201240,c_205213]) ).

tcf(c_225172,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_13,X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(m(iPr_def_13,X0)),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_205213]) ).

tcf(c_225173,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_13,X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_13,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_205213]) ).

tcf(c_225176,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(m(iPr_def_12,X0),X1) = m(iPr_def_12,X0) )
      | ~ subq(iPr_def_19,p(m(m(iPr_def_12,X0),X1))) ),
    inference(superposition,[status(thm)],[c_205285,c_205213]) ).

tcf(c_225460,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(iPr_def_19),p(m(X2,X1))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_198897,c_205283]) ).

tcf(c_225461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(m(X2,X1)),X3)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_194428,c_205283]) ).

tcf(c_225462,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(X2,X1))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_187682,c_205283]) ).

tcf(c_225463,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(iPr_def_19)
      | ~ atleast2p(m(iPr_def_19,X1))
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_205212,c_205283]) ).

tcf(c_225516,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(m(iPr_def_10,X0))
      | subq(m(iPr_def_10,X0),iPr_def_14)
      | ~ atleast2p(iPr_def_14)
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206793,c_65]) ).

tcf(c_225517,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( m(iPr_def_10,X0) = iPr_def_14 )
      | ~ mem(iPr_def_13,iPr_def_10)
      | ~ subq(m(iPr_def_10,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206793,c_52]) ).

tcf(c_225518,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206793,c_184434]) ).

tcf(c_225519,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_13,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206793,c_186343]) ).

tcf(c_225520,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_13,X0)
      | mem(iPr_def_16,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206793,c_186324]) ).

tcf(c_225521,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_13,X0)
      | mem(iPr_def_19,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206793,c_186305]) ).

tcf(c_225522,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | mem(iPr_def_13,m(iPr_def_10,X0))
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206793,c_181290]) ).

tcf(c_225564,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(X0,iPr_def_12)))
      | ~ mem(iPr_def_13,p(m(X0,iPr_def_12))) ),
    inference(superposition,[status(thm)],[c_221626,c_49]) ).

tcf(c_225566,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(X0,iPr_def_12)))
      | ~ subq(iPr_def_13,m(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_221626,c_181012]) ).

tcf(c_225569,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(X0,iPr_def_12))) ),
    inference(superposition,[status(thm)],[c_221626,c_186953]) ).

tcf(c_225572,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(X1,iPr_def_12)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_221626,c_181283]) ).

tcf(c_225573,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(X1,iPr_def_12)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_221626,c_183082]) ).

tcf(c_225574,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(X1,iPr_def_12)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_221626,c_183910]) ).

tcf(c_225593,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(iPr_def_18),X0))
      | ~ mem(iPr_def_19,m(p(iPr_def_18),X0)) ),
    inference(superposition,[status(thm)],[c_222503,c_49]) ).

tcf(c_225595,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_18),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_222503,c_181283]) ).

tcf(c_225596,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(iPr_def_18),X0)) ),
    inference(superposition,[status(thm)],[c_222503,c_188300]) ).

tcf(c_225598,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_18),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222503,c_183272]) ).

tcf(c_225619,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(iPr_def_14),X0))
      | ~ mem(iPr_def_19,m(p(iPr_def_14),X0)) ),
    inference(superposition,[status(thm)],[c_222505,c_49]) ).

tcf(c_225621,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_14),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_222505,c_181283]) ).

tcf(c_225622,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(iPr_def_14),X0)) ),
    inference(superposition,[status(thm)],[c_222505,c_188300]) ).

tcf(c_225624,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_14),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222505,c_183272]) ).

tcf(c_225791,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(iPr_def_20),X0))
      | ~ mem(iPr_def_19,m(p(iPr_def_20),X0)) ),
    inference(superposition,[status(thm)],[c_222506,c_49]) ).

tcf(c_225793,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_20),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_222506,c_181283]) ).

tcf(c_225794,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(iPr_def_20),X0)) ),
    inference(superposition,[status(thm)],[c_222506,c_188300]) ).

tcf(c_225796,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_20),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222506,c_183272]) ).

tcf(c_225810,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_224735,c_51]) ).

tcf(c_225811,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224735,c_61]) ).

tcf(c_225813,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_18,X0))) = iPr_def_12 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224735,c_187219]) ).

tcf(c_225815,plain,
    ~ atleast2p(m(iPr_def_18,iPr_def_16)),
    inference(superposition,[status(thm)],[c_224735,c_219646]) ).

tcf(c_225816,plain,
    ~ atleast2p(m(iPr_def_18,iPr_def_19)),
    inference(superposition,[status(thm)],[c_224735,c_219696]) ).

tcf(c_225817,plain,
    ( subq(iPr_def_16,m(iPr_def_18,iPr_def_18))
    | ~ atleast2p(m(iPr_def_18,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_224735,c_219579]) ).

tcf(c_225818,plain,
    ( subq(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_224735,c_219911]) ).

tcf(c_225853,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_224738,c_51]) ).

tcf(c_225854,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224738,c_61]) ).

tcf(c_225856,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_18,X0))) = iPr_def_16 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224738,c_187546]) ).

tcf(c_225857,plain,
    ~ atleast2p(m(iPr_def_18,iPr_def_17)),
    inference(superposition,[status(thm)],[c_224738,c_220034]) ).

tcf(c_225858,plain,
    ( subq(iPr_def_17,m(iPr_def_18,iPr_def_18))
    | ~ atleast2p(m(iPr_def_18,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_224738,c_220416]) ).

tcf(c_225859,plain,
    ( subq(iPr_def_17,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_224738,c_220436]) ).

tcf(c_225945,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_18,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224741,c_65]) ).

tcf(c_225946,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_16 )
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_224741,c_52]) ).

tcf(c_225947,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224741,c_189313]) ).

tcf(c_225948,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224741,c_183780]) ).

tcf(c_225981,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_18,X0),iPr_def_17)
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224744,c_65]) ).

tcf(c_225982,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_17 )
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_224744,c_52]) ).

tcf(c_225983,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224744,c_188459]) ).

tcf(c_225984,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224744,c_193464]) ).

tcf(c_225985,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224744,c_193438]) ).

tcf(c_225986,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224744,c_189330]) ).

tcf(c_225987,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224744,c_183155]) ).

tcf(c_226027,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_224768,c_51]) ).

tcf(c_226028,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ~ mem(iPr_def_10,X0)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224768,c_61]) ).

tcf(c_226030,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_18,X0))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224768,c_189953]) ).

tcf(c_226031,plain,
    ( atleast2p(iPr_def_20)
    | ~ atleast2p(m(iPr_def_18,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_224768,c_221620]) ).

tcf(c_226032,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_224768,c_221064]) ).

tcf(c_226033,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_224768,c_221090]) ).

tcf(c_226034,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_224768,c_221423]) ).

tcf(c_226080,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_224806,c_51]) ).

tcf(c_226081,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ~ mem(iPr_def_13,X0)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224806,c_61]) ).

tcf(c_226083,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_18,X0))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224806,c_187127]) ).

tcf(c_226084,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_224806,c_218478]) ).

tcf(c_226085,plain,
    ( subq(iPr_def_14,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_224806,c_219047]) ).

tcf(c_226086,plain,
    ( subq(iPr_def_14,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_224806,c_219069]) ).

tcf(c_226128,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_224810,c_51]) ).

tcf(c_226129,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ~ mem(iPr_def_10,X0)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224810,c_61]) ).

tcf(c_226131,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_18,X0))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224810,c_189953]) ).

tcf(c_226132,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_224810,c_221620]) ).

tcf(c_226133,plain,
    ( subq(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_224810,c_221064]) ).

tcf(c_226134,plain,
    ( subq(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_224810,c_221090]) ).

tcf(c_226135,plain,
    ( subq(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_224810,c_221423]) ).

tcf(c_226193,plain,
    ( subq(s(iPr_def_21),p(iPr_def_20))
    | ( iPr_def_20 = iPr_def_21 )
    | ~ mem(iPr_def_21,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_201232,c_49]) ).

tcf(c_226194,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(iPr_def_20))
    | ( iPr_def_20 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201232,c_50]) ).

tcf(c_226196,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(iPr_def_20))
      | ( iPr_def_20 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201232,c_181283]) ).

tcf(c_226230,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(m(iPr_def_10,X0))
      | subq(m(iPr_def_10,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16)
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207833,c_65]) ).

tcf(c_226231,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( m(iPr_def_10,X0) = iPr_def_16 )
      | ~ mem(iPr_def_12,iPr_def_10)
      | ~ subq(m(iPr_def_10,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_207833,c_52]) ).

tcf(c_226232,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207833,c_189313]) ).

tcf(c_226233,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | mem(iPr_def_16,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207833,c_183780]) ).

tcf(c_226234,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207833,c_181291]) ).

tcf(c_226303,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_224829,c_51]) ).

tcf(c_226304,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ~ mem(iPr_def_13,X0)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224829,c_61]) ).

tcf(c_226306,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_18,X0))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224829,c_187127]) ).

tcf(c_226307,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast2p(m(iPr_def_18,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_224829,c_218478]) ).

tcf(c_226308,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,m(iPr_def_18,iPr_def_15))
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_224829,c_219047]) ).

tcf(c_226309,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_224829,c_219069]) ).

tcf(c_226594,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_21 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_221998,c_193589]) ).

tcf(c_226604,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_21 )
      | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_226594]) ).

tcf(c_226639,plain,
    ( ( sK0(s(iPr_def_19),p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_198897,c_221632]) ).

tcf(c_226641,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(p(p(iPr_def_21)),X0)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_194428,c_221632]) ).

tcf(c_226642,plain,
    ( ( sK0(iPr_def_20,p(p(iPr_def_21))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_187682,c_221632]) ).

tcf(c_226653,plain,
    ( subq(s(iPr_def_21),p(iPr_def_16))
    | ( iPr_def_16 = iPr_def_21 )
    | ~ mem(iPr_def_21,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_201235,c_49]) ).

tcf(c_226654,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(iPr_def_16))
    | ( iPr_def_16 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201235,c_50]) ).

tcf(c_226656,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(iPr_def_16))
      | ( iPr_def_16 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201235,c_181283]) ).

tcf(c_226679,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(s(X0)))
      | ( X0 = iPr_def_10 )
      | ~ mem(iPr_def_13,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_207990,c_49]) ).

tcf(c_226681,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(s(X0)))
      | ( X0 = iPr_def_10 )
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_207990,c_181012]) ).

tcf(c_226684,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( X0 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_207990,c_186953]) ).

tcf(c_226687,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_207990,c_181283]) ).

tcf(c_226688,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_207990,c_183082]) ).

tcf(c_226689,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_207990,c_183910]) ).

tcf(c_226727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_14,p(m(X0,X2))) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_207993,c_51]) ).

tcf(c_226728,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(e,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_207993,c_53]) ).

tcf(c_226729,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_14,p(m(s(X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_182858]) ).

tcf(c_226730,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_14,p(m(s(X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_55]) ).

tcf(c_226731,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(m(u(X0,X1),X2))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_58]) ).

tcf(c_226732,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(m(X1,X0),X2))) = iPr_def_13 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_207993,c_61]) ).

tcf(c_226733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(m(m(X0,X1),X2))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_60]) ).

tcf(c_226734,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_14,p(m(p(X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_63]) ).

tcf(c_226735,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_14,p(m(iPr_def_19,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181002]) ).

tcf(c_226737,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_10 )
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181021]) ).

tcf(c_226738,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | ( sK0(iPr_def_14,p(m(iPr_def_12,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_190313]) ).

tcf(c_226742,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_14,p(m(iPr_def_14,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_186900]) ).

tcf(c_226744,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_14,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181023]) ).

tcf(c_226745,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_14,p(m(iPr_def_16,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_187056]) ).

tcf(c_226746,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_14,p(m(iPr_def_16,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181128]) ).

tcf(c_226747,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_14,p(m(iPr_def_16,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181024]) ).

tcf(c_226748,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_14,p(m(iPr_def_17,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_187496]) ).

tcf(c_226749,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_14,p(m(iPr_def_17,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181151]) ).

tcf(c_226750,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_14,p(m(iPr_def_17,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181025]) ).

tcf(c_226751,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_14,p(m(iPr_def_20,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_187975]) ).

tcf(c_226753,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_14,p(m(iPr_def_20,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181026]) ).

tcf(c_226757,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_14,p(m(iPr_def_18,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_181401]) ).

tcf(c_226761,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(X2,X0)) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_189953]) ).

tcf(c_226762,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_194975]) ).

tcf(c_226763,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(p(e),X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_207993,c_203853]) ).

tcf(c_226764,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_10,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_211289]) ).

tcf(c_226765,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,p(m(m(X0,iPr_def_12),X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_207993,c_221620]) ).

tcf(c_226766,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(iPr_def_14,p(m(m(X0,iPr_def_21),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_221064]) ).

tcf(c_226767,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(iPr_def_14,p(m(m(X0,iPr_def_13),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_221090]) ).

tcf(c_226768,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(iPr_def_14,p(m(m(X0,iPr_def_15),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_221423]) ).

tcf(c_226769,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_19,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_222871]) ).

tcf(c_226779,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_19,X0))) = iPr_def_13,
    inference(forward_subsumption_resolution,[status(thm)],[c_226735,c_194794]) ).

tcf(c_226981,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(m(iPr_def_10,X0))
      | subq(m(iPr_def_10,X0),iPr_def_17)
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_65]) ).

tcf(c_226982,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( m(iPr_def_10,X0) = iPr_def_17 )
      | ~ mem(iPr_def_16,iPr_def_10)
      | ~ subq(m(iPr_def_10,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_209360,c_52]) ).

tcf(c_226983,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_16,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_188459]) ).

tcf(c_226984,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_193464]) ).

tcf(c_226985,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | mem(iPr_def_13,m(iPr_def_10,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_193438]) ).

tcf(c_226986,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_16,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_189330]) ).

tcf(c_226987,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_183155]) ).

tcf(c_226988,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | mem(iPr_def_16,m(iPr_def_10,X0))
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_209360,c_181292]) ).

tcf(c_227116,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(s(X0)))
      | ( X0 = e )
      | ~ mem(iPr_def_13,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_210052,c_49]) ).

tcf(c_227118,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(s(X0)))
      | ( X0 = e )
      | ~ subq(iPr_def_13,s(X0)) ),
    inference(superposition,[status(thm)],[c_210052,c_181012]) ).

tcf(c_227121,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(s(X0)))
      | ( X0 = e ) ),
    inference(superposition,[status(thm)],[c_210052,c_186953]) ).

tcf(c_227124,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( X1 = e )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_210052,c_181283]) ).

tcf(c_227125,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( X1 = e )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_210052,c_183082]) ).

tcf(c_227126,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(s(X1)))
      | ( X1 = e )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_210052,c_183910]) ).

tcf(c_227177,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(iPr_def_17),X0))
      | ~ mem(iPr_def_19,m(p(iPr_def_17),X0)) ),
    inference(superposition,[status(thm)],[c_222511,c_49]) ).

tcf(c_227179,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_17),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_222511,c_181283]) ).

tcf(c_227180,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(iPr_def_17),X0)) ),
    inference(superposition,[status(thm)],[c_222511,c_188300]) ).

tcf(c_227182,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(iPr_def_17),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222511,c_183272]) ).

tcf(c_227253,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_19,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_19,X0))) ),
    inference(superposition,[status(thm)],[c_226779,c_49]) ).

tcf(c_227255,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_19,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_226779,c_181012]) ).

tcf(c_227258,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_19,X0))) ),
    inference(superposition,[status(thm)],[c_226779,c_186953]) ).

tcf(c_227261,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_19,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_226779,c_181283]) ).

tcf(c_227262,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_19,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_226779,c_183082]) ).

tcf(c_227263,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_19,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_226779,c_183910]) ).

tcf(c_227304,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_12,X1)
      | subq(iPr_def_17,X0)
      | ~ subq(sK0(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_192290,c_51]) ).

tcf(c_227305,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X1)
      | ( sK0(iPr_def_16,m(X0,sK0(iPr_def_17,X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_192290,c_187219]) ).

tcf(c_227306,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | atleast2p(sK0(iPr_def_17,X0))
      | subq(sK0(iPr_def_17,X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_192290,c_181263]) ).

tcf(c_227361,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,X1)
      | subq(iPr_def_20,X0)
      | ~ subq(sK0(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_192602,c_51]) ).

tcf(c_227362,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X1)
      | ( sK0(iPr_def_16,m(X0,sK0(iPr_def_20,X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_192602,c_187219]) ).

tcf(c_227363,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | atleast2p(sK0(iPr_def_20,X0))
      | subq(sK0(iPr_def_20,X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_192602,c_181263]) ).

tcf(c_227420,plain,
    ( atleast2p(iPr_def_20)
    | atleast3p(m(iPr_def_18,iPr_def_21))
    | subq(m(iPr_def_18,iPr_def_21),iPr_def_12)
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_65]) ).

tcf(c_227421,plain,
    ( atleast2p(iPr_def_20)
    | ( m(iPr_def_18,iPr_def_21) = iPr_def_12 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21))
    | ~ subq(m(iPr_def_18,iPr_def_21),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_226032,c_52]) ).

tcf(c_227422,plain,
    ( atleast3p(iPr_def_15)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_184414]) ).

tcf(c_227423,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_195726]) ).

tcf(c_227424,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_186629]) ).

tcf(c_227425,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_186418]) ).

tcf(c_227426,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_186373]) ).

tcf(c_227427,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_187372]) ).

tcf(c_227428,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_186666]) ).

tcf(c_227429,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226032,c_183347]) ).

tcf(c_227488,plain,
    ( atleast2p(iPr_def_20)
    | atleast3p(m(iPr_def_18,iPr_def_13))
    | subq(m(iPr_def_18,iPr_def_13),iPr_def_12)
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_65]) ).

tcf(c_227489,plain,
    ( atleast2p(iPr_def_20)
    | ( m(iPr_def_18,iPr_def_13) = iPr_def_12 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_13))
    | ~ subq(m(iPr_def_18,iPr_def_13),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_226033,c_52]) ).

tcf(c_227490,plain,
    ( atleast3p(iPr_def_15)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_184414]) ).

tcf(c_227491,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_195726]) ).

tcf(c_227492,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_186629]) ).

tcf(c_227493,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_186418]) ).

tcf(c_227494,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_186373]) ).

tcf(c_227495,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_13))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_187372]) ).

tcf(c_227496,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_186666]) ).

tcf(c_227497,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_13))
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226033,c_183347]) ).

tcf(c_227626,plain,
    ( atleast2p(iPr_def_20)
    | atleast3p(m(iPr_def_18,iPr_def_15))
    | subq(m(iPr_def_18,iPr_def_15),iPr_def_12)
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_65]) ).

tcf(c_227627,plain,
    ( atleast2p(iPr_def_20)
    | ( m(iPr_def_18,iPr_def_15) = iPr_def_12 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15))
    | ~ subq(m(iPr_def_18,iPr_def_15),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_226034,c_52]) ).

tcf(c_227628,plain,
    ( atleast3p(iPr_def_15)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_184414]) ).

tcf(c_227629,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_14 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_195726]) ).

tcf(c_227630,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_12 = iPr_def_13 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_186629]) ).

tcf(c_227631,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_16 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_186418]) ).

tcf(c_227632,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_186373]) ).

tcf(c_227633,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_187372]) ).

tcf(c_227634,plain,
    ( atleast2p(iPr_def_20)
    | atleast2p(iPr_def_14)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_186666]) ).

tcf(c_227635,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_15))
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226034,c_183347]) ).

tcf(c_227733,plain,
    ( subq(s(iPr_def_21),p(iPr_def_17))
    | ( iPr_def_17 = iPr_def_21 )
    | ~ mem(iPr_def_21,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_201236,c_49]) ).

tcf(c_227734,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(iPr_def_17))
    | ( iPr_def_17 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201236,c_50]) ).

tcf(c_227736,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(iPr_def_17))
      | ( iPr_def_17 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201236,c_181283]) ).

tcf(c_227749,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_14,p(m(X0,X2))) = iPr_def_13 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_210055,c_51]) ).

tcf(c_227751,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(e))
      | ( sK0(iPr_def_14,p(m(s(X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_182858]) ).

tcf(c_227752,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_14,p(m(s(X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_55]) ).

tcf(c_227753,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | mem(e,X0)
      | ( sK0(iPr_def_14,p(m(u(X0,X1),X2))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_58]) ).

tcf(c_227754,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(m(X1,X0),X2))) = iPr_def_13 )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_210055,c_61]) ).

tcf(c_227755,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_14,p(m(m(X0,X1),X2))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_60]) ).

tcf(c_227776,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_20,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_189654]) ).

tcf(c_227777,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_17,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_189349]) ).

tcf(c_227778,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_16,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_188033]) ).

tcf(c_227779,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_14,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_188023]) ).

tcf(c_227780,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_12,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_185745]) ).

tcf(c_227787,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_15,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_186043]) ).

tcf(c_227788,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_18,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_189664]) ).

tcf(c_227789,plain,
    ! [X0: $i] : sK0(iPr_def_14,p(m(iPr_def_21,X0))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_210055,c_222851]) ).

tcf(c_227790,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(X2,X0)) = e )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_185755]) ).

tcf(c_227791,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_20,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193183]) ).

tcf(c_227792,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_12,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193412]) ).

tcf(c_227793,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(iPr_def_14,p(m(m(X0,iPr_def_10),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_217111]) ).

tcf(c_227794,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_19))
      | ( sK0(iPr_def_14,p(m(m(X0,iPr_def_19),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_217125]) ).

tcf(c_227795,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(iPr_def_14,p(m(m(X0,iPr_def_13),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_217166]) ).

tcf(c_227796,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_14,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193406]) ).

tcf(c_227797,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_16,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193198]) ).

tcf(c_227798,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_17,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193188]) ).

tcf(c_227799,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_15,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193417]) ).

tcf(c_227800,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_18,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193423]) ).

tcf(c_227801,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(m(m(iPr_def_21,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_193999]) ).

tcf(c_227874,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(m(iPr_def_10,X0))
      | subq(m(iPr_def_10,X0),iPr_def_20)
      | ~ atleast2p(iPr_def_20)
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_210400,c_65]) ).

tcf(c_227875,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( m(iPr_def_10,X0) = iPr_def_20 )
      | ~ mem(iPr_def_19,iPr_def_10)
      | ~ subq(m(iPr_def_10,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_210400,c_52]) ).

tcf(c_227876,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_19,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_210400,c_186589]) ).

tcf(c_227877,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_19,X0)
      | mem(iPr_def_13,m(iPr_def_10,X0))
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_210400,c_186577]) ).

tcf(c_227878,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | mem(iPr_def_19,m(iPr_def_10,X0))
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_210400,c_181293]) ).

tcf(c_227910,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(m(iPr_def_10,X0))
      | subq(m(iPr_def_10,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_65]) ).

tcf(c_227911,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( m(iPr_def_10,X0) = iPr_def_12 )
      | ~ mem(iPr_def_10,iPr_def_10)
      | ~ subq(m(iPr_def_10,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_211755,c_52]) ).

tcf(c_227912,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | mem(iPr_def_13,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_184414]) ).

tcf(c_227913,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_195726]) ).

tcf(c_227914,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_186629]) ).

tcf(c_227915,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_16,m(iPr_def_10,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_186418]) ).

tcf(c_227916,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_19,m(iPr_def_10,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_186373]) ).

tcf(c_227917,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,X0)
      | mem(iPr_def_16,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_187372]) ).

tcf(c_227918,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,X0)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_186666]) ).

tcf(c_227919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_211755,c_183347]) ).

tcf(c_228002,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(s(X0)))
      | ( X0 = iPr_def_10 )
      | ~ mem(iPr_def_12,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_213542,c_49]) ).

tcf(c_228004,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(s(X0)))
      | ( X0 = iPr_def_10 )
      | ~ subq(iPr_def_12,s(X0)) ),
    inference(superposition,[status(thm)],[c_213542,c_181012]) ).

tcf(c_228006,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,p(s(X0)))
      | ( X0 = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_213542,c_187457]) ).

tcf(c_228009,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(s(X1)))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213542,c_181283]) ).

tcf(c_228010,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(s(X1)))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213542,c_183681]) ).

tcf(c_228011,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(s(X1)))
      | ( X1 = iPr_def_10 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213542,c_182675]) ).

tcf(c_228041,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_20,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_20,X0))) ),
    inference(superposition,[status(thm)],[c_227776,c_49]) ).

tcf(c_228043,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_20,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_227776,c_181012]) ).

tcf(c_228046,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_20,X0))) ),
    inference(superposition,[status(thm)],[c_227776,c_186953]) ).

tcf(c_228049,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_20,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227776,c_181283]) ).

tcf(c_228050,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_20,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227776,c_183082]) ).

tcf(c_228051,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_20,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227776,c_183910]) ).

tcf(c_228246,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_17,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_17,X0))) ),
    inference(superposition,[status(thm)],[c_227777,c_49]) ).

tcf(c_228248,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_17,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_227777,c_181012]) ).

tcf(c_228251,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_17,X0))) ),
    inference(superposition,[status(thm)],[c_227777,c_186953]) ).

tcf(c_228254,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_17,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227777,c_181283]) ).

tcf(c_228255,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_17,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227777,c_183082]) ).

tcf(c_228256,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_17,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227777,c_183910]) ).

tcf(c_228272,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_16,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_16,X0))) ),
    inference(superposition,[status(thm)],[c_227778,c_49]) ).

tcf(c_228274,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_16,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_227778,c_181012]) ).

tcf(c_228277,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_16,X0))) ),
    inference(superposition,[status(thm)],[c_227778,c_186953]) ).

tcf(c_228280,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_16,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227778,c_181283]) ).

tcf(c_228281,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_16,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227778,c_183082]) ).

tcf(c_228282,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_16,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227778,c_183910]) ).

tcf(c_228306,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_14,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_14,X0))) ),
    inference(superposition,[status(thm)],[c_227779,c_49]) ).

tcf(c_228308,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_14,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_227779,c_181012]) ).

tcf(c_228311,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_14,X0))) ),
    inference(superposition,[status(thm)],[c_227779,c_186953]) ).

tcf(c_228314,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_14,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227779,c_181283]) ).

tcf(c_228315,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_14,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227779,c_183082]) ).

tcf(c_228316,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_14,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227779,c_183910]) ).

tcf(c_228375,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_225810]) ).

tcf(c_228383,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | mem(iPr_def_12,m(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ atleast2p(m(m(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_225810]) ).

tcf(c_228399,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_225853]) ).

tcf(c_228402,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(m(iPr_def_18,X0))
      | ( sK0(iPr_def_20,p(m(iPr_def_18,X0))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_192265,c_225853]) ).

tcf(c_228407,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | mem(iPr_def_16,m(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ atleast2p(m(m(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_225853]) ).

tcf(c_228483,plain,
    ( atleast3p(m(iPr_def_18,iPr_def_15))
    | subq(m(iPr_def_18,iPr_def_15),iPr_def_14)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226085,c_65]) ).

tcf(c_228484,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( m(iPr_def_18,iPr_def_15) = iPr_def_14 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15))
    | ~ subq(m(iPr_def_18,iPr_def_15),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_226085,c_52]) ).

tcf(c_228485,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226085,c_184434]) ).

tcf(c_228486,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226085,c_186343]) ).

tcf(c_228487,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226085,c_186324]) ).

tcf(c_228488,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226085,c_186305]) ).

tcf(c_228489,plain,
    ( mem(iPr_def_13,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226085,c_181290]) ).

tcf(c_228559,plain,
    ( atleast3p(m(iPr_def_18,iPr_def_21))
    | subq(m(iPr_def_18,iPr_def_21),iPr_def_14)
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226086,c_65]) ).

tcf(c_228560,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( m(iPr_def_18,iPr_def_21) = iPr_def_14 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21))
    | ~ subq(m(iPr_def_18,iPr_def_21),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_226086,c_52]) ).

tcf(c_228561,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226086,c_184434]) ).

tcf(c_228562,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226086,c_186343]) ).

tcf(c_228563,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226086,c_186324]) ).

tcf(c_228564,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226086,c_186305]) ).

tcf(c_228565,plain,
    ( mem(iPr_def_13,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226086,c_181290]) ).

tcf(c_228629,plain,
    ( subq(s(iPr_def_21),p(iPr_def_15))
    | ( iPr_def_15 = iPr_def_21 )
    | ~ mem(iPr_def_21,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_201241,c_49]) ).

tcf(c_228630,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(iPr_def_15))
    | ( iPr_def_15 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201241,c_50]) ).

tcf(c_228632,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(iPr_def_15))
      | ( iPr_def_15 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201241,c_181283]) ).

tcf(c_228645,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_16,p(m(X0,X2))) = iPr_def_12 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_213545,c_51]) ).

tcf(c_228646,plain,
    ! [X0: $i] : sK0(iPr_def_16,p(m(e,X0))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_213545,c_53]) ).

tcf(c_228647,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_10))
      | ( sK0(iPr_def_16,p(m(s(X0),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_182858]) ).

tcf(c_228648,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_16,p(m(s(X0),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_55]) ).

tcf(c_228649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(m(u(X0,X1),X2))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_58]) ).

tcf(c_228650,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,p(m(m(X1,X0),X2))) = iPr_def_12 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_213545,c_61]) ).

tcf(c_228651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(m(m(X0,X1),X2))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_60]) ).

tcf(c_228652,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_16,p(m(p(X0),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_63]) ).

tcf(c_228653,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_16,p(m(iPr_def_19,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181002]) ).

tcf(c_228655,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_10 )
      | ( sK0(iPr_def_16,p(m(iPr_def_10,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181021]) ).

tcf(c_228656,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | ( sK0(iPr_def_16,p(m(iPr_def_12,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_190313]) ).

tcf(c_228660,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_16,p(m(iPr_def_14,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_186900]) ).

tcf(c_228662,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_16,p(m(iPr_def_14,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181023]) ).

tcf(c_228663,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_16,p(m(iPr_def_16,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_187056]) ).

tcf(c_228664,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_16,p(m(iPr_def_16,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181128]) ).

tcf(c_228665,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_16,p(m(iPr_def_16,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181024]) ).

tcf(c_228666,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_16,p(m(iPr_def_17,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_187496]) ).

tcf(c_228667,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_16,p(m(iPr_def_17,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181151]) ).

tcf(c_228668,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_16,p(m(iPr_def_17,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181025]) ).

tcf(c_228669,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_16,p(m(iPr_def_20,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_187975]) ).

tcf(c_228671,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_16,p(m(iPr_def_20,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181026]) ).

tcf(c_228675,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_16,p(m(iPr_def_18,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_181401]) ).

tcf(c_228679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(X2,X0)) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(m(X0,X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_189953]) ).

tcf(c_228680,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_16,p(m(iPr_def_10,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_194975]) ).

tcf(c_228681,plain,
    ! [X0: $i] : sK0(iPr_def_16,p(m(p(e),X0))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_213545,c_203853]) ).

tcf(c_228682,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X0))
      | ( sK0(iPr_def_16,p(m(m(iPr_def_10,X0),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_211289]) ).

tcf(c_228683,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,p(m(m(X0,iPr_def_12),X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_213545,c_221620]) ).

tcf(c_228684,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_21))
      | ( sK0(iPr_def_16,p(m(m(X0,iPr_def_21),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_221064]) ).

tcf(c_228685,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_13))
      | ( sK0(iPr_def_16,p(m(m(X0,iPr_def_13),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_221090]) ).

tcf(c_228686,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,iPr_def_15))
      | ( sK0(iPr_def_16,p(m(m(X0,iPr_def_15),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_221423]) ).

tcf(c_228687,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X0))
      | ( sK0(iPr_def_16,p(m(m(iPr_def_19,X0),X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_222871]) ).

tcf(c_228697,plain,
    ! [X0: $i] : sK0(iPr_def_16,p(m(iPr_def_19,X0))) = iPr_def_12,
    inference(forward_subsumption_resolution,[status(thm)],[c_228653,c_194794]) ).

tcf(c_228898,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(s(X0)))
      | ( X0 = iPr_def_12 )
      | ~ mem(iPr_def_16,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_215990,c_49]) ).

tcf(c_228900,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(s(X0)))
      | ( X0 = iPr_def_12 )
      | ~ subq(iPr_def_16,s(X0)) ),
    inference(superposition,[status(thm)],[c_215990,c_181012]) ).

tcf(c_228902,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,p(s(X0)))
      | ( X0 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_215990,c_187918]) ).

tcf(c_228905,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(s(X1)))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_215990,c_181283]) ).

tcf(c_228906,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(s(X1)))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_215990,c_184132]) ).

tcf(c_228907,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(s(X1)))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_215990,c_183103]) ).

tcf(c_228932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_17,p(m(X0,X2))) = iPr_def_16 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_215993,c_51]) ).

tcf(c_228933,plain,
    ! [X0: $i] : sK0(iPr_def_17,p(m(e,X0))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_215993,c_53]) ).

tcf(c_228934,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_17,p(m(s(X0),X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_182858]) ).

tcf(c_228935,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,p(m(s(X0),X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_55]) ).

tcf(c_228936,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(m(u(X0,X1),X2))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_58]) ).

tcf(c_228937,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,p(m(m(X1,X0),X2))) = iPr_def_16 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_215993,c_61]) ).

tcf(c_228938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(m(m(X0,X1),X2))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_60]) ).

tcf(c_228939,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_17,p(m(p(X0),X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_63]) ).

tcf(c_228940,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_19,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181002]) ).

tcf(c_228941,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_17,p(m(iPr_def_10,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_183361]) ).

tcf(c_228942,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_12 )
      | ( sK0(iPr_def_17,p(m(iPr_def_10,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181021]) ).

tcf(c_228943,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_190313]) ).

tcf(c_228944,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_183362]) ).

tcf(c_228945,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181149]) ).

tcf(c_228946,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181127]) ).

tcf(c_228947,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_14,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_186900]) ).

tcf(c_228948,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_17,p(m(iPr_def_14,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181150]) ).

tcf(c_228949,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_17,p(m(iPr_def_14,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181023]) ).

tcf(c_228950,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_16,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_187056]) ).

tcf(c_228953,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_17,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_187496]) ).

tcf(c_228955,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(m(iPr_def_17,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181025]) ).

tcf(c_228956,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_20,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_187975]) ).

tcf(c_228958,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_19 )
      | ( sK0(iPr_def_17,p(m(iPr_def_20,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181026]) ).

tcf(c_228959,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_17,p(m(iPr_def_13,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_183534]) ).

tcf(c_228960,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_15,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181400]) ).

tcf(c_228965,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(X2,X0)) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(m(X0,X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_187219]) ).

tcf(c_228966,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_17,p(m(X0,X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_181263]) ).

tcf(c_228967,plain,
    ! [X0: $i] : sK0(iPr_def_17,p(m(p(e),X0))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_215993,c_200296]) ).

tcf(c_228968,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_17,p(m(iPr_def_10,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_190801]) ).

tcf(c_228970,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_199145]) ).

tcf(c_228972,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_17,p(m(iPr_def_14,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_191201]) ).

tcf(c_228973,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_17,p(m(iPr_def_14,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_186898]) ).

tcf(c_228974,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | ( iPr_def_16 = iPr_def_17 )
      | ( sK0(iPr_def_17,p(m(iPr_def_17,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_191174]) ).

tcf(c_228975,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_17,p(m(iPr_def_17,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_187494]) ).

tcf(c_228976,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_20)
      | ( sK0(iPr_def_17,p(m(iPr_def_20,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_191045]) ).

tcf(c_228978,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,p(m(m(X0,iPr_def_16),X1))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_215993,c_219646]) ).

tcf(c_228979,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_19))
      | ( sK0(iPr_def_17,p(m(p(iPr_def_19),X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_213672]) ).

tcf(c_228980,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,p(m(m(X0,iPr_def_19),X1))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_215993,c_219696]) ).

tcf(c_228981,plain,
    ! [X0: $i] : sK0(iPr_def_17,p(m(p(p(e)),X0))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_215993,c_215139]) ).

tcf(c_228982,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_17,p(m(m(X0,iPr_def_18),X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_219579]) ).

tcf(c_228983,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(iPr_def_17,p(m(m(X0,iPr_def_21),X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_219911]) ).

tcf(c_228984,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_17,p(m(m(iPr_def_10,X0),X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_207816]) ).

tcf(c_229027,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_17,p(m(iPr_def_20,X0))) = iPr_def_16 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_228956,c_192307]) ).

tcf(c_229036,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_228943,c_194794]) ).

tcf(c_229074,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_17,p(m(s(X0),X1))) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_228934,c_665]) ).

tcf(c_229288,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( X0 = iPr_def_12 )
      | ~ mem(iPr_def_19,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_217186,c_49]) ).

tcf(c_229290,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( X0 = iPr_def_12 )
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_217186,c_181012]) ).

tcf(c_229291,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_217186,c_181283]) ).

tcf(c_229293,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(s(X0)))
      | ( X0 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_217186,c_188300]) ).

tcf(c_229295,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ( X1 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_217186,c_183272]) ).

tcf(c_229312,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_12,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_12,X0))) ),
    inference(superposition,[status(thm)],[c_227780,c_49]) ).

tcf(c_229314,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_12,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_227780,c_181012]) ).

tcf(c_229317,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_12,X0))) ),
    inference(superposition,[status(thm)],[c_227780,c_186953]) ).

tcf(c_229320,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_12,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227780,c_181283]) ).

tcf(c_229321,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_12,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227780,c_183082]) ).

tcf(c_229322,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_12,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227780,c_183910]) ).

tcf(c_229338,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_15,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_15,X0))) ),
    inference(superposition,[status(thm)],[c_227787,c_49]) ).

tcf(c_229340,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_15,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_227787,c_181012]) ).

tcf(c_229343,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_15,X0))) ),
    inference(superposition,[status(thm)],[c_227787,c_186953]) ).

tcf(c_229346,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_15,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227787,c_181283]) ).

tcf(c_229347,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_15,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227787,c_183082]) ).

tcf(c_229348,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_15,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227787,c_183910]) ).

tcf(c_229425,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_18,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_18,X0))) ),
    inference(superposition,[status(thm)],[c_227788,c_49]) ).

tcf(c_229427,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_18,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_227788,c_181012]) ).

tcf(c_229430,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_18,X0))) ),
    inference(superposition,[status(thm)],[c_227788,c_186953]) ).

tcf(c_229433,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_18,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227788,c_181283]) ).

tcf(c_229434,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_18,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227788,c_183082]) ).

tcf(c_229435,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_18,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227788,c_183910]) ).

tcf(c_229451,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_21,X0)))
      | ~ mem(iPr_def_13,p(m(iPr_def_21,X0))) ),
    inference(superposition,[status(thm)],[c_227789,c_49]) ).

tcf(c_229453,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(m(iPr_def_21,X0)))
      | ~ subq(iPr_def_13,m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_227789,c_181012]) ).

tcf(c_229456,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(m(iPr_def_21,X0))) ),
    inference(superposition,[status(thm)],[c_227789,c_186953]) ).

tcf(c_229459,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_21,X1)))
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_227789,c_181283]) ).

tcf(c_229460,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_21,X1)))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_227789,c_183082]) ).

tcf(c_229461,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(m(iPr_def_21,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_227789,c_183910]) ).

tcf(c_229488,plain,
    ( atleast3p(m(iPr_def_18,iPr_def_21))
    | subq(m(iPr_def_18,iPr_def_21),iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_65]) ).

tcf(c_229489,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( m(iPr_def_18,iPr_def_21) = iPr_def_12 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21))
    | ~ subq(m(iPr_def_18,iPr_def_21),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_226133,c_52]) ).

tcf(c_229490,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_184414]) ).

tcf(c_229491,plain,
    ( mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_14 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_195726]) ).

tcf(c_229492,plain,
    ( mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_12 = iPr_def_13 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_186629]) ).

tcf(c_229493,plain,
    ( mem(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_13 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_186418]) ).

tcf(c_229495,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_187372]) ).

tcf(c_229496,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_186666]) ).

tcf(c_229497,plain,
    ( mem(iPr_def_10,m(iPr_def_18,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226133,c_183347]) ).

tcf(c_229707,plain,
    ( atleast3p(m(iPr_def_18,iPr_def_13))
    | subq(m(iPr_def_18,iPr_def_13),iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_65]) ).

tcf(c_229708,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( m(iPr_def_18,iPr_def_13) = iPr_def_12 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_13))
    | ~ subq(m(iPr_def_18,iPr_def_13),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_226134,c_52]) ).

tcf(c_229709,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_184414]) ).

tcf(c_229710,plain,
    ( mem(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_14 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_195726]) ).

tcf(c_229711,plain,
    ( mem(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_12 = iPr_def_13 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_186629]) ).

tcf(c_229712,plain,
    ( mem(iPr_def_16,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_13 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_186418]) ).

tcf(c_229714,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_187372]) ).

tcf(c_229715,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_186666]) ).

tcf(c_229716,plain,
    ( mem(iPr_def_10,m(iPr_def_18,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_226134,c_183347]) ).

tcf(c_229770,plain,
    ( atleast3p(m(iPr_def_18,iPr_def_15))
    | subq(m(iPr_def_18,iPr_def_15),iPr_def_12)
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_65]) ).

tcf(c_229771,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ( m(iPr_def_18,iPr_def_15) = iPr_def_12 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15))
    | ~ subq(m(iPr_def_18,iPr_def_15),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_226135,c_52]) ).

tcf(c_229772,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(iPr_def_12)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_184414]) ).

tcf(c_229773,plain,
    ( mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_14 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_195726]) ).

tcf(c_229774,plain,
    ( mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_12 = iPr_def_13 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_186629]) ).

tcf(c_229775,plain,
    ( mem(iPr_def_16,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_13 = iPr_def_16 )
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_186418]) ).

tcf(c_229777,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_187372]) ).

tcf(c_229778,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_186666]) ).

tcf(c_229779,plain,
    ( mem(iPr_def_10,m(iPr_def_18,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226135,c_183347]) ).

tcf(c_229875,plain,
    ( subq(s(iPr_def_21),p(iPr_def_14))
    | ( iPr_def_14 = iPr_def_21 )
    | ~ mem(iPr_def_21,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_201242,c_49]) ).

tcf(c_229876,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),p(iPr_def_14))
    | ( iPr_def_14 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201242,c_50]) ).

tcf(c_229878,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),p(iPr_def_14))
      | ( iPr_def_14 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201242,c_181283]) ).

tcf(c_229891,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(m(X0,X2))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_217189,c_51]) ).

tcf(c_229892,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(e,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217189,c_53]) ).

tcf(c_229893,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(iPr_def_12))
      | ( sK0(iPr_def_20,p(m(s(X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_182858]) ).

tcf(c_229894,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(m(s(X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_55]) ).

tcf(c_229895,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(m(u(X0,X1),X2))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_58]) ).

tcf(c_229896,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(m(X1,X0),X2))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_217189,c_61]) ).

tcf(c_229897,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(m(m(X0,X1),X2))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_60]) ).

tcf(c_229898,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(m(p(X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_63]) ).

tcf(c_229899,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_19,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181002]) ).

tcf(c_229900,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_20,p(m(iPr_def_10,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_183361]) ).

tcf(c_229901,plain,
    ! [X0: $i] :
      ( ( e = iPr_def_12 )
      | ( sK0(iPr_def_20,p(m(iPr_def_10,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181021]) ).

tcf(c_229902,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_190313]) ).

tcf(c_229903,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_183362]) ).

tcf(c_229904,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181149]) ).

tcf(c_229905,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181127]) ).

tcf(c_229906,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_186900]) ).

tcf(c_229907,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181150]) ).

tcf(c_229908,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181023]) ).

tcf(c_229909,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_16,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_187056]) ).

tcf(c_229912,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_17,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_187496]) ).

tcf(c_229914,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(m(iPr_def_17,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181025]) ).

tcf(c_229915,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_187975]) ).

tcf(c_229917,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(m(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181026]) ).

tcf(c_229918,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_20,p(m(iPr_def_13,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_183534]) ).

tcf(c_229919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_15,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181400]) ).

tcf(c_229924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(X2,X0)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_187219]) ).

tcf(c_229925,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(X0)
      | subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_181263]) ).

tcf(c_229926,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(p(e),X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217189,c_200296]) ).

tcf(c_229927,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_20,p(m(iPr_def_10,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_190801]) ).

tcf(c_229929,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_199145]) ).

tcf(c_229931,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_14)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_191201]) ).

tcf(c_229932,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_186898]) ).

tcf(c_229933,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_17)
      | ( iPr_def_16 = iPr_def_17 )
      | ( sK0(iPr_def_20,p(m(iPr_def_17,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_191174]) ).

tcf(c_229934,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_20,p(m(iPr_def_17,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_187494]) ).

tcf(c_229935,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_20)
      | ( sK0(iPr_def_20,p(m(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_191045]) ).

tcf(c_229937,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(m(m(X0,iPr_def_16),X1))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217189,c_219646]) ).

tcf(c_229938,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_19))
      | ( sK0(iPr_def_20,p(m(p(iPr_def_19),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_213672]) ).

tcf(c_229939,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(m(m(X0,iPr_def_19),X1))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217189,c_219696]) ).

tcf(c_229940,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(p(p(e)),X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217189,c_215139]) ).

tcf(c_229941,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_18))
      | ( sK0(iPr_def_20,p(m(m(X0,iPr_def_18),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_219579]) ).

tcf(c_229942,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,iPr_def_21))
      | ( sK0(iPr_def_20,p(m(m(X0,iPr_def_21),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_219911]) ).

tcf(c_229943,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_10,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_207816]) ).

tcf(c_229986,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,p(m(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_229915,c_192307]) ).

tcf(c_229995,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_229902,c_194794]) ).

tcf(c_230033,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(m(s(X0),X1))) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_229893,c_665]) ).

tcf(c_230280,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( X0 = e )
      | ~ mem(iPr_def_19,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_217762,c_49]) ).

tcf(c_230282,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( X0 = e )
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_217762,c_181012]) ).

tcf(c_230283,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ( X1 = e )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_217762,c_181283]) ).

tcf(c_230285,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(s(X0)))
      | ( X0 = e ) ),
    inference(superposition,[status(thm)],[c_217762,c_188300]) ).

tcf(c_230287,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ( X1 = e )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_217762,c_183272]) ).

tcf(c_230306,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(m(X0,X2))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_217765,c_51]) ).

tcf(c_230308,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,p(e))
      | ( sK0(iPr_def_20,p(m(s(X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_182858]) ).

tcf(c_230309,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_20,p(m(s(X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_55]) ).

tcf(c_230310,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | mem(e,X0)
      | ( sK0(iPr_def_20,p(m(u(X0,X1),X2))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_58]) ).

tcf(c_230311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(m(X1,X0),X2))) = iPr_def_19 )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_217765,c_61]) ).

tcf(c_230312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,p(m(m(X0,X1),X2))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_60]) ).

tcf(c_230314,plain,
    ! [X0: $i] :
      ( subq(e,iPr_def_12)
      | ( sK0(iPr_def_20,p(m(iPr_def_19,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_181002]) ).

tcf(c_230333,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_20,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_189654]) ).

tcf(c_230334,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_17,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_189349]) ).

tcf(c_230335,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_16,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_188033]) ).

tcf(c_230336,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_14,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_188023]) ).

tcf(c_230337,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_12,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_185745]) ).

tcf(c_230344,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_15,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_186043]) ).

tcf(c_230345,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_18,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_189664]) ).

tcf(c_230346,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(m(iPr_def_21,X0))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_217765,c_222851]) ).

tcf(c_230347,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(X2,X0)) = e )
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_185755]) ).

tcf(c_230348,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_20,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193183]) ).

tcf(c_230349,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_12,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193412]) ).

tcf(c_230350,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_10))
      | ( sK0(iPr_def_20,p(m(m(X0,iPr_def_10),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_217111]) ).

tcf(c_230352,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,iPr_def_13))
      | ( sK0(iPr_def_20,p(m(m(X0,iPr_def_13),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_217166]) ).

tcf(c_230353,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_14,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193406]) ).

tcf(c_230354,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_16,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193198]) ).

tcf(c_230355,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_17,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193188]) ).

tcf(c_230356,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_15,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193417]) ).

tcf(c_230357,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_18,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193423]) ).

tcf(c_230358,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(m(m(iPr_def_21,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_193999]) ).

tcf(c_230428,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(m(iPr_def_19,X0))
      | subq(m(iPr_def_19,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_65]) ).

tcf(c_230429,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( m(iPr_def_19,X0) = iPr_def_12 )
      | ~ mem(iPr_def_10,iPr_def_19)
      | ~ subq(m(iPr_def_19,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_223363,c_52]) ).

tcf(c_230430,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | mem(iPr_def_13,m(iPr_def_19,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_184414]) ).

tcf(c_230431,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_12,m(iPr_def_19,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_195726]) ).

tcf(c_230432,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_12,m(iPr_def_19,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_186629]) ).

tcf(c_230433,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_16,m(iPr_def_19,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_186418]) ).

tcf(c_230434,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_19,m(iPr_def_19,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_186373]) ).

tcf(c_230435,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,X0)
      | mem(iPr_def_16,m(iPr_def_19,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_187372]) ).

tcf(c_230436,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_10,X0)
      | mem(iPr_def_12,m(iPr_def_19,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_186666]) ).

tcf(c_230437,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | mem(iPr_def_10,m(iPr_def_19,X0))
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_223363,c_183347]) ).

tcf(c_230495,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(m(iPr_def_19,X0)))
      | ~ mem(iPr_def_12,p(m(iPr_def_19,X0))) ),
    inference(superposition,[status(thm)],[c_228697,c_49]) ).

tcf(c_230497,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(m(iPr_def_19,X0)))
      | ~ subq(iPr_def_12,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_228697,c_181012]) ).

tcf(c_230499,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,p(m(iPr_def_19,X0))) ),
    inference(superposition,[status(thm)],[c_228697,c_187457]) ).

tcf(c_230502,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(m(iPr_def_19,X1)))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_228697,c_181283]) ).

tcf(c_230503,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(m(iPr_def_19,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_228697,c_183681]) ).

tcf(c_230504,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(m(iPr_def_19,X1)))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_228697,c_182675]) ).

tcf(c_230520,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_20,X0)))
      | ~ mem(iPr_def_19,p(m(iPr_def_20,X0))) ),
    inference(superposition,[status(thm)],[c_230333,c_49]) ).

tcf(c_230522,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_20,X0)))
      | ~ subq(iPr_def_19,m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230333,c_181012]) ).

tcf(c_230523,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_20,X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_230333,c_181283]) ).

tcf(c_230525,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_20,X0))) ),
    inference(superposition,[status(thm)],[c_230333,c_188300]) ).

tcf(c_230527,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_20,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_230333,c_183272]) ).

tcf(c_230540,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_17,X0)))
      | ~ mem(iPr_def_19,p(m(iPr_def_17,X0))) ),
    inference(superposition,[status(thm)],[c_230334,c_49]) ).

tcf(c_230542,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_17,X0)))
      | ~ subq(iPr_def_19,m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230334,c_181012]) ).

tcf(c_230543,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_17,X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_230334,c_181283]) ).

tcf(c_230545,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_17,X0))) ),
    inference(superposition,[status(thm)],[c_230334,c_188300]) ).

tcf(c_230547,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_17,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_230334,c_183272]) ).

tcf(c_230560,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_16,X0)))
      | ~ mem(iPr_def_19,p(m(iPr_def_16,X0))) ),
    inference(superposition,[status(thm)],[c_230335,c_49]) ).

tcf(c_230562,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_16,X0)))
      | ~ subq(iPr_def_19,m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230335,c_181012]) ).

tcf(c_230563,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_16,X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_230335,c_181283]) ).

tcf(c_230565,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_16,X0))) ),
    inference(superposition,[status(thm)],[c_230335,c_188300]) ).

tcf(c_230567,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_16,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_230335,c_183272]) ).

tcf(c_230597,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | atleast3p(m(iPr_def_18,iPr_def_15))
    | subq(m(iPr_def_18,iPr_def_15),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226308,c_65]) ).

tcf(c_230598,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | ( m(iPr_def_18,iPr_def_15) = iPr_def_14 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_15))
    | ~ subq(m(iPr_def_18,iPr_def_15),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_226308,c_52]) ).

tcf(c_230599,plain,
    ( atleast3p(iPr_def_15)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226308,c_184434]) ).

tcf(c_230600,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226308,c_186343]) ).

tcf(c_230601,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226308,c_186324]) ).

tcf(c_230602,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226308,c_186305]) ).

tcf(c_230603,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_15))
    | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_226308,c_181290]) ).

tcf(c_230656,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | atleast3p(m(iPr_def_18,iPr_def_21))
    | subq(m(iPr_def_18,iPr_def_21),iPr_def_14)
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226309,c_65]) ).

tcf(c_230657,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | ( m(iPr_def_18,iPr_def_21) = iPr_def_14 )
    | ~ atleast2p(m(iPr_def_18,iPr_def_21))
    | ~ subq(m(iPr_def_18,iPr_def_21),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_226309,c_52]) ).

tcf(c_230658,plain,
    ( atleast3p(iPr_def_15)
    | atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_10,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_14)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226309,c_184434]) ).

tcf(c_230659,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_12,iPr_def_12)
    | mem(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226309,c_186343]) ).

tcf(c_230660,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_16,iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226309,c_186324]) ).

tcf(c_230661,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_19,iPr_def_12)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_19,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226309,c_186305]) ).

tcf(c_230662,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | mem(iPr_def_13,m(iPr_def_18,iPr_def_21))
    | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_226309,c_181290]) ).

tcf(c_230710,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_226027]) ).

tcf(c_230718,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | atleast3p(m(iPr_def_18,X0))
      | mem(iPr_def_10,m(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ atleast2p(m(m(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_226027]) ).

tcf(c_230748,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_16)
      | atleast3p(m(iPr_def_18,X0))
      | subq(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_65]) ).

tcf(c_230749,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | ( m(iPr_def_18,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(iPr_def_16,m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_52]) ).

tcf(c_230750,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | atleast3p(m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_226027]) ).

tcf(c_230751,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_225853]) ).

tcf(c_230762,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_230748,c_181718]) ).

tcf(c_230794,plain,
    ( subq(s(iPr_def_21),iPr_def_19)
    | ( iPr_def_12 = iPr_def_21 )
    | ~ mem(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201303,c_49]) ).

tcf(c_230795,plain,
    ( mem(iPr_def_21,s(iPr_def_21))
    | subq(s(iPr_def_21),iPr_def_19)
    | ( iPr_def_12 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_201303,c_50]) ).

tcf(c_230797,plain,
    ! [X0: $i] :
      ( mem(iPr_def_21,X0)
      | subq(s(iPr_def_21),iPr_def_19)
      | ( iPr_def_12 = iPr_def_21 )
      | ~ subq(s(iPr_def_21),X0) ),
    inference(superposition,[status(thm)],[c_201303,c_181283]) ).

tcf(c_230812,plain,
    ( mem(iPr_def_13,iPr_def_19)
    | ( iPr_def_12 = iPr_def_21 )
    | ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_230794,c_202827]) ).

tcf(c_230814,plain,
    ( mem(iPr_def_19,iPr_def_19)
    | ( iPr_def_12 = iPr_def_21 )
    | ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_230794,c_202427]) ).

tcf(c_230815,plain,
    ( mem(iPr_def_16,iPr_def_19)
    | ( iPr_def_12 = iPr_def_21 )
    | ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_230794,c_202290]) ).

tcf(c_230816,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( iPr_def_12 = iPr_def_21 )
    | ( sK0(s(s(iPr_def_21)),p(iPr_def_21)) = s(iPr_def_21) )
    | ~ atleast3p(s(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_230794,c_202176]) ).

tcf(c_230817,plain,
    ( atleast3p(iPr_def_19)
    | subq(iPr_def_19,s(iPr_def_21))
    | ( iPr_def_12 = iPr_def_21 )
    | ~ atleast2p(s(iPr_def_21))
    | ~ mem(iPr_def_21,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_230794,c_65]) ).

tcf(c_230818,plain,
    ( ( iPr_def_12 = iPr_def_21 )
    | ( s(iPr_def_21) = iPr_def_19 )
    | ~ mem(iPr_def_21,iPr_def_19)
    | ~ subq(iPr_def_19,s(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_230794,c_52]) ).

tcf(c_230853,plain,
    ! [X0: $i,X1: $i] : subq(X0,u(X0,X1)),
    inference(superposition,[status(thm)],[c_50,c_181131]) ).

tcf(c_230854,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(X1,X2))
      | ( sK0(s(sK0(X0,u(X1,X2))),m(X1,X3)) = sK0(X0,u(X1,X2)) ) ),
    inference(superposition,[status(thm)],[c_198896,c_181131]) ).

tcf(c_230855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ( sK0(s(sK0(X0,u(X1,X2))),X1) = sK0(X0,u(X1,X2)) ) ),
    inference(superposition,[status(thm)],[c_182860,c_181131]) ).

tcf(c_230856,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(u(X1,X2),X3))
      | ~ mem(sK0(X0,u(u(X1,X2),X3)),X1) ),
    inference(superposition,[status(thm)],[c_56,c_181131]) ).

tcf(c_230857,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(u(X1,X2),X3))
      | ~ mem(sK0(X0,u(u(X1,X2),X3)),X2) ),
    inference(superposition,[status(thm)],[c_57,c_181131]) ).

tcf(c_230858,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(m(X1,X2),X3))
      | mem(sK0(X0,u(m(X1,X2),X3)),X2)
      | ~ mem(sK0(X0,u(m(X1,X2),X3)),X1) ),
    inference(superposition,[status(thm)],[c_59,c_181131]) ).

tcf(c_230859,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(p(X1),X2))
      | ~ subq(sK0(X0,u(p(X1),X2)),X1) ),
    inference(superposition,[status(thm)],[c_62,c_181131]) ).

tcf(c_230860,plain,
    ! [X0: $i,X1: $i,X2: $i] : subq(m(X0,X1),u(X0,X2)),
    inference(superposition,[status(thm)],[c_181173,c_181131]) ).

tcf(c_230861,plain,
    ! [X0: $i] : subq(iPr_def_12,u(iPr_def_15,X0)),
    inference(superposition,[status(thm)],[c_181196,c_181131]) ).

tcf(c_230862,plain,
    ! [X0: $i] : subq(iPr_def_16,u(iPr_def_18,X0)),
    inference(superposition,[status(thm)],[c_181204,c_181131]) ).

tcf(c_230863,plain,
    ! [X0: $i] : subq(iPr_def_18,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_181244,c_181131]) ).

tcf(c_230864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181283,c_181131]) ).

tcf(c_230865,plain,
    ! [X0: $i] : subq(iPr_def_12,u(iPr_def_13,X0)),
    inference(superposition,[status(thm)],[c_181635,c_181131]) ).

tcf(c_230866,plain,
    ! [X0: $i] : subq(iPr_def_14,u(iPr_def_15,X0)),
    inference(superposition,[status(thm)],[c_181643,c_181131]) ).

tcf(c_230867,plain,
    ! [X0: $i] : subq(iPr_def_17,u(iPr_def_18,X0)),
    inference(superposition,[status(thm)],[c_181668,c_181131]) ).

tcf(c_230868,plain,
    ! [X0: $i] : subq(iPr_def_20,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_181800,c_181131]) ).

tcf(c_230869,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,u(X0,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183073,c_181131]) ).

tcf(c_230870,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,u(X0,X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182629,c_181131]) ).

tcf(c_230871,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183665,c_181131]) ).

tcf(c_230872,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183681,c_181131]) ).

tcf(c_230873,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,u(X0,X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_182675,c_181131]) ).

tcf(c_230874,plain,
    ! [X0: $i] : subq(iPr_def_16,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_182676,c_181131]) ).

tcf(c_230875,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_182838,c_181131]) ).

tcf(c_230876,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181299,c_181131]) ).

tcf(c_230877,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,u(X0,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183900,c_181131]) ).

tcf(c_230878,plain,
    ! [X0: $i] : subq(iPr_def_10,u(iPr_def_13,X0)),
    inference(superposition,[status(thm)],[c_182887,c_181131]) ).

tcf(c_230879,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,u(X0,X1))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_183082,c_181131]) ).

tcf(c_230880,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183910,c_181131]) ).

tcf(c_230881,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_184132,c_181131]) ).

tcf(c_230882,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,u(X0,X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_183103,c_181131]) ).

tcf(c_230883,plain,
    ! [X0: $i] : subq(iPr_def_17,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_183104,c_181131]) ).

tcf(c_230884,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,u(X0,X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183272,c_181131]) ).

tcf(c_230885,plain,
    ! [X0: $i] : subq(iPr_def_15,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_181220,c_181131]) ).

tcf(c_230886,plain,
    ! [X0: $i] : subq(iPr_def_12,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_182630,c_181131]) ).

tcf(c_230887,plain,
    ! [X0: $i] : subq(iPr_def_14,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_183083,c_181131]) ).

tcf(c_230888,plain,
    ! [X0: $i] :
      ( subq(X0,u(e,iPr_def_10))
      | ~ mem(sK0(X0,iPr_def_10),e) ),
    inference(superposition,[status(thm)],[c_183365,c_181131]) ).

tcf(c_230889,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_12,iPr_def_14))
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_661,c_181131]) ).

tcf(c_230890,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_16,iPr_def_17))
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_181131]) ).

tcf(c_230891,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_18,iPr_def_20))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_181131]) ).

tcf(c_230892,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_15,iPr_def_21))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_180980,c_181131]) ).

tcf(c_230893,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_10,iPr_def_12))
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183363,c_181131]) ).

tcf(c_230922,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_13)
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_230893,c_183363]) ).

tcf(c_230925,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_230892,c_180980]) ).

tcf(c_230928,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_18) ),
    inference(light_normalisation,[status(thm)],[c_230891,c_667]) ).

tcf(c_230931,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_230890,c_664]) ).

tcf(c_230934,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_230889,c_661]) ).

tcf(c_230937,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_10)
      | ~ mem(sK0(X0,iPr_def_10),e) ),
    inference(light_normalisation,[status(thm)],[c_230888,c_183365]) ).

tcf(c_231127,plain,
    subq(e,iPr_def_10),
    inference(superposition,[status(thm)],[c_183365,c_230853]) ).

tcf(c_231133,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X0,X1))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_230853,c_202827]) ).

tcf(c_231134,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X0,X1))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_230853,c_202514]) ).

tcf(c_231135,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X0,X1))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_230853,c_202427]) ).

tcf(c_231136,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X0,X1))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_230853,c_202290]) ).

tcf(c_231137,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X0,X1))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_230853,c_202176]) ).

tcf(c_231138,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,X1))
      | subq(u(X0,X1),X0)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_230853,c_65]) ).

tcf(c_231139,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,X1) = X0 )
      | ~ subq(u(X0,X1),X0) ),
    inference(superposition,[status(thm)],[c_230853,c_52]) ).

tcf(c_231140,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,u(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_230853,c_210957]) ).

tcf(c_231141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,u(p(X1),X2))
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_230853,c_181287]) ).

tcf(c_231142,plain,
    ! [X0: $i,X1: $i] : mem(X0,u(s(X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_181284]) ).

tcf(c_231143,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,u(iPr_def_19,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230853,c_184166]) ).

tcf(c_231144,plain,
    ! [X0: $i] : mem(iPr_def_12,u(iPr_def_19,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181295]) ).

tcf(c_231145,plain,
    ! [X0: $i] : mem(e,u(iPr_def_19,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181294]) ).

tcf(c_231146,plain,
    ! [X0: $i] : mem(e,u(iPr_def_10,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181288]) ).

tcf(c_231147,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,u(iPr_def_12,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230853,c_184414]) ).

tcf(c_231148,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_12,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_195726]) ).

tcf(c_231149,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_12,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186629]) ).

tcf(c_231150,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186418]) ).

tcf(c_231151,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186373]) ).

tcf(c_231152,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,u(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_187372]) ).

tcf(c_231153,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,u(iPr_def_12,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186666]) ).

tcf(c_231154,plain,
    ! [X0: $i] : mem(iPr_def_10,u(iPr_def_12,X0)),
    inference(superposition,[status(thm)],[c_230853,c_183347]) ).

tcf(c_231155,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,u(iPr_def_14,X0))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_230853,c_184434]) ).

tcf(c_231156,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,u(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186343]) ).

tcf(c_231157,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,u(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186324]) ).

tcf(c_231158,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,u(iPr_def_14,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186305]) ).

tcf(c_231159,plain,
    ! [X0: $i] : mem(iPr_def_13,u(iPr_def_14,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181290]) ).

tcf(c_231160,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230853,c_189313]) ).

tcf(c_231161,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230853,c_183780]) ).

tcf(c_231162,plain,
    ! [X0: $i] : mem(iPr_def_12,u(iPr_def_16,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181291]) ).

tcf(c_231163,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,u(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_188459]) ).

tcf(c_231164,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,u(iPr_def_17,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230853,c_193464]) ).

tcf(c_231165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,u(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230853,c_193438]) ).

tcf(c_231166,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230853,c_189330]) ).

tcf(c_231167,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230853,c_183155]) ).

tcf(c_231168,plain,
    ! [X0: $i] : mem(iPr_def_16,u(iPr_def_17,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181292]) ).

tcf(c_231169,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_188431]) ).

tcf(c_231172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,u(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_230853,c_186614]) ).

tcf(c_231173,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,u(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_230853,c_186601]) ).

tcf(c_231174,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_188416]) ).

tcf(c_231175,plain,
    ! [X0: $i] : mem(iPr_def_16,u(iPr_def_18,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181835]) ).

tcf(c_231176,plain,
    ! [X0: $i] : mem(iPr_def_12,u(iPr_def_18,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181297]) ).

tcf(c_231179,plain,
    ! [X0: $i] : mem(iPr_def_10,u(iPr_def_15,X0)),
    inference(superposition,[status(thm)],[c_230853,c_183340]) ).

tcf(c_231180,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_182657]) ).

tcf(c_231181,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_182420]) ).

tcf(c_231182,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_182362]) ).

tcf(c_231183,plain,
    ! [X0: $i] : mem(iPr_def_13,u(iPr_def_15,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181650]) ).

tcf(c_231184,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,u(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_186589]) ).

tcf(c_231185,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,u(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_186577]) ).

tcf(c_231186,plain,
    ! [X0: $i] : mem(iPr_def_19,u(iPr_def_20,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181293]) ).

tcf(c_231194,plain,
    ! [X0: $i] : mem(iPr_def_10,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_230853,c_183356]) ).

tcf(c_231195,plain,
    ! [X0: $i] : mem(iPr_def_16,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181843]) ).

tcf(c_231196,plain,
    ! [X0: $i] : mem(iPr_def_19,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181840]) ).

tcf(c_231197,plain,
    ! [X0: $i] : mem(iPr_def_12,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181422]) ).

tcf(c_231198,plain,
    ! [X0: $i] : mem(iPr_def_13,u(iPr_def_21,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181661]) ).

tcf(c_231199,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,u(iPr_def_13,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230853,c_184450]) ).

tcf(c_231202,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(iPr_def_13,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186861]) ).

tcf(c_231203,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,u(iPr_def_13,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_187427]) ).

tcf(c_231204,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,u(iPr_def_13,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_186839]) ).

tcf(c_231205,plain,
    ! [X0: $i] : mem(iPr_def_10,u(iPr_def_13,X0)),
    inference(superposition,[status(thm)],[c_230853,c_183332]) ).

tcf(c_231206,plain,
    ! [X0: $i] : mem(e,u(iPr_def_13,X0)),
    inference(superposition,[status(thm)],[c_230853,c_181444]) ).

tcf(c_231207,plain,
    ! [X0: $i] : mem(iPr_def_10,u(p(iPr_def_10),X0)),
    inference(superposition,[status(thm)],[c_230853,c_183351]) ).

tcf(c_231208,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_12,X0),X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_207719]) ).

tcf(c_231209,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X0),X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_206660]) ).

tcf(c_231210,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_12,X0),X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_206641]) ).

tcf(c_231211,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_12,X0),X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_206622]) ).

tcf(c_231212,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X0),X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_206606]) ).

tcf(c_231213,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_226027]) ).

tcf(c_231214,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_225853]) ).

tcf(c_231215,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_225810]) ).

tcf(c_231216,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_21,X0),X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_205984]) ).

tcf(c_231217,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_21,X0),X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_205867]) ).

tcf(c_231218,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_21,X0),X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_205855]) ).

tcf(c_231219,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_21,X0),X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_205843]) ).

tcf(c_231220,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_21,X0),X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_205831]) ).

tcf(c_231221,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,u(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_183354]) ).

tcf(c_231222,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,u(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_182688]) ).

tcf(c_231223,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,u(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_182464]) ).

tcf(c_231224,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,u(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_182431]) ).

tcf(c_231225,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,u(sK0(p(iPr_def_21),X0),X1))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_181997]) ).

tcf(c_231226,plain,
    ! [X0: $i] : mem(iPr_def_19,u(p(iPr_def_19),X0)),
    inference(superposition,[status(thm)],[c_230853,c_183486]) ).

tcf(c_231227,plain,
    ! [X0: $i] : mem(iPr_def_10,u(p(iPr_def_13),X0)),
    inference(superposition,[status(thm)],[c_230853,c_183338]) ).

tcf(c_231228,plain,
    ! [X0: $i] : mem(iPr_def_12,u(p(iPr_def_13),X0)),
    inference(superposition,[status(thm)],[c_230853,c_183047]) ).

tcf(c_231229,plain,
    ! [X0: $i] : mem(iPr_def_13,u(p(iPr_def_13),X0)),
    inference(superposition,[status(thm)],[c_230853,c_182209]) ).

tcf(c_231230,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_10,u(sK0(iPr_def_19,X0),X1))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_183830]) ).

tcf(c_231663,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(s(sK0(X0,iPr_def_21)),m(iPr_def_18,X1)) = sK0(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198896,c_230928]) ).

tcf(c_231664,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(s(sK0(X0,iPr_def_21)),iPr_def_18) = sK0(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_182860,c_230928]) ).

tcf(c_231665,plain,
    ! [X0: $i] : subq(m(iPr_def_18,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_181173,c_230928]) ).

tcf(c_231667,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181283,c_230928]) ).

tcf(c_231676,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ~ subq(iPr_def_13,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_183900,c_230928]) ).

tcf(c_231699,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(u(iPr_def_15,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230861,c_65]) ).

tcf(c_231700,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_12 )
      | ~ subq(u(iPr_def_15,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230861,c_52]) ).

tcf(c_231702,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_15,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230861,c_195726]) ).

tcf(c_231703,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_15,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230861,c_186629]) ).

tcf(c_231704,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(iPr_def_15,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230861,c_186418]) ).

tcf(c_231705,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(iPr_def_15,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230861,c_186373]) ).

tcf(c_231733,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(u(iPr_def_18,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230862,c_65]) ).

tcf(c_231734,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_18,X0) = iPr_def_16 )
      | ~ subq(u(iPr_def_18,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230862,c_52]) ).

tcf(c_231748,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_18)
      | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_230863,c_65]) ).

tcf(c_231749,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_18 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_230863,c_52]) ).

tcf(c_231760,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_18) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_231748,c_185435]) ).

tcf(c_231768,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | subq(u(iPr_def_13,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230865,c_65]) ).

tcf(c_231769,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_12 )
      | ~ subq(u(iPr_def_13,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230865,c_52]) ).

tcf(c_231771,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_13,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230865,c_195726]) ).

tcf(c_231772,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_13,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230865,c_186629]) ).

tcf(c_231773,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(iPr_def_13,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230865,c_186418]) ).

tcf(c_231801,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_16 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_16)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_225946]) ).

tcf(c_231802,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | ( m(iPr_def_18,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_225946]) ).

tcf(c_231825,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_17)
      | atleast3p(m(iPr_def_18,X0))
      | subq(iPr_def_17,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_65]) ).

tcf(c_231826,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | ( m(iPr_def_18,X0) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ subq(iPr_def_17,m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_52]) ).

tcf(c_231827,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_17)
      | atleast3p(m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_226027]) ).

tcf(c_231829,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_225810]) ).

tcf(c_231839,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(iPr_def_17,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_231825,c_181716]) ).

tcf(c_231856,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_17 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_17)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_225982]) ).

tcf(c_231857,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | ( m(iPr_def_18,X0) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_225982]) ).

tcf(c_231879,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(global_subsumption_just,[status(thm)],[c_222250,c_68,c_69,c_74,c_1178,c_1282,c_2683,c_2974,c_3129,c_5028,c_9313,c_15989,c_23057,c_46205,c_51490,c_67507,c_70081,c_71443,c_133257]) ).

tcf(c_231888,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_231879,c_51]) ).

tcf(c_231889,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231879,c_183534]) ).

tcf(c_231890,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,iPr_def_13)) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231879,c_187680]) ).

tcf(c_231908,plain,
    ( subq(s(iPr_def_15),iPr_def_19)
    | ( iPr_def_12 = iPr_def_15 )
    | ~ mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_201326,c_49]) ).

tcf(c_231909,plain,
    ( mem(iPr_def_15,s(iPr_def_15))
    | subq(s(iPr_def_15),iPr_def_19)
    | ( iPr_def_12 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_201326,c_50]) ).

tcf(c_231911,plain,
    ! [X0: $i] :
      ( mem(iPr_def_15,X0)
      | subq(s(iPr_def_15),iPr_def_19)
      | ( iPr_def_12 = iPr_def_15 )
      | ~ subq(s(iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_201326,c_181283]) ).

tcf(c_231925,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(s(sK0(X0,iPr_def_18)),m(iPr_def_16,X1)) = sK0(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198896,c_230931]) ).

tcf(c_231926,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(s(sK0(X0,iPr_def_18)),iPr_def_16) = sK0(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_182860,c_230931]) ).

tcf(c_231927,plain,
    ! [X0: $i] : subq(m(iPr_def_16,X0),iPr_def_18),
    inference(superposition,[status(thm)],[c_181173,c_230931]) ).

tcf(c_231928,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181283,c_230931]) ).

tcf(c_231929,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183073,c_230931]) ).

tcf(c_231930,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182629,c_230931]) ).

tcf(c_231931,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183665,c_230931]) ).

tcf(c_231934,plain,
    ( subq(iPr_def_18,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_182838,c_230931]) ).

tcf(c_231935,plain,
    ( subq(iPr_def_15,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181299,c_230931]) ).

tcf(c_231936,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183900,c_230931]) ).

tcf(c_231937,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ~ subq(iPr_def_15,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183082,c_230931]) ).

tcf(c_231938,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183910,c_230931]) ).

tcf(c_231941,plain,
    ( subq(iPr_def_20,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183272,c_230931]) ).

tcf(c_231983,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(s(sK0(X0,iPr_def_15)),m(iPr_def_12,X1)) = sK0(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198896,c_230934]) ).

tcf(c_231984,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(s(sK0(X0,iPr_def_15)),iPr_def_12) = sK0(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_182860,c_230934]) ).

tcf(c_231985,plain,
    ! [X0: $i] : subq(m(iPr_def_12,X0),iPr_def_15),
    inference(superposition,[status(thm)],[c_181173,c_230934]) ).

tcf(c_231986,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ subq(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181283,c_230934]) ).

tcf(c_231990,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183681,c_230934]) ).

tcf(c_231991,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182675,c_230934]) ).

tcf(c_231992,plain,
    ( subq(iPr_def_18,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182838,c_230934]) ).

tcf(c_231993,plain,
    ( subq(iPr_def_15,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_181299,c_230934]) ).

tcf(c_231994,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183900,c_230934]) ).

tcf(c_231997,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184132,c_230934]) ).

tcf(c_231998,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ~ subq(iPr_def_18,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183103,c_230934]) ).

tcf(c_231999,plain,
    ( subq(iPr_def_20,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183272,c_230934]) ).

tcf(c_232087,plain,
    ( subq(iPr_def_15,iPr_def_12)
    | atleast3p(u(iPr_def_12,iPr_def_14))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_661,c_231138]) ).

tcf(c_232088,plain,
    ( subq(iPr_def_18,iPr_def_16)
    | atleast3p(u(iPr_def_16,iPr_def_17))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_231138]) ).

tcf(c_232089,plain,
    ( subq(iPr_def_21,iPr_def_18)
    | atleast3p(u(iPr_def_18,iPr_def_20))
    | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_231138]) ).

tcf(c_232090,plain,
    ( subq(iPr_def_21,iPr_def_15)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_180980,c_231138]) ).

tcf(c_232091,plain,
    ( subq(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_10,iPr_def_12))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183363,c_231138]) ).

tcf(c_232098,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,X1))
      | ( u(X0,X1) = X0 )
      | ~ atleast2p(X0)
      | ~ subq(X0,u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_231138,c_52]) ).

tcf(c_232101,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_12,X1))
      | mem(u(iPr_def_12,X1),X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_231138,c_207878]) ).

tcf(c_232103,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_12,X0))
      | mem(u(iPr_def_12,X0),iPr_def_19)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231138,c_180993]) ).

tcf(c_232104,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(s(X0),X1))
      | ( u(s(X0),X1) = s(X0) )
      | ( sK0(s(X0),u(s(X0),X1)) = X0 )
      | ~ atleast2p(s(X0)) ),
    inference(superposition,[status(thm)],[c_231138,c_181560]) ).

tcf(c_232123,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,X1))
      | ( u(X0,X1) = X0 )
      | ~ atleast2p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_232098,c_230853]) ).

tcf(c_232145,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,X1) = X0 )
      | ( sK0(s(u(X0,X1)),p(X0)) = u(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_231139]) ).

tcf(c_232146,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(p(X0),X1))
      | ( u(p(X0),X1) = p(X0) )
      | ~ mem(X0,u(p(X0),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_231139]) ).

tcf(c_232147,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_19,X0))
      | ( u(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(u(iPr_def_19,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_231139]) ).

tcf(c_232148,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_19,X0))
      | ( u(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(s(u(iPr_def_19,X0)),p(iPr_def_21)) = u(iPr_def_19,X0) )
      | ~ atleast3p(u(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_231139]) ).

tcf(c_232149,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_19,X0))
      | ( u(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_17,u(iPr_def_19,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_231139]) ).

tcf(c_232150,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | ( u(iPr_def_13,X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(u(iPr_def_13,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_231139]) ).

tcf(c_232153,plain,
    ( ( u(iPr_def_12,iPr_def_14) = iPr_def_12 )
    | ~ subq(iPr_def_15,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_661,c_231139]) ).

tcf(c_232154,plain,
    ( ( u(iPr_def_16,iPr_def_17) = iPr_def_16 )
    | ~ subq(iPr_def_18,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_664,c_231139]) ).

tcf(c_232155,plain,
    ( ( u(iPr_def_18,iPr_def_20) = iPr_def_18 )
    | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_667,c_231139]) ).

tcf(c_232156,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_15 )
    | ~ subq(iPr_def_21,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_180980,c_231139]) ).

tcf(c_232157,plain,
    ( ( u(iPr_def_10,iPr_def_12) = iPr_def_10 )
    | ~ subq(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183363,c_231139]) ).

tcf(c_232236,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(u(iPr_def_15,X0),iPr_def_14)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_230866,c_65]) ).

tcf(c_232237,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_14 )
      | ~ subq(u(iPr_def_15,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_230866,c_52]) ).

tcf(c_232262,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(u(iPr_def_18,X0),iPr_def_17)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230867,c_65]) ).

tcf(c_232263,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_18,X0) = iPr_def_17 )
      | ~ subq(u(iPr_def_18,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230867,c_52]) ).

tcf(c_232264,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230867,c_188459]) ).

tcf(c_232283,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_20)
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_230868,c_65]) ).

tcf(c_232284,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_20 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_230868,c_52]) ).

tcf(c_232326,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230874,c_65]) ).

tcf(c_232327,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_16 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230874,c_52]) ).

tcf(c_232369,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_222392,c_51]) ).

tcf(c_232370,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_16,iPr_def_10)
      | subq(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_190313]) ).

tcf(c_232371,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_183362]) ).

tcf(c_232372,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_181149]) ).

tcf(c_232373,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_181127]) ).

tcf(c_232374,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_17,m(X1,iPr_def_12)) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_187546]) ).

tcf(c_232375,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | subq(iPr_def_17,iPr_def_12)
      | ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_202801]) ).

tcf(c_232443,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_223186,c_51]) ).

tcf(c_232444,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_19,iPr_def_10)
      | subq(iPr_def_10,iPr_def_19)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_190313]) ).

tcf(c_232445,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_183362]) ).

tcf(c_232446,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_181149]) ).

tcf(c_232447,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_181127]) ).

tcf(c_232448,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_20,m(X1,iPr_def_12)) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_187680]) ).

tcf(c_232449,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | subq(iPr_def_20,iPr_def_12)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_202987]) ).

tcf(c_232450,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | subq(iPr_def_20,iPr_def_12)
      | ( iPr_def_12 = iPr_def_20 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_200634]) ).

tcf(c_232526,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_223211,c_51]) ).

tcf(c_232527,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | subq(iPr_def_10,iPr_def_12)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_190313]) ).

tcf(c_232528,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_183362]) ).

tcf(c_232529,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_181149]) ).

tcf(c_232530,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_181127]) ).

tcf(c_232531,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_16,m(X1,iPr_def_12)) = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_187219]) ).

tcf(c_232533,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_10 = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_200935]) ).

tcf(c_232534,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | subq(iPr_def_16,iPr_def_12)
      | ( iPr_def_12 = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_199145]) ).

tcf(c_232558,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_232527,c_194794]) ).

tcf(c_232615,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13)
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_223232,c_51]) ).

tcf(c_232617,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223232,c_183362]) ).

tcf(c_232618,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | mem(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223232,c_181149]) ).

tcf(c_232620,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_14,m(X1,iPr_def_12)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223232,c_187127]) ).

tcf(c_232621,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | subq(iPr_def_14,iPr_def_12)
      | ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223232,c_200404]) ).

tcf(c_232665,plain,
    ( subq(iPr_def_21,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_180980,c_231699]) ).

tcf(c_232672,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | ( u(iPr_def_15,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_12,u(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_231699,c_52]) ).

tcf(c_232673,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X1))
      | mem(u(iPr_def_15,X1),X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_231699,c_207878]) ).

tcf(c_232675,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | mem(u(iPr_def_15,X0),iPr_def_19)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_180993]) ).

tcf(c_232676,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_232665,c_180980]) ).

tcf(c_232684,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | ( u(iPr_def_15,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_232672,c_230861]) ).

tcf(c_232709,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(s(u(iPr_def_15,X0)),p(iPr_def_12)) = u(iPr_def_15,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_231700]) ).

tcf(c_232711,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_12 )
    | ~ subq(iPr_def_21,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_180980,c_231700]) ).

tcf(c_232713,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(s(u(iPr_def_15,X0)),iPr_def_19) = u(iPr_def_15,X0) ) ),
    inference(light_normalisation,[status(thm)],[c_232709,c_665]) ).

tcf(c_232739,plain,
    ( subq(iPr_def_21,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_20))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_667,c_231733]) ).

tcf(c_232746,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | ( u(iPr_def_18,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_231733,c_52]) ).

tcf(c_232747,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_232739,c_667]) ).

tcf(c_232748,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | ( u(iPr_def_18,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_232746,c_230862]) ).

tcf(c_232756,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_18,X0) = iPr_def_16 )
      | ( sK0(s(u(iPr_def_18,X0)),p(iPr_def_16)) = u(iPr_def_18,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_231734]) ).

tcf(c_232758,plain,
    ( ( u(iPr_def_18,iPr_def_20) = iPr_def_16 )
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_667,c_231734]) ).

tcf(c_232775,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,u(iPr_def_13,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_230878,c_202827]) ).

tcf(c_232776,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(iPr_def_13,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_230878,c_202514]) ).

tcf(c_232777,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(iPr_def_13,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_230878,c_202427]) ).

tcf(c_232778,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(iPr_def_13,X0))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_230878,c_202290]) ).

tcf(c_232780,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | subq(u(iPr_def_13,X0),iPr_def_10)
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_230878,c_65]) ).

tcf(c_232781,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_10 )
      | ~ subq(u(iPr_def_13,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_230878,c_52]) ).

tcf(c_232808,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_17)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230883,c_65]) ).

tcf(c_232809,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_17 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230883,c_52]) ).

tcf(c_232848,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_15)
      | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230885,c_65]) ).

tcf(c_232849,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_15 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230885,c_52]) ).

tcf(c_232859,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_232848,c_182803]) ).

tcf(c_233030,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230886,c_65]) ).

tcf(c_233031,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_12 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_230886,c_52]) ).

tcf(c_233053,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_226080]) ).

tcf(c_233061,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_18,X0),X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_226080]) ).

tcf(c_233062,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | mem(iPr_def_13,m(m(iPr_def_18,X0),X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ atleast2p(m(m(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_226080]) ).

tcf(c_233063,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_226080]) ).

tcf(c_233064,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_226080]) ).

tcf(c_233098,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_226128]) ).

tcf(c_233106,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_18,X0),X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_226128]) ).

tcf(c_233107,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | mem(iPr_def_10,m(m(iPr_def_18,X0),X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ atleast2p(m(m(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_226128]) ).

tcf(c_233108,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_226128]) ).

tcf(c_233109,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_226128]) ).

tcf(c_233145,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(iPr_def_13),p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_222391]) ).

tcf(c_233151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X2)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_222391]) ).

tcf(c_233152,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_222391]) ).

tcf(c_233155,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_16,iPr_def_19)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_222391]) ).

tcf(c_233156,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X1)
      | mem(iPr_def_16,sK0(iPr_def_14,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_222391]) ).

tcf(c_233157,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_13,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_230853,c_222391]) ).

tcf(c_233193,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(iPr_def_13),p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_223185]) ).

tcf(c_233199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X2)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_223185]) ).

tcf(c_233200,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_223185]) ).

tcf(c_233203,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_19)
      | mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_223185]) ).

tcf(c_233204,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X1)
      | mem(iPr_def_19,sK0(iPr_def_14,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_223185]) ).

tcf(c_233205,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_13,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_230853,c_223185]) ).

tcf(c_233241,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(iPr_def_13),p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_223210]) ).

tcf(c_233247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X2)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_223210]) ).

tcf(c_233248,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_223210]) ).

tcf(c_233252,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X1)
      | mem(iPr_def_12,sK0(iPr_def_14,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_223210]) ).

tcf(c_233253,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_13,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_230853,c_223210]) ).

tcf(c_233282,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(iPr_def_13),p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_223231]) ).

tcf(c_233288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X2)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(X0),X1)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_223231]) ).

tcf(c_233289,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_187129,c_223231]) ).

tcf(c_233292,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_13,iPr_def_19)
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186960,c_223231]) ).

tcf(c_233293,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X1)
      | mem(iPr_def_13,sK0(iPr_def_14,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_186953,c_223231]) ).

tcf(c_233294,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_13,X1))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_230853,c_223231]) ).

tcf(c_233322,plain,
    sK0(iPr_def_20,p(iPr_def_10)) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_203195,c_1179,c_2800,c_35004,c_172304,c_217193]) ).

tcf(c_233324,plain,
    ( subq(iPr_def_20,p(iPr_def_10))
    | ~ mem(iPr_def_19,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_233322,c_49]) ).

tcf(c_233326,plain,
    ( subq(iPr_def_20,p(iPr_def_10))
    | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_233322,c_181012]) ).

tcf(c_233327,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_10))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_233322,c_181283]) ).

tcf(c_233329,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_19,iPr_def_19)
    | subq(iPr_def_20,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_233322,c_188300]) ).

tcf(c_233331,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(iPr_def_10))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_233322,c_183272]) ).

tcf(c_233352,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_15 )
      | ~ subq(iPr_def_15,u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232859,c_52]) ).

tcf(c_233354,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_15 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_233352,c_230885]) ).

tcf(c_233361,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_10))
      | ( sK0(s(iPr_def_19),m(p(iPr_def_10),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_233324]) ).

tcf(c_233362,plain,
    ( subq(iPr_def_20,p(iPr_def_10))
    | ( sK0(s(iPr_def_19),p(iPr_def_10)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_233324]) ).

tcf(c_233364,plain,
    ( subq(iPr_def_20,p(iPr_def_10))
    | ( sK0(s(p(iPr_def_10)),p(iPr_def_21)) = p(iPr_def_10) )
    | ~ atleast3p(p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_201860,c_233324]) ).

tcf(c_233365,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(iPr_def_10))
      | ( sK0(iPr_def_20,m(p(iPr_def_10),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_233324]) ).

tcf(c_233368,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_19,iPr_def_12)
    | subq(iPr_def_20,p(iPr_def_10))
    | ~ atleast3p(iPr_def_15)
    | ~ mem(iPr_def_10,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_233324]) ).

tcf(c_233369,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_20,p(iPr_def_10))
    | ~ mem(iPr_def_10,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_233324]) ).

tcf(c_233390,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_18 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_18)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_231749]) ).

tcf(c_233394,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(global_subsumption_just,[status(thm)],[c_231768,c_98184]) ).

tcf(c_233400,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_13,X1)),p(iPr_def_21)) = u(iPr_def_13,X1) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_13,X1))) = iPr_def_10 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233394,c_220152]) ).

tcf(c_233401,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_13,X1)),p(iPr_def_21)) = u(iPr_def_13,X1) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_13,X1))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233394,c_219246]) ).

tcf(c_233402,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_13,X1)),p(iPr_def_21)) = u(iPr_def_13,X1) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_13,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233394,c_218749]) ).

tcf(c_233403,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_13,X1)),p(iPr_def_21)) = u(iPr_def_13,X1) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_13,X1))) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233394,c_218515]) ).

tcf(c_233404,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_13,X1)),p(iPr_def_21)) = u(iPr_def_13,X1) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_13,X1))) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233394,c_218103]) ).

tcf(c_233405,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_13,X0)),p(iPr_def_21)) = u(iPr_def_13,X0) )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233394,c_202915]) ).

tcf(c_233435,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_14)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_230887,c_65]) ).

tcf(c_233436,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_14 )
      | ~ subq(u(iPr_def_21,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_230887,c_52]) ).

tcf(c_233447,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_231144,c_51]) ).

tcf(c_233449,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(iPr_def_19,X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_231144,c_187219]) ).

tcf(c_233450,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_19,X0))
      | subq(u(iPr_def_19,X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231144,c_181263]) ).

tcf(c_233455,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(iPr_def_19,X0),X1) ),
    inference(superposition,[status(thm)],[c_231145,c_51]) ).

tcf(c_233457,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(iPr_def_19,X1))) = e,
    inference(superposition,[status(thm)],[c_231145,c_185755]) ).

tcf(c_233461,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(iPr_def_10,X0),X1) ),
    inference(superposition,[status(thm)],[c_231146,c_51]) ).

tcf(c_233463,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(iPr_def_10,X1))) = e,
    inference(superposition,[status(thm)],[c_231146,c_185755]) ).

tcf(c_233491,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_226303]) ).

tcf(c_233499,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,u(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_226303]) ).

tcf(c_233500,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | atleast3p(m(iPr_def_18,X0))
      | mem(iPr_def_13,m(m(iPr_def_18,X0),X1))
      | ~ atleast2p(m(iPr_def_18,X0))
      | ~ atleast2p(m(m(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_226303]) ).

tcf(c_233501,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_17)
      | mem(iPr_def_12,iPr_def_13)
      | atleast3p(m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225981,c_226303]) ).

tcf(c_233502,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_16)
      | mem(iPr_def_12,iPr_def_13)
      | atleast3p(m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_226303]) ).

tcf(c_233563,plain,
    ! [X0: $i] :
      ( ( m(s(e),X0) = s(e) )
      | ( sK0(iPr_def_10,m(iPr_def_10,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_656,c_205217]) ).

tcf(c_233564,plain,
    ! [X0: $i] :
      ( ( m(s(iPr_def_13),X0) = s(iPr_def_13) )
      | ( sK0(iPr_def_14,m(iPr_def_14,X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193293,c_205217]) ).

tcf(c_233566,plain,
    ! [X0: $i] :
      ( ( m(s(iPr_def_12),X0) = s(iPr_def_12) )
      | ( sK0(iPr_def_16,m(iPr_def_16,X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193015,c_205217]) ).

tcf(c_233568,plain,
    ! [X0: $i] :
      ( ( m(s(iPr_def_16),X0) = s(iPr_def_16) )
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192554,c_205217]) ).

tcf(c_233570,plain,
    ! [X0: $i] :
      ( ( m(s(iPr_def_19),X0) = s(iPr_def_19) )
      | ( sK0(iPr_def_20,m(iPr_def_20,X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_666,c_205217]) ).

tcf(c_233571,plain,
    ! [X0: $i] :
      ( ( m(s(iPr_def_10),X0) = s(iPr_def_10) )
      | ( sK0(iPr_def_12,m(iPr_def_12,X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183366,c_205217]) ).

tcf(c_233572,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(s(X0),X1))
      | ( m(s(X0),X1) = s(X0) )
      | ~ mem(X0,m(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_205217,c_49]) ).

tcf(c_233574,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(s(X0),X2))
      | ( m(s(X0),X2) = s(X0) )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_205217,c_181283]) ).

tcf(c_233610,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(iPr_def_19,X0)),p(X1)) = u(iPr_def_19,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233447]) ).

tcf(c_233611,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_19,X1))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(iPr_def_19,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233447]) ).

tcf(c_233616,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(iPr_def_19,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_19,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_233447]) ).

tcf(c_233617,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(iPr_def_19,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233447]) ).

tcf(c_233618,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_19,X0))
      | mem(iPr_def_12,m(u(iPr_def_19,X0),X1))
      | ~ atleast2p(m(u(iPr_def_19,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233447]) ).

tcf(c_233637,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(iPr_def_19,X0)),p(X1)) = u(iPr_def_19,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233455]) ).

tcf(c_233638,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_19,X1))
      | mem(e,p(X0))
      | ~ mem(X0,u(iPr_def_19,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233455]) ).

tcf(c_233644,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(iPr_def_19,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233455]) ).

tcf(c_233645,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_19,X0))
      | mem(e,m(u(iPr_def_19,X0),X1))
      | ~ atleast2p(m(u(iPr_def_19,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233455]) ).

tcf(c_233693,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(iPr_def_10,X0)),p(X1)) = u(iPr_def_10,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233461]) ).

tcf(c_233694,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_10,X1))
      | mem(e,p(X0))
      | ~ mem(X0,u(iPr_def_10,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233461]) ).

tcf(c_233700,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(iPr_def_10,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233461]) ).

tcf(c_233701,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_10,X0))
      | mem(e,m(u(iPr_def_10,X0),X1))
      | ~ atleast2p(m(u(iPr_def_10,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233461]) ).

tcf(c_233734,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_12 )
      | ( sK0(s(u(iPr_def_13,X0)),p(iPr_def_12)) = u(iPr_def_13,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_231769]) ).

tcf(c_233735,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_12 )
      | ( sK0(s(u(iPr_def_13,X0)),iPr_def_19) = u(iPr_def_13,X0) ) ),
    inference(light_normalisation,[status(thm)],[c_233734,c_665]) ).

tcf(c_233740,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_231154,c_51]) ).

tcf(c_233742,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(iPr_def_12,X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231154,c_189953]) ).

tcf(c_233746,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(iPr_def_14,X0),X1) ),
    inference(superposition,[status(thm)],[c_231159,c_51]) ).

tcf(c_233748,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(iPr_def_14,X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_231159,c_187127]) ).

tcf(c_233752,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_231162,c_51]) ).

tcf(c_233754,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(iPr_def_16,X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_231162,c_187219]) ).

tcf(c_233755,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_16,X0))
      | subq(u(iPr_def_16,X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231162,c_181263]) ).

tcf(c_233913,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(u(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_231168,c_51]) ).

tcf(c_233915,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(iPr_def_17,X1))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_231168,c_187546]) ).

tcf(c_233958,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_17 )
      | ( sK0(s(iPr_def_13),p(iPr_def_17)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_222103]) ).

tcf(c_233959,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_17 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_17),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_222103]) ).

tcf(c_233967,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ~ subq(iPr_def_13,iPr_def_16) ),
    inference(global_subsumption_just,[status(thm)],[c_222131,c_68,c_69,c_74,c_1178,c_1282,c_1397,c_1441,c_1671,c_2683,c_5028,c_5263,c_8730,c_14642,c_47238,c_51490,c_52188]) ).

tcf(c_233973,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(s(iPr_def_13),p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_233967]) ).

tcf(c_233974,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_233967]) ).

tcf(c_233997,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_183366,c_206280]) ).

tcf(c_233998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | mem(X0,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_59]) ).

tcf(c_233999,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X2))) = iPr_def_19 )
      | ~ mem(X0,X2)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_61]) ).

tcf(c_234000,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_60]) ).

tcf(c_234001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X2))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X2)
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205283]) ).

tcf(c_234002,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_205213]) ).

tcf(c_234003,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(iPr_def_12)
      | subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205212]) ).

tcf(c_234004,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_202832]) ).

tcf(c_234005,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_202519]) ).

tcf(c_234006,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_202432]) ).

tcf(c_234007,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,X1)),p(iPr_def_21)) = m(iPr_def_12,X1) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_202295]) ).

tcf(c_234009,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_205284]) ).

tcf(c_234010,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205070]) ).

tcf(c_234011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(sK0(X0,X2),iPr_def_12)
      | subq(m(iPr_def_12,X1),X2)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181173]) ).

tcf(c_234012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_12,X2))) = iPr_def_10 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_220181]) ).

tcf(c_234013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X1,m(iPr_def_12,X2))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_219270]) ).

tcf(c_234014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X1,m(iPr_def_12,X2))) = iPr_def_16 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_218772]) ).

tcf(c_234015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X1,m(iPr_def_12,X2))) = iPr_def_12 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_218545]) ).

tcf(c_234016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_12,X2))) = iPr_def_13 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_218124]) ).

tcf(c_234018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_207719]) ).

tcf(c_234019,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206663]) ).

tcf(c_234020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206660]) ).

tcf(c_234021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206641]) ).

tcf(c_234022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206622]) ).

tcf(c_234023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206606]) ).

tcf(c_234024,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_213450]) ).

tcf(c_234025,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_212809]) ).

tcf(c_234026,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_210260]) ).

tcf(c_234027,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_209934]) ).

tcf(c_234028,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_13,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_207720]) ).

tcf(c_234029,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_12,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_206661]) ).

tcf(c_234030,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_19,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_206642]) ).

tcf(c_234031,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_16,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_206623]) ).

tcf(c_234036,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_206624]) ).

tcf(c_234038,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206355]) ).

tcf(c_234039,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206354]) ).

tcf(c_234040,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206353]) ).

tcf(c_234041,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206352]) ).

tcf(c_234042,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206351]) ).

tcf(c_234043,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206350]) ).

tcf(c_234044,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206349]) ).

tcf(c_234045,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206348]) ).

tcf(c_234046,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206160]) ).

tcf(c_234047,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_206280,c_205307]) ).

tcf(c_234048,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_13)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_205287]) ).

tcf(c_234049,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205216]) ).

tcf(c_234050,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_193412]) ).

tcf(c_234052,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,iPr_def_12)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_12) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_221627]) ).

tcf(c_234053,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221626]) ).

tcf(c_234054,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221625]) ).

tcf(c_234057,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,iPr_def_14)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_14) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_218482]) ).

tcf(c_234062,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,iPr_def_16)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_16) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_219652]) ).

tcf(c_234065,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,iPr_def_17)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_17) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_220038]) ).

tcf(c_234068,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,iPr_def_20)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_20) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_221232]) ).

tcf(c_234071,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206280]) ).

tcf(c_234072,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,X0)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205285]) ).

tcf(c_234073,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_205265]) ).

tcf(c_234077,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219701]) ).

tcf(c_234078,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219700]) ).

tcf(c_234079,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(m(iPr_def_12,iPr_def_19)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_19) )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_219702]) ).

tcf(c_234084,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,iPr_def_13))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_221090]) ).

tcf(c_234087,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216995]) ).

tcf(c_234088,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,iPr_def_15))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_221423]) ).

tcf(c_234090,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,iPr_def_15))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_219047]) ).

tcf(c_234095,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,iPr_def_18))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_220416]) ).

tcf(c_234097,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,iPr_def_18))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_219579]) ).

tcf(c_234099,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_221064]) ).

tcf(c_234100,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_221029]) ).

tcf(c_234103,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_220436]) ).

tcf(c_234104,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218755]) ).

tcf(c_234105,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_219911]) ).

tcf(c_234106,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218512]) ).

tcf(c_234107,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_219069]) ).

tcf(c_234108,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218120]) ).

tcf(c_234109,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219271]) ).

tcf(c_234110,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220179]) ).

tcf(c_234111,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_12)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226132]) ).

tcf(c_234112,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_12)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226031]) ).

tcf(c_234113,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(m(iPr_def_19,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_228697]) ).

tcf(c_234114,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_12)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221631]) ).

tcf(c_234115,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(X0,iPr_def_12)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221626]) ).

tcf(c_234116,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(m(X0,iPr_def_12)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221625]) ).

tcf(c_234117,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(X0,iPr_def_12))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221626]) ).

tcf(c_234118,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(p(m(X0,iPr_def_12))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221625]) ).

tcf(c_234119,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(X0,p(iPr_def_13)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220182]) ).

tcf(c_234120,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(X0,iPr_def_12))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220168]) ).

tcf(c_234121,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(X0,iPr_def_13))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220166]) ).

tcf(c_234122,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(X0,p(iPr_def_10)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220179]) ).

tcf(c_234123,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(m(X0,iPr_def_19)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219701]) ).

tcf(c_234124,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(m(X0,iPr_def_16)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219651]) ).

tcf(c_234125,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(m(X0,iPr_def_16)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219650]) ).

tcf(c_234126,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(X0,p(iPr_def_13)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218546]) ).

tcf(c_234127,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(m(iPr_def_17,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230334]) ).

tcf(c_234128,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(m(iPr_def_16,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230335]) ).

tcf(c_234129,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(m(X0,iPr_def_19)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219700]) ).

tcf(c_234130,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(m(iPr_def_20,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230333]) ).

tcf(c_234131,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(p(p(e))))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217229]) ).

tcf(c_234132,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(p(p(e))))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216033]) ).

tcf(c_234133,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_21,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227789]) ).

tcf(c_234134,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_18,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227788]) ).

tcf(c_234135,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_15,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227787]) ).

tcf(c_234136,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_17,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227777]) ).

tcf(c_234137,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_16,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227778]) ).

tcf(c_234138,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_14,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227779]) ).

tcf(c_234139,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_14,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227779]) ).

tcf(c_234140,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_20,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227776]) ).

tcf(c_234141,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(p(p(e)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217229]) ).

tcf(c_234142,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(p(p(p(e)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216033]) ).

tcf(c_234143,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(p(e),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_203858]) ).

tcf(c_234144,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_18),p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_209621]) ).

tcf(c_234145,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_15),p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_208829]) ).

tcf(c_234146,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_15 )
      | ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_15),iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201326]) ).

tcf(c_234147,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201303]) ).

tcf(c_234148,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201242]) ).

tcf(c_234149,plain,
    ! [X0: $i] :
      ( ( iPr_def_15 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(iPr_def_15))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201241]) ).

tcf(c_234150,plain,
    ! [X0: $i] :
      ( ( iPr_def_17 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201236]) ).

tcf(c_234151,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201235]) ).

tcf(c_234152,plain,
    ! [X0: $i] :
      ( ( iPr_def_20 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(iPr_def_20))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201232]) ).

tcf(c_234153,plain,
    ! [X0: $i] :
      ( ( iPr_def_17 = iPr_def_18 )
      | ( m(iPr_def_12,X0) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_18),p(iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201231]) ).

tcf(c_234154,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = iPr_def_15 )
      | ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_15),p(iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201230]) ).

tcf(c_234155,plain,
    ! [X0: $i] :
      ( ( iPr_def_18 = iPr_def_21 )
      | ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(iPr_def_18))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201227]) ).

tcf(c_234156,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = iPr_def_18 )
      | ( m(iPr_def_12,X0) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_18),p(iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201226]) ).

tcf(c_234157,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(s(iPr_def_21),p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201212]) ).

tcf(c_234158,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_19,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_226779]) ).

tcf(c_234159,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_208031]) ).

tcf(c_234160,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(iPr_def_19,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222678]) ).

tcf(c_234161,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_15))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210087]) ).

tcf(c_234162,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_13)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_206280,c_226134]) ).

tcf(c_234163,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_13)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_206280,c_226033]) ).

tcf(c_234164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194628]) ).

tcf(c_234165,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_17,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230334]) ).

tcf(c_234166,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_17,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227777]) ).

tcf(c_234167,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_20,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230333]) ).

tcf(c_234168,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_20,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227776]) ).

tcf(c_234169,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(p(iPr_def_17),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222511]) ).

tcf(c_234170,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(p(iPr_def_14),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222505]) ).

tcf(c_234171,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(p(iPr_def_20),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222506]) ).

tcf(c_234172,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_15,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227787]) ).

tcf(c_234173,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_18,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227788]) ).

tcf(c_234174,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_21,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227789]) ).

tcf(c_234175,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_15))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217797]) ).

tcf(c_234176,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(p(m(X0,iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219701]) ).

tcf(c_234177,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(m(X0,iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219700]) ).

tcf(c_234178,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(p(m(X0,iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219651]) ).

tcf(c_234179,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(m(X0,iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219650]) ).

tcf(c_234180,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213584]) ).

tcf(c_234181,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(m(iPr_def_12,X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227780]) ).

tcf(c_234182,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(X0,p(iPr_def_10))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220179]) ).

tcf(c_234183,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(iPr_def_10,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_211286]) ).

tcf(c_234184,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_18))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210088]) ).

tcf(c_234185,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_18))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_207664]) ).

tcf(c_234186,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(p(iPr_def_18),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222503]) ).

tcf(c_234187,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_19)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225816]) ).

tcf(c_234188,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_16)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225815]) ).

tcf(c_234189,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_17)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225857]) ).

tcf(c_234190,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_21)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_226309]) ).

tcf(c_234191,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_21)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_226133]) ).

tcf(c_234192,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_21)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_226086]) ).

tcf(c_234193,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_21)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_206280,c_226032]) ).

tcf(c_234194,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_15)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_206280,c_226308]) ).

tcf(c_234195,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_15)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_206280,c_226135]) ).

tcf(c_234196,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_15)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_206280,c_226085]) ).

tcf(c_234197,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_15)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_206280,c_226034]) ).

tcf(c_234198,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_14)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226307]) ).

tcf(c_234199,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_14)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226084]) ).

tcf(c_234200,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(X0,iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220156]) ).

tcf(c_234201,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,m(X0,iPr_def_15))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220167]) ).

tcf(c_234202,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(p(iPr_def_16),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194458]) ).

tcf(c_234203,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_20)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221236]) ).

tcf(c_234204,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_17)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220042]) ).

tcf(c_234205,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(X0,iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219251]) ).

tcf(c_234206,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(X0,p(iPr_def_19)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219271]) ).

tcf(c_234207,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(X0,p(iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219271]) ).

tcf(c_234208,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(X0,iPr_def_20))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219245]) ).

tcf(c_234209,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(p(iPr_def_18),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222503]) ).

tcf(c_234210,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_19)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219708]) ).

tcf(c_234211,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_16)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219658]) ).

tcf(c_234212,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_21)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219599]) ).

tcf(c_234213,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,iPr_def_14)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218486]) ).

tcf(c_234214,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(X0,iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218755]) ).

tcf(c_234215,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(X0,iPr_def_18))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218754]) ).

tcf(c_234216,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(X0,iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218748]) ).

tcf(c_234217,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(X0,iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218512]) ).

tcf(c_234218,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(X0,iPr_def_18))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218511]) ).

tcf(c_234219,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(X0,iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218510]) ).

tcf(c_234220,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(X0,iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218509]) ).

tcf(c_234221,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(X0,iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218120]) ).

tcf(c_234222,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_21)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221064]) ).

tcf(c_234223,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_21)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221029]) ).

tcf(c_234224,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_21)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220156]) ).

tcf(c_234225,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_21)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219251]) ).

tcf(c_234226,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_21)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220436]) ).

tcf(c_234227,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_21)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218755]) ).

tcf(c_234228,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_21)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219911]) ).

tcf(c_234229,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_21)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218512]) ).

tcf(c_234230,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_21)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219069]) ).

tcf(c_234231,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_21)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218120]) ).

tcf(c_234232,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(X1,iPr_def_18))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_18)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220416]) ).

tcf(c_234233,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_18)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218754]) ).

tcf(c_234234,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X1,iPr_def_18))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_18)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219579]) ).

tcf(c_234235,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_18)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218511]) ).

tcf(c_234236,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(X0,p(iPr_def_13)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218125]) ).

tcf(c_234237,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(X0,p(iPr_def_13))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220182]) ).

tcf(c_234238,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(X0,p(iPr_def_13))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218546]) ).

tcf(c_234239,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(X0,p(iPr_def_13))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218125]) ).

tcf(c_234240,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(X0,iPr_def_15))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218107]) ).

tcf(c_234241,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X1,iPr_def_15))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_15)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221423]) ).

tcf(c_234242,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_15)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220167]) ).

tcf(c_234243,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(X1,iPr_def_15))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_15)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219047]) ).

tcf(c_234244,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_15)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218107]) ).

tcf(c_234245,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(X0,iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218102]) ).

tcf(c_234246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(X0,p(X1)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217006]) ).

tcf(c_234247,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(X0,iPr_def_13))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216995]) ).

tcf(c_234248,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(X0,iPr_def_19))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216994]) ).

tcf(c_234249,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(X0,iPr_def_10))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216993]) ).

tcf(c_234250,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(p(e),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_202957]) ).

tcf(c_234251,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(iPr_def_10,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210347]) ).

tcf(c_234252,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(iPr_def_19,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194479]) ).

tcf(c_234253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194424]) ).

tcf(c_234254,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(p(e),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201133]) ).

tcf(c_234255,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(iPr_def_10,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_209306]) ).

tcf(c_234256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194162]) ).

tcf(c_234257,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_19,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_228697]) ).

tcf(c_234258,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_19,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_226779]) ).

tcf(c_234259,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217818]) ).

tcf(c_234260,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(p(e)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217217]) ).

tcf(c_234261,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(p(e),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_200301]) ).

tcf(c_234262,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(iPr_def_10,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_207813]) ).

tcf(c_234263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193767]) ).

tcf(c_234264,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_16,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230335]) ).

tcf(c_234265,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_16,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227778]) ).

tcf(c_234266,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(p(e)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216021]) ).

tcf(c_234267,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(p(e)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213574]) ).

tcf(c_234268,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(p(e),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_195987]) ).

tcf(c_234269,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(iPr_def_10,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206064]) ).

tcf(c_234270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193585]) ).

tcf(c_234271,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_21))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210105]) ).

tcf(c_234272,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(p(e)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_208022]) ).

tcf(c_234273,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_21,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193135]) ).

tcf(c_234274,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_18,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193130]) ).

tcf(c_234275,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_15,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193129]) ).

tcf(c_234276,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_20,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193118]) ).

tcf(c_234277,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_17,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193119]) ).

tcf(c_234278,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_16,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193120]) ).

tcf(c_234279,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_14,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193121]) ).

tcf(c_234280,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(p(iPr_def_20),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222506]) ).

tcf(c_234281,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(p(iPr_def_17),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222511]) ).

tcf(c_234282,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(p(iPr_def_16),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194458]) ).

tcf(c_234283,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(p(iPr_def_14),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222505]) ).

tcf(c_234284,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X1,iPr_def_13))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_13)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221090]) ).

tcf(c_234285,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_13)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220166]) ).

tcf(c_234286,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X1,iPr_def_13))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_13)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_217166]) ).

tcf(c_234287,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_13)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216995]) ).

tcf(c_234288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193094]) ).

tcf(c_234289,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(p(e),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_203858]) ).

tcf(c_234290,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(p(e),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_202957]) ).

tcf(c_234291,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(p(e),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201133]) ).

tcf(c_234292,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(p(e),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_200301]) ).

tcf(c_234293,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(p(e),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_195987]) ).

tcf(c_234294,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_10))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_215080]) ).

tcf(c_234295,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_10))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_233322]) ).

tcf(c_234296,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210079]) ).

tcf(c_234297,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205966]) ).

tcf(c_234298,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210078]) ).

tcf(c_234299,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192250]) ).

tcf(c_234300,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210077]) ).

tcf(c_234301,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205978]) ).

tcf(c_234302,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(iPr_def_20))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210076]) ).

tcf(c_234303,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(iPr_def_20))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216560]) ).

tcf(c_234304,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(iPr_def_20))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206313]) ).

tcf(c_234305,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,p(m(iPr_def_12,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219701]) ).

tcf(c_234306,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219700]) ).

tcf(c_234307,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_19)))) = iPr_def_19 )
      | ( sK0(s(m(X1,iPr_def_19)),p(iPr_def_21)) = m(X1,iPr_def_19) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219702]) ).

tcf(c_234308,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_19)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219696]) ).

tcf(c_234309,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218510]) ).

tcf(c_234310,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X1,iPr_def_19))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_19)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_217125]) ).

tcf(c_234311,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216994]) ).

tcf(c_234312,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X1,iPr_def_10))
      | ( sK0(iPr_def_20,p(s(m(X1,iPr_def_10)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_217111]) ).

tcf(c_234313,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216993]) ).

tcf(c_234314,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194350]) ).

tcf(c_234315,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(iPr_def_12,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193122]) ).

tcf(c_234316,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210052]) ).

tcf(c_234317,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_207990]) ).

tcf(c_234318,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_191565]) ).

tcf(c_234319,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213542]) ).

tcf(c_234320,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_215990]) ).

tcf(c_234321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X0 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206280]) ).

tcf(c_234322,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217762]) ).

tcf(c_234323,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217186]) ).

tcf(c_234324,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192249]) ).

tcf(c_234325,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X0 )
      | ( m(s(X0),X1) = s(X0) )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),m(s(X0),X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205217]) ).

tcf(c_234326,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(m(iPr_def_12,X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227780]) ).

tcf(c_234327,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_15)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_185823]) ).

tcf(c_234328,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_18)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189657]) ).

tcf(c_234329,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_21)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222857]) ).

tcf(c_234330,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X1) = X0 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(s(X1),X0) = X1 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),p(s(X1)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201224]) ).

tcf(c_234331,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_213448]) ).

tcf(c_234332,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_212808]) ).

tcf(c_234333,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_210294]) ).

tcf(c_234334,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_209932]) ).

tcf(c_234335,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X1)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_185141]) ).

tcf(c_234336,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X1)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_185128]) ).

tcf(c_234337,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X1)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_206280,c_185083]) ).

tcf(c_234338,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_185031]) ).

tcf(c_234339,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_185015]) ).

tcf(c_234340,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_184999]) ).

tcf(c_234341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X2)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_183354]) ).

tcf(c_234342,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_183492]) ).

tcf(c_234343,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_183355]) ).

tcf(c_234344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X2)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_182688]) ).

tcf(c_234345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X2)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_182464]) ).

tcf(c_234346,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_182574]) ).

tcf(c_234347,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X2)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_182431]) ).

tcf(c_234348,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_182393]) ).

tcf(c_234349,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_182295]) ).

tcf(c_234350,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X2)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_181997]) ).

tcf(c_234351,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_181984]) ).

tcf(c_234352,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_181447]) ).

tcf(c_234353,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_21,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_181113]) ).

tcf(c_234354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,p(s(m(X0,p(X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217006]) ).

tcf(c_234355,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227789]) ).

tcf(c_234356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_21,X2))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220180]) ).

tcf(c_234357,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X1,m(iPr_def_21,X2))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219269]) ).

tcf(c_234358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X1,m(iPr_def_21,X2))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218771]) ).

tcf(c_234359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X1,m(iPr_def_21,X2))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218544]) ).

tcf(c_234360,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_21,X2))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218123]) ).

tcf(c_234361,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_213449]) ).

tcf(c_234362,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_212806]) ).

tcf(c_234363,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_206280,c_210170]) ).

tcf(c_234364,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_206280,c_205628]) ).

tcf(c_234365,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_205522]) ).

tcf(c_234366,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_210171]) ).

tcf(c_234367,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_209933]) ).

tcf(c_234368,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_205492]) ).

tcf(c_234369,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205984]) ).

tcf(c_234370,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_19)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205870]) ).

tcf(c_234371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205867]) ).

tcf(c_234372,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205855]) ).

tcf(c_234373,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205843]) ).

tcf(c_234374,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205831]) ).

tcf(c_234375,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205459]) ).

tcf(c_234376,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205985]) ).

tcf(c_234377,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205442]) ).

tcf(c_234378,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205868]) ).

tcf(c_234379,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205856]) ).

tcf(c_234380,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205844]) ).

tcf(c_234381,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205832]) ).

tcf(c_234382,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205441]) ).

tcf(c_234383,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205440]) ).

tcf(c_234384,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205439]) ).

tcf(c_234385,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205438]) ).

tcf(c_234386,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205437]) ).

tcf(c_234387,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205436]) ).

tcf(c_234388,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205435]) ).

tcf(c_234389,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205219]) ).

tcf(c_234390,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193999]) ).

tcf(c_234391,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193135]) ).

tcf(c_234392,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_13,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_231769]) ).

tcf(c_234393,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_233394]) ).

tcf(c_234394,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230878]) ).

tcf(c_234395,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230865]) ).

tcf(c_234396,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230887]) ).

tcf(c_234397,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_206280,c_231749]) ).

tcf(c_234398,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_15)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_232859]) ).

tcf(c_234399,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230886]) ).

tcf(c_234400,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230885]) ).

tcf(c_234401,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230883]) ).

tcf(c_234402,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230874]) ).

tcf(c_234403,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230868]) ).

tcf(c_234404,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230863]) ).

tcf(c_234405,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227787]) ).

tcf(c_234406,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193417]) ).

tcf(c_234407,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193129]) ).

tcf(c_234408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_226303]) ).

tcf(c_234409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_18,X2))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226131]) ).

tcf(c_234410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_18,X2))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226083]) ).

tcf(c_234411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_226128]) ).

tcf(c_234412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_226080]) ).

tcf(c_234413,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_18,X2))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226030]) ).

tcf(c_234414,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_206280,c_225982]) ).

tcf(c_234415,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_12,X1),iPr_def_17)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225981]) ).

tcf(c_234416,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_225946]) ).

tcf(c_234417,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_12,X1),iPr_def_16)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225945]) ).

tcf(c_234418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_226027]) ).

tcf(c_234419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X1,m(iPr_def_18,X2))) = iPr_def_16 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225856]) ).

tcf(c_234420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X1,m(iPr_def_18,X2))) = iPr_def_12 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225813]) ).

tcf(c_234421,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226304]) ).

tcf(c_234422,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227788]) ).

tcf(c_234423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_225853]) ).

tcf(c_234424,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_225810]) ).

tcf(c_234425,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226129]) ).

tcf(c_234426,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226081]) ).

tcf(c_234427,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224829]) ).

tcf(c_234428,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_226028]) ).

tcf(c_234429,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225854]) ).

tcf(c_234430,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_225811]) ).

tcf(c_234431,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224810]) ).

tcf(c_234432,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224806]) ).

tcf(c_234433,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224768]) ).

tcf(c_234434,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224744]) ).

tcf(c_234435,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224741]) ).

tcf(c_234436,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224738]) ).

tcf(c_234437,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_224735]) ).

tcf(c_234438,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193423]) ).

tcf(c_234439,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193130]) ).

tcf(c_234440,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_18,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_231734]) ).

tcf(c_234441,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(m(iPr_def_12,X1),iPr_def_16)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_231733]) ).

tcf(c_234442,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230867]) ).

tcf(c_234443,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230862]) ).

tcf(c_234444,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_15,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_231700]) ).

tcf(c_234445,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(m(iPr_def_12,X1),iPr_def_12)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_231699]) ).

tcf(c_234446,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230866]) ).

tcf(c_234447,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230861]) ).

tcf(c_234448,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(X1,iPr_def_21)))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_206280,c_230928]) ).

tcf(c_234449,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,iPr_def_18)
      | ( sK0(iPr_def_20,p(s(sK0(X1,iPr_def_18)))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_230931]) ).

tcf(c_234450,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,iPr_def_15)
      | ( sK0(iPr_def_20,p(s(sK0(X1,iPr_def_15)))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_230934]) ).

tcf(c_234451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X1 )
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206280]) ).

tcf(c_234452,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205285]) ).

tcf(c_234453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_205265]) ).

tcf(c_234454,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(m(e,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205214]) ).

tcf(c_234455,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,p(m(iPr_def_12,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_228697]) ).

tcf(c_234456,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_206280,c_223363]) ).

tcf(c_234457,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_226779]) ).

tcf(c_234458,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_206280,c_200646]) ).

tcf(c_234459,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_222871]) ).

tcf(c_234460,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_222678]) ).

tcf(c_234461,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_194799]) ).

tcf(c_234462,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194479]) ).

tcf(c_234463,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_211755]) ).

tcf(c_234464,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_210400]) ).

tcf(c_234465,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_209360]) ).

tcf(c_234466,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_207833]) ).

tcf(c_234467,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_206793]) ).

tcf(c_234468,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_211289]) ).

tcf(c_234469,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_211286]) ).

tcf(c_234470,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_210349]) ).

tcf(c_234471,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210347]) ).

tcf(c_234472,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_209309]) ).

tcf(c_234473,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_209306]) ).

tcf(c_234474,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_207816]) ).

tcf(c_234475,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_207813]) ).

tcf(c_234476,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206066]) ).

tcf(c_234477,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206064]) ).

tcf(c_234478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233455]) ).

tcf(c_234479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233447]) ).

tcf(c_234480,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231145]) ).

tcf(c_234481,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231144]) ).

tcf(c_234482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_10,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233461]) ).

tcf(c_234483,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231146]) ).

tcf(c_234484,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_191730]) ).

tcf(c_234485,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_20)))) = iPr_def_19 )
      | ( sK0(s(m(X1,iPr_def_20)),p(iPr_def_21)) = m(X1,iPr_def_20) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221232]) ).

tcf(c_234486,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_20)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221228]) ).

tcf(c_234487,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219245]) ).

tcf(c_234488,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230333]) ).

tcf(c_234489,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227776]) ).

tcf(c_234490,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_20,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193183]) ).

tcf(c_234491,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193118]) ).

tcf(c_234492,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_17)))) = iPr_def_19 )
      | ( sK0(s(m(X1,iPr_def_17)),p(iPr_def_21)) = m(X1,iPr_def_17) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220038]) ).

tcf(c_234493,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_17)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220034]) ).

tcf(c_234494,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218748]) ).

tcf(c_234495,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231168]) ).

tcf(c_234496,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230334]) ).

tcf(c_234497,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227777]) ).

tcf(c_234498,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_17,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193188]) ).

tcf(c_234499,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193119]) ).

tcf(c_234500,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,p(m(iPr_def_12,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219651]) ).

tcf(c_234501,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_219650]) ).

tcf(c_234502,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_16)))) = iPr_def_19 )
      | ( sK0(s(m(X1,iPr_def_16)),p(iPr_def_21)) = m(X1,iPr_def_16) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219652]) ).

tcf(c_234503,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_16)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219646]) ).

tcf(c_234504,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218509]) ).

tcf(c_234505,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231162]) ).

tcf(c_234506,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230335]) ).

tcf(c_234507,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227778]) ).

tcf(c_234508,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193198]) ).

tcf(c_234509,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193120]) ).

tcf(c_234510,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_14)))) = iPr_def_19 )
      | ( sK0(s(m(X1,iPr_def_14)),p(iPr_def_21)) = m(X1,iPr_def_14) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218482]) ).

tcf(c_234511,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_14)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218478]) ).

tcf(c_234512,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_218102]) ).

tcf(c_234513,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231159]) ).

tcf(c_234514,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227779]) ).

tcf(c_234515,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_14,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193406]) ).

tcf(c_234516,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193121]) ).

tcf(c_234517,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_12)))) = iPr_def_19 )
      | ( sK0(s(m(X1,iPr_def_12)),p(iPr_def_21)) = m(X1,iPr_def_12) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221627]) ).

tcf(c_234518,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221626]) ).

tcf(c_234519,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,p(m(iPr_def_12,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_221625]) ).

tcf(c_234520,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X1,iPr_def_12)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_221620]) ).

tcf(c_234521,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(X0,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_220168]) ).

tcf(c_234522,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231154]) ).

tcf(c_234523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_12,X2))) = iPr_def_10 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_220181]) ).

tcf(c_234524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X1,m(iPr_def_12,X2))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_219270]) ).

tcf(c_234525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X1,m(iPr_def_12,X2))) = iPr_def_16 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218772]) ).

tcf(c_234526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X1,m(iPr_def_12,X2))) = iPr_def_12 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218545]) ).

tcf(c_234527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_12,X2))) = iPr_def_13 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_218124]) ).

tcf(c_234528,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_227780]) ).

tcf(c_234529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_207719]) ).

tcf(c_234530,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_12,X0))
      | subq(m(iPr_def_12,X1),iPr_def_19)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206663]) ).

tcf(c_234531,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_206660]) ).

tcf(c_234532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_206641]) ).

tcf(c_234533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_206622]) ).

tcf(c_234534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_206606]) ).

tcf(c_234535,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_213450]) ).

tcf(c_234536,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_212809]) ).

tcf(c_234537,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_210260]) ).

tcf(c_234538,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_209934]) ).

tcf(c_234539,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_207720]) ).

tcf(c_234540,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206661]) ).

tcf(c_234541,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206642]) ).

tcf(c_234542,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206623]) ).

tcf(c_234543,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206607]) ).

tcf(c_234544,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_207721]) ).

tcf(c_234545,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206662]) ).

tcf(c_234546,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206643]) ).

tcf(c_234547,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206624]) ).

tcf(c_234548,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_207732]) ).

tcf(c_234549,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206355]) ).

tcf(c_234550,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206354]) ).

tcf(c_234551,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206353]) ).

tcf(c_234552,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206352]) ).

tcf(c_234553,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206351]) ).

tcf(c_234554,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206350]) ).

tcf(c_234555,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206349]) ).

tcf(c_234556,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206348]) ).

tcf(c_234557,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_206160]) ).

tcf(c_234558,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_206280,c_205307]) ).

tcf(c_234559,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),iPr_def_13)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_205287]) ).

tcf(c_234560,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X1),iPr_def_19)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205216]) ).

tcf(c_234561,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_193412]) ).

tcf(c_234562,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193122]) ).

tcf(c_234563,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_190122]) ).

tcf(c_234564,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187230]) ).

tcf(c_234565,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_186462]) ).

tcf(c_234566,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187140]) ).

tcf(c_234567,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187557]) ).

tcf(c_234568,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187560]) ).

tcf(c_234569,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187234]) ).

tcf(c_234570,plain,
    ! [X0: $i] :
      ( ( iPr_def_16 = iPr_def_17 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_186457]) ).

tcf(c_234571,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187142]) ).

tcf(c_234572,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187691]) ).

tcf(c_234573,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192765]) ).

tcf(c_234574,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194107]) ).

tcf(c_234575,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_185846]) ).

tcf(c_234576,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_191043]) ).

tcf(c_234577,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187144]) ).

tcf(c_234578,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189964]) ).

tcf(c_234579,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189967]) ).

tcf(c_234580,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189970]) ).

tcf(c_234581,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189973]) ).

tcf(c_234582,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187686]) ).

tcf(c_234583,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_20 )
      | ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_200617]) ).

tcf(c_234584,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187552]) ).

tcf(c_234585,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187225]) ).

tcf(c_234586,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_186451]) ).

tcf(c_234587,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187133]) ).

tcf(c_234588,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_203798]) ).

tcf(c_234589,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_202940]) ).

tcf(c_234590,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201116]) ).

tcf(c_234591,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_200255]) ).

tcf(c_234592,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_195968]) ).

tcf(c_234593,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_188016]) ).

tcf(c_234594,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_188026]) ).

tcf(c_234595,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189342]) ).

tcf(c_234596,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189642]) ).

tcf(c_234597,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194973]) ).

tcf(c_234598,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187900]) ).

tcf(c_234599,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_185544]) ).

tcf(c_234600,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_190799]) ).

tcf(c_234601,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_190644]) ).

tcf(c_234602,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198916]) ).

tcf(c_234603,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_20)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184328]) ).

tcf(c_234604,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198913]) ).

tcf(c_234605,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_17)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184332]) ).

tcf(c_234606,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198910]) ).

tcf(c_234607,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_16)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_202596]) ).

tcf(c_234608,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198907]) ).

tcf(c_234609,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_14)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184340]) ).

tcf(c_234610,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189951]) ).

tcf(c_234611,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187678]) ).

tcf(c_234612,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187544]) ).

tcf(c_234613,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187217]) ).

tcf(c_234614,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_186435]) ).

tcf(c_234615,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187125]) ).

tcf(c_234616,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),p(e))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201158]) ).

tcf(c_234617,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_185753]) ).

tcf(c_234619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),s(X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198893]) ).

tcf(c_234620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = s(X1) )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(s(X1),s(X0)) = X1 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),s(X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184024]) ).

tcf(c_234621,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_185738]) ).

tcf(c_234622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183272]) ).

tcf(c_234623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_184132]) ).

tcf(c_234624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183103]) ).

tcf(c_234625,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183082]) ).

tcf(c_234626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183910]) ).

tcf(c_234627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206280]) ).

tcf(c_234628,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217762]) ).

tcf(c_234629,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217186]) ).

tcf(c_234630,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_215990]) ).

tcf(c_234631,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213542]) ).

tcf(c_234632,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210052]) ).

tcf(c_234633,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_207990]) ).

tcf(c_234634,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192249]) ).

tcf(c_234635,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_191565]) ).

tcf(c_234636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183900]) ).

tcf(c_234637,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_181299]) ).

tcf(c_234638,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = X1 )
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(s(X1),m(iPr_def_12,X2)) = X1 )
      | ( sK0(iPr_def_20,p(s(p(s(X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201224]) ).

tcf(c_234639,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_182838]) ).

tcf(c_234640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183681]) ).

tcf(c_234641,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_182675]) ).

tcf(c_234642,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198900]) ).

tcf(c_234643,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_204644]) ).

tcf(c_234644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183073]) ).

tcf(c_234645,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_182629]) ).

tcf(c_234646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183665]) ).

tcf(c_234647,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198902]) ).

tcf(c_234648,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),iPr_def_12)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_200599]) ).

tcf(c_234649,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(s(X0),e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198892]) ).

tcf(c_234650,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_182807]) ).

tcf(c_234651,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192602]) ).

tcf(c_234652,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_188300]) ).

tcf(c_234653,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181800]) ).

tcf(c_234654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,X2) = X1 )
      | ( sK0(iPr_def_20,p(s(u(X1,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_231139]) ).

tcf(c_234655,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,X1))
      | subq(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(u(X0,X1)))) = iPr_def_19 )
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_231138]) ).

tcf(c_234656,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(u(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230853]) ).

tcf(c_234657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X2)
      | mem(m(iPr_def_12,X3),X1)
      | ( sK0(iPr_def_20,p(s(sK0(X0,X2)))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_181283]) ).

tcf(c_234658,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X1,iPr_def_19)
      | ( sK0(iPr_def_20,p(s(sK0(X1,iPr_def_19)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_181254]) ).

tcf(c_234659,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181220]) ).

tcf(c_234660,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181244]) ).

tcf(c_234661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(s(X0),X1) = s(X0) )
      | ( sK0(s(X0),m(iPr_def_12,X2)) = X0 )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205217]) ).

tcf(c_234662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194628]) ).

tcf(c_234663,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194424]) ).

tcf(c_234664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194162]) ).

tcf(c_234665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193767]) ).

tcf(c_234666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193585]) ).

tcf(c_234667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,p(s(m(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193094]) ).

tcf(c_234668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(m(iPr_def_12,X3),X0)
      | subq(m(X0,X1),X2)
      | ( sK0(iPr_def_20,p(s(sK0(m(X0,X1),X2)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181173]) ).

tcf(c_234669,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X3,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_12,X2))
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_205283]) ).

tcf(c_234670,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(X0,X2) = X0 )
      | ( sK0(iPr_def_20,p(s(m(X0,X2)))) = iPr_def_19 )
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_205213]) ).

tcf(c_234671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(X0)
      | subq(X0,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(m(X0,X1)))) = iPr_def_19 )
      | ~ atleast2p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_205212]) ).

tcf(c_234672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202832]) ).

tcf(c_234673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202519]) ).

tcf(c_234674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202432]) ).

tcf(c_234675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202295]) ).

tcf(c_234676,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202181]) ).

tcf(c_234677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(m(iPr_def_12,X3),X1)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205284]) ).

tcf(c_234678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(m(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205070]) ).

tcf(c_234679,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(X0,X1),X3)
      | mem(sK0(m(iPr_def_12,X2),X3),X0)
      | ( sK0(iPr_def_20,p(s(m(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181173]) ).

tcf(c_234680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X2,u(X1,X3))
      | ( sK0(iPr_def_20,p(s(sK0(X2,u(X1,X3))))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_181131]) ).

tcf(c_234681,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_183052]) ).

tcf(c_234682,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192290]) ).

tcf(c_234683,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187918]) ).

tcf(c_234684,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_183104]) ).

tcf(c_234685,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X0)
      | mem(m(iPr_def_12,X1),iPr_def_18)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181668]) ).

tcf(c_234686,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_183261]) ).

tcf(c_234687,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192021]) ).

tcf(c_234688,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187457]) ).

tcf(c_234689,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_182676]) ).

tcf(c_234690,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X0)
      | mem(m(iPr_def_12,X1),iPr_def_18)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181204]) ).

tcf(c_234691,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_183514]) ).

tcf(c_234692,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(e,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_191494]) ).

tcf(c_234693,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_191493]) ).

tcf(c_234694,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_186953]) ).

tcf(c_234695,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_183083]) ).

tcf(c_234696,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X0)
      | mem(m(iPr_def_12,X1),iPr_def_15)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181643]) ).

tcf(c_234697,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_183588]) ).

tcf(c_234698,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_190419]) ).

tcf(c_234699,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | mem(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_182630]) ).

tcf(c_234700,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | mem(m(iPr_def_12,X1),iPr_def_13)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181635]) ).

tcf(c_234701,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X0)
      | mem(m(iPr_def_12,X1),iPr_def_15)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181196]) ).

tcf(c_234702,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = e )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,e)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_182563]) ).

tcf(c_234703,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X0)
      | mem(m(iPr_def_12,X1),iPr_def_13)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_182887]) ).

tcf(c_234704,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_12,m(iPr_def_12,X1))
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_188252]) ).

tcf(c_234705,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_16,m(iPr_def_12,X1))
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_188204]) ).

tcf(c_234706,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_19,m(iPr_def_12,X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_188142]) ).

tcf(c_234707,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_188093]) ).

tcf(c_234708,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_188056]) ).

tcf(c_234709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | subq(iPr_def_19,X2)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X2)))) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_183830]) ).

tcf(c_234710,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X1)
      | ( sK0(iPr_def_19,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X1)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_183838]) ).

tcf(c_234711,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_183565]) ).

tcf(c_234712,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_182603]) ).

tcf(c_234713,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | subq(m(iPr_def_12,X1),iPr_def_12)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181054]) ).

tcf(c_234714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X2,p(X1))
      | ( sK0(iPr_def_20,p(s(sK0(X2,p(X1))))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_181012]) ).

tcf(c_234715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(X0),X2)
      | ( sK0(p(X0),X2) = X0 )
      | ( sK0(iPr_def_20,p(s(sK0(p(X0),X2)))) = iPr_def_19 )
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_181359]) ).

tcf(c_234716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(X0),X1)
      | subq(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(p(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181000]) ).

tcf(c_234717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(s(X2))
      | mem(X2,X1)
      | ( sK0(iPr_def_20,p(s(p(X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_210957]) ).

tcf(c_234718,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_210422]) ).

tcf(c_234719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,p(s(p(X3)))) = iPr_def_19 )
      | ~ subq(X2,X3)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_181287]) ).

tcf(c_234720,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202833]) ).

tcf(c_234721,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202520]) ).

tcf(c_234722,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202433]) ).

tcf(c_234723,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202296]) ).

tcf(c_234724,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202182]) ).

tcf(c_234725,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(p(X0))
      | subq(m(iPr_def_12,X1),iPr_def_19)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_185359]) ).

tcf(c_234726,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_183563]) ).

tcf(c_234727,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_186707]) ).

tcf(c_234728,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_206280,c_182106]) ).

tcf(c_234729,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_206280,c_182097]) ).

tcf(c_234730,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_181859]) ).

tcf(c_234731,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_181830]) ).

tcf(c_234732,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_10)
      | mem(e,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_181808]) ).

tcf(c_234733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(X0),X2)
      | ( sK0(p(X0),X2) = X0 )
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ subq(X0,sK0(m(iPr_def_12,X1),X2)) ),
    inference(superposition,[status(thm)],[c_206280,c_181359]) ).

tcf(c_234734,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(X1)
      | subq(X1,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_64]) ).

tcf(c_234735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(X0),X2)
      | subq(sK0(m(iPr_def_12,X1),X2),X0)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181000]) ).

tcf(c_234736,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(p(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_10,m(X0,m(iPr_def_12,X1))) = e ) ),
    inference(superposition,[status(thm)],[c_206280,c_217006]) ).

tcf(c_234737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,p(X2))
      | ( sK0(iPr_def_20,p(s(p(X2)))) = iPr_def_19 )
      | ~ subq(sK0(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_181012]) ).

tcf(c_234738,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | ( sK0(iPr_def_20,p(s(p(X2)))) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_63]) ).

tcf(c_234739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_62]) ).

tcf(c_234740,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X2)
      | mem(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_59]) ).

tcf(c_234741,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,p(s(m(X3,X2)))) = iPr_def_19 )
      | ~ mem(X0,X2)
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_61]) ).

tcf(c_234742,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X2)
      | ( sK0(iPr_def_20,p(s(m(X2,X3)))) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_60]) ).

tcf(c_234743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,p(s(u(X2,X1)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_57]) ).

tcf(c_234744,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(X2,X3))
      | ( sK0(iPr_def_20,p(s(u(X2,X3)))) = iPr_def_19 )
      | ~ mem(sK0(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_181131]) ).

tcf(c_234745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X3)
      | mem(X0,X2)
      | ( sK0(iPr_def_20,p(s(u(X2,X3)))) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_58]) ).

tcf(c_234746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,p(s(u(X1,X2)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_206280,c_56]) ).

tcf(c_234747,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_206280]) ).

tcf(c_234748,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(s(X2),X1) = s(X2) )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),m(m(iPr_def_12,X0),X1)) = X2 ) ),
    inference(superposition,[status(thm)],[c_206280,c_205217]) ).

tcf(c_234749,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217762]) ).

tcf(c_234750,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_217186]) ).

tcf(c_234751,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_206280,c_215990]) ).

tcf(c_234752,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(iPr_def_16,p(m(iPr_def_12,X0))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213542]) ).

tcf(c_234755,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X1) = X2 )
      | ( sK0(s(X1),X2) = X1 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),p(s(X1))) = X2 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201224]) ).

tcf(c_234756,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = e )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),p(e)) = X1 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201158]) ).

tcf(c_234757,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_20) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198916]) ).

tcf(c_234758,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_17) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198913]) ).

tcf(c_234759,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_16) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198910]) ).

tcf(c_234760,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_14) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198907]) ).

tcf(c_234761,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_12) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198902]) ).

tcf(c_234762,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(m(iPr_def_12,X1),iPr_def_10) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198900]) ).

tcf(c_234763,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),s(X1)) = X2 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198893]) ).

tcf(c_234764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(m(iPr_def_12,X0),X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194628]) ).

tcf(c_234765,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(m(iPr_def_12,X0),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194424]) ).

tcf(c_234766,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(m(iPr_def_12,X0),X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_206280,c_194162]) ).

tcf(c_234767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(m(iPr_def_12,X0),X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193767]) ).

tcf(c_234768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X1 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_205281]) ).

tcf(c_234769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(m(iPr_def_12,X0),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_206280,c_193585]) ).

tcf(c_234770,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = e )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_10,m(m(iPr_def_12,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_206280,c_193094]) ).

tcf(c_234771,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202829]) ).

tcf(c_234772,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_10) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_204644]) ).

tcf(c_234773,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202516]) ).

tcf(c_234774,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202429]) ).

tcf(c_234775,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202292]) ).

tcf(c_234776,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_202178]) ).

tcf(c_234777,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_192249]) ).

tcf(c_234778,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_16) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_202596]) ).

tcf(c_234779,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_12) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_200599]) ).

tcf(c_234780,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(m(iPr_def_12,X1),e) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198892]) ).

tcf(c_234782,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X1)) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_189951]) ).

tcf(c_234783,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187678]) ).

tcf(c_234784,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187544]) ).

tcf(c_234785,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187217]) ).

tcf(c_234786,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_187125]) ).

tcf(c_234787,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,m(iPr_def_12,X1)) = e )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_185753]) ).

tcf(c_234788,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_14) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184340]) ).

tcf(c_234789,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_186435]) ).

tcf(c_234790,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_17) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184332]) ).

tcf(c_234791,plain,
    ! [X0: $i,X1: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X1),iPr_def_20) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184328]) ).

tcf(c_234794,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_181284]) ).

tcf(c_234795,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X1),iPr_def_21) = X1 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_181677]) ).

tcf(c_234796,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),X1)
      | ( sK0(s(X0),X1) = X0 )
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_181019]) ).

tcf(c_234797,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_54]) ).

tcf(c_234798,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X2) = X0 )
      | ( sK0(s(X2),X0) = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(s(X0),p(m(iPr_def_12,X1))) = X0 ) ),
    inference(superposition,[status(thm)],[c_206280,c_201224]) ).

tcf(c_234799,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_206280,c_198893]) ).

tcf(c_234800,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(s(X2))
      | mem(X2,p(X0))
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_182858]) ).

tcf(c_234801,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = s(X2) )
      | ( sK0(s(X2),s(X0)) = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(s(X0),m(iPr_def_12,X1)) = X0 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184024]) ).

tcf(c_234802,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X1) = s(X2) )
      | ( sK0(s(X1),s(X2)) = X1 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),s(X1)) = X2 ) ),
    inference(superposition,[status(thm)],[c_206280,c_184024]) ).

tcf(c_234803,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X2) = X0 )
      | ( sK0(s(X2),X0) = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_181560]) ).

tcf(c_234804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_206280,c_55]) ).

tcf(c_234805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X2,X1)
      | ( sK0(iPr_def_20,p(s(sK0(X2,X1)))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_49]) ).

tcf(c_234806,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X1)
      | mem(m(iPr_def_12,X2),X0)
      | ( sK0(iPr_def_20,p(s(sK0(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_50]) ).

tcf(c_234807,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( m(iPr_def_12,X1) = X0 )
      | ~ mem(iPr_def_19,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_206280,c_49]) ).

tcf(c_234810,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X2)))
      | ( m(iPr_def_12,X1) = X2 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_181283]) ).

tcf(c_234812,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(s(X1)))
      | ( m(iPr_def_12,X0) = X1 ) ),
    inference(superposition,[status(thm)],[c_206280,c_188300]) ).

tcf(c_234814,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X2)))
      | ( m(iPr_def_12,X1) = X2 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_206280,c_183272]) ).

tcf(c_234973,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_234000,c_233999]) ).

tcf(c_235201,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(iPr_def_21))) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_234157,c_201212]) ).

tcf(c_235204,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(iPr_def_15))) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_234145,c_208829]) ).

tcf(c_235207,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(iPr_def_18))) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_234144,c_209621]) ).

tcf(c_235215,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_234003,c_181722]) ).

tcf(c_235225,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_234009,c_234001]) ).

tcf(c_235249,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,p(s(sK0(X0,iPr_def_19)))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_234658,c_205070]) ).

tcf(c_235658,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_234036,c_234031]) ).

tcf(c_236110,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_234444,c_205070]) ).

tcf(c_236127,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_234392,c_205070]) ).

tcf(c_236690,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_234365,c_205070]) ).

tcf(c_236972,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_234336,c_205070]) ).

tcf(c_239186,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(iPr_def_12,X0)),p(X1)) = u(iPr_def_12,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233740]) ).

tcf(c_239187,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_12,X1))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233740]) ).

tcf(c_239189,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(iPr_def_12,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_12,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_233740]) ).

tcf(c_239190,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_12,X0))
      | ( sK0(s(u(iPr_def_12,X0)),p(iPr_def_21)) = u(iPr_def_12,X0) )
      | ~ atleast3p(u(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_233740]) ).

tcf(c_239191,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_12,X0))
      | ( sK0(iPr_def_17,u(iPr_def_12,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_233740]) ).

tcf(c_239193,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(iPr_def_12,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233740]) ).

tcf(c_239194,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_12,X0))
      | mem(iPr_def_10,m(u(iPr_def_12,X0),X1))
      | ~ atleast2p(m(u(iPr_def_12,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233740]) ).

tcf(c_239196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_12,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233740]) ).

tcf(c_239228,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(iPr_def_14,X0)),p(X1)) = u(iPr_def_14,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233746]) ).

tcf(c_239229,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_14,X1))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(iPr_def_14,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233746]) ).

tcf(c_239231,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(iPr_def_14,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_14,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_233746]) ).

tcf(c_239232,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(iPr_def_14,X0))
      | ( sK0(s(u(iPr_def_14,X0)),p(iPr_def_21)) = u(iPr_def_14,X0) )
      | ~ atleast3p(u(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_233746]) ).

tcf(c_239233,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(iPr_def_14,X0))
      | ( sK0(iPr_def_17,u(iPr_def_14,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_233746]) ).

tcf(c_239234,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(iPr_def_14,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_14,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_233746]) ).

tcf(c_239235,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(iPr_def_14,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233746]) ).

tcf(c_239236,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_14,X0))
      | mem(iPr_def_13,m(u(iPr_def_14,X0),X1))
      | ~ atleast2p(m(u(iPr_def_14,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233746]) ).

tcf(c_239238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_14,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233746]) ).

tcf(c_239291,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(iPr_def_16,X0)),p(X1)) = u(iPr_def_16,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233752]) ).

tcf(c_239292,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_16,X1))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233752]) ).

tcf(c_239297,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_16,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_233752]) ).

tcf(c_239298,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(iPr_def_16,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233752]) ).

tcf(c_239299,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_16,X0))
      | mem(iPr_def_12,m(u(iPr_def_16,X0),X1))
      | ~ atleast2p(m(u(iPr_def_16,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233752]) ).

tcf(c_239301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_16,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233752]) ).

tcf(c_239323,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(iPr_def_17,X0)),p(X1)) = u(iPr_def_17,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233913]) ).

tcf(c_239324,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_17,X1))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,u(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_233913]) ).

tcf(c_239326,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(iPr_def_17,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_17,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_233913]) ).

tcf(c_239327,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_17,X0))
      | ( sK0(s(u(iPr_def_17,X0)),p(iPr_def_21)) = u(iPr_def_17,X0) )
      | ~ atleast3p(u(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_233913]) ).

tcf(c_239328,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_17,X0))
      | ( sK0(iPr_def_17,u(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_233913]) ).

tcf(c_239329,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(iPr_def_17,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_17,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_233913]) ).

tcf(c_239330,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(u(iPr_def_17,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_233913]) ).

tcf(c_239331,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_17,X0))
      | mem(iPr_def_16,m(u(iPr_def_17,X0),X1))
      | ~ atleast2p(m(u(iPr_def_17,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_233913]) ).

tcf(c_239333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_17,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_233913]) ).

tcf(c_239378,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231175]) ).

tcf(c_239380,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(u(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_231175,c_51]) ).

tcf(c_239382,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(iPr_def_18,X1))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_231175,c_187546]) ).

tcf(c_239387,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231176]) ).

tcf(c_239389,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_231176,c_51]) ).

tcf(c_239391,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(iPr_def_18,X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_231176,c_187219]) ).

tcf(c_239392,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_18,X0))
      | subq(u(iPr_def_18,X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231176,c_181263]) ).

tcf(c_239399,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231179]) ).

tcf(c_239401,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_231179,c_51]) ).

tcf(c_239403,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(iPr_def_15,X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231179,c_189953]) ).

tcf(c_239409,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231183]) ).

tcf(c_239411,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_231183,c_51]) ).

tcf(c_239413,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(iPr_def_15,X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_231183,c_187127]) ).

tcf(c_239456,plain,
    ! [X0: $i] :
      ( ~ atleast3p(m(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_234389,c_109385]) ).

tcf(c_239457,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(renaming,[status(thm)],[c_239456]) ).

tcf(c_239462,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_239457]) ).

tcf(c_239474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,X2)
      | ( sK0(iPr_def_20,p(s(X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_234046]) ).

tcf(c_239487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(X2),iPr_def_21) = X2 )
      | ( sK0(iPr_def_20,p(s(s(X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_234795]) ).

tcf(c_239488,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X1),iPr_def_21) = X1 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(s(X1)))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_234795]) ).

tcf(c_239497,plain,
    ! [X0: $i] :
      ( ~ atleast3p(m(iPr_def_12,X0))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_234557,c_109398]) ).

tcf(c_239498,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(renaming,[status(thm)],[c_239497]) ).

tcf(c_239505,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_239498]) ).

tcf(c_239513,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ~ atleast3p(sK0(p(iPr_def_21),X0))
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_234353,c_109371]) ).

tcf(c_239514,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(renaming,[status(thm)],[c_239513]) ).

tcf(c_239521,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_239514]) ).

tcf(c_239530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_21,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_239462]) ).

tcf(c_239531,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_206280,c_239462]) ).

tcf(c_239547,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_18 )
      | ( sK0(s(iPr_def_13),p(iPr_def_18)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_222179]) ).

tcf(c_239548,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_18 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_18),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_222179]) ).

tcf(c_239560,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(iPr_def_18,X0)),p(X1)) = u(iPr_def_18,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239380]) ).

tcf(c_239561,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_18,X1))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,u(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239380]) ).

tcf(c_239563,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(iPr_def_18,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_18,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239380]) ).

tcf(c_239564,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_18,X0))
      | ( sK0(s(u(iPr_def_18,X0)),p(iPr_def_21)) = u(iPr_def_18,X0) )
      | ~ atleast3p(u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239380]) ).

tcf(c_239565,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_18,X0))
      | ( sK0(iPr_def_17,u(iPr_def_18,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239380]) ).

tcf(c_239566,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(iPr_def_18,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_18,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_239380]) ).

tcf(c_239567,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(u(iPr_def_18,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239380]) ).

tcf(c_239568,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | mem(iPr_def_16,m(u(iPr_def_18,X0),X1))
      | ~ atleast2p(m(u(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239380]) ).

tcf(c_239570,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_239380]) ).

tcf(c_239571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239380]) ).

tcf(c_239610,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(iPr_def_18,X0)),p(X1)) = u(iPr_def_18,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239389]) ).

tcf(c_239611,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_18,X1))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239389]) ).

tcf(c_239616,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(iPr_def_18,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_18,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_239389]) ).

tcf(c_239617,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(iPr_def_18,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239389]) ).

tcf(c_239618,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | mem(iPr_def_12,m(u(iPr_def_18,X0),X1))
      | ~ atleast2p(m(u(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239389]) ).

tcf(c_239621,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239389]) ).

tcf(c_239643,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(iPr_def_15,X0)),p(X1)) = u(iPr_def_15,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239401]) ).

tcf(c_239644,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_15,X1))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239401]) ).

tcf(c_239646,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_15,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239401]) ).

tcf(c_239647,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(s(u(iPr_def_15,X0)),p(iPr_def_21)) = u(iPr_def_15,X0) )
      | ~ atleast3p(u(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239401]) ).

tcf(c_239648,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_17,u(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239401]) ).

tcf(c_239650,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(iPr_def_15,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239401]) ).

tcf(c_239651,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | mem(iPr_def_10,m(u(iPr_def_15,X0),X1))
      | ~ atleast2p(m(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239401]) ).

tcf(c_239654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239401]) ).

tcf(c_239686,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(iPr_def_15,X0)),p(X1)) = u(iPr_def_15,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239411]) ).

tcf(c_239687,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_15,X1))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239411]) ).

tcf(c_239689,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_15,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239411]) ).

tcf(c_239690,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(s(u(iPr_def_15,X0)),p(iPr_def_21)) = u(iPr_def_15,X0) )
      | ~ atleast3p(u(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239411]) ).

tcf(c_239691,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_17,u(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239411]) ).

tcf(c_239692,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_15,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_239411]) ).

tcf(c_239693,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(iPr_def_15,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239411]) ).

tcf(c_239694,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | mem(iPr_def_13,m(u(iPr_def_15,X0),X1))
      | ~ atleast2p(m(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239411]) ).

tcf(c_239696,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_239411]) ).

tcf(c_239697,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239411]) ).

tcf(c_239732,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231186]) ).

tcf(c_239733,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(u(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_231186,c_51]) ).

tcf(c_239735,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(iPr_def_20,X1))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231186,c_187680]) ).

tcf(c_239740,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231194]) ).

tcf(c_239741,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_231194,c_51]) ).

tcf(c_239743,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(iPr_def_21,X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231194,c_189953]) ).

tcf(c_239749,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231195]) ).

tcf(c_239750,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(u(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_231195,c_51]) ).

tcf(c_239752,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(iPr_def_21,X1))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_231195,c_187546]) ).

tcf(c_239757,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231196]) ).

tcf(c_239758,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(u(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_231196,c_51]) ).

tcf(c_239760,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(iPr_def_21,X1))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231196,c_187680]) ).

tcf(c_239773,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(s(iPr_def_13),p(iPr_def_14)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_222208]) ).

tcf(c_239774,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_14),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_222208]) ).

tcf(c_239800,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_15 )
      | ( sK0(s(iPr_def_13),p(iPr_def_15)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_198897,c_222245]) ).

tcf(c_239801,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_15 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X1)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_15),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_222245]) ).

tcf(c_239815,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_17,m(X1,iPr_def_13)) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_222393]) ).

tcf(c_239826,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(X1,iPr_def_13)) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_223187]) ).

tcf(c_239837,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(X1,iPr_def_13)) = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_223212]) ).

tcf(c_239848,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(X1,iPr_def_13)) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_195468,c_223233]) ).

tcf(c_239861,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(iPr_def_20,X0)),p(X1)) = u(iPr_def_20,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239733]) ).

tcf(c_239862,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_20,X1))
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,u(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239733]) ).

tcf(c_239864,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239733]) ).

tcf(c_239865,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(iPr_def_20,X0))
      | ( sK0(s(u(iPr_def_20,X0)),p(iPr_def_21)) = u(iPr_def_20,X0) )
      | ~ atleast3p(u(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239733]) ).

tcf(c_239866,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_17,u(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239733]) ).

tcf(c_239867,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_20,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_239733]) ).

tcf(c_239868,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(u(iPr_def_20,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239733]) ).

tcf(c_239869,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_20,X0))
      | mem(iPr_def_19,m(u(iPr_def_20,X0),X1))
      | ~ atleast2p(m(u(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239733]) ).

tcf(c_239871,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_20,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239733]) ).

tcf(c_239960,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(iPr_def_21,X0)),p(X1)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239741]) ).

tcf(c_239961,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_21,X1))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239741]) ).

tcf(c_239963,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_21,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239741]) ).

tcf(c_239964,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) )
      | ~ atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239741]) ).

tcf(c_239965,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_17,u(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239741]) ).

tcf(c_239967,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(iPr_def_21,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239741]) ).

tcf(c_239968,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | mem(iPr_def_10,m(u(iPr_def_21,X0),X1))
      | ~ atleast2p(m(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239741]) ).

tcf(c_239971,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239741]) ).

tcf(c_240052,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(iPr_def_21,X0)),p(X1)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239750]) ).

tcf(c_240053,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_21,X1))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,u(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239750]) ).

tcf(c_240055,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_21,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239750]) ).

tcf(c_240056,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) )
      | ~ atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239750]) ).

tcf(c_240057,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_17,u(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239750]) ).

tcf(c_240058,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_21,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_239750]) ).

tcf(c_240059,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(u(iPr_def_21,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239750]) ).

tcf(c_240060,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | mem(iPr_def_16,m(u(iPr_def_21,X0),X1))
      | ~ atleast2p(m(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239750]) ).

tcf(c_240062,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232859,c_239750]) ).

tcf(c_240063,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239750]) ).

tcf(c_240127,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(iPr_def_21,X0)),p(X1)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_239758]) ).

tcf(c_240128,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_21,X1))
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,u(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_239758]) ).

tcf(c_240130,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_21,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_239758]) ).

tcf(c_240131,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) )
      | ~ atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_239758]) ).

tcf(c_240132,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_17,u(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_239758]) ).

tcf(c_240133,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_21,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_239758]) ).

tcf(c_240134,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(u(iPr_def_21,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_239758]) ).

tcf(c_240135,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | mem(iPr_def_19,m(u(iPr_def_21,X0),X1))
      | ~ atleast2p(m(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_239758]) ).

tcf(c_240137,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232859,c_239758]) ).

tcf(c_240138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_239758]) ).

tcf(c_240187,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231197]) ).

tcf(c_240188,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_231197,c_51]) ).

tcf(c_240190,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(iPr_def_21,X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_231197,c_187219]) ).

tcf(c_240191,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_21,X0))
      | subq(u(iPr_def_21,X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231197,c_181263]) ).

tcf(c_240214,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231198]) ).

tcf(c_240215,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(iPr_def_21,X0),X1) ),
    inference(superposition,[status(thm)],[c_231198,c_51]) ).

tcf(c_240217,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(iPr_def_21,X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_231198,c_187127]) ).

tcf(c_240281,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231205]) ).

tcf(c_240282,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(iPr_def_13,X0),X1) ),
    inference(superposition,[status(thm)],[c_231205,c_51]) ).

tcf(c_240284,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(iPr_def_13,X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231205,c_189953]) ).

tcf(c_240290,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231206]) ).

tcf(c_240291,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(iPr_def_13,X0),X1) ),
    inference(superposition,[status(thm)],[c_231206,c_51]) ).

tcf(c_240293,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(iPr_def_13,X1))) = e,
    inference(superposition,[status(thm)],[c_231206,c_185755]) ).

tcf(c_240310,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(iPr_def_21,X0)),p(X1)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_240188]) ).

tcf(c_240311,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_21,X1))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_240188]) ).

tcf(c_240316,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_21,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_240188]) ).

tcf(c_240317,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(iPr_def_21,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_240188]) ).

tcf(c_240318,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | mem(iPr_def_12,m(u(iPr_def_21,X0),X1))
      | ~ atleast2p(m(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_240188]) ).

tcf(c_240320,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232859,c_240188]) ).

tcf(c_240321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_240188]) ).

tcf(c_240344,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(iPr_def_21,X0)),p(X1)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_240215]) ).

tcf(c_240345,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_21,X1))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(iPr_def_21,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_240215]) ).

tcf(c_240347,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_21,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_240215]) ).

tcf(c_240348,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) )
      | ~ atleast3p(u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_240215]) ).

tcf(c_240349,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_17,u(iPr_def_21,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_240215]) ).

tcf(c_240350,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(iPr_def_21,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_21,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_240215]) ).

tcf(c_240351,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(iPr_def_21,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_240215]) ).

tcf(c_240352,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | mem(iPr_def_13,m(u(iPr_def_21,X0),X1))
      | ~ atleast2p(m(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_240215]) ).

tcf(c_240355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_240215]) ).

tcf(c_240436,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(iPr_def_13,X0)),p(X1)) = u(iPr_def_13,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_240282]) ).

tcf(c_240437,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_13,X1))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(iPr_def_13,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_240282]) ).

tcf(c_240439,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(iPr_def_13,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_13,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_240282]) ).

tcf(c_240440,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_13,X0))
      | ( sK0(s(u(iPr_def_13,X0)),p(iPr_def_21)) = u(iPr_def_13,X0) )
      | ~ atleast3p(u(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_240282]) ).

tcf(c_240441,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_13,X0))
      | ( sK0(iPr_def_17,u(iPr_def_13,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_240282]) ).

tcf(c_240443,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(iPr_def_13,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_240282]) ).

tcf(c_240444,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | mem(iPr_def_10,m(u(iPr_def_13,X0),X1))
      | ~ atleast2p(m(u(iPr_def_13,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_240282]) ).

tcf(c_240446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_240282]) ).

tcf(c_240477,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(iPr_def_13,X0)),p(X1)) = u(iPr_def_13,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_240291]) ).

tcf(c_240478,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_13,X1))
      | mem(e,p(X0))
      | ~ mem(X0,u(iPr_def_13,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_240291]) ).

tcf(c_240484,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(iPr_def_13,X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_240291]) ).

tcf(c_240485,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | mem(e,m(u(iPr_def_13,X0),X1))
      | ~ atleast2p(m(u(iPr_def_13,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_240291]) ).

tcf(c_240487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_240291]) ).

tcf(c_240500,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231665]) ).

tcf(c_240507,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_21 )
      | ~ subq(iPr_def_21,m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_231665,c_52]) ).

tcf(c_240508,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_231665,c_180963]) ).

tcf(c_240521,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),iPr_def_18)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231927]) ).

tcf(c_240522,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_202827]) ).

tcf(c_240524,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_202427]) ).

tcf(c_240526,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_202176]) ).

tcf(c_240527,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | subq(iPr_def_18,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_65]) ).

tcf(c_240528,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ~ subq(iPr_def_18,m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_52]) ).

tcf(c_240529,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_210202]) ).

tcf(c_240532,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240527,c_182872]) ).

tcf(c_240567,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231985]) ).

tcf(c_240569,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_202514]) ).

tcf(c_240570,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_202427]) ).

tcf(c_240571,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_202290]) ).

tcf(c_240573,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_15,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_65]) ).

tcf(c_240574,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ~ subq(iPr_def_15,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_52]) ).

tcf(c_240576,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_206660]) ).

tcf(c_240577,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_206641]) ).

tcf(c_240578,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_206622]) ).

tcf(c_240580,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_231985,c_202127]) ).

tcf(c_240664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(u(s(X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231142]) ).

tcf(c_240665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,u(m(iPr_def_12,X1),X2))
      | ( sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231142]) ).

tcf(c_240675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ~ subq(u(s(X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_231142,c_51]) ).

tcf(c_240677,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(s(iPr_def_12),X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_231142,c_187219]) ).

tcf(c_240678,plain,
    ! [X0: $i] :
      ( atleast2p(u(s(iPr_def_12),X0))
      | subq(u(s(iPr_def_12),X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231142,c_181263]) ).

tcf(c_240679,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(s(e),X1))) = e,
    inference(superposition,[status(thm)],[c_231142,c_185755]) ).

tcf(c_240680,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(s(iPr_def_13),X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_231142,c_187127]) ).

tcf(c_240681,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(s(iPr_def_16),X1))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_231142,c_187546]) ).

tcf(c_240682,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(s(iPr_def_19),X1))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231142,c_187680]) ).

tcf(c_240683,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(s(iPr_def_10),X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231142,c_189953]) ).

tcf(c_240713,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240508]) ).

tcf(c_240714,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_202827]) ).

tcf(c_240715,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_202514]) ).

tcf(c_240716,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_202427]) ).

tcf(c_240717,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_202290]) ).

tcf(c_240718,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_202176]) ).

tcf(c_240720,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_240508,c_52]) ).

tcf(c_240721,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_215595]) ).

tcf(c_240722,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_214259]) ).

tcf(c_240723,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_213166]) ).

tcf(c_240724,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_209799]) ).

tcf(c_240725,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_184804]) ).

tcf(c_240726,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_184712]) ).

tcf(c_240727,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_184534]) ).

tcf(c_240728,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_183356]) ).

tcf(c_240729,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_181843]) ).

tcf(c_240730,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_181840]) ).

tcf(c_240731,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_181422]) ).

tcf(c_240732,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240508,c_181661]) ).

tcf(c_240757,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240720,c_231665]) ).

tcf(c_240763,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240718,c_183066]) ).

tcf(c_240767,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240717,c_183066]) ).

tcf(c_240771,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240716,c_183066]) ).

tcf(c_240775,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240715,c_183066]) ).

tcf(c_240779,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_240714,c_183066]) ).

tcf(c_241053,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240532]) ).

tcf(c_241060,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_240532,c_52]) ).

tcf(c_241061,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_188431]) ).

tcf(c_241062,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_212580]) ).

tcf(c_241063,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_209404]) ).

tcf(c_241064,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_186614]) ).

tcf(c_241065,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_186601]) ).

tcf(c_241066,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_188416]) ).

tcf(c_241067,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_240532,c_181835]) ).

tcf(c_241088,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_241060,c_231927]) ).

tcf(c_241178,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240721]) ).

tcf(c_241185,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_17 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_240721,c_52]) ).

tcf(c_241187,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240721,c_193464]) ).

tcf(c_241188,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240721,c_193438]) ).

tcf(c_241189,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240721,c_189330]) ).

tcf(c_241190,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240721,c_183155]) ).

tcf(c_241217,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240722]) ).

tcf(c_241224,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_240722,c_52]) ).

tcf(c_241225,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240722,c_189313]) ).

tcf(c_241226,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240722,c_183780]) ).

tcf(c_241245,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240723]) ).

tcf(c_241252,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_20 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_240723,c_52]) ).

tcf(c_241266,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240724]) ).

tcf(c_241277,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240724,c_186614]) ).

tcf(c_241278,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240724,c_186601]) ).

tcf(c_241282,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240724,c_205213]) ).

tcf(c_241328,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240725]) ).

tcf(c_241335,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_240725,c_52]) ).

tcf(c_241336,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240725,c_184434]) ).

tcf(c_241337,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240725,c_186343]) ).

tcf(c_241338,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240725,c_186324]) ).

tcf(c_241339,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240725,c_186305]) ).

tcf(c_241380,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240726]) ).

tcf(c_241387,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_240726,c_52]) ).

tcf(c_241388,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_184414]) ).

tcf(c_241389,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_195726]) ).

tcf(c_241390,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_186629]) ).

tcf(c_241391,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_186418]) ).

tcf(c_241392,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_18,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_186373]) ).

tcf(c_241393,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_187372]) ).

tcf(c_241394,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240726,c_186666]) ).

tcf(c_241524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ( sK0(s(u(s(X0),X1)),p(X2)) = u(s(X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_240675]) ).

tcf(c_241525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X1,p(X0))
      | atleast2p(u(s(X1),X2))
      | ~ mem(X0,u(s(X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_240675]) ).

tcf(c_241527,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_19)
      | atleast3p(u(s(X0),X1))
      | ( sK0(iPr_def_20,p(u(s(X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_240675]) ).

tcf(c_241528,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_19)
      | atleast2p(u(s(X0),X1))
      | ( sK0(s(u(s(X0),X1)),p(iPr_def_21)) = u(s(X0),X1) )
      | ~ atleast3p(u(s(X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_240675]) ).

tcf(c_241529,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_19)
      | atleast2p(u(s(X0),X1))
      | ( sK0(iPr_def_17,u(s(X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_240675]) ).

tcf(c_241530,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_13)
      | atleast3p(u(s(X0),X1))
      | ( sK0(iPr_def_14,p(u(s(X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_240675]) ).

tcf(c_241531,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(X0,u(u(s(X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_240675]) ).

tcf(c_241532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(s(X0),X1))
      | mem(X0,m(u(s(X0),X1),X2))
      | ~ atleast2p(m(u(s(X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_240675]) ).

tcf(c_241534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,p(s(u(s(X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_240675]) ).

tcf(c_241535,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X3,X2)
      | ( sK0(iPr_def_20,p(s(s(X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_240675]) ).

tcf(c_241629,plain,
    ( mem(iPr_def_13,iPr_def_19)
    | ( iPr_def_12 = iPr_def_15 )
    | ( sK0(s(s(iPr_def_15)),p(iPr_def_21)) = s(iPr_def_15) )
    | ~ atleast3p(s(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231908,c_202827]) ).

tcf(c_241631,plain,
    ( mem(iPr_def_19,iPr_def_19)
    | ( iPr_def_12 = iPr_def_15 )
    | ( sK0(s(s(iPr_def_15)),p(iPr_def_21)) = s(iPr_def_15) )
    | ~ atleast3p(s(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231908,c_202427]) ).

tcf(c_241632,plain,
    ( mem(iPr_def_16,iPr_def_19)
    | ( iPr_def_12 = iPr_def_15 )
    | ( sK0(s(s(iPr_def_15)),p(iPr_def_21)) = s(iPr_def_15) )
    | ~ atleast3p(s(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231908,c_202290]) ).

tcf(c_241633,plain,
    ( mem(iPr_def_10,iPr_def_19)
    | ( iPr_def_12 = iPr_def_15 )
    | ( sK0(s(s(iPr_def_15)),p(iPr_def_21)) = s(iPr_def_15) )
    | ~ atleast3p(s(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231908,c_202176]) ).

tcf(c_241634,plain,
    ( atleast3p(iPr_def_19)
    | subq(iPr_def_19,s(iPr_def_15))
    | ( iPr_def_12 = iPr_def_15 )
    | ~ atleast2p(s(iPr_def_15))
    | ~ mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231908,c_65]) ).

tcf(c_241635,plain,
    ( ( iPr_def_12 = iPr_def_15 )
    | ( s(iPr_def_15) = iPr_def_19 )
    | ~ mem(iPr_def_15,iPr_def_19)
    | ~ subq(iPr_def_19,s(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_231908,c_52]) ).

tcf(c_241672,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(m(iPr_def_12,X1),iPr_def_14)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_232236]) ).

tcf(c_241673,plain,
    ( subq(iPr_def_21,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_180980,c_232236]) ).

tcf(c_241680,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | ( u(iPr_def_15,X0) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14)
      | ~ subq(iPr_def_14,u(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_232236,c_52]) ).

tcf(c_241683,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_239401]) ).

tcf(c_241687,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_241673,c_180980]) ).

tcf(c_241688,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | ( u(iPr_def_15,X0) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_241680,c_230866]) ).

tcf(c_241700,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_14 )
      | ( sK0(s(u(iPr_def_15,X0)),p(iPr_def_14)) = u(iPr_def_15,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232237]) ).

tcf(c_241702,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_15,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_232237]) ).

tcf(c_241703,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_14 )
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_180980,c_232237]) ).

tcf(c_241711,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_10),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231207]) ).

tcf(c_241712,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(p(iPr_def_10),X0),X1) ),
    inference(superposition,[status(thm)],[c_231207,c_51]) ).

tcf(c_241714,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(p(iPr_def_10),X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231207,c_189953]) ).

tcf(c_241722,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_19),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231226]) ).

tcf(c_241723,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(u(p(iPr_def_19),X0),X1) ),
    inference(superposition,[status(thm)],[c_231226,c_51]) ).

tcf(c_241725,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(p(iPr_def_19),X1))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231226,c_187680]) ).

tcf(c_241733,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_13),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231227]) ).

tcf(c_241734,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(p(iPr_def_13),X0),X1) ),
    inference(superposition,[status(thm)],[c_231227,c_51]) ).

tcf(c_241736,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(p(iPr_def_13),X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_231227,c_189953]) ).

tcf(c_241744,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_13),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231228]) ).

tcf(c_241745,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(p(iPr_def_13),X0),X1) ),
    inference(superposition,[status(thm)],[c_231228,c_51]) ).

tcf(c_241747,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(p(iPr_def_13),X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_231228,c_187219]) ).

tcf(c_241748,plain,
    ! [X0: $i] :
      ( atleast2p(u(p(iPr_def_13),X0))
      | subq(u(p(iPr_def_13),X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_231228,c_181263]) ).

tcf(c_241763,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240727]) ).

tcf(c_241764,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_202827]) ).

tcf(c_241765,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_202514]) ).

tcf(c_241766,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_202427]) ).

tcf(c_241767,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_202290]) ).

tcf(c_241768,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_18,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_202176]) ).

tcf(c_241770,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_15 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_240727,c_52]) ).

tcf(c_241774,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_182657]) ).

tcf(c_241775,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_182420]) ).

tcf(c_241776,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_18,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240727,c_182362]) ).

tcf(c_241817,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240728]) ).

tcf(c_241818,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_240728,c_51]) ).

tcf(c_241819,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240728,c_61]) ).

tcf(c_241820,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240728,c_60]) ).

tcf(c_241821,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_18,X0))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240728,c_189953]) ).

tcf(c_241822,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_12)),
    inference(superposition,[status(thm)],[c_240728,c_221620]) ).

tcf(c_241823,plain,
    ( subq(iPr_def_12,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_240728,c_221064]) ).

tcf(c_241824,plain,
    ( subq(iPr_def_12,m(iPr_def_18,iPr_def_13))
    | ~ atleast3p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_240728,c_221090]) ).

tcf(c_241825,plain,
    ( subq(iPr_def_12,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_240728,c_221423]) ).

tcf(c_241849,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240729]) ).

tcf(c_241850,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_240729,c_51]) ).

tcf(c_241851,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240729,c_61]) ).

tcf(c_241853,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_18,X0))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240729,c_187546]) ).

tcf(c_241854,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_17)),
    inference(superposition,[status(thm)],[c_240729,c_220034]) ).

tcf(c_241855,plain,
    ( subq(iPr_def_17,m(iPr_def_18,iPr_def_18))
    | ~ atleast3p(m(iPr_def_18,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_240729,c_220416]) ).

tcf(c_241856,plain,
    ( subq(iPr_def_17,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_240729,c_220436]) ).

tcf(c_241949,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240730]) ).

tcf(c_241950,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_240730,c_51]) ).

tcf(c_241951,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240730,c_61]) ).

tcf(c_241952,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240730,c_60]) ).

tcf(c_241953,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_18,X0))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240730,c_187680]) ).

tcf(c_241954,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_20)),
    inference(superposition,[status(thm)],[c_240730,c_221228]) ).

tcf(c_241955,plain,
    ( subq(iPr_def_20,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_240730,c_221029]) ).

tcf(c_241974,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240731]) ).

tcf(c_241975,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_240731,c_51]) ).

tcf(c_241976,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240731,c_61]) ).

tcf(c_241978,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_18,X0))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240731,c_187219]) ).

tcf(c_241979,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_18,X0))
      | subq(m(iPr_def_18,X0),iPr_def_19)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240731,c_181263]) ).

tcf(c_241980,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_16)),
    inference(superposition,[status(thm)],[c_240731,c_219646]) ).

tcf(c_241981,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_19)),
    inference(superposition,[status(thm)],[c_240731,c_219696]) ).

tcf(c_241982,plain,
    ( subq(iPr_def_16,m(iPr_def_18,iPr_def_18))
    | ~ atleast3p(m(iPr_def_18,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_240731,c_219579]) ).

tcf(c_241983,plain,
    ( subq(iPr_def_16,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_240731,c_219911]) ).

tcf(c_242005,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_240732]) ).

tcf(c_242006,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(m(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_240732,c_51]) ).

tcf(c_242007,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240732,c_61]) ).

tcf(c_242008,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240732,c_60]) ).

tcf(c_242009,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_18,X0))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_240732,c_187127]) ).

tcf(c_242010,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_14)),
    inference(superposition,[status(thm)],[c_240732,c_218478]) ).

tcf(c_242011,plain,
    ( subq(iPr_def_14,m(iPr_def_18,iPr_def_15))
    | ~ atleast3p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_240732,c_219047]) ).

tcf(c_242012,plain,
    ( subq(iPr_def_14,m(iPr_def_18,iPr_def_21))
    | ~ atleast3p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_240732,c_219069]) ).

tcf(c_242029,plain,
    ! [X0: $i] :
      ( ~ atleast3p(m(iPr_def_18,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_240713,c_109440]) ).

tcf(c_242030,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(renaming,[status(thm)],[c_242029]) ).

tcf(c_242035,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242030]) ).

tcf(c_242039,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_12)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241822]) ).

tcf(c_242062,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241819]) ).

tcf(c_242066,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_17)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241854]) ).

tcf(c_242069,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_20)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241954]) ).

tcf(c_242072,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_16)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241980]) ).

tcf(c_242075,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_19)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241981]) ).

tcf(c_242078,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_14)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242010]) ).

tcf(c_242085,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241851]) ).

tcf(c_242093,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241951]) ).

tcf(c_242101,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241976]) ).

tcf(c_242109,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242007]) ).

tcf(c_242117,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241062]) ).

tcf(c_242123,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_16,X0))
      | subq(m(iPr_def_16,X0),iPr_def_17)
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241062,c_65]) ).

tcf(c_242124,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_17 )
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_241062,c_52]) ).

tcf(c_242125,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241062,c_188459]) ).

tcf(c_242126,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241062,c_193464]) ).

tcf(c_242127,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241062,c_193438]) ).

tcf(c_242128,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241062,c_189330]) ).

tcf(c_242129,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241062,c_183155]) ).

tcf(c_242224,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241063]) ).

tcf(c_242230,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_16,X0))
      | subq(m(iPr_def_16,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241063,c_65]) ).

tcf(c_242235,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_16 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241063,c_205213]) ).

tcf(c_242247,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_241067]) ).

tcf(c_242248,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_241067,c_51]) ).

tcf(c_242249,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241067,c_61]) ).

tcf(c_242250,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241067,c_60]) ).

tcf(c_242251,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_16,X0))) = iPr_def_16 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241067,c_187546]) ).

tcf(c_242252,plain,
    ~ atleast2p(m(iPr_def_16,iPr_def_17)),
    inference(superposition,[status(thm)],[c_241067,c_220034]) ).

tcf(c_242253,plain,
    ( subq(iPr_def_17,m(iPr_def_16,iPr_def_18))
    | ~ atleast2p(m(iPr_def_16,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_241067,c_220416]) ).

tcf(c_242254,plain,
    ( subq(iPr_def_17,m(iPr_def_16,iPr_def_21))
    | ~ atleast2p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_241067,c_220436]) ).

tcf(c_242275,plain,
    sK0(iPr_def_16,p(iPr_def_10)) = iPr_def_12,
    inference(global_subsumption_just,[status(thm)],[c_213549,c_68,c_69,c_74,c_1178,c_2683,c_213549]) ).

tcf(c_242277,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(iPr_def_10))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_242275]) ).

tcf(c_242278,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ~ mem(iPr_def_12,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_242275,c_49]) ).

tcf(c_242280,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ~ subq(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_242275,c_181012]) ).

tcf(c_242282,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_242275,c_187457]) ).

tcf(c_242285,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_10))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_242275,c_181283]) ).

tcf(c_242286,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_10))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_242275,c_183681]) ).

tcf(c_242287,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_10))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_242275,c_182675]) ).

tcf(c_242308,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242250]) ).

tcf(c_242399,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242249]) ).

tcf(c_242407,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_10))
      | ( sK0(s(iPr_def_12),m(p(iPr_def_10),X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_198896,c_242278]) ).

tcf(c_242408,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ( sK0(s(iPr_def_12),p(iPr_def_10)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_182860,c_242278]) ).

tcf(c_242410,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_10))
      | ( sK0(iPr_def_20,p(m(p(iPr_def_10),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217189,c_242278]) ).

tcf(c_242411,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_10))
      | ( sK0(iPr_def_17,p(m(p(iPr_def_10),X0))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_242278]) ).

tcf(c_242412,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ( sK0(iPr_def_20,p(p(iPr_def_10))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192246,c_242278]) ).

tcf(c_242413,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ( sK0(iPr_def_17,p(p(iPr_def_10))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_192098,c_242278]) ).

tcf(c_242414,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ( sK0(s(p(iPr_def_10)),p(iPr_def_21)) = p(iPr_def_10) )
    | ~ atleast3p(p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_201861,c_242278]) ).

tcf(c_242415,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_10))
      | ( sK0(iPr_def_16,m(p(iPr_def_10),X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_242278]) ).

tcf(c_242418,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(iPr_def_10))
      | ( sK0(iPr_def_17,m(p(iPr_def_10),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185472,c_242278]) ).

tcf(c_242419,plain,
    ( subq(iPr_def_16,p(iPr_def_10))
    | ( sK0(iPr_def_17,p(iPr_def_10)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185292,c_242278]) ).

tcf(c_242420,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_16,p(iPr_def_10))
    | ~ mem(iPr_def_10,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_242278]) ).

tcf(c_242453,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(p(iPr_def_10),X0)),p(X1)) = u(p(iPr_def_10),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_241712]) ).

tcf(c_242454,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(p(iPr_def_10),X1))
      | ~ mem(X0,u(p(iPr_def_10),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241712]) ).

tcf(c_242456,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(p(iPr_def_10),X0))
      | ( sK0(iPr_def_20,p(u(p(iPr_def_10),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_241712]) ).

tcf(c_242457,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(p(iPr_def_10),X0))
      | ( sK0(s(u(p(iPr_def_10),X0)),p(iPr_def_21)) = u(p(iPr_def_10),X0) )
      | ~ atleast3p(u(p(iPr_def_10),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_241712]) ).

tcf(c_242458,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(p(iPr_def_10),X0))
      | ( sK0(iPr_def_17,u(p(iPr_def_10),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_241712]) ).

tcf(c_242460,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(p(iPr_def_10),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_241712]) ).

tcf(c_242461,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_10),X0))
      | mem(iPr_def_10,m(u(p(iPr_def_10),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_10),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_241712]) ).

tcf(c_242463,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_10),X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_241712]) ).

tcf(c_242517,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_17)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242252]) ).

tcf(c_242521,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_13),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231229]) ).

tcf(c_242522,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(p(iPr_def_13),X0),X1) ),
    inference(superposition,[status(thm)],[c_231229,c_51]) ).

tcf(c_242524,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(p(iPr_def_13),X1))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_231229,c_187127]) ).

tcf(c_242562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(iPr_def_12,X2),u(X0,X3))
      | ( sK0(iPr_def_20,p(s(m(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230860]) ).

tcf(c_242563,plain,
    ! [X0: $i] : subq(e,u(e,X0)),
    inference(superposition,[status(thm)],[c_205214,c_230860]) ).

tcf(c_242564,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,u(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230860]) ).

tcf(c_242565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(X0,X2),m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,p(s(u(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_230860]) ).

tcf(c_242566,plain,
    ! [X0: $i] : subq(m(e,X0),iPr_def_10),
    inference(superposition,[status(thm)],[c_183365,c_230860]) ).

tcf(c_242570,plain,
    ! [X0: $i] : subq(m(iPr_def_15,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_180980,c_230860]) ).

tcf(c_242571,plain,
    ! [X0: $i] : subq(m(iPr_def_10,X0),iPr_def_13),
    inference(superposition,[status(thm)],[c_183363,c_230860]) ).

tcf(c_242572,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,u(X0,X2))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_230860,c_202827]) ).

tcf(c_242573,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,u(X0,X2))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_230860,c_202514]) ).

tcf(c_242574,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,u(X0,X2))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_230860,c_202427]) ).

tcf(c_242575,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,u(X0,X2))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_230860,c_202290]) ).

tcf(c_242576,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,u(X0,X2))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_230860,c_202176]) ).

tcf(c_242577,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,X2))
      | subq(u(X0,X2),m(X0,X1))
      | ~ atleast2p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_230860,c_65]) ).

tcf(c_242578,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X0,X1) = m(X0,X2) )
      | ~ subq(u(X0,X1),m(X0,X2)) ),
    inference(superposition,[status(thm)],[c_230860,c_52]) ).

tcf(c_242579,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_207719]) ).

tcf(c_242580,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_206660]) ).

tcf(c_242581,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_206641]) ).

tcf(c_242582,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_206622]) ).

tcf(c_242583,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_12,X1))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_206606]) ).

tcf(c_242584,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,u(iPr_def_18,X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_226303]) ).

tcf(c_242585,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_18,X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_226128]) ).

tcf(c_242586,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_18,X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_226080]) ).

tcf(c_242587,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(iPr_def_18,X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_226027]) ).

tcf(c_242588,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_18,X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_225853]) ).

tcf(c_242589,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_18,X1))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_225810]) ).

tcf(c_242590,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_21,X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_205984]) ).

tcf(c_242591,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_21,X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_205867]) ).

tcf(c_242592,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_21,X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_205855]) ).

tcf(c_242593,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_21,X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_205843]) ).

tcf(c_242594,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_21,X1))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_205831]) ).

tcf(c_242743,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_242570]) ).

tcf(c_242750,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_21 )
      | ~ subq(iPr_def_21,m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242570,c_52]) ).

tcf(c_242751,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242570,c_180963]) ).

tcf(c_242762,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242751]) ).

tcf(c_242763,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_202827]) ).

tcf(c_242764,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_202514]) ).

tcf(c_242765,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_202427]) ).

tcf(c_242766,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_202290]) ).

tcf(c_242767,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_202176]) ).

tcf(c_242769,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_242751,c_52]) ).

tcf(c_242770,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_215595]) ).

tcf(c_242771,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_214259]) ).

tcf(c_242772,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_213166]) ).

tcf(c_242773,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_209799]) ).

tcf(c_242774,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_184804]) ).

tcf(c_242775,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_184712]) ).

tcf(c_242776,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_184534]) ).

tcf(c_242777,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_183356]) ).

tcf(c_242778,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_181843]) ).

tcf(c_242779,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_181840]) ).

tcf(c_242780,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_181422]) ).

tcf(c_242781,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242751,c_181661]) ).

tcf(c_242806,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_242769,c_242570]) ).

tcf(c_242812,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_242767,c_183066]) ).

tcf(c_242816,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_242766,c_183066]) ).

tcf(c_242820,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_242765,c_183066]) ).

tcf(c_242824,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_242764,c_183066]) ).

tcf(c_242828,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_242763,c_183066]) ).

tcf(c_242988,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242770]) ).

tcf(c_242995,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_17 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_242770,c_52]) ).

tcf(c_242997,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_15,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242770,c_193464]) ).

tcf(c_242998,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_15,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242770,c_193438]) ).

tcf(c_242999,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242770,c_189330]) ).

tcf(c_243000,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242770,c_183155]) ).

tcf(c_243027,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242771]) ).

tcf(c_243034,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_242771,c_52]) ).

tcf(c_243035,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242771,c_189313]) ).

tcf(c_243036,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242771,c_183780]) ).

tcf(c_243055,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242772]) ).

tcf(c_243062,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_20 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_242772,c_52]) ).

tcf(c_243076,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242773]) ).

tcf(c_243083,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_242773,c_52]) ).

tcf(c_243087,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_15,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242773,c_186614]) ).

tcf(c_243088,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_15,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242773,c_186601]) ).

tcf(c_243110,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242774]) ).

tcf(c_243117,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_242774,c_52]) ).

tcf(c_243118,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242774,c_184434]) ).

tcf(c_243119,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242774,c_186343]) ).

tcf(c_243120,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242774,c_186324]) ).

tcf(c_243121,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242774,c_186305]) ).

tcf(c_243155,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242775]) ).

tcf(c_243162,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_242775,c_52]) ).

tcf(c_243163,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_15,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_184414]) ).

tcf(c_243164,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_195726]) ).

tcf(c_243165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_186629]) ).

tcf(c_243166,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_186418]) ).

tcf(c_243167,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_186373]) ).

tcf(c_243168,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_187372]) ).

tcf(c_243169,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242775,c_186666]) ).

tcf(c_243240,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242776]) ).

tcf(c_243241,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_202827]) ).

tcf(c_243242,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_202514]) ).

tcf(c_243243,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_202427]) ).

tcf(c_243244,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_202290]) ).

tcf(c_243245,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_15,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_202176]) ).

tcf(c_243251,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_182657]) ).

tcf(c_243252,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_182420]) ).

tcf(c_243253,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_182362]) ).

tcf(c_243255,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_15 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242776,c_205213]) ).

tcf(c_243294,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213556]) ).

tcf(c_243295,plain,
    ( subq(iPr_def_16,p(iPr_def_14))
    | ( iPr_def_10 = iPr_def_13 )
    | ~ mem(iPr_def_12,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_213556,c_49]) ).

tcf(c_243297,plain,
    ( subq(iPr_def_16,p(iPr_def_14))
    | ( iPr_def_10 = iPr_def_13 )
    | ~ subq(iPr_def_12,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_213556,c_181012]) ).

tcf(c_243299,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(iPr_def_14))
    | ( iPr_def_10 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_213556,c_187457]) ).

tcf(c_243302,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_14))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213556,c_181283]) ).

tcf(c_243303,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_14))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213556,c_183681]) ).

tcf(c_243304,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_14))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213556,c_182675]) ).

tcf(c_243331,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(p(iPr_def_19),X0)),p(X1)) = u(p(iPr_def_19),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_241723]) ).

tcf(c_243332,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,p(X0))
      | atleast2p(u(p(iPr_def_19),X1))
      | ~ mem(X0,u(p(iPr_def_19),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241723]) ).

tcf(c_243334,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(p(iPr_def_19),X0))
      | ( sK0(iPr_def_20,p(u(p(iPr_def_19),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_241723]) ).

tcf(c_243335,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(p(iPr_def_19),X0))
      | ( sK0(s(u(p(iPr_def_19),X0)),p(iPr_def_21)) = u(p(iPr_def_19),X0) )
      | ~ atleast3p(u(p(iPr_def_19),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_241723]) ).

tcf(c_243336,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(p(iPr_def_19),X0))
      | ( sK0(iPr_def_17,u(p(iPr_def_19),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_241723]) ).

tcf(c_243337,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(p(iPr_def_19),X0))
      | ( sK0(iPr_def_14,p(u(p(iPr_def_19),X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_241723]) ).

tcf(c_243338,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(u(p(iPr_def_19),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_241723]) ).

tcf(c_243339,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_19),X0))
      | mem(iPr_def_19,m(u(p(iPr_def_19),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_19),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_241723]) ).

tcf(c_243341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_19),X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_241723]) ).

tcf(c_243439,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(p(iPr_def_13),X0)),p(X1)) = u(p(iPr_def_13),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_241734]) ).

tcf(c_243440,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(p(iPr_def_13),X1))
      | ~ mem(X0,u(p(iPr_def_13),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241734]) ).

tcf(c_243442,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(p(iPr_def_13),X0))
      | ( sK0(iPr_def_20,p(u(p(iPr_def_13),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_241734]) ).

tcf(c_243443,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(p(iPr_def_13),X0))
      | ( sK0(s(u(p(iPr_def_13),X0)),p(iPr_def_21)) = u(p(iPr_def_13),X0) )
      | ~ atleast3p(u(p(iPr_def_13),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_241734]) ).

tcf(c_243444,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(p(iPr_def_13),X0))
      | ( sK0(iPr_def_17,u(p(iPr_def_13),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_241734]) ).

tcf(c_243446,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(p(iPr_def_13),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_241734]) ).

tcf(c_243447,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_13),X0))
      | mem(iPr_def_10,m(u(p(iPr_def_13),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_13),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_241734]) ).

tcf(c_243449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_13),X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_241734]) ).

tcf(c_243493,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(p(iPr_def_13),X0)),p(X1)) = u(p(iPr_def_13),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_241745]) ).

tcf(c_243494,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(p(iPr_def_13),X1))
      | ~ mem(X0,u(p(iPr_def_13),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241745]) ).

tcf(c_243499,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(p(iPr_def_13),X0))
      | ( sK0(iPr_def_14,p(u(p(iPr_def_13),X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_241745]) ).

tcf(c_243500,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(p(iPr_def_13),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_241745]) ).

tcf(c_243501,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_13),X0))
      | mem(iPr_def_12,m(u(p(iPr_def_13),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_13),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_241745]) ).

tcf(c_243503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_13),X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_241745]) ).

tcf(c_243573,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(p(iPr_def_13),X0)),p(X1)) = u(p(iPr_def_13),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_242522]) ).

tcf(c_243574,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(p(iPr_def_13),X1))
      | ~ mem(X0,u(p(iPr_def_13),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_242522]) ).

tcf(c_243576,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(p(iPr_def_13),X0))
      | ( sK0(iPr_def_20,p(u(p(iPr_def_13),X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_242522]) ).

tcf(c_243577,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(p(iPr_def_13),X0))
      | ( sK0(s(u(p(iPr_def_13),X0)),p(iPr_def_21)) = u(p(iPr_def_13),X0) )
      | ~ atleast3p(u(p(iPr_def_13),X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_242522]) ).

tcf(c_243578,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(p(iPr_def_13),X0))
      | ( sK0(iPr_def_17,u(p(iPr_def_13),X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_242522]) ).

tcf(c_243579,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(p(iPr_def_13),X0))
      | ( sK0(iPr_def_14,p(u(p(iPr_def_13),X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_242522]) ).

tcf(c_243580,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(p(iPr_def_13),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_242522]) ).

tcf(c_243581,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_13),X0))
      | mem(iPr_def_13,m(u(p(iPr_def_13),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_13),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_242522]) ).

tcf(c_243583,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(u(p(iPr_def_13),X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_242522]) ).

tcf(c_243625,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),iPr_def_13)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_10,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_242571]) ).

tcf(c_243626,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_242571,c_202827]) ).

tcf(c_243627,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_242571,c_202514]) ).

tcf(c_243628,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_242571,c_202427]) ).

tcf(c_243629,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(s(m(iPr_def_10,X0)),p(iPr_def_21)) = m(iPr_def_10,X0) )
      | ~ atleast3p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_242571,c_202290]) ).

tcf(c_243631,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_13,m(iPr_def_10,X0))
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_242571,c_65]) ).

tcf(c_243632,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_13 )
      | ~ subq(iPr_def_13,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_242571,c_52]) ).

tcf(c_243735,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_231174]) ).

tcf(c_243737,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ~ subq(u(iPr_def_18,X0),X1) ),
    inference(superposition,[status(thm)],[c_231174,c_51]) ).

tcf(c_243739,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_18,X1))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_231174,c_189953]) ).

tcf(c_243753,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(s(X0),p(iPr_def_18)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231667]) ).

tcf(c_243754,plain,
    subq(e,iPr_def_21),
    inference(superposition,[status(thm)],[c_180985,c_231667]) ).

tcf(c_243755,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_18),X0)
      | subq(sK0(p(iPr_def_18),X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_181000,c_231667]) ).

tcf(c_243757,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_21)
      | ( sK0(s(X0),iPr_def_18) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_231667]) ).

tcf(c_243760,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_21)
      | ( sK0(iPr_def_12,m(p(iPr_def_18),X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_231667]) ).

tcf(c_243761,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ( sK0(iPr_def_16,p(p(iPr_def_18))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_231667]) ).

tcf(c_243762,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ( sK0(iPr_def_14,p(p(iPr_def_18))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_231667]) ).

tcf(c_243763,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ( sK0(iPr_def_12,p(iPr_def_18)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_231667]) ).

tcf(c_243785,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,iPr_def_21)
      | ( sK0(iPr_def_14,m(p(iPr_def_18),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231667]) ).

tcf(c_243790,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(u(iPr_def_18,X0),iPr_def_21)
      | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_231138,c_231667]) ).

tcf(c_243791,plain,
    ! [X0: $i] :
      ( subq(m(iPr_def_12,X0),iPr_def_21)
      | ~ subq(iPr_def_19,p(iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_205285,c_231667]) ).

tcf(c_243792,plain,
    ! [X0: $i] : subq(m(iPr_def_16,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_231927,c_231667]) ).

tcf(c_243807,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(u(iPr_def_18,X0),iPr_def_21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243790,c_185435]) ).

tcf(c_243816,plain,
    ! [X0: $i,X1: $i] :
      ( subq(m(iPr_def_12,X1),iPr_def_21)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_243792]) ).

tcf(c_243823,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_21 )
      | ~ subq(iPr_def_21,m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243792,c_52]) ).

tcf(c_243824,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243792,c_180963]) ).

tcf(c_243835,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243824]) ).

tcf(c_243836,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_202827]) ).

tcf(c_243837,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_202514]) ).

tcf(c_243838,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_202427]) ).

tcf(c_243839,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_202290]) ).

tcf(c_243840,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_202176]) ).

tcf(c_243842,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_243824,c_52]) ).

tcf(c_243843,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_215595]) ).

tcf(c_243844,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_214259]) ).

tcf(c_243845,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_213166]) ).

tcf(c_243846,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_209799]) ).

tcf(c_243847,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_184804]) ).

tcf(c_243848,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_184712]) ).

tcf(c_243849,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_184534]) ).

tcf(c_243850,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_183356]) ).

tcf(c_243851,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_181843]) ).

tcf(c_243852,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_181840]) ).

tcf(c_243853,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_181422]) ).

tcf(c_243854,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243824,c_181661]) ).

tcf(c_243879,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243842,c_243792]) ).

tcf(c_243885,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243840,c_183066]) ).

tcf(c_243889,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243839,c_183066]) ).

tcf(c_243893,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243838,c_183066]) ).

tcf(c_243897,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243837,c_183066]) ).

tcf(c_243901,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_243836,c_183066]) ).

tcf(c_243948,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242777]) ).

tcf(c_243949,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_242777,c_51]) ).

tcf(c_243950,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242777,c_61]) ).

tcf(c_243952,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_15,X0))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242777,c_189953]) ).

tcf(c_243953,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_12)),
    inference(superposition,[status(thm)],[c_242777,c_221620]) ).

tcf(c_243954,plain,
    ( subq(iPr_def_12,m(iPr_def_15,iPr_def_21))
    | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_242777,c_221064]) ).

tcf(c_243955,plain,
    ( subq(iPr_def_12,m(iPr_def_15,iPr_def_13))
    | ~ atleast3p(m(iPr_def_15,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_242777,c_221090]) ).

tcf(c_243956,plain,
    ( subq(iPr_def_12,m(iPr_def_15,iPr_def_15))
    | ~ atleast3p(m(iPr_def_15,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_242777,c_221423]) ).

tcf(c_243978,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242778]) ).

tcf(c_243979,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_242778,c_51]) ).

tcf(c_243980,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242778,c_61]) ).

tcf(c_243981,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242778,c_60]) ).

tcf(c_243982,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_15,X0))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242778,c_187546]) ).

tcf(c_243983,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_17)),
    inference(superposition,[status(thm)],[c_242778,c_220034]) ).

tcf(c_243984,plain,
    ( subq(iPr_def_17,m(iPr_def_15,iPr_def_18))
    | ~ atleast3p(m(iPr_def_15,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_242778,c_220416]) ).

tcf(c_243985,plain,
    ( subq(iPr_def_17,m(iPr_def_15,iPr_def_21))
    | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_242778,c_220436]) ).

tcf(c_244083,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242779]) ).

tcf(c_244084,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_242779,c_51]) ).

tcf(c_244085,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242779,c_61]) ).

tcf(c_244086,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242779,c_60]) ).

tcf(c_244087,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_15,X0))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242779,c_187680]) ).

tcf(c_244088,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_20)),
    inference(superposition,[status(thm)],[c_242779,c_221228]) ).

tcf(c_244089,plain,
    ( subq(iPr_def_20,m(iPr_def_15,iPr_def_21))
    | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_242779,c_221029]) ).

tcf(c_244108,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242780]) ).

tcf(c_244109,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_242780,c_51]) ).

tcf(c_244110,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242780,c_61]) ).

tcf(c_244111,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242780,c_60]) ).

tcf(c_244112,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_15,X0))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242780,c_187219]) ).

tcf(c_244113,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_15,X0))
      | subq(m(iPr_def_15,X0),iPr_def_19)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242780,c_181263]) ).

tcf(c_244114,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_16)),
    inference(superposition,[status(thm)],[c_242780,c_219646]) ).

tcf(c_244115,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_19)),
    inference(superposition,[status(thm)],[c_242780,c_219696]) ).

tcf(c_244116,plain,
    ( subq(iPr_def_16,m(iPr_def_15,iPr_def_18))
    | ~ atleast3p(m(iPr_def_15,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_242780,c_219579]) ).

tcf(c_244117,plain,
    ( subq(iPr_def_16,m(iPr_def_15,iPr_def_21))
    | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_242780,c_219911]) ).

tcf(c_244141,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_242781]) ).

tcf(c_244142,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(m(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_242781,c_51]) ).

tcf(c_244143,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242781,c_61]) ).

tcf(c_244145,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_15,X0))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_242781,c_187127]) ).

tcf(c_244146,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_14)),
    inference(superposition,[status(thm)],[c_242781,c_218478]) ).

tcf(c_244147,plain,
    ( subq(iPr_def_14,m(iPr_def_15,iPr_def_15))
    | ~ atleast3p(m(iPr_def_15,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_242781,c_219047]) ).

tcf(c_244148,plain,
    ( subq(iPr_def_14,m(iPr_def_15,iPr_def_21))
    | ~ atleast3p(m(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_242781,c_219069]) ).

tcf(c_244198,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243843]) ).

tcf(c_244205,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_17 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_243843,c_52]) ).

tcf(c_244207,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243843,c_193464]) ).

tcf(c_244208,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243843,c_193438]) ).

tcf(c_244209,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243843,c_189330]) ).

tcf(c_244210,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243843,c_183155]) ).

tcf(c_244311,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243844]) ).

tcf(c_244319,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243844,c_189313]) ).

tcf(c_244320,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243844,c_183780]) ).

tcf(c_244322,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243844,c_205213]) ).

tcf(c_244339,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(iPr_def_16))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213559]) ).

tcf(c_244340,plain,
    ( subq(iPr_def_16,p(iPr_def_16))
    | ( iPr_def_10 = iPr_def_12 )
    | ~ mem(iPr_def_12,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_213559,c_49]) ).

tcf(c_244342,plain,
    ( subq(iPr_def_16,p(iPr_def_16))
    | ( iPr_def_10 = iPr_def_12 )
    | ~ subq(iPr_def_12,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_213559,c_181012]) ).

tcf(c_244344,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(iPr_def_16))
    | ( iPr_def_10 = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213559,c_187457]) ).

tcf(c_244347,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_16))
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213559,c_181283]) ).

tcf(c_244348,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_16))
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213559,c_183681]) ).

tcf(c_244349,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_16))
      | ( iPr_def_10 = iPr_def_12 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213559,c_182675]) ).

tcf(c_244376,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243981]) ).

tcf(c_244384,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244086]) ).

tcf(c_244392,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244111]) ).

tcf(c_244400,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243950]) ).

tcf(c_244404,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_12)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243953]) ).

tcf(c_244408,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_17)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243983]) ).

tcf(c_244411,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_20)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244088]) ).

tcf(c_244414,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_16)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244114]) ).

tcf(c_244421,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243845]) ).

tcf(c_244428,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_20 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_243845,c_52]) ).

tcf(c_244442,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243846]) ).

tcf(c_244449,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_243846,c_52]) ).

tcf(c_244453,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243846,c_186614]) ).

tcf(c_244454,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243846,c_186601]) ).

tcf(c_244464,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_244449,c_231927]) ).

tcf(c_244474,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243847]) ).

tcf(c_244481,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_243847,c_52]) ).

tcf(c_244482,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243847,c_184434]) ).

tcf(c_244483,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243847,c_186343]) ).

tcf(c_244484,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243847,c_186324]) ).

tcf(c_244485,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243847,c_186305]) ).

tcf(c_244513,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243848]) ).

tcf(c_244520,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_243848,c_52]) ).

tcf(c_244521,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_184414]) ).

tcf(c_244522,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_195726]) ).

tcf(c_244523,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_186629]) ).

tcf(c_244524,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_186418]) ).

tcf(c_244525,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_16,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_186373]) ).

tcf(c_244526,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_187372]) ).

tcf(c_244527,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243848,c_186666]) ).

tcf(c_244614,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243849]) ).

tcf(c_244615,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_202827]) ).

tcf(c_244616,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_202514]) ).

tcf(c_244617,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_202427]) ).

tcf(c_244618,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_202290]) ).

tcf(c_244619,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_16,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_202176]) ).

tcf(c_244621,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_15 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_243849,c_52]) ).

tcf(c_244625,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_182657]) ).

tcf(c_244626,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_182420]) ).

tcf(c_244627,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_16,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243849,c_182362]) ).

tcf(c_244683,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243850]) ).

tcf(c_244684,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_243850,c_51]) ).

tcf(c_244685,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243850,c_61]) ).

tcf(c_244686,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243850,c_60]) ).

tcf(c_244687,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_16,X0))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243850,c_189953]) ).

tcf(c_244688,plain,
    ~ atleast3p(m(iPr_def_16,iPr_def_12)),
    inference(superposition,[status(thm)],[c_243850,c_221620]) ).

tcf(c_244689,plain,
    ( subq(iPr_def_12,m(iPr_def_16,iPr_def_21))
    | ~ atleast3p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_243850,c_221064]) ).

tcf(c_244690,plain,
    ( subq(iPr_def_12,m(iPr_def_16,iPr_def_13))
    | ~ atleast3p(m(iPr_def_16,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_243850,c_221090]) ).

tcf(c_244691,plain,
    ( subq(iPr_def_12,m(iPr_def_16,iPr_def_15))
    | ~ atleast3p(m(iPr_def_16,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_243850,c_221423]) ).

tcf(c_244911,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243851]) ).

tcf(c_244912,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_243851,c_51]) ).

tcf(c_244913,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243851,c_61]) ).

tcf(c_244914,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243851,c_60]) ).

tcf(c_244915,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_16,X0))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243851,c_187546]) ).

tcf(c_244916,plain,
    ~ atleast3p(m(iPr_def_16,iPr_def_17)),
    inference(superposition,[status(thm)],[c_243851,c_220034]) ).

tcf(c_244917,plain,
    ( subq(iPr_def_17,m(iPr_def_16,iPr_def_18))
    | ~ atleast3p(m(iPr_def_16,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_243851,c_220416]) ).

tcf(c_244918,plain,
    ( subq(iPr_def_17,m(iPr_def_16,iPr_def_21))
    | ~ atleast3p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_243851,c_220436]) ).

tcf(c_244939,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243852]) ).

tcf(c_244940,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_243852,c_51]) ).

tcf(c_244941,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243852,c_61]) ).

tcf(c_244942,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243852,c_60]) ).

tcf(c_244943,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_16,X0))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243852,c_187680]) ).

tcf(c_244944,plain,
    ~ atleast3p(m(iPr_def_16,iPr_def_20)),
    inference(superposition,[status(thm)],[c_243852,c_221228]) ).

tcf(c_244945,plain,
    ( subq(iPr_def_20,m(iPr_def_16,iPr_def_21))
    | ~ atleast3p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_243852,c_221029]) ).

tcf(c_244964,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213562]) ).

tcf(c_244965,plain,
    ( subq(iPr_def_16,p(iPr_def_17))
    | ( iPr_def_10 = iPr_def_16 )
    | ~ mem(iPr_def_12,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_213562,c_49]) ).

tcf(c_244967,plain,
    ( subq(iPr_def_16,p(iPr_def_17))
    | ( iPr_def_10 = iPr_def_16 )
    | ~ subq(iPr_def_12,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_213562,c_181012]) ).

tcf(c_244969,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(iPr_def_17))
    | ( iPr_def_10 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_213562,c_187457]) ).

tcf(c_244972,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_17))
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213562,c_181283]) ).

tcf(c_244973,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_17))
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213562,c_183681]) ).

tcf(c_244974,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_17))
      | ( iPr_def_10 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213562,c_182675]) ).

tcf(c_245001,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244686]) ).

tcf(c_245009,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244914]) ).

tcf(c_245017,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244942]) ).

tcf(c_245025,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243980]) ).

tcf(c_245029,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_19)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244115]) ).

tcf(c_245032,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_14)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244146]) ).

tcf(c_245035,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_12)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244688]) ).

tcf(c_245039,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_17)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244916]) ).

tcf(c_245046,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243853]) ).

tcf(c_245047,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_243853,c_51]) ).

tcf(c_245048,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243853,c_61]) ).

tcf(c_245050,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_16,X0))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243853,c_187219]) ).

tcf(c_245051,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_16,X0))
      | subq(m(iPr_def_16,X0),iPr_def_19)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243853,c_181263]) ).

tcf(c_245052,plain,
    ~ atleast3p(m(iPr_def_16,iPr_def_16)),
    inference(superposition,[status(thm)],[c_243853,c_219646]) ).

tcf(c_245053,plain,
    ~ atleast3p(m(iPr_def_16,iPr_def_19)),
    inference(superposition,[status(thm)],[c_243853,c_219696]) ).

tcf(c_245054,plain,
    ( subq(iPr_def_16,m(iPr_def_16,iPr_def_18))
    | ~ atleast3p(m(iPr_def_16,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_243853,c_219579]) ).

tcf(c_245055,plain,
    ( subq(iPr_def_16,m(iPr_def_16,iPr_def_21))
    | ~ atleast3p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_243853,c_219911]) ).

tcf(c_245114,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_243854]) ).

tcf(c_245115,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_243854,c_51]) ).

tcf(c_245116,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243854,c_61]) ).

tcf(c_245117,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243854,c_60]) ).

tcf(c_245118,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_16,X0))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_243854,c_187127]) ).

tcf(c_245119,plain,
    ~ atleast3p(m(iPr_def_16,iPr_def_14)),
    inference(superposition,[status(thm)],[c_243854,c_218478]) ).

tcf(c_245120,plain,
    ( subq(iPr_def_14,m(iPr_def_16,iPr_def_15))
    | ~ atleast3p(m(iPr_def_16,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_243854,c_219047]) ).

tcf(c_245121,plain,
    ( subq(iPr_def_14,m(iPr_def_16,iPr_def_21))
    | ~ atleast3p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_243854,c_219069]) ).

tcf(c_245280,plain,
    ! [X0: $i] :
      ( ~ atleast3p(m(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_242762,c_109445]) ).

tcf(c_245281,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(renaming,[status(thm)],[c_245280]) ).

tcf(c_245286,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245281]) ).

tcf(c_245290,plain,
    ! [X0: $i] :
      ( ~ atleast3p(m(iPr_def_16,X0))
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_243835,c_109487]) ).

tcf(c_245291,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(renaming,[status(thm)],[c_245290]) ).

tcf(c_245296,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245291]) ).

tcf(c_245300,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_20)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244944]) ).

tcf(c_245303,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_16)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245052]) ).

tcf(c_245306,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_19)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245053]) ).

tcf(c_245309,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,iPr_def_14)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245119]) ).

tcf(c_245316,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,p(iPr_def_20))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_213565]) ).

tcf(c_245317,plain,
    ( subq(iPr_def_16,p(iPr_def_20))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ mem(iPr_def_12,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_213565,c_49]) ).

tcf(c_245319,plain,
    ( subq(iPr_def_16,p(iPr_def_20))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ subq(iPr_def_12,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_213565,c_181012]) ).

tcf(c_245321,plain,
    ( atleast2p(iPr_def_16)
    | subq(iPr_def_12,iPr_def_12)
    | subq(iPr_def_16,p(iPr_def_20))
    | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_213565,c_187457]) ).

tcf(c_245324,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_20))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_213565,c_181283]) ).

tcf(c_245325,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_20))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_213565,c_183681]) ).

tcf(c_245326,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(iPr_def_20))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_213565,c_182675]) ).

tcf(c_245358,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244085]) ).

tcf(c_245366,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244110]) ).

tcf(c_245374,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244143]) ).

tcf(c_245382,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ( sK0(s(iPr_def_13),p(iPr_def_18)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231676]) ).

tcf(c_245383,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_21)
      | ( sK0(iPr_def_14,m(p(iPr_def_18),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231676]) ).

tcf(c_245392,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(s(X0),p(iPr_def_16)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231928]) ).

tcf(c_245393,plain,
    subq(e,iPr_def_18),
    inference(superposition,[status(thm)],[c_180985,c_231928]) ).

tcf(c_245394,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_16),X0)
      | subq(sK0(p(iPr_def_16),X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_181000,c_231928]) ).

tcf(c_245396,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_18)
      | ( sK0(s(X0),iPr_def_16) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_231928]) ).

tcf(c_245399,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_12,m(p(iPr_def_16),X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_231928]) ).

tcf(c_245400,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_16,p(p(iPr_def_16))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_231928]) ).

tcf(c_245401,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_14,p(p(iPr_def_16))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_231928]) ).

tcf(c_245402,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_12,p(iPr_def_16)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_231928]) ).

tcf(c_245404,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_18)
      | ( sK0(iPr_def_16,m(p(iPr_def_16),X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_193771,c_231928]) ).

tcf(c_245405,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_20,p(p(iPr_def_16))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217190,c_231928]) ).

tcf(c_245406,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_17,p(p(iPr_def_16))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215994,c_231928]) ).

tcf(c_245408,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_16,p(iPr_def_16)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187221,c_231928]) ).

tcf(c_245409,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_183528,c_231928]) ).

tcf(c_245410,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_17,p(iPr_def_16)) = iPr_def_16 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185473,c_231928]) ).

tcf(c_245412,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ( sK0(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_181079,c_231928]) ).

tcf(c_245424,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231928]) ).

tcf(c_245426,plain,
    ( subq(iPr_def_18,iPr_def_18)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183753,c_231928]) ).

tcf(c_245427,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191266,c_231928]) ).

tcf(c_245429,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_16,X0))
      | subq(u(iPr_def_16,X0),iPr_def_18)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231138,c_231928]) ).

tcf(c_245431,plain,
    ! [X0: $i] :
      ( subq(m(iPr_def_12,X0),iPr_def_18)
      | ~ subq(iPr_def_19,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_205285,c_231928]) ).

tcf(c_245432,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(u(iPr_def_18,X0),iPr_def_18)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_231928]) ).

tcf(c_245433,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_18,X0),iPr_def_18)
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_225945,c_231928]) ).

tcf(c_245482,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(s(iPr_def_13),p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231929]) ).

tcf(c_245483,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,iPr_def_18)
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231929]) ).

tcf(c_245492,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(s(iPr_def_15),p(iPr_def_16)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231930]) ).

tcf(c_245500,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244685]) ).

tcf(c_245508,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244913]) ).

tcf(c_245516,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_244941]) ).

tcf(c_245524,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245048]) ).

tcf(c_245532,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245116]) ).

tcf(c_245536,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,m(p(p(e)),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_215144]) ).

tcf(c_245537,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(p(p(e)),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_215144]) ).

tcf(c_245538,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(p(p(e)),X0))
      | ~ mem(iPr_def_12,m(p(p(e)),X0)) ),
    inference(superposition,[status(thm)],[c_215144,c_49]) ).

tcf(c_245541,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(p(p(e)),X0)) ),
    inference(superposition,[status(thm)],[c_215144,c_187457]) ).

tcf(c_245544,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(p(e)),X1))
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_215144,c_181283]) ).

tcf(c_245545,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(p(e)),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_215144,c_183681]) ).

tcf(c_245546,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(p(e)),X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_215144,c_182675]) ).

tcf(c_245569,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(s(u(iPr_def_18,X0)),p(X1)) = u(iPr_def_18,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_243737]) ).

tcf(c_245570,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | atleast2p(u(iPr_def_18,X1))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_243737]) ).

tcf(c_245572,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(iPr_def_18,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_18,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_243737]) ).

tcf(c_245573,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_18,X0))
      | ( sK0(s(u(iPr_def_18,X0)),p(iPr_def_21)) = u(iPr_def_18,X0) )
      | ~ atleast3p(u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_243737]) ).

tcf(c_245574,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(iPr_def_18,X0))
      | ( sK0(iPr_def_17,u(iPr_def_18,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_243737]) ).

tcf(c_245576,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(u(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_230853,c_243737]) ).

tcf(c_245577,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | atleast3p(u(iPr_def_18,X0))
      | mem(iPr_def_10,m(u(iPr_def_18,X0),X1))
      | ~ atleast2p(m(u(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_243737]) ).

tcf(c_245579,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_243737]) ).

tcf(c_245580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X2)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_243737]) ).

tcf(c_245627,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(m(iPr_def_12,X1),iPr_def_17)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_206280,c_232262]) ).

tcf(c_245628,plain,
    ( subq(iPr_def_21,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_20))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_667,c_232262]) ).

tcf(c_245635,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | ( u(iPr_def_18,X0) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,u(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_232262,c_52]) ).

tcf(c_245636,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_243737]) ).

tcf(c_245637,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_239389]) ).

tcf(c_245642,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_245628,c_667]) ).

tcf(c_245647,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | ( u(iPr_def_18,X0) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_245635,c_230867]) ).

tcf(c_245659,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_18,X0) = iPr_def_17 )
      | ( sK0(s(u(iPr_def_18,X0)),p(iPr_def_17)) = u(iPr_def_18,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232263]) ).

tcf(c_245661,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_18,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_18,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_206280,c_232263]) ).

tcf(c_245662,plain,
    ( ( u(iPr_def_18,iPr_def_20) = iPr_def_17 )
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_667,c_232263]) ).

tcf(c_245676,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_20)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_206280,c_232283]) ).

tcf(c_245683,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_20 )
      | ~ atleast2p(iPr_def_20)
      | ~ subq(iPr_def_20,u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232283,c_52]) ).

tcf(c_245685,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_240215]) ).

tcf(c_245686,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_240188]) ).

tcf(c_245688,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_239750]) ).

tcf(c_245689,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_239741]) ).

tcf(c_245702,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_20 )
      | ~ atleast2p(iPr_def_20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_245683,c_230868]) ).

tcf(c_245714,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(s(iPr_def_21),p(iPr_def_16)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231931]) ).

tcf(c_245722,plain,
    ( subq(iPr_def_15,iPr_def_18)
    | ( sK0(s(iPr_def_21),p(iPr_def_16)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231935]) ).

tcf(c_245730,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ( sK0(s(iPr_def_13),p(iPr_def_16)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231936]) ).

tcf(c_245731,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231936]) ).

tcf(c_245740,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ( sK0(s(iPr_def_15),p(iPr_def_16)) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231937]) ).

tcf(c_245744,plain,
    ~ atleast3p(m(iPr_def_18,iPr_def_18)),
    inference(global_subsumption_just,[status(thm)],[c_241855,c_1661,c_37008,c_96561]) ).

tcf(c_245746,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,iPr_def_18)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245744]) ).

tcf(c_245750,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_21)),
    inference(global_subsumption_just,[status(thm)],[c_243954,c_37008,c_215800]) ).

tcf(c_245752,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_21)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_245750]) ).

tcf(c_245756,plain,
    sK0(iPr_def_17,p(iPr_def_10)) = iPr_def_16,
    inference(global_subsumption_just,[status(thm)],[c_215997,c_1179,c_2800,c_35004,c_172304,c_215997]) ).

tcf(c_245758,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(iPr_def_10))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_245756]) ).

tcf(c_245759,plain,
    ( subq(iPr_def_17,p(iPr_def_10))
    | ~ mem(iPr_def_16,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_245756,c_49]) ).

tcf(c_245761,plain,
    ( subq(iPr_def_17,p(iPr_def_10))
    | ~ subq(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_245756,c_181012]) ).

tcf(c_245763,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_245756,c_187918]) ).

tcf(c_245766,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_10))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_245756,c_181283]) ).

tcf(c_245767,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_10))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_245756,c_184132]) ).

tcf(c_245768,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_10))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_245756,c_183103]) ).

tcf(c_245787,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(iPr_def_10))
      | ( sK0(s(iPr_def_16),m(p(iPr_def_10),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_198896,c_245759]) ).

tcf(c_245788,plain,
    ( subq(iPr_def_17,p(iPr_def_10))
    | ( sK0(s(iPr_def_16),p(iPr_def_10)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_182860,c_245759]) ).

tcf(c_245790,plain,
    ( subq(iPr_def_17,p(iPr_def_10))
    | ( sK0(s(p(iPr_def_10)),p(iPr_def_21)) = p(iPr_def_10) )
    | ~ atleast3p(p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_201859,c_245759]) ).

tcf(c_245791,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,p(iPr_def_10))
      | ( sK0(iPr_def_17,m(p(iPr_def_10),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_245759]) ).

tcf(c_245794,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_17,p(iPr_def_10))
    | ~ mem(iPr_def_10,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182097,c_245759]) ).

tcf(c_245810,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_20 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_20)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232284]) ).

tcf(c_245812,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_20 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_206280,c_232284]) ).

tcf(c_245825,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_16)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_232326]) ).

tcf(c_245832,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232326,c_52]) ).

tcf(c_245834,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_240215]) ).

tcf(c_245836,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_239758]) ).

tcf(c_245837,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_239750]) ).

tcf(c_245838,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_239741]) ).

tcf(c_245851,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_245832,c_230874]) ).

tcf(c_245877,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_16 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_16)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232327]) ).

tcf(c_245879,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_206280,c_232327]) ).

tcf(c_245904,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ( sK0(s(iPr_def_21),p(iPr_def_16)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231938]) ).

tcf(c_245912,plain,
    ( subq(iPr_def_20,iPr_def_18)
    | ( sK0(s(iPr_def_21),p(iPr_def_16)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231941]) ).

tcf(c_245920,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(s(X0),p(iPr_def_12)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231986]) ).

tcf(c_245921,plain,
    subq(e,iPr_def_15),
    inference(superposition,[status(thm)],[c_180985,c_231986]) ).

tcf(c_245922,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | subq(sK0(p(iPr_def_12),X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181000,c_231986]) ).

tcf(c_245924,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_15)
      | ( sK0(s(X0),iPr_def_12) = X0 ) ),
    inference(superposition,[status(thm)],[c_181019,c_231986]) ).

tcf(c_245925,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(iPr_def_12),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_194428,c_231986]) ).

tcf(c_245926,plain,
    ( subq(iPr_def_19,iPr_def_15)
    | ( sK0(iPr_def_20,p(iPr_def_12)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187682,c_231986]) ).

tcf(c_245927,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | subq(sK0(iPr_def_19,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_181054,c_231986]) ).

tcf(c_245928,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_15)
      | ( sK0(iPr_def_12,m(p(iPr_def_12),X0)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_194632,c_231986]) ).

tcf(c_245929,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( sK0(iPr_def_16,p(p(iPr_def_12))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213546,c_231986]) ).

tcf(c_245930,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( sK0(iPr_def_14,p(p(iPr_def_12))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207994,c_231986]) ).

tcf(c_245931,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( sK0(iPr_def_12,p(iPr_def_12)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189955,c_231986]) ).

tcf(c_245942,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_15)
      | ( sK0(iPr_def_17,m(p(iPr_def_12),X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_194166,c_231986]) ).

tcf(c_245944,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187548,c_231986]) ).

tcf(c_245945,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_181087,c_231986]) ).

tcf(c_245947,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_181095,c_231986]) ).

tcf(c_245951,plain,
    ( subq(iPr_def_20,iPr_def_15)
    | ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181103,c_231986]) ).

tcf(c_245953,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,iPr_def_15)
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231986]) ).

tcf(c_245954,plain,
    ( subq(iPr_def_13,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_231986]) ).

tcf(c_245955,plain,
    ( atleast3p(iPr_def_15)
    | subq(iPr_def_15,iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_182645,c_231986]) ).

tcf(c_245956,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187549,c_231986]) ).

tcf(c_245958,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_12,X0))
      | subq(u(iPr_def_12,X0),iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231138,c_231986]) ).

tcf(c_245959,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(u(iPr_def_15,X0),iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_231986]) ).

tcf(c_245981,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_245920,c_665]) ).

tcf(c_245990,plain,
    ! [X0: $i] :
      ( subq(iPr_def_13,iPr_def_15)
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_245953,c_665]) ).

tcf(c_245993,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,iPr_def_15)
      | ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_245942,c_665]) ).

tcf(c_246109,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_12)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231990]) ).

tcf(c_246111,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(s(iPr_def_21),iPr_def_19) = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_246109,c_665]) ).

tcf(c_246114,plain,
    ~ atleast3p(m(iPr_def_15,iPr_def_15)),
    inference(global_subsumption_just,[status(thm)],[c_243956,c_1661,c_37008,c_100359]) ).

tcf(c_246116,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_15,iPr_def_15)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_246114]) ).

tcf(c_246124,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(iPr_def_14))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216004]) ).

tcf(c_246125,plain,
    ( subq(iPr_def_17,p(iPr_def_14))
    | ( iPr_def_12 = iPr_def_13 )
    | ~ mem(iPr_def_16,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_216004,c_49]) ).

tcf(c_246127,plain,
    ( subq(iPr_def_17,p(iPr_def_14))
    | ( iPr_def_12 = iPr_def_13 )
    | ~ subq(iPr_def_16,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_216004,c_181012]) ).

tcf(c_246129,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(iPr_def_14))
    | ( iPr_def_12 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_216004,c_187918]) ).

tcf(c_246132,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_14))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_216004,c_181283]) ).

tcf(c_246133,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_14))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_216004,c_184132]) ).

tcf(c_246134,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_14))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_216004,c_183103]) ).

tcf(c_246163,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | subq(m(iPr_def_12,X1),iPr_def_10)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_232780]) ).

tcf(c_246170,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | ( u(iPr_def_13,X0) = iPr_def_10 )
      | ~ atleast2p(iPr_def_10)
      | ~ subq(iPr_def_10,u(iPr_def_13,X0)) ),
    inference(superposition,[status(thm)],[c_232780,c_52]) ).

tcf(c_246172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(iPr_def_13,X0))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_240282]) ).

tcf(c_246176,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | ( u(iPr_def_13,X0) = iPr_def_10 )
      | ~ atleast2p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_246170,c_230878]) ).

tcf(c_246188,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_10 )
      | ( sK0(s(u(iPr_def_13,X0)),p(iPr_def_10)) = u(iPr_def_13,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232781]) ).

tcf(c_246190,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_13,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_13,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_206280,c_232781]) ).

tcf(c_246203,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_17)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_206280,c_232808]) ).

tcf(c_246210,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_232808,c_52]) ).

tcf(c_246211,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_240215]) ).

tcf(c_246212,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_240188]) ).

tcf(c_246213,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_239758]) ).

tcf(c_246215,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_239741]) ).

tcf(c_246228,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_246210,c_230883]) ).

tcf(c_246240,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_17 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_17)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232809]) ).

tcf(c_246242,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_206280,c_232809]) ).

tcf(c_246253,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(s(iPr_def_18),p(iPr_def_12)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231991]) ).

tcf(c_246255,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( sK0(s(iPr_def_18),iPr_def_19) = iPr_def_18 ) ),
    inference(light_normalisation,[status(thm)],[c_246253,c_665]) ).

tcf(c_246262,plain,
    ( subq(iPr_def_18,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_12)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231992]) ).

tcf(c_246264,plain,
    ( subq(iPr_def_18,iPr_def_15)
    | ( sK0(s(iPr_def_21),iPr_def_19) = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_246262,c_665]) ).

tcf(c_246271,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( sK0(s(iPr_def_13),p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231994]) ).

tcf(c_246272,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_15)
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_231994]) ).

tcf(c_246273,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( sK0(iPr_def_14,p(iPr_def_12)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_231994]) ).

tcf(c_246276,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,iPr_def_15)
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_246272,c_665]) ).

tcf(c_246283,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_12)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231997]) ).

tcf(c_246285,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ( sK0(s(iPr_def_21),iPr_def_19) = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_246283,c_665]) ).

tcf(c_246338,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,p(iPr_def_17))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216010]) ).

tcf(c_246339,plain,
    ( subq(iPr_def_17,p(iPr_def_17))
    | ( iPr_def_12 = iPr_def_16 )
    | ~ mem(iPr_def_16,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_216010,c_49]) ).

tcf(c_246341,plain,
    ( subq(iPr_def_17,p(iPr_def_17))
    | ( iPr_def_12 = iPr_def_16 )
    | ~ subq(iPr_def_16,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_216010,c_181012]) ).

tcf(c_246343,plain,
    ( atleast2p(iPr_def_17)
    | subq(iPr_def_16,iPr_def_16)
    | subq(iPr_def_17,p(iPr_def_17))
    | ( iPr_def_12 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_216010,c_187918]) ).

tcf(c_246346,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_17))
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_216010,c_181283]) ).

tcf(c_246347,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_17))
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_216010,c_184132]) ).

tcf(c_246348,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,p(iPr_def_17))
      | ( iPr_def_12 = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_216010,c_183103]) ).

tcf(c_246375,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_15 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_15)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_232849]) ).

tcf(c_246377,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_206280,c_232849]) ).

tcf(c_246380,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_246377,c_231985]) ).

tcf(c_246390,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_12)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_233030]) ).

tcf(c_246397,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_12,u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_233030,c_52]) ).

tcf(c_246399,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X1))
      | mem(u(iPr_def_21,X1),X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_233030,c_207878]) ).

tcf(c_246401,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | mem(u(iPr_def_21,X0),iPr_def_19)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_180993]) ).

tcf(c_246402,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_240215]) ).

tcf(c_246403,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_240188]) ).

tcf(c_246404,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_239758]) ).

tcf(c_246405,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_239750]) ).

tcf(c_246426,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_246397,c_230886]) ).

tcf(c_246434,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_12)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233031]) ).

tcf(c_246436,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_206280,c_233031]) ).

tcf(c_246437,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(s(u(iPr_def_21,X0)),iPr_def_19) = u(iPr_def_21,X0) ) ),
    inference(light_normalisation,[status(thm)],[c_246434,c_665]) ).

tcf(c_246440,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_246436,c_205070]) ).

tcf(c_246450,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X1),iPr_def_14)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_233435]) ).

tcf(c_246457,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14)
      | ~ subq(iPr_def_14,u(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_233435,c_52]) ).

tcf(c_246460,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_240188]) ).

tcf(c_246461,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_239758]) ).

tcf(c_246462,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_239750]) ).

tcf(c_246463,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_239741]) ).

tcf(c_246476,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | ( u(iPr_def_21,X0) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_246457,c_230887]) ).

tcf(c_246488,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ( sK0(s(iPr_def_18),p(iPr_def_12)) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231998]) ).

tcf(c_246490,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ( sK0(s(iPr_def_18),iPr_def_19) = iPr_def_18 ) ),
    inference(light_normalisation,[status(thm)],[c_246488,c_665]) ).

tcf(c_246497,plain,
    ( subq(iPr_def_20,iPr_def_15)
    | ( sK0(s(iPr_def_21),p(iPr_def_12)) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_231999]) ).

tcf(c_246499,plain,
    ( subq(iPr_def_20,iPr_def_15)
    | ( sK0(s(iPr_def_21),iPr_def_19) = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_246497,c_665]) ).

tcf(c_246502,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_19,X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_233617]) ).

tcf(c_246503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X1),X2))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_233617]) ).

tcf(c_246504,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(u(iPr_def_19,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_233617,c_51]) ).

tcf(c_246506,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(iPr_def_19,X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_233617,c_187219]) ).

tcf(c_246507,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(iPr_def_19,X0),X1))
      | subq(u(u(iPr_def_19,X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_233617,c_181263]) ).

tcf(c_246516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_19,X0),X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_233644]) ).

tcf(c_246517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,u(m(iPr_def_12,X1),X2))
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_233644]) ).

tcf(c_246518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(u(iPr_def_19,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_233644,c_51]) ).

tcf(c_246520,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(u(iPr_def_19,X1),X2))) = e,
    inference(superposition,[status(thm)],[c_233644,c_185755]) ).

tcf(c_246556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(u(iPr_def_19,X0),X1)),p(X2)) = u(u(iPr_def_19,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_246504]) ).

tcf(c_246557,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(u(iPr_def_19,X1),X2))
      | ~ mem(X0,u(u(iPr_def_19,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_246504]) ).

tcf(c_246562,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(u(iPr_def_19,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_19,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_246504]) ).

tcf(c_246563,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(u(iPr_def_19,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_246504]) ).

tcf(c_246564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_19,X0),X1))
      | mem(iPr_def_12,m(u(u(iPr_def_19,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_19,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_246504]) ).

tcf(c_246566,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_19,X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_246504]) ).

tcf(c_246567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_246504]) ).

tcf(c_246591,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(u(iPr_def_19,X0),X1)),p(X2)) = u(u(iPr_def_19,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_246518]) ).

tcf(c_246592,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(u(iPr_def_19,X1),X2))
      | ~ mem(X0,u(u(iPr_def_19,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_246518]) ).

tcf(c_246598,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(u(iPr_def_19,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_246518]) ).

tcf(c_246599,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_19,X0),X1))
      | mem(e,m(u(u(iPr_def_19,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_19,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_246518]) ).

tcf(c_246601,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_19,X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_246518]) ).

tcf(c_246602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_19,X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_246518]) ).

tcf(c_247086,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_14 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_14)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_233436]) ).

tcf(c_247088,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(u(iPr_def_21,X1)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_206280,c_233436]) ).

tcf(c_247099,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_50,c_234973]) ).

tcf(c_247100,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(s(X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_54,c_234973]) ).

tcf(c_247101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ( sK0(s(X0),m(X1,X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_198896,c_234973]) ).

tcf(c_247102,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(X1),X0) = X1 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_234973]) ).

tcf(c_247103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(u(X1,X2)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_56,c_234973]) ).

tcf(c_247104,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(s(u(X2,X1)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_57,c_234973]) ).

tcf(c_247105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X2)
      | ( sK0(iPr_def_20,p(s(m(X1,X2)))) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_59,c_234973]) ).

tcf(c_247106,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(p(X1)))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_62,c_234973]) ).

tcf(c_247107,plain,
    sK0(iPr_def_20,p(s(iPr_def_10))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_180974,c_234973]) ).

tcf(c_247108,plain,
    sK0(iPr_def_20,p(s(iPr_def_14))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_180976,c_234973]) ).

tcf(c_247109,plain,
    sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_180977,c_234973]) ).

tcf(c_247110,plain,
    sK0(iPr_def_20,p(s(iPr_def_17))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_180978,c_234973]) ).

tcf(c_247111,plain,
    sK0(iPr_def_20,p(s(iPr_def_20))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_180979,c_234973]) ).

tcf(c_247115,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(s(X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231142,c_234973]) ).

tcf(c_247116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(X0,X1),X2)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181173,c_234973]) ).

tcf(c_247123,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_17,p(m(X0,X1))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_215993,c_234973]) ).

tcf(c_247127,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_187220,c_234973]) ).

tcf(c_247132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,X2)
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181283,c_234973]) ).

tcf(c_247133,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(m(X0,X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_234973]) ).

tcf(c_247137,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_234973]) ).

tcf(c_247141,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X0,X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187128,c_234973]) ).

tcf(c_247144,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_187547,c_234973]) ).

tcf(c_247148,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(X0,X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_234973]) ).

tcf(c_247151,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_181635,c_234973]) ).

tcf(c_247154,plain,
    ! [X0: $i] :
      ( atleast2p(s(X0))
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_210422,c_234973]) ).

tcf(c_247156,plain,
    sK0(iPr_def_20,p(s(iPr_def_18))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_181669,c_234973]) ).

tcf(c_247160,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_10)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_181808,c_234973]) ).

tcf(c_247161,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181830,c_234973]) ).

tcf(c_247162,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_181859,c_234973]) ).

tcf(c_247163,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182097,c_234973]) ).

tcf(c_247164,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_234973]) ).

tcf(c_247165,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_234973]) ).

tcf(c_247166,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223232,c_234973]) ).

tcf(c_247167,plain,
    ( atleast3p(iPr_def_15)
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183623,c_234973]) ).

tcf(c_247172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223211,c_234973]) ).

tcf(c_247173,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195719,c_234973]) ).

tcf(c_247174,plain,
    ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_191255,c_234973]) ).

tcf(c_247176,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186779,c_234973]) ).

tcf(c_247178,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186345,c_234973]) ).

tcf(c_247181,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222392,c_234973]) ).

tcf(c_247183,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186753,c_234973]) ).

tcf(c_247184,plain,
    ( atleast2p(iPr_def_14)
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187364,c_234973]) ).

tcf(c_247185,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186326,c_234973]) ).

tcf(c_247187,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_183760,c_234973]) ).

tcf(c_247188,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_223186,c_234973]) ).

tcf(c_247189,plain,
    ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_188526,c_234973]) ).

tcf(c_247190,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189706,c_234973]) ).

tcf(c_247191,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_234973]) ).

tcf(c_247192,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187396,c_234973]) ).

tcf(c_247193,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186307,c_234973]) ).

tcf(c_247195,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191331,c_234973]) ).

tcf(c_247196,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183073,c_234973]) ).

tcf(c_247197,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182629,c_234973]) ).

tcf(c_247198,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183665,c_234973]) ).

tcf(c_247199,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183681,c_234973]) ).

tcf(c_247200,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_182675,c_234973]) ).

tcf(c_247202,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_182838,c_234973]) ).

tcf(c_247203,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181299,c_234973]) ).

tcf(c_247204,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183900,c_234973]) ).

tcf(c_247205,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182887,c_234973]) ).

tcf(c_247218,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_183082,c_234973]) ).

tcf(c_247219,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183910,c_234973]) ).

tcf(c_247220,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_184132,c_234973]) ).

tcf(c_247221,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_183103,c_234973]) ).

tcf(c_247223,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,X1)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183272,c_234973]) ).

tcf(c_247225,plain,
    ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187134,c_234973]) ).

tcf(c_247226,plain,
    ( atleast3p(iPr_def_15)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_184416,c_234973]) ).

tcf(c_247233,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_195729,c_234973]) ).

tcf(c_247234,plain,
    ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_195191,c_234973]) ).

tcf(c_247235,plain,
    ( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187226,c_234973]) ).

tcf(c_247236,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186631,c_234973]) ).

tcf(c_247238,plain,
    ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185478,c_234973]) ).

tcf(c_247239,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_16,p(m(X0,X1))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_213545,c_234973]) ).

tcf(c_247240,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_14,p(m(X0,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_207993,c_234973]) ).

tcf(c_247243,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_201858,c_234973]) ).

tcf(c_247244,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X0,X1)) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_189954,c_234973]) ).

tcf(c_247247,plain,
    sK0(iPr_def_20,p(s(iPr_def_21))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183359,c_234973]) ).

tcf(c_247253,plain,
    ( atleast2p(iPr_def_20)
    | ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_188462,c_234973]) ).

tcf(c_247254,plain,
    ( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191334,c_234973]) ).

tcf(c_247255,plain,
    ( atleast2p(iPr_def_20)
    | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_189285,c_234973]) ).

tcf(c_247257,plain,
    sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183350,c_234973]) ).

tcf(c_247258,plain,
    sK0(iPr_def_20,p(s(iPr_def_15))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183360,c_234973]) ).

tcf(c_247259,plain,
    sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183364,c_234973]) ).

tcf(c_247260,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183563,c_234973]) ).

tcf(c_247262,plain,
    ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187553,c_234973]) ).

tcf(c_247263,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186420,c_234973]) ).

tcf(c_247264,plain,
    ( atleast2p(iPr_def_14)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187374,c_234973]) ).

tcf(c_247265,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231879,c_234973]) ).

tcf(c_247266,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_222008,c_234973]) ).

tcf(c_247267,plain,
    ( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187687,c_234973]) ).

tcf(c_247268,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_16,iPr_def_19)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_189721,c_234973]) ).

tcf(c_247269,plain,
    ( atleast2p(iPr_def_14)
    | mem(iPr_def_10,iPr_def_19)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_187881,c_234973]) ).

tcf(c_247270,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186375,c_234973]) ).

tcf(c_247271,plain,
    ( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_12 )
    | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185237,c_234973]) ).

tcf(c_247272,plain,
    ( atleast2p(iPr_def_14)
    | ( sK0(iPr_def_17,iPr_def_14) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_186918,c_234973]) ).

tcf(c_247279,plain,
    ( atleast3p(iPr_def_15)
    | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_209338,c_234973]) ).

tcf(c_247280,plain,
    ( ( sK0(iPr_def_14,iPr_def_12) = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185045,c_234973]) ).

tcf(c_247281,plain,
    ( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185291,c_234973]) ).

tcf(c_247282,plain,
    ( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
    | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_185318,c_234973]) ).

tcf(c_247283,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_14,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231159,c_234973]) ).

tcf(c_247285,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_16,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231162,c_234973]) ).

tcf(c_247286,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_17,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231168,c_234973]) ).

tcf(c_247287,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_20,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231186,c_234973]) ).

tcf(c_247291,plain,
    sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_205216,c_234973]) ).

tcf(c_247293,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_10,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231146,c_234973]) ).

tcf(c_247299,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_183565,c_234973]) ).

tcf(c_247300,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_14,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_191493,c_234973]) ).

tcf(c_247303,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_16,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192021,c_234973]) ).

tcf(c_247304,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_19,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231144,c_234973]) ).

tcf(c_247305,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192290,c_234973]) ).

tcf(c_247306,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192602,c_234973]) ).

tcf(c_247307,plain,
    sK0(iPr_def_20,p(s(p(iPr_def_10)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183352,c_234973]) ).

tcf(c_247313,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
    | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_205287,c_234973]) ).

tcf(c_247325,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_12,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231154,c_234973]) ).

tcf(c_247326,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_15,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231183,c_234973]) ).

tcf(c_247327,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_18,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231175,c_234973]) ).

tcf(c_247331,plain,
    sK0(iPr_def_20,p(s(p(iPr_def_19)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_183484,c_234973]) ).

tcf(c_247333,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188142,c_234973]) ).

tcf(c_247334,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188204,c_234973]) ).

tcf(c_247336,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188252,c_234973]) ).

tcf(c_247337,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_188056,c_234973]) ).

tcf(c_247338,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_21,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231198,c_234973]) ).

tcf(c_247339,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(p(iPr_def_19),X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231226,c_234973]) ).

tcf(c_247340,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(p(iPr_def_10),X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231207,c_234973]) ).

tcf(c_247342,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_16,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241067,c_234973]) ).

tcf(c_247353,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_20,p(s(m(iPr_def_18,X0)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_224735,c_234973]) ).

tcf(c_247361,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(iPr_def_13,X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231205,c_234973]) ).

tcf(c_247363,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_19,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_233617,c_234973]) ).

tcf(c_247365,plain,
    sK0(iPr_def_20,p(s(p(iPr_def_13)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_182207,c_234973]) ).

tcf(c_247367,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(u(p(iPr_def_13),X0)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_231227,c_234973]) ).

tcf(c_247589,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(u(iPr_def_10,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_233700,c_51]) ).

tcf(c_247590,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_10,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_233700,c_234973]) ).

tcf(c_247592,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(u(iPr_def_10,X1),X2))) = e,
    inference(superposition,[status(thm)],[c_233700,c_185755]) ).

tcf(c_247598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(u(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239193,c_51]) ).

tcf(c_247599,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_12,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239193,c_234973]) ).

tcf(c_247601,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(iPr_def_12,X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_239193,c_189953]) ).

tcf(c_247607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(u(iPr_def_14,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239235,c_51]) ).

tcf(c_247608,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_14,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239235,c_234973]) ).

tcf(c_247610,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(u(iPr_def_14,X1),X2))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_239235,c_187127]) ).

tcf(c_247616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(u(iPr_def_16,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239298,c_51]) ).

tcf(c_247617,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_16,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239298,c_234973]) ).

tcf(c_247619,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(iPr_def_16,X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_239298,c_187219]) ).

tcf(c_247620,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(iPr_def_16,X0),X1))
      | subq(u(u(iPr_def_16,X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_239298,c_181263]) ).

tcf(c_247637,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_241066,c_51]) ).

tcf(c_247639,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ~ mem(iPr_def_10,X0)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241066,c_61]) ).

tcf(c_247640,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241066,c_60]) ).

tcf(c_247641,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_16,X0))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241066,c_189953]) ).

tcf(c_247642,plain,
    ( atleast2p(iPr_def_20)
    | ~ atleast2p(m(iPr_def_16,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_241066,c_221620]) ).

tcf(c_247643,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_16,iPr_def_21))
    | ~ atleast2p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_241066,c_221064]) ).

tcf(c_247644,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_16,iPr_def_13))
    | ~ atleast2p(m(iPr_def_16,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_241066,c_221090]) ).

tcf(c_247645,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_16,iPr_def_15))
    | ~ atleast2p(m(iPr_def_16,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_241066,c_221423]) ).

tcf(c_247686,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_17,m(p(p(e)),X0))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216426]) ).

tcf(c_247687,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(m(p(p(e)),X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216426]) ).

tcf(c_247688,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(p(p(e)),X0))
      | ~ mem(iPr_def_16,m(p(p(e)),X0)) ),
    inference(superposition,[status(thm)],[c_216426,c_49]) ).

tcf(c_247691,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_16,iPr_def_16)
      | subq(iPr_def_17,m(p(p(e)),X0)) ),
    inference(superposition,[status(thm)],[c_216426,c_187918]) ).

tcf(c_247694,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(p(p(e)),X1))
      | ~ subq(iPr_def_17,X0) ),
    inference(superposition,[status(thm)],[c_216426,c_181283]) ).

tcf(c_247695,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(p(p(e)),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_216426,c_184132]) ).

tcf(c_247696,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(p(p(e)),X1))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_216426,c_183103]) ).

tcf(c_247713,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_20,p(s(s(X0))))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_247100]) ).

tcf(c_247714,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(p(s(s(X0)))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_247100]) ).

tcf(c_247726,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(s(X0))))
      | ~ mem(iPr_def_19,p(s(s(X0)))) ),
    inference(superposition,[status(thm)],[c_247100,c_49]) ).

tcf(c_247728,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(s(X0))))
      | ~ subq(iPr_def_19,s(s(X0))) ),
    inference(superposition,[status(thm)],[c_247100,c_181012]) ).

tcf(c_247729,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(s(X1))))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_247100,c_181283]) ).

tcf(c_247731,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(s(s(X0)))) ),
    inference(superposition,[status(thm)],[c_247100,c_188300]) ).

tcf(c_247733,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(s(X1))))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_247100,c_183272]) ).

tcf(c_247755,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_247640]) ).

tcf(c_247809,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X1)
      | subq(X1,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_247099,c_65]) ).

tcf(c_247810,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( sK0(iPr_def_20,p(s(X1))) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_247099,c_52]) ).

tcf(c_247817,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,X1)
      | ( sK0(iPr_def_20,p(s(p(X0)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_210957]) ).

tcf(c_247819,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,p(X1))
      | ( sK0(iPr_def_20,p(s(sK0(X0,p(X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181012]) ).

tcf(c_247821,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_247099,c_184166]) ).

tcf(c_247822,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181295]) ).

tcf(c_247823,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181294]) ).

tcf(c_247825,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_10))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181288]) ).

tcf(c_247827,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_247099,c_184414]) ).

tcf(c_247828,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_195726]) ).

tcf(c_247829,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_186629]) ).

tcf(c_247830,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_186418]) ).

tcf(c_247831,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_186373]) ).

tcf(c_247832,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_187372]) ).

tcf(c_247833,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_186666]) ).

tcf(c_247834,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_12))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_183347]) ).

tcf(c_247841,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_247099,c_189313]) ).

tcf(c_247842,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_247099,c_183780]) ).

tcf(c_247843,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_16))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181291]) ).

tcf(c_247851,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(X0),X1)
      | ( sK0(p(X0),X1) = X0 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181359]) ).

tcf(c_247887,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_223231]) ).

tcf(c_247888,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_223210]) ).

tcf(c_247889,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_223185]) ).

tcf(c_247890,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_222391]) ).

tcf(c_247891,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_247099,c_184450]) ).

tcf(c_247894,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_186861]) ).

tcf(c_247895,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_187427]) ).

tcf(c_247896,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_247099,c_186839]) ).

tcf(c_247897,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_183332]) ).

tcf(c_247898,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_181444]) ).

tcf(c_247901,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231928]) ).

tcf(c_247906,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231994]) ).

tcf(c_247907,plain,
    ( subq(iPr_def_14,iPr_def_19)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_190127]) ).

tcf(c_247908,plain,
    ( ( iPr_def_12 = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_183057]) ).

tcf(c_247912,plain,
    ( ( iPr_def_10 = iPr_def_13 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_183335]) ).

tcf(c_247915,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_20 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247099,c_217412]) ).

tcf(c_247927,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X0) = X1 )
      | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_205281]) ).

tcf(c_247932,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231936]) ).

tcf(c_247933,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231929]) ).

tcf(c_247934,plain,
    ( ( iPr_def_13 = iPr_def_16 )
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_233967]) ).

tcf(c_247935,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_207719]) ).

tcf(c_247936,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_206660]) ).

tcf(c_247937,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_206641]) ).

tcf(c_247938,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_206622]) ).

tcf(c_247939,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_206606]) ).

tcf(c_247940,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247099,c_180963]) ).

tcf(c_247941,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231667]) ).

tcf(c_247944,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(X0,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_205213]) ).

tcf(c_247945,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,X1) = X0 )
      | ( sK0(iPr_def_20,p(s(u(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231139]) ).

tcf(c_247996,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_247099,c_205283]) ).

tcf(c_247997,plain,
    ! [X0: $i,X1: $i] :
      ( mem(m(iPr_def_12,X0),X1)
      | ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_205284]) ).

tcf(c_247998,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_247099,c_221632]) ).

tcf(c_247999,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_247099,c_221237]) ).

tcf(c_248000,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_247099,c_220043]) ).

tcf(c_248001,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_247099,c_219709]) ).

tcf(c_248002,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_247099,c_219659]) ).

tcf(c_248003,plain,
    ( ( sK0(iPr_def_20,p(s(iPr_def_19))) = iPr_def_19 )
    | ~ atleast3p(m(iPr_def_12,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_247099,c_218487]) ).

tcf(c_248012,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_222208]) ).

tcf(c_248013,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_222103]) ).

tcf(c_248014,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_222245]) ).

tcf(c_248015,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_247099,c_231676]) ).

tcf(c_248016,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(iPr_def_13))) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_247099,c_222179]) ).

tcf(c_248019,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_185083]) ).

tcf(c_248021,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_247099,c_185141]) ).

tcf(c_248236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(u(iPr_def_10,X0),X1)),p(X2)) = u(u(iPr_def_10,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_247589]) ).

tcf(c_248237,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(u(iPr_def_10,X1),X2))
      | ~ mem(X0,u(u(iPr_def_10,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_247589]) ).

tcf(c_248243,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(u(iPr_def_10,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_247589]) ).

tcf(c_248244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_10,X0),X1))
      | mem(e,m(u(u(iPr_def_10,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_10,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_247589]) ).

tcf(c_248246,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_10,X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_247589]) ).

tcf(c_248247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_10,X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_247589]) ).

tcf(c_248336,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ~ subq(u(u(iPr_def_17,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239330,c_51]) ).

tcf(c_248337,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_17,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239330,c_234973]) ).

tcf(c_248339,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_17,m(X0,u(u(iPr_def_17,X1),X2))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_239330,c_187546]) ).

tcf(c_248345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ~ subq(u(u(iPr_def_18,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239567,c_51]) ).

tcf(c_248346,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_18,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239567,c_234973]) ).

tcf(c_248348,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_17,m(X0,u(u(iPr_def_18,X1),X2))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_239567,c_187546]) ).

tcf(c_248354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(u(iPr_def_18,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239617,c_51]) ).

tcf(c_248357,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(iPr_def_18,X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_239617,c_187219]) ).

tcf(c_248358,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(iPr_def_18,X0),X1))
      | subq(u(u(iPr_def_18,X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_239617,c_181263]) ).

tcf(c_248366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(u(iPr_def_15,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239650,c_51]) ).

tcf(c_248367,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_15,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239650,c_234973]) ).

tcf(c_248369,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(iPr_def_15,X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_239650,c_189953]) ).

tcf(c_248379,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_202827]) ).

tcf(c_248380,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_202514]) ).

tcf(c_248381,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_202427]) ).

tcf(c_248382,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_202290]) ).

tcf(c_248383,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_202176]) ).

tcf(c_248385,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_21) ),
    inference(superposition,[status(thm)],[c_247940,c_52]) ).

tcf(c_248392,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_21),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_247940,c_181359]) ).

tcf(c_248393,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_215595]) ).

tcf(c_248394,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_214259]) ).

tcf(c_248395,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_213166]) ).

tcf(c_248396,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_209799]) ).

tcf(c_248397,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_184804]) ).

tcf(c_248398,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_184712]) ).

tcf(c_248399,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_184534]) ).

tcf(c_248400,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_183356]) ).

tcf(c_248401,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_181843]) ).

tcf(c_248402,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_181840]) ).

tcf(c_248403,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_181422]) ).

tcf(c_248404,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_247940,c_181661]) ).

tcf(c_248470,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248383,c_183066]) ).

tcf(c_248475,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248382,c_183066]) ).

tcf(c_248480,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248381,c_183066]) ).

tcf(c_248485,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248380,c_183066]) ).

tcf(c_248490,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248379,c_183066]) ).

tcf(c_248511,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_248393,c_52]) ).

tcf(c_248519,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248393,c_193464]) ).

tcf(c_248520,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248393,c_193438]) ).

tcf(c_248521,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248393,c_189330]) ).

tcf(c_248522,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248393,c_183155]) ).

tcf(c_248524,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_17),X0)
      | ( sK0(p(iPr_def_17),X0) = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_17),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_17),X0)) ),
    inference(superposition,[status(thm)],[c_248393,c_181359]) ).

tcf(c_248533,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_17 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_17,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_248393,c_205213]) ).

tcf(c_248578,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_248394,c_52]) ).

tcf(c_248585,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248394,c_189313]) ).

tcf(c_248586,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248394,c_183780]) ).

tcf(c_248589,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_16),X0)
      | ( sK0(p(iPr_def_16),X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_16),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_16),X0)) ),
    inference(superposition,[status(thm)],[c_248394,c_181359]) ).

tcf(c_248599,plain,
    ( ( sK0(iPr_def_20,p(s(p(e)))) = iPr_def_19 )
    | ~ atleast3p(p(e)) ),
    inference(superposition,[status(thm)],[c_248394,c_216424]) ).

tcf(c_248685,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_20),X0)
      | ( sK0(p(iPr_def_20),X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_20),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_20),X0)) ),
    inference(superposition,[status(thm)],[c_248395,c_181359]) ).

tcf(c_248697,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_20,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_248395,c_205213]) ).

tcf(c_248718,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_248396,c_52]) ).

tcf(c_248725,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_18),X0)
      | ( sK0(p(iPr_def_18),X0) = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_18),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_18),X0)) ),
    inference(superposition,[status(thm)],[c_248396,c_181359]) ).

tcf(c_248729,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248396,c_186614]) ).

tcf(c_248730,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248396,c_186601]) ).

tcf(c_248777,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_248397,c_52]) ).

tcf(c_248784,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248397,c_184434]) ).

tcf(c_248785,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248397,c_186343]) ).

tcf(c_248786,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248397,c_186324]) ).

tcf(c_248787,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248397,c_186305]) ).

tcf(c_248789,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_14),X0)
      | ( sK0(p(iPr_def_14),X0) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_14),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_14),X0)) ),
    inference(superposition,[status(thm)],[c_248397,c_181359]) ).

tcf(c_248798,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_14,X0) = iPr_def_14 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_14,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_248397,c_205213]) ).

tcf(c_248849,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_184414]) ).

tcf(c_248850,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_14 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_195726]) ).

tcf(c_248851,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_186629]) ).

tcf(c_248852,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_186418]) ).

tcf(c_248853,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_186373]) ).

tcf(c_248854,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_187372]) ).

tcf(c_248855,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248398,c_186666]) ).

tcf(c_248858,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_12),X0)
      | ( sK0(p(iPr_def_12),X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_12),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_12),X0)) ),
    inference(superposition,[status(thm)],[c_248398,c_181359]) ).

tcf(c_248867,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(m(iPr_def_12,X0)))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_248398,c_205213]) ).

tcf(c_248907,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_19,X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(light_normalisation,[status(thm)],[c_248858,c_665]) ).

tcf(c_248918,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_202827]) ).

tcf(c_248919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_202514]) ).

tcf(c_248920,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_202427]) ).

tcf(c_248921,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_202290]) ).

tcf(c_248922,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_202176]) ).

tcf(c_248924,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_248399,c_52]) ).

tcf(c_248931,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_15),X0)
      | ( sK0(p(iPr_def_15),X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(sK0(p(iPr_def_15),X0)))) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_15),X0)) ),
    inference(superposition,[status(thm)],[c_248399,c_181359]) ).

tcf(c_248935,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_182657]) ).

tcf(c_248936,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_182420]) ).

tcf(c_248937,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_248399,c_182362]) ).

tcf(c_249005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(sK0(iPr_def_10,m(X0,X1))))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216996]) ).

tcf(c_249006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,p(s(m(X0,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216996]) ).

tcf(c_249008,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_206280,c_216996]) ).

tcf(c_249009,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ mem(e,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_216996,c_49]) ).

tcf(c_249012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216996,c_181283]) ).

tcf(c_249013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216996,c_183900]) ).

tcf(c_249036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(u(iPr_def_12,X0),X1)),p(X2)) = u(u(iPr_def_12,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_247598]) ).

tcf(c_249037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(u(iPr_def_12,X1),X2))
      | ~ mem(X0,u(u(iPr_def_12,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_247598]) ).

tcf(c_249039,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(u(iPr_def_12,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_12,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_247598]) ).

tcf(c_249040,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_12,X0),X1))
      | ( sK0(s(u(u(iPr_def_12,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_12,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_12,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_247598]) ).

tcf(c_249041,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_12,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_12,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_247598]) ).

tcf(c_249043,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(u(iPr_def_12,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_247598]) ).

tcf(c_249044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_12,X0),X1))
      | mem(iPr_def_10,m(u(u(iPr_def_12,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_12,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_247598]) ).

tcf(c_249046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_12,X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_247598]) ).

tcf(c_249047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_12,X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_247598]) ).

tcf(c_249123,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(u(iPr_def_14,X0),X1)),p(X2)) = u(u(iPr_def_14,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_247607]) ).

tcf(c_249124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(u(iPr_def_14,X1),X2))
      | ~ mem(X0,u(u(iPr_def_14,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_247607]) ).

tcf(c_249126,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(u(iPr_def_14,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_14,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_247607]) ).

tcf(c_249127,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(iPr_def_14,X0),X1))
      | ( sK0(s(u(u(iPr_def_14,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_14,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_14,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_247607]) ).

tcf(c_249128,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(iPr_def_14,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_14,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_247607]) ).

tcf(c_249129,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(u(iPr_def_14,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_14,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_247607]) ).

tcf(c_249130,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(u(iPr_def_14,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_247607]) ).

tcf(c_249131,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_14,X0),X1))
      | mem(iPr_def_13,m(u(u(iPr_def_14,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_14,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_247607]) ).

tcf(c_249133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_14,X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_247607]) ).

tcf(c_249134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_14,X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_247607]) ).

tcf(c_249240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(u(iPr_def_16,X0),X1)),p(X2)) = u(u(iPr_def_16,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_247616]) ).

tcf(c_249241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(u(iPr_def_16,X1),X2))
      | ~ mem(X0,u(u(iPr_def_16,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_247616]) ).

tcf(c_249246,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(u(iPr_def_16,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_16,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_247616]) ).

tcf(c_249247,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(u(iPr_def_16,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_247616]) ).

tcf(c_249248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_16,X0),X1))
      | mem(iPr_def_12,m(u(u(iPr_def_16,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_16,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_247616]) ).

tcf(c_249250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,p(s(u(u(iPr_def_16,X2),X3)))) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_206280,c_247616]) ).

tcf(c_249251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,p(s(u(iPr_def_16,X3)))) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_206280,c_247616]) ).

tcf(c_249331,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,p(s(m(iPr_def_16,X1)))) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206280,c_247639]) ).

tcf(c_249366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(u(iPr_def_15,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239693,c_51]) ).

tcf(c_249369,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(u(iPr_def_15,X1),X2))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_239693,c_187127]) ).

tcf(c_249420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ~ subq(u(u(iPr_def_20,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239868,c_51]) ).

tcf(c_249421,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_20,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239868,c_234973]) ).

tcf(c_249423,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_20,m(X0,u(u(iPr_def_20,X1),X2))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239868,c_187680]) ).

tcf(c_249428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(u(iPr_def_21,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_239967,c_51]) ).

tcf(c_249429,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,p(s(u(u(iPr_def_21,X0),X1)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_239967,c_234973]) ).

tcf(c_249431,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(iPr_def_21,X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_239967,c_189953]) ).

tcf(c_249437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ~ subq(u(u(iPr_def_21,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_240059,c_51]) ).

tcf(c_249440,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_17,m(X0,u(u(iPr_def_21,X1),X2))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_240059,c_187546]) ).

tcf(c_249443,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 ) ),
    inference(global_subsumption_just,[status(thm)],[c_248400,c_1179,c_4071,c_4898,c_176290,c_217186]) ).

tcf(c_249448,plain,
    ! [X0: $i] : sK0(iPr_def_20,p(s(X0))) = iPr_def_19,
    inference(forward_subsumption_resolution,[status(thm)],[c_249443,c_234973]) ).

tcf(c_249475,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ~ mem(iPr_def_19,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_249448,c_49]) ).

tcf(c_249477,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ~ subq(iPr_def_19,s(X0)) ),
    inference(superposition,[status(thm)],[c_249448,c_181012]) ).

tcf(c_249478,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_249448,c_181283]) ).

tcf(c_249480,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(s(X0))) ),
    inference(superposition,[status(thm)],[c_249448,c_188300]) ).

tcf(c_249482,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(s(X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_249448,c_183272]) ).

tcf(c_249495,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_21 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248385,c_110813]) ).

tcf(c_249507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(X0,X1))
      | ( sK0(iPr_def_10,m(X1,X2)) = e )
      | ~ mem(e,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_216997,c_49]) ).

tcf(c_249510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X3,X1))
      | ( sK0(iPr_def_10,m(X1,X2)) = e )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216997,c_181283]) ).

tcf(c_249511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X3,X1))
      | ( sK0(iPr_def_10,m(X1,X2)) = e )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216997,c_183900]) ).

tcf(c_249512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(X0,X1))
      | ( sK0(iPr_def_10,m(X2,X0)) = e )
      | ~ mem(e,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_216997,c_49]) ).

tcf(c_249515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X3))
      | ( sK0(iPr_def_10,m(X1,X2)) = e )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216997,c_181283]) ).

tcf(c_249516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X3))
      | ( sK0(iPr_def_10,m(X1,X2)) = e )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216997,c_183900]) ).

tcf(c_249517,plain,
    ! [X0: $i] :
      ( ( sK0(iPr_def_10,m(X0,X0)) = e )
      | ( e != e ) ),
    inference(equality_factoring,[status(thm)],[c_216997]) ).

tcf(c_249519,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(X0,X0)) = e,
    inference(equality_resolution_simp,[status(thm)],[c_249517]) ).

tcf(c_249546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(s(u(u(iPr_def_17,X0),X1)),p(X2)) = u(u(iPr_def_17,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_248336]) ).

tcf(c_249547,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,p(X0))
      | atleast2p(u(u(iPr_def_17,X1),X2))
      | ~ mem(X0,u(u(iPr_def_17,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_248336]) ).

tcf(c_249549,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(u(iPr_def_17,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_17,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_248336]) ).

tcf(c_249550,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(u(iPr_def_17,X0),X1))
      | ( sK0(s(u(u(iPr_def_17,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_17,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_17,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_248336]) ).

tcf(c_249551,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(u(iPr_def_17,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_17,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_248336]) ).

tcf(c_249552,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(u(iPr_def_17,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_17,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_248336]) ).

tcf(c_249553,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(u(u(iPr_def_17,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_248336]) ).

tcf(c_249554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_17,X0),X1))
      | mem(iPr_def_16,m(u(u(iPr_def_17,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_17,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_248336]) ).

tcf(c_249587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(s(u(u(iPr_def_18,X0),X1)),p(X2)) = u(u(iPr_def_18,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_248345]) ).

tcf(c_249588,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,p(X0))
      | atleast2p(u(u(iPr_def_18,X1),X2))
      | ~ mem(X0,u(u(iPr_def_18,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_248345]) ).

tcf(c_249590,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(u(iPr_def_18,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_18,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_248345]) ).

tcf(c_249591,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(u(iPr_def_18,X0),X1))
      | ( sK0(s(u(u(iPr_def_18,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_18,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_18,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_248345]) ).

tcf(c_249592,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(u(iPr_def_18,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_18,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_248345]) ).

tcf(c_249593,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(u(iPr_def_18,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_18,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_248345]) ).

tcf(c_249594,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(u(u(iPr_def_18,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_248345]) ).

tcf(c_249595,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_18,X0),X1))
      | mem(iPr_def_16,m(u(u(iPr_def_18,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_18,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_248345]) ).

tcf(c_249629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(u(iPr_def_18,X0),X1)),p(X2)) = u(u(iPr_def_18,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_248354]) ).

tcf(c_249630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(u(iPr_def_18,X1),X2))
      | ~ mem(X0,u(u(iPr_def_18,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_248354]) ).

tcf(c_249635,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(u(iPr_def_18,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_18,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_248354]) ).

tcf(c_249636,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(u(iPr_def_18,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_248354]) ).

tcf(c_249637,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_18,X0),X1))
      | mem(iPr_def_12,m(u(u(iPr_def_18,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_18,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_248354]) ).

tcf(c_249657,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(u(iPr_def_15,X0),X1)),p(X2)) = u(u(iPr_def_15,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_248366]) ).

tcf(c_249658,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(u(iPr_def_15,X1),X2))
      | ~ mem(X0,u(u(iPr_def_15,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_248366]) ).

tcf(c_249660,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(u(iPr_def_15,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_15,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_248366]) ).

tcf(c_249661,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_15,X0),X1))
      | ( sK0(s(u(u(iPr_def_15,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_15,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_248366]) ).

tcf(c_249662,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_15,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_15,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_248366]) ).

tcf(c_249664,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(u(iPr_def_15,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_248366]) ).

tcf(c_249665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_15,X0),X1))
      | mem(iPr_def_10,m(u(u(iPr_def_15,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_15,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_248366]) ).

tcf(c_249700,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( u(iPr_def_21,X0) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_240062,c_202915]) ).

tcf(c_249705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ~ subq(u(u(iPr_def_21,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_240134,c_51]) ).

tcf(c_249707,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_20,m(X0,u(u(iPr_def_21,X1),X2))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_240134,c_187680]) ).

tcf(c_249719,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( u(iPr_def_21,X0) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_240137,c_202915]) ).

tcf(c_249724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(u(iPr_def_21,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_240317,c_51]) ).

tcf(c_249726,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(iPr_def_21,X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_240317,c_187219]) ).

tcf(c_249727,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(iPr_def_21,X0),X1))
      | subq(u(u(iPr_def_21,X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_240317,c_181263]) ).

tcf(c_249753,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X1))
      | ( sK0(iPr_def_10,X1) = e )
      | ~ mem(e,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_216998,c_49]) ).

tcf(c_249756,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X1))
      | ( sK0(iPr_def_10,X1) = e )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_216998,c_181283]) ).

tcf(c_249757,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X1))
      | ( sK0(iPr_def_10,X1) = e )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_216998,c_183900]) ).

tcf(c_249773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(u(iPr_def_15,X0),X1)),p(X2)) = u(u(iPr_def_15,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249366]) ).

tcf(c_249774,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(u(iPr_def_15,X1),X2))
      | ~ mem(X0,u(u(iPr_def_15,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249366]) ).

tcf(c_249776,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(u(iPr_def_15,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_15,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249366]) ).

tcf(c_249777,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(iPr_def_15,X0),X1))
      | ( sK0(s(u(u(iPr_def_15,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_15,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249366]) ).

tcf(c_249778,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(iPr_def_15,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_15,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249366]) ).

tcf(c_249779,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(u(iPr_def_15,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_15,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_249366]) ).

tcf(c_249780,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(u(iPr_def_15,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249366]) ).

tcf(c_249781,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_15,X0),X1))
      | mem(iPr_def_13,m(u(u(iPr_def_15,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_15,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249366]) ).

tcf(c_249815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(s(u(u(iPr_def_20,X0),X1)),p(X2)) = u(u(iPr_def_20,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249420]) ).

tcf(c_249816,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,p(X0))
      | atleast2p(u(u(iPr_def_20,X1),X2))
      | ~ mem(X0,u(u(iPr_def_20,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249420]) ).

tcf(c_249818,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(u(iPr_def_20,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_20,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249420]) ).

tcf(c_249819,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(u(iPr_def_20,X0),X1))
      | ( sK0(s(u(u(iPr_def_20,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_20,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249420]) ).

tcf(c_249820,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(u(iPr_def_20,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_20,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249420]) ).

tcf(c_249821,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(u(iPr_def_20,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_20,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_249420]) ).

tcf(c_249822,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(u(u(iPr_def_20,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249420]) ).

tcf(c_249823,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_20,X0),X1))
      | mem(iPr_def_19,m(u(u(iPr_def_20,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_20,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249420]) ).

tcf(c_249856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(X2)) = u(u(iPr_def_21,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249428]) ).

tcf(c_249857,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(u(iPr_def_21,X1),X2))
      | ~ mem(X0,u(u(iPr_def_21,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249428]) ).

tcf(c_249859,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_21,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249428]) ).

tcf(c_249860,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_21,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249428]) ).

tcf(c_249861,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_21,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249428]) ).

tcf(c_249863,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(u(iPr_def_21,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249428]) ).

tcf(c_249864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_21,X0),X1))
      | mem(iPr_def_10,m(u(u(iPr_def_21,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_21,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249428]) ).

tcf(c_249902,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(X2)) = u(u(iPr_def_21,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249437]) ).

tcf(c_249903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,p(X0))
      | atleast2p(u(u(iPr_def_21,X1),X2))
      | ~ mem(X0,u(u(iPr_def_21,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249437]) ).

tcf(c_249905,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_21,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249437]) ).

tcf(c_249906,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_21,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249437]) ).

tcf(c_249907,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_21,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249437]) ).

tcf(c_249908,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_21,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_249437]) ).

tcf(c_249909,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(u(u(iPr_def_21,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249437]) ).

tcf(c_249910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_21,X0),X1))
      | mem(iPr_def_16,m(u(u(iPr_def_21,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_21,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249437]) ).

tcf(c_249959,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( u(iPr_def_21,X0) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_21,X0)),p(iPr_def_21)) = u(iPr_def_21,X0) ) ),
    inference(superposition,[status(thm)],[c_240320,c_202915]) ).

tcf(c_249980,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(u(iPr_def_21,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_240351,c_51]) ).

tcf(c_249982,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(u(iPr_def_21,X1),X2))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_240351,c_187127]) ).

tcf(c_249985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(u(iPr_def_13,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_240443,c_51]) ).

tcf(c_249987,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(iPr_def_13,X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_240443,c_189953]) ).

tcf(c_250065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(u(iPr_def_13,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_240484,c_51]) ).

tcf(c_250067,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(u(iPr_def_13,X1),X2))) = e,
    inference(superposition,[status(thm)],[c_240484,c_185755]) ).

tcf(c_250070,plain,
    sK0(iPr_def_20,p(s(p(e)))) = iPr_def_19,
    inference(global_subsumption_just,[status(thm)],[c_248599,c_109200]) ).

tcf(c_250078,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_241064,c_51]) ).

tcf(c_250079,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ~ mem(iPr_def_10,X0)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241064,c_61]) ).

tcf(c_250080,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241064,c_60]) ).

tcf(c_250081,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_16,X0))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241064,c_189953]) ).

tcf(c_250082,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_241064,c_221620]) ).

tcf(c_250083,plain,
    ( subq(iPr_def_12,m(iPr_def_16,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_241064,c_221064]) ).

tcf(c_250084,plain,
    ( subq(iPr_def_12,m(iPr_def_16,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_241064,c_221090]) ).

tcf(c_250085,plain,
    ( subq(iPr_def_12,m(iPr_def_16,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_241064,c_221423]) ).

tcf(c_250120,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_241065,c_51]) ).

tcf(c_250121,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ~ mem(iPr_def_13,X0)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241065,c_61]) ).

tcf(c_250122,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241065,c_60]) ).

tcf(c_250123,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_16,X0))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241065,c_187127]) ).

tcf(c_250124,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_241065,c_218478]) ).

tcf(c_250125,plain,
    ( subq(iPr_def_14,m(iPr_def_16,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_241065,c_219047]) ).

tcf(c_250126,plain,
    ( subq(iPr_def_14,m(iPr_def_16,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_241065,c_219069]) ).

tcf(c_250161,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241818]) ).

tcf(c_250162,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_18,X1))
      | mem(iPr_def_10,p(X0))
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ mem(X0,m(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241818]) ).

tcf(c_250165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_21)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_241818]) ).

tcf(c_250166,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(iPr_def_17,m(iPr_def_18,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_241818]) ).

tcf(c_250169,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_18,X0),X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_241818]) ).

tcf(c_250170,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_18,X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_241818]) ).

tcf(c_250202,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241850]) ).

tcf(c_250203,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_18,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ mem(X0,m(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241850]) ).

tcf(c_250206,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_21)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_241850]) ).

tcf(c_250207,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(iPr_def_17,m(iPr_def_18,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_241850]) ).

tcf(c_250210,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_18,X0),X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_241850]) ).

tcf(c_250211,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_18,X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_241850]) ).

tcf(c_250241,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241950]) ).

tcf(c_250242,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_18,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ mem(X0,m(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241950]) ).

tcf(c_250245,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_21)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_241950]) ).

tcf(c_250246,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(iPr_def_17,m(iPr_def_18,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_241950]) ).

tcf(c_250249,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_18,X0),X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_241950]) ).

tcf(c_250250,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_18,X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_241950]) ).

tcf(c_250280,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( sK0(s(iPr_def_19),m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_198896,c_249475]) ).

tcf(c_250281,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( sK0(s(iPr_def_19),p(s(X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_182860,c_249475]) ).

tcf(c_250283,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( sK0(s(p(s(X0))),p(iPr_def_21)) = p(s(X0)) )
      | ~ atleast3p(p(s(X0))) ),
    inference(superposition,[status(thm)],[c_201860,c_249475]) ).

tcf(c_250284,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,p(s(X0)))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_187681,c_249475]) ).

tcf(c_250285,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | subq(iPr_def_20,p(s(X0)))
      | ( sK0(iPr_def_14,p(s(X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_186709,c_249475]) ).

tcf(c_250287,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | subq(iPr_def_20,p(s(X0)))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(s(X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_186707,c_249475]) ).

tcf(c_250288,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,p(s(X0)))
      | ~ mem(s(X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_182106,c_249475]) ).

tcf(c_250289,plain,
    ( subq(iPr_def_20,p(s(e)))
    | ~ mem(iPr_def_19,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_656,c_249475]) ).

tcf(c_250290,plain,
    ( subq(iPr_def_20,p(s(iPr_def_13)))
    | ~ mem(iPr_def_19,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_193293,c_249475]) ).

tcf(c_250294,plain,
    ( subq(iPr_def_20,p(s(iPr_def_16)))
    | ~ mem(iPr_def_19,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_192554,c_249475]) ).

tcf(c_250296,plain,
    ( subq(iPr_def_20,p(s(iPr_def_19)))
    | ~ mem(iPr_def_19,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_666,c_249475]) ).

tcf(c_250297,plain,
    ( subq(iPr_def_20,p(s(iPr_def_10)))
    | ~ mem(iPr_def_19,p(iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_183366,c_249475]) ).

tcf(c_250330,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(X2)) = u(u(iPr_def_21,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249705]) ).

tcf(c_250331,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,p(X0))
      | atleast2p(u(u(iPr_def_21,X1),X2))
      | ~ mem(X0,u(u(iPr_def_21,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249705]) ).

tcf(c_250333,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_21,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249705]) ).

tcf(c_250334,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_21,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249705]) ).

tcf(c_250335,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_21,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249705]) ).

tcf(c_250336,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_21,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_249705]) ).

tcf(c_250337,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(u(u(iPr_def_21,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249705]) ).

tcf(c_250338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_21,X0),X1))
      | mem(iPr_def_19,m(u(u(iPr_def_21,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_21,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249705]) ).

tcf(c_250401,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(X2)) = u(u(iPr_def_21,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249724]) ).

tcf(c_250402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(u(iPr_def_21,X1),X2))
      | ~ mem(X0,u(u(iPr_def_21,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249724]) ).

tcf(c_250407,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_21,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_249724]) ).

tcf(c_250408,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(u(iPr_def_21,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249724]) ).

tcf(c_250409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_21,X0),X1))
      | mem(iPr_def_12,m(u(u(iPr_def_21,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_21,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249724]) ).

tcf(c_250449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(X2)) = u(u(iPr_def_21,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249980]) ).

tcf(c_250450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(u(iPr_def_21,X1),X2))
      | ~ mem(X0,u(u(iPr_def_21,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249980]) ).

tcf(c_250452,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_21,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249980]) ).

tcf(c_250453,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(s(u(u(iPr_def_21,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_21,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_21,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249980]) ).

tcf(c_250454,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_21,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249980]) ).

tcf(c_250455,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(u(iPr_def_21,X0),X1))
      | ( sK0(iPr_def_14,p(u(u(iPr_def_21,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_249980]) ).

tcf(c_250456,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(u(iPr_def_21,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249980]) ).

tcf(c_250457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_21,X0),X1))
      | mem(iPr_def_13,m(u(u(iPr_def_21,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_21,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249980]) ).

tcf(c_250521,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast2p(iPr_def_16)
      | ~ subq(u(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_231161,c_51]) ).

tcf(c_250522,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | mem(iPr_def_16,X0)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231161,c_58]) ).

tcf(c_250523,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X0,u(iPr_def_16,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231161,c_187546]) ).

tcf(c_250608,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast2p(iPr_def_17)
      | ~ subq(u(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_231167,c_51]) ).

tcf(c_250609,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | mem(iPr_def_12,X0)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_231167,c_58]) ).

tcf(c_250610,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X0,u(iPr_def_17,X1))) = iPr_def_12 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_231167,c_187219]) ).

tcf(c_250611,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_17,X0))
      | subq(u(iPr_def_17,X0),iPr_def_19)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_231167,c_181263]) ).

tcf(c_250638,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(u(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_231180,c_51]) ).

tcf(c_250639,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | mem(iPr_def_16,X0)
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231180,c_58]) ).

tcf(c_250640,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X0,u(iPr_def_15,X1))) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231180,c_187546]) ).

tcf(c_250655,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241975]) ).

tcf(c_250656,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_18,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ mem(X0,m(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_241975]) ).

tcf(c_250663,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_18,X0),X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_241975]) ).

tcf(c_250664,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_18,X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_241975]) ).

tcf(c_250685,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_21)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_241979,c_202827]) ).

tcf(c_250691,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_18,X0))
      | ( m(iPr_def_18,X0) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0))
      | ~ subq(iPr_def_19,m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_241979,c_52]) ).

tcf(c_250693,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_241979,c_241950]) ).

tcf(c_250694,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_241979,c_241850]) ).

tcf(c_250695,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_241979,c_241818]) ).

tcf(c_250732,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_18,X0)),p(X1)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_242006]) ).

tcf(c_250733,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_18,X1))
      | mem(iPr_def_13,p(X0))
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ mem(X0,m(iPr_def_18,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_242006]) ).

tcf(c_250737,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ( sK0(iPr_def_17,m(iPr_def_18,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_242006]) ).

tcf(c_250740,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_18,X0),X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_242006]) ).

tcf(c_250741,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_18,X1))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_242006]) ).

tcf(c_250746,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_18,X0))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_241979,c_242006]) ).

tcf(c_250822,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_15,X0)),p(X1)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_243949]) ).

tcf(c_250823,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_15,X1))
      | mem(iPr_def_10,p(X0))
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ mem(X0,m(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_243949]) ).

tcf(c_250826,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_21)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_243949]) ).

tcf(c_250827,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_243949]) ).

tcf(c_250830,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_15,X0),X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_243949]) ).

tcf(c_250831,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_15,X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_243949]) ).

tcf(c_250889,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_15,X0)),p(X1)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_243979]) ).

tcf(c_250890,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_15,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ mem(X0,m(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_243979]) ).

tcf(c_250893,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_21)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_243979]) ).

tcf(c_250894,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_243979]) ).

tcf(c_250897,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_15,X0),X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_243979]) ).

tcf(c_250898,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_15,X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_243979]) ).

tcf(c_250929,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_15,X0)),p(X1)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244084]) ).

tcf(c_250930,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_15,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ mem(X0,m(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_244084]) ).

tcf(c_250933,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_21)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_244084]) ).

tcf(c_250934,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_244084]) ).

tcf(c_250937,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_15,X0),X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_244084]) ).

tcf(c_250938,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_15,X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_244084]) ).

tcf(c_250978,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ mem(e,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_217799,c_49]) ).

tcf(c_250981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_217799,c_181283]) ).

tcf(c_250982,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X2,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_217799,c_183900]) ).

tcf(c_251039,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(u(iPr_def_13,X0),X1)),p(X2)) = u(u(iPr_def_13,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_249985]) ).

tcf(c_251040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(u(iPr_def_13,X1),X2))
      | ~ mem(X0,u(u(iPr_def_13,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_249985]) ).

tcf(c_251042,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(u(iPr_def_13,X0),X1))
      | ( sK0(iPr_def_20,p(u(u(iPr_def_13,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_249985]) ).

tcf(c_251043,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_13,X0),X1))
      | ( sK0(s(u(u(iPr_def_13,X0),X1)),p(iPr_def_21)) = u(u(iPr_def_13,X0),X1) )
      | ~ atleast3p(u(u(iPr_def_13,X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_249985]) ).

tcf(c_251044,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(iPr_def_13,X0),X1))
      | ( sK0(iPr_def_17,u(u(iPr_def_13,X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_249985]) ).

tcf(c_251046,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(u(iPr_def_13,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_249985]) ).

tcf(c_251047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_13,X0),X1))
      | mem(iPr_def_10,m(u(u(iPr_def_13,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_13,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_249985]) ).

tcf(c_251130,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(u(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_231181,c_51]) ).

tcf(c_251131,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231181,c_58]) ).

tcf(c_251132,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X0,u(iPr_def_15,X1))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231181,c_187680]) ).

tcf(c_251146,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(u(iPr_def_15,X0),X1) ),
    inference(superposition,[status(thm)],[c_231182,c_51]) ).

tcf(c_251147,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231182,c_58]) ).

tcf(c_251148,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X0,u(iPr_def_15,X1))) = iPr_def_12 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231182,c_187219]) ).

tcf(c_251149,plain,
    ! [X0: $i] :
      ( atleast2p(u(iPr_def_15,X0))
      | subq(u(iPr_def_15,X0),iPr_def_19)
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231182,c_181263]) ).

tcf(c_251165,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X1)
      | ~ subq(u(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_231184,c_51]) ).

tcf(c_251167,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_20,X1))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_231184,c_189953]) ).

tcf(c_251178,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X1)
      | ~ subq(u(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_231185,c_51]) ).

tcf(c_251180,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_20,X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_231185,c_187127]) ).

tcf(c_251192,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_15,X0)),p(X1)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244109]) ).

tcf(c_251193,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_15,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ mem(X0,m(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_244109]) ).

tcf(c_251200,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_15,X0),X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_244109]) ).

tcf(c_251201,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_15,X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_244109]) ).

tcf(c_251222,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_21)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_244113,c_202827]) ).

tcf(c_251228,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_15,X0))
      | ( m(iPr_def_15,X0) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0))
      | ~ subq(iPr_def_19,m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_244113,c_52]) ).

tcf(c_251230,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_244113,c_244084]) ).

tcf(c_251231,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_244113,c_243979]) ).

tcf(c_251232,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_244113,c_243949]) ).

tcf(c_251324,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_15,X0)),p(X1)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244142]) ).

tcf(c_251325,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_15,X1))
      | mem(iPr_def_13,p(X0))
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ mem(X0,m(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_244142]) ).

tcf(c_251329,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_244142]) ).

tcf(c_251332,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_15,X0),X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_244142]) ).

tcf(c_251333,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_15,X1))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_244142]) ).

tcf(c_251336,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_15,X0))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_244113,c_244142]) ).

tcf(c_251403,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_16,X0)),p(X1)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244684]) ).

tcf(c_251404,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_16,X1))
      | mem(iPr_def_10,p(X0))
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ mem(X0,m(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_244684]) ).

tcf(c_251407,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_244684]) ).

tcf(c_251408,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_244684]) ).

tcf(c_251411,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_16,X0),X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_244684]) ).

tcf(c_251412,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_16,X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_244684]) ).

tcf(c_251414,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_244684]) ).

tcf(c_251478,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_16,X0)),p(X1)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244912]) ).

tcf(c_251479,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_16,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ mem(X0,m(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_244912]) ).

tcf(c_251482,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_244912]) ).

tcf(c_251483,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_244912]) ).

tcf(c_251486,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_16,X0),X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_244912]) ).

tcf(c_251487,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_16,X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_244912]) ).

tcf(c_251576,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_16,X0)),p(X1)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244940]) ).

tcf(c_251577,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_16,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ mem(X0,m(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_244940]) ).

tcf(c_251580,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_244940]) ).

tcf(c_251581,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_244940]) ).

tcf(c_251584,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_16,X0),X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_244940]) ).

tcf(c_251585,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_16,X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_244940]) ).

tcf(c_251587,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_244940]) ).

tcf(c_251687,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(p(p(e)),X0))
      | ~ mem(iPr_def_19,m(p(p(e)),X0)) ),
    inference(superposition,[status(thm)],[c_218076,c_49]) ).

tcf(c_251689,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(p(e)),X1))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_218076,c_181283]) ).

tcf(c_251691,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(p(e)),X0)) ),
    inference(superposition,[status(thm)],[c_218076,c_188300]) ).

tcf(c_251693,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(p(e)),X1))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218076,c_183272]) ).

tcf(c_251711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(u(iPr_def_13,X0),X1)),p(X2)) = u(u(iPr_def_13,X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_250065]) ).

tcf(c_251712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(u(iPr_def_13,X1),X2))
      | ~ mem(X0,u(u(iPr_def_13,X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_250065]) ).

tcf(c_251718,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(u(iPr_def_13,X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_250065]) ).

tcf(c_251719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(iPr_def_13,X0),X1))
      | mem(e,m(u(u(iPr_def_13,X0),X1),X2))
      | ~ atleast2p(m(u(u(iPr_def_13,X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_250065]) ).

tcf(c_251734,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_21 )
      | ( sK0(s(iPr_def_21),p(m(iPr_def_18,X0))) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_240507]) ).

tcf(c_251735,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_21 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_21)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_201240,c_240507]) ).

tcf(c_251752,plain,
    ( atleast3p(p(iPr_def_10))
    | subq(p(iPr_def_10),iPr_def_20)
    | ~ atleast2p(iPr_def_20)
    | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_233326,c_65]) ).

tcf(c_251753,plain,
    ( ( p(iPr_def_10) = iPr_def_20 )
    | ~ subq(iPr_def_19,iPr_def_10)
    | ~ subq(p(iPr_def_10),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_233326,c_52]) ).

tcf(c_251755,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,p(iPr_def_10))
    | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_233326,c_186577]) ).

tcf(c_251756,plain,
    ( mem(iPr_def_19,p(iPr_def_10))
    | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_233326,c_181293]) ).

tcf(c_251778,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_241531,c_51]) ).

tcf(c_251780,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(s(iPr_def_12),X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_241531,c_187219]) ).

tcf(c_251781,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(s(iPr_def_12),X0),X1))
      | subq(u(u(s(iPr_def_12),X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_241531,c_181263]) ).

tcf(c_251782,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(u(s(e),X1),X2))) = e,
    inference(superposition,[status(thm)],[c_241531,c_185755]) ).

tcf(c_251783,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(u(s(iPr_def_13),X1),X2))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_241531,c_187127]) ).

tcf(c_251784,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_17,m(X0,u(u(s(iPr_def_16),X1),X2))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_241531,c_187546]) ).

tcf(c_251785,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_20,m(X0,u(u(s(iPr_def_19),X1),X2))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_241531,c_187680]) ).

tcf(c_251786,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(s(iPr_def_10),X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_241531,c_189953]) ).

tcf(c_251805,plain,
    ( atleast3p(p(iPr_def_10))
    | subq(p(iPr_def_10),iPr_def_16)
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_242280,c_65]) ).

tcf(c_251806,plain,
    ( ( p(iPr_def_10) = iPr_def_16 )
    | ~ subq(iPr_def_12,iPr_def_10)
    | ~ subq(p(iPr_def_10),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_242280,c_52]) ).

tcf(c_251808,plain,
    ( mem(iPr_def_16,p(iPr_def_10))
    | ~ atleast2p(iPr_def_16)
    | ~ subq(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_242280,c_183780]) ).

tcf(c_251809,plain,
    ( mem(iPr_def_12,p(iPr_def_10))
    | ~ subq(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_242280,c_181291]) ).

tcf(c_251822,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(u(p(iPr_def_10),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_242460,c_51]) ).

tcf(c_251824,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(p(iPr_def_10),X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_242460,c_189953]) ).

tcf(c_251837,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_16,X0)),p(X1)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_245047]) ).

tcf(c_251838,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_16,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ mem(X0,m(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_245047]) ).

tcf(c_251845,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_16,X0),X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_245047]) ).

tcf(c_251846,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_16,X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_245047]) ).

tcf(c_251866,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_245051,c_202827]) ).

tcf(c_251872,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_16,X0))
      | ( m(iPr_def_16,X0) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0))
      | ~ subq(iPr_def_19,m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_245051,c_52]) ).

tcf(c_251874,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_245051,c_244940]) ).

tcf(c_251875,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_245051,c_244912]) ).

tcf(c_251876,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_245051,c_244684]) ).

tcf(c_251974,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_16,X0)),p(X1)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_245115]) ).

tcf(c_251975,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_16,X1))
      | mem(iPr_def_13,p(X0))
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ mem(X0,m(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_245115]) ).

tcf(c_251979,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_245115]) ).

tcf(c_251982,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_16,X0),X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_245115]) ).

tcf(c_251983,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_16,X1))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_245115]) ).

tcf(c_251985,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_231927,c_245115]) ).

tcf(c_251987,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_16,X0))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_245051,c_245115]) ).

tcf(c_252019,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_16,X0))
      | ~ subq(m(iPr_def_16,X0),X1) ),
    inference(superposition,[status(thm)],[c_241061,c_51]) ).

tcf(c_252020,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ~ mem(iPr_def_13,X0)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241061,c_61]) ).

tcf(c_252021,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_16)
      | mem(iPr_def_12,iPr_def_13)
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241061,c_60]) ).

tcf(c_252022,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_16,X0))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_241061,c_187127]) ).

tcf(c_252023,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast2p(m(iPr_def_16,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_241061,c_218478]) ).

tcf(c_252024,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,m(iPr_def_16,iPr_def_15))
    | ~ atleast2p(m(iPr_def_16,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_241061,c_219047]) ).

tcf(c_252025,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,m(iPr_def_16,iPr_def_21))
    | ~ atleast2p(m(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_241061,c_219069]) ).

tcf(c_252068,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_218513,c_49]) ).

tcf(c_252071,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X1,X0))
      | ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_218513,c_187457]) ).

tcf(c_252074,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X2,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218513,c_181283]) ).

tcf(c_252075,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X2,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218513,c_183681]) ).

tcf(c_252076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X2,X1))
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218513,c_182675]) ).

tcf(c_252096,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_18 )
      | ( sK0(s(iPr_def_18),p(m(iPr_def_16,X0))) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_198897,c_240528]) ).

tcf(c_252115,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | ( m(iPr_def_12,X0) = iPr_def_15 )
      | ~ atleast2p(m(iPr_def_12,X0))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_240573,c_52]) ).

tcf(c_252116,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_14,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_240573,c_212258]) ).

tcf(c_252117,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_12,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_240573,c_208625]) ).

tcf(c_252122,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_240573,c_181650]) ).

tcf(c_252132,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | ( m(iPr_def_12,X0) = iPr_def_15 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_252115,c_231985]) ).

tcf(c_252149,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ( sK0(s(iPr_def_15),p(m(iPr_def_12,X0))) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_198897,c_240574]) ).

tcf(c_252152,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_15 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_206350,c_240574]) ).

tcf(c_252163,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_21 )
      | ( sK0(s(iPr_def_21),p(m(iPr_def_15,X0))) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_242750]) ).

tcf(c_252164,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_21 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_21)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_201240,c_242750]) ).

tcf(c_252172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ~ subq(u(u(p(iPr_def_19),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_243338,c_51]) ).

tcf(c_252174,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_20,m(X0,u(u(p(iPr_def_19),X1),X2))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_243338,c_187680]) ).

tcf(c_252186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(u(p(iPr_def_13),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_243446,c_51]) ).

tcf(c_252188,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(u(p(iPr_def_13),X1),X2))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_243446,c_189953]) ).

tcf(c_252195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(u(p(iPr_def_13),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_243500,c_51]) ).

tcf(c_252197,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(p(iPr_def_13),X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_243500,c_187219]) ).

tcf(c_252198,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(p(iPr_def_13),X0),X1))
      | subq(u(u(p(iPr_def_13),X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_243500,c_181263]) ).

tcf(c_252240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(u(p(iPr_def_13),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_243580,c_51]) ).

tcf(c_252242,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(u(p(iPr_def_13),X1),X2))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_243580,c_187127]) ).

tcf(c_252272,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(X0,X1))
      | ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ~ mem(iPr_def_12,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_218514,c_49]) ).

tcf(c_252275,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(X1,X0))
      | ( sK0(iPr_def_17,p(X0)) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_218514,c_187457]) ).

tcf(c_252278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X2,X1))
      | ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_218514,c_181283]) ).

tcf(c_252279,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X2,X1))
      | ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_218514,c_183681]) ).

tcf(c_252280,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(X2,X1))
      | ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_218514,c_182675]) ).

tcf(c_252349,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | ( m(iPr_def_10,X0) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_10,X0))
      | ~ subq(m(iPr_def_10,X0),iPr_def_13) ),
    inference(superposition,[status(thm)],[c_243631,c_52]) ).

tcf(c_252354,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | atleast3p(iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_10,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_184450]) ).

tcf(c_252355,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_10,m(iPr_def_10,X0))
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_215191]) ).

tcf(c_252356,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_12,m(iPr_def_10,X0))
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_211808]) ).

tcf(c_252357,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(iPr_def_19,m(iPr_def_10,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_186861]) ).

tcf(c_252358,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_187427]) ).

tcf(c_252359,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_10,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_186839]) ).

tcf(c_252360,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(iPr_def_10,m(iPr_def_10,X0))
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_183332]) ).

tcf(c_252361,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | mem(e,m(iPr_def_10,X0))
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_243631,c_181444]) ).

tcf(c_252394,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | ( m(iPr_def_10,X0) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_252349,c_242571]) ).

tcf(c_252416,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),p(m(iPr_def_10,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_198897,c_243632]) ).

tcf(c_252417,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(m(iPr_def_10,X0)),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193589,c_243632]) ).

tcf(c_252418,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(m(iPr_def_10,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_187129,c_243632]) ).

tcf(c_252500,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_21 )
      | ( sK0(s(iPr_def_21),p(m(iPr_def_16,X0))) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_198897,c_243823]) ).

tcf(c_252501,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_21 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_21)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_201240,c_243823]) ).

tcf(c_252524,plain,
    ( atleast3p(p(iPr_def_10))
    | subq(p(iPr_def_10),iPr_def_17)
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_245761,c_65]) ).

tcf(c_252525,plain,
    ( ( p(iPr_def_10) = iPr_def_17 )
    | ~ subq(iPr_def_16,iPr_def_10)
    | ~ subq(p(iPr_def_10),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_245761,c_52]) ).

tcf(c_252528,plain,
    ( mem(iPr_def_13,p(iPr_def_10))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_245761,c_193438]) ).

tcf(c_252530,plain,
    ( mem(iPr_def_12,p(iPr_def_10))
    | ~ atleast2p(iPr_def_17)
    | ~ subq(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_245761,c_183155]) ).

tcf(c_252531,plain,
    ( mem(iPr_def_16,p(iPr_def_10))
    | ~ subq(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_245761,c_181292]) ).

tcf(c_252553,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_245927,c_202514]) ).

tcf(c_252554,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_245927,c_202427]) ).

tcf(c_252555,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | subq(iPr_def_19,X0)
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_245927,c_202290]) ).

tcf(c_252557,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_19,X0)
      | subq(iPr_def_15,sK0(iPr_def_19,X0))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_245927,c_65]) ).

tcf(c_252558,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_15 )
      | ~ subq(iPr_def_15,sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_245927,c_52]) ).

tcf(c_252559,plain,
    subq(iPr_def_19,p(iPr_def_15)),
    inference(superposition,[status(thm)],[c_245927,c_181012]) ).

tcf(c_252560,plain,
    ! [X0: $i] :
      ( subq(iPr_def_19,X0)
      | ( sK0(iPr_def_19,X0) = iPr_def_15 )
      | ( sK0(s(sK0(iPr_def_19,X0)),p(iPr_def_21)) = sK0(iPr_def_19,X0) )
      | ~ atleast3p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_245927,c_202127]) ).

tcf(c_252663,plain,
    ( mem(iPr_def_13,p(iPr_def_15))
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252559,c_202827]) ).

tcf(c_252665,plain,
    ( mem(iPr_def_19,p(iPr_def_15))
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252559,c_202427]) ).

tcf(c_252666,plain,
    ( mem(iPr_def_16,p(iPr_def_15))
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252559,c_202290]) ).

tcf(c_252667,plain,
    ( mem(iPr_def_10,p(iPr_def_15))
    | ( sK0(s(iPr_def_19),p(iPr_def_21)) = iPr_def_19 )
    | ~ atleast3p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252559,c_202176]) ).

tcf(c_252668,plain,
    ( atleast3p(p(iPr_def_15))
    | subq(p(iPr_def_15),iPr_def_19)
    | ~ atleast2p(iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252559,c_65]) ).

tcf(c_252669,plain,
    ( ( p(iPr_def_15) = iPr_def_19 )
    | ~ subq(p(iPr_def_15),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252559,c_52]) ).

tcf(c_252670,plain,
    ( atleast3p(iPr_def_15)
    | mem(iPr_def_15,p(iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_252559,c_184166]) ).

tcf(c_252671,plain,
    mem(iPr_def_12,p(iPr_def_15)),
    inference(superposition,[status(thm)],[c_252559,c_181295]) ).

tcf(c_252672,plain,
    mem(e,p(iPr_def_15)),
    inference(superposition,[status(thm)],[c_252559,c_181294]) ).

tcf(c_252678,plain,
    ( atleast3p(p(iPr_def_15))
    | subq(p(iPr_def_15),iPr_def_19) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_252668,c_188368]) ).

tcf(c_252685,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ subq(p(iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_252671,c_51]) ).

tcf(c_252687,plain,
    ! [X0: $i] : sK0(iPr_def_16,m(X0,p(iPr_def_15))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_252671,c_187219]) ).

tcf(c_252688,plain,
    ( atleast2p(p(iPr_def_15))
    | subq(p(iPr_def_15),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252671,c_181263]) ).

tcf(c_252712,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,X1))
      | ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ~ mem(iPr_def_10,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_220150,c_49]) ).

tcf(c_252714,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X1,X0))
      | ( sK0(iPr_def_16,p(X0)) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_220150,c_190419]) ).

tcf(c_252718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220150,c_181283]) ).

tcf(c_252719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220150,c_183073]) ).

tcf(c_252720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220150,c_182629]) ).

tcf(c_252721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220150,c_183665]) ).

tcf(c_252751,plain,
    ( atleast3p(p(iPr_def_15))
    | ( p(iPr_def_15) = iPr_def_19 )
    | ~ subq(iPr_def_19,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_252678,c_52]) ).

tcf(c_252752,plain,
    ( atleast3p(p(iPr_def_15))
    | atleast2p(s(iPr_def_15))
    | mem(iPr_def_15,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252678,c_210957]) ).

tcf(c_252753,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_15))
      | mem(X0,iPr_def_19)
      | ~ subq(X0,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_252678,c_181287]) ).

tcf(c_252760,plain,
    ( atleast3p(p(iPr_def_15))
    | ( p(iPr_def_15) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_252751,c_252559]) ).

tcf(c_252767,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ( sK0(s(p(iPr_def_15)),p(X0)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252685]) ).

tcf(c_252768,plain,
    ! [X0: $i] :
      ( atleast2p(p(iPr_def_15))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,p(iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_64,c_252685]) ).

tcf(c_252773,plain,
    ( atleast3p(p(iPr_def_15))
    | mem(iPr_def_12,iPr_def_13)
    | ( sK0(iPr_def_14,p(p(iPr_def_15))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_252685]) ).

tcf(c_252775,plain,
    ! [X0: $i] : mem(iPr_def_12,u(p(iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_230853,c_252685]) ).

tcf(c_252776,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_15))
      | mem(iPr_def_12,m(p(iPr_def_15),X0))
      | ~ atleast2p(m(p(iPr_def_15),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_252685]) ).

tcf(c_252794,plain,
    ( ( p(iPr_def_15) = iPr_def_19 )
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_19)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252669]) ).

tcf(c_252798,plain,
    ( atleast2p(p(iPr_def_15))
    | ( p(iPr_def_15) = iPr_def_19 )
    | ~ subq(iPr_def_12,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_185359,c_252669]) ).

tcf(c_252800,plain,
    ( atleast2p(p(iPr_def_15))
    | ( p(iPr_def_15) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_252798,c_182628]) ).

tcf(c_252811,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ~ subq(p(iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_252672,c_51]) ).

tcf(c_252813,plain,
    ! [X0: $i] : sK0(iPr_def_10,m(X0,p(iPr_def_15))) = e,
    inference(superposition,[status(thm)],[c_252672,c_185755]) ).

tcf(c_252816,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(p(iPr_def_15),X0),X1) ),
    inference(superposition,[status(thm)],[c_252775,c_51]) ).

tcf(c_252818,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(p(iPr_def_15),X1))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_252775,c_187219]) ).

tcf(c_252819,plain,
    ! [X0: $i] :
      ( atleast2p(u(p(iPr_def_15),X0))
      | subq(u(p(iPr_def_15),X0),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252775,c_181263]) ).

tcf(c_252824,plain,
    atleast2p(p(iPr_def_15)),
    inference(global_subsumption_just,[status(thm)],[c_252688,c_1670,c_35004,c_43540,c_100829,c_101030]) ).

tcf(c_252855,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(X0,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ mem(iPr_def_10,m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_220151,c_49]) ).

tcf(c_252857,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(X1,X0))
      | ( sK0(iPr_def_14,p(X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_220151,c_190419]) ).

tcf(c_252861,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_220151,c_181283]) ).

tcf(c_252862,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_220151,c_183073]) ).

tcf(c_252863,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_220151,c_182629]) ).

tcf(c_252864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(X2,X1))
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_220151,c_183665]) ).

tcf(c_252888,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | ( sK0(s(p(iPr_def_15)),p(X0)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252811]) ).

tcf(c_252896,plain,
    ! [X0: $i] : mem(e,u(p(iPr_def_15),X0)),
    inference(superposition,[status(thm)],[c_230853,c_252811]) ).

tcf(c_252897,plain,
    ! [X0: $i] :
      ( atleast3p(p(iPr_def_15))
      | mem(e,m(p(iPr_def_15),X0))
      | ~ atleast2p(m(p(iPr_def_15),X0)) ),
    inference(superposition,[status(thm)],[c_205212,c_252811]) ).

tcf(c_252909,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(p(iPr_def_15),X0)),p(X1)) = u(p(iPr_def_15),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252816]) ).

tcf(c_252910,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(p(iPr_def_15),X1))
      | ~ mem(X0,u(p(iPr_def_15),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_252816]) ).

tcf(c_252915,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(p(iPr_def_15),X0))
      | ( sK0(iPr_def_14,p(u(p(iPr_def_15),X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_252816]) ).

tcf(c_252916,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(p(iPr_def_15),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_252816]) ).

tcf(c_252917,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_15),X0))
      | mem(iPr_def_12,m(u(p(iPr_def_15),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_15),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_252816]) ).

tcf(c_252938,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(iPr_def_16,X0)),p(X1)) = u(iPr_def_16,X0) )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_198897,c_250521]) ).

tcf(c_252939,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_16,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast2p(iPr_def_16)
      | ~ mem(X0,u(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_250521]) ).

tcf(c_252941,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(iPr_def_16,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_16,X0))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_192265,c_250521]) ).

tcf(c_252942,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_16,X0))
      | ( sK0(s(u(iPr_def_16,X0)),p(iPr_def_21)) = u(iPr_def_16,X0) )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(u(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_250521]) ).

tcf(c_252943,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_16,X0))
      | ( sK0(iPr_def_17,u(iPr_def_16,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_185490,c_250521]) ).

tcf(c_252944,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(iPr_def_16,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_16,X0))) = iPr_def_13 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_191595,c_250521]) ).

tcf(c_252945,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(u(iPr_def_16,X0),X1))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_230853,c_250521]) ).

tcf(c_252946,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_16,X0))
      | mem(iPr_def_16,m(u(iPr_def_16,X0),X1))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(u(iPr_def_16,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_250521]) ).

tcf(c_252947,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231138,c_250521]) ).

tcf(c_252948,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_664,c_250521]) ).

tcf(c_253162,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(p(iPr_def_15),X0),X1) ),
    inference(superposition,[status(thm)],[c_252896,c_51]) ).

tcf(c_253164,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(p(iPr_def_15),X1))) = e,
    inference(superposition,[status(thm)],[c_252896,c_185755]) ).

tcf(c_253198,plain,
    ( ( iPr_def_12 = iPr_def_16 )
    | ( sK0(iPr_def_17,iPr_def_19) = iPr_def_16 )
    | ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_192554,c_221174]) ).

tcf(c_253202,plain,
    ! [X0: $i] :
      ( subq(s(X0),iPr_def_19)
      | ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ mem(X0,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_221174,c_49]) ).

tcf(c_253205,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),iPr_def_19)
      | ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_221174,c_181283]) ).

tcf(c_253222,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(p(iPr_def_15),X0)),p(X1)) = u(p(iPr_def_15),X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_253162]) ).

tcf(c_253223,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(p(iPr_def_15),X1))
      | ~ mem(X0,u(p(iPr_def_15),X1)) ),
    inference(superposition,[status(thm)],[c_64,c_253162]) ).

tcf(c_253229,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(p(iPr_def_15),X0),X1)),
    inference(superposition,[status(thm)],[c_230853,c_253162]) ).

tcf(c_253230,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(p(iPr_def_15),X0))
      | mem(e,m(u(p(iPr_def_15),X0),X1))
      | ~ atleast2p(m(u(p(iPr_def_15),X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_253162]) ).

tcf(c_253247,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(iPr_def_17,X0)),p(X1)) = u(iPr_def_17,X0) )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_198897,c_250608]) ).

tcf(c_253248,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_17,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast2p(iPr_def_17)
      | ~ mem(X0,u(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_250608]) ).

tcf(c_253253,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(iPr_def_17,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_17,X0))) = iPr_def_13 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_191595,c_250608]) ).

tcf(c_253254,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(u(iPr_def_17,X0),X1))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_230853,c_250608]) ).

tcf(c_253255,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_17,X0))
      | mem(iPr_def_12,m(u(iPr_def_17,X0),X1))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(u(iPr_def_17,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_250608]) ).

tcf(c_253256,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_231138,c_250608]) ).

tcf(c_253288,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(iPr_def_15,X0)),p(X1)) = u(iPr_def_15,X0) )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_250638]) ).

tcf(c_253289,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_15,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,u(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_250638]) ).

tcf(c_253291,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_15,X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_250638]) ).

tcf(c_253292,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(s(u(iPr_def_15,X0)),p(iPr_def_21)) = u(iPr_def_15,X0) )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(u(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_250638]) ).

tcf(c_253293,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_17,u(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_250638]) ).

tcf(c_253294,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_15,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_250638]) ).

tcf(c_253295,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(u(iPr_def_15,X0),X1))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_250638]) ).

tcf(c_253296,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | mem(iPr_def_16,m(u(iPr_def_15,X0),X1))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_250638]) ).

tcf(c_253297,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231138,c_250638]) ).

tcf(c_253298,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_250638]) ).

tcf(c_253299,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_250638]) ).

tcf(c_253300,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_180980,c_250638]) ).

tcf(c_253314,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_253297,c_182803]) ).

tcf(c_253358,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(iPr_def_15,X0)),p(X1)) = u(iPr_def_15,X0) )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_251130]) ).

tcf(c_253359,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_15,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,u(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_251130]) ).

tcf(c_253361,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_15,X0))) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_192265,c_251130]) ).

tcf(c_253362,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(s(u(iPr_def_15,X0)),p(iPr_def_21)) = u(iPr_def_15,X0) )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(u(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_251130]) ).

tcf(c_253363,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_17,u(iPr_def_15,X0)) = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_251130]) ).

tcf(c_253364,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_15,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_251130]) ).

tcf(c_253365,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(u(iPr_def_15,X0),X1))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_251130]) ).

tcf(c_253366,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | mem(iPr_def_19,m(u(iPr_def_15,X0),X1))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_251130]) ).

tcf(c_253367,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231138,c_251130]) ).

tcf(c_253368,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_251130]) ).

tcf(c_253369,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_251130]) ).

tcf(c_253370,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_180980,c_251130]) ).

tcf(c_253384,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_253367,c_182803]) ).

tcf(c_253429,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ~ mem(e,m(X0,X0)) ),
    inference(superposition,[status(thm)],[c_249519,c_49]) ).

tcf(c_253432,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,X1))
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_249519,c_181283]) ).

tcf(c_253433,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(X1,X1))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_249519,c_183900]) ).

tcf(c_253468,plain,
    ! [X0: $i] :
      ( subq(s(X0),p(iPr_def_20))
      | ( X0 = iPr_def_20 )
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ~ mem(X0,p(iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_221178,c_49]) ).

tcf(c_253471,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(iPr_def_20))
      | ( X0 = iPr_def_20 )
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_221178,c_181283]) ).

tcf(c_253485,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(s(e),m(m(X0,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_198896,c_253429]) ).

tcf(c_253486,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(s(e),m(X0,X0)) = e ) ),
    inference(superposition,[status(thm)],[c_182860,c_253429]) ).

tcf(c_253488,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(iPr_def_20,p(m(m(X0,X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_217765,c_253429]) ).

tcf(c_253489,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(iPr_def_14,p(m(m(X0,X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_210055,c_253429]) ).

tcf(c_253490,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(iPr_def_20,p(m(X0,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192247,c_253429]) ).

tcf(c_253491,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(iPr_def_14,p(m(X0,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191564,c_253429]) ).

tcf(c_253492,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,m(X0,X0))
      | ( sK0(iPr_def_10,m(m(X0,X0),X1)) = e ) ),
    inference(superposition,[status(thm)],[c_185756,c_253429]) ).

tcf(c_253494,plain,
    ( subq(iPr_def_10,m(e,e))
    | ~ mem(e,e) ),
    inference(superposition,[status(thm)],[c_205214,c_253429]) ).

tcf(c_253784,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(iPr_def_15,X0)),p(X1)) = u(iPr_def_15,X0) )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_198897,c_251146]) ).

tcf(c_253785,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(iPr_def_15,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,u(iPr_def_15,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_251146]) ).

tcf(c_253790,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(iPr_def_15,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_15,X0))) = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_191595,c_251146]) ).

tcf(c_253791,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(u(iPr_def_15,X0),X1))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_230853,c_251146]) ).

tcf(c_253792,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | mem(iPr_def_12,m(u(iPr_def_15,X0),X1))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(m(u(iPr_def_15,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_251146]) ).

tcf(c_253793,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231138,c_251146]) ).

tcf(c_253794,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_251146]) ).

tcf(c_253795,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_251146]) ).

tcf(c_253796,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | ~ atleast3p(iPr_def_15)
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_180980,c_251146]) ).

tcf(c_253810,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_253793,c_182803]) ).

tcf(c_253837,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X1)
      | ( sK0(s(u(iPr_def_20,X0)),p(X1)) = u(iPr_def_20,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_251165]) ).

tcf(c_253838,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | atleast2p(u(iPr_def_20,X1))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_251165]) ).

tcf(c_253840,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | mem(iPr_def_10,iPr_def_18)
      | atleast3p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_251165]) ).

tcf(c_253841,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | mem(iPr_def_10,iPr_def_18)
      | atleast2p(u(iPr_def_20,X0))
      | ( sK0(s(u(iPr_def_20,X0)),p(iPr_def_21)) = u(iPr_def_20,X0) )
      | ~ atleast3p(u(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_251165]) ).

tcf(c_253842,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | mem(iPr_def_10,iPr_def_18)
      | atleast2p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_17,u(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_251165]) ).

tcf(c_253844,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,u(u(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_230853,c_251165]) ).

tcf(c_253845,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | atleast3p(u(iPr_def_20,X0))
      | mem(iPr_def_10,m(u(iPr_def_20,X0),X1))
      | ~ atleast2p(m(u(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_251165]) ).

tcf(c_253884,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X1)
      | ( sK0(s(u(iPr_def_20,X0)),p(X1)) = u(iPr_def_20,X0) ) ),
    inference(superposition,[status(thm)],[c_198897,c_251178]) ).

tcf(c_253885,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | atleast2p(u(iPr_def_20,X1))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_251178]) ).

tcf(c_253887,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | mem(iPr_def_13,iPr_def_18)
      | atleast3p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_20,p(u(iPr_def_20,X0))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_251178]) ).

tcf(c_253888,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | mem(iPr_def_13,iPr_def_18)
      | atleast2p(u(iPr_def_20,X0))
      | ( sK0(s(u(iPr_def_20,X0)),p(iPr_def_21)) = u(iPr_def_20,X0) )
      | ~ atleast3p(u(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_251178]) ).

tcf(c_253889,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | mem(iPr_def_13,iPr_def_18)
      | atleast2p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_17,u(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_251178]) ).

tcf(c_253890,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(iPr_def_20,X0))
      | ( sK0(iPr_def_14,p(u(iPr_def_20,X0))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_251178]) ).

tcf(c_253891,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,u(u(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_230853,c_251178]) ).

tcf(c_253892,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | atleast3p(u(iPr_def_20,X0))
      | mem(iPr_def_13,m(u(iPr_def_20,X0),X1))
      | ~ atleast2p(m(u(iPr_def_20,X0),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_251178]) ).

tcf(c_253950,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_17 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_17)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241185]) ).

tcf(c_253973,plain,
    ! [X0: $i] :
      ( subq(s(X0),p(iPr_def_17))
      | ( X0 = iPr_def_17 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ mem(X0,p(iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_221182,c_49]) ).

tcf(c_253976,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(iPr_def_17))
      | ( X0 = iPr_def_17 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_221182,c_181283]) ).

tcf(c_253990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X3)
      | ( sK0(s(u(u(s(X0),X1),X2)),p(X3)) = u(u(s(X0),X1),X2) ) ),
    inference(superposition,[status(thm)],[c_198897,c_251778]) ).

tcf(c_253991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X1,p(X0))
      | atleast2p(u(u(s(X1),X2),X3))
      | ~ mem(X0,u(u(s(X1),X2),X3)) ),
    inference(superposition,[status(thm)],[c_64,c_251778]) ).

tcf(c_253993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,iPr_def_19)
      | atleast3p(u(u(s(X0),X1),X2))
      | ( sK0(iPr_def_20,p(u(u(s(X0),X1),X2))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_251778]) ).

tcf(c_253994,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,iPr_def_19)
      | atleast2p(u(u(s(X0),X1),X2))
      | ( sK0(s(u(u(s(X0),X1),X2)),p(iPr_def_21)) = u(u(s(X0),X1),X2) )
      | ~ atleast3p(u(u(s(X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_202546,c_251778]) ).

tcf(c_253995,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,iPr_def_19)
      | atleast2p(u(u(s(X0),X1),X2))
      | ( sK0(iPr_def_17,u(u(s(X0),X1),X2)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_251778]) ).

tcf(c_253996,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,iPr_def_13)
      | atleast3p(u(u(s(X0),X1),X2))
      | ( sK0(iPr_def_14,p(u(u(s(X0),X1),X2))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_251778]) ).

tcf(c_253997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(u(u(s(X0),X1),X2),X3)),
    inference(superposition,[status(thm)],[c_230853,c_251778]) ).

tcf(c_253998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast3p(u(u(s(X0),X1),X2))
      | mem(X0,m(u(u(s(X0),X1),X2),X3))
      | ~ atleast2p(m(u(u(s(X0),X1),X2),X3)) ),
    inference(superposition,[status(thm)],[c_205212,c_251778]) ).

tcf(c_254036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(u(p(iPr_def_10),X0),X1)),p(X2)) = u(u(p(iPr_def_10),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_251822]) ).

tcf(c_254037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(u(p(iPr_def_10),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_10),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_251822]) ).

tcf(c_254039,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(u(p(iPr_def_10),X0),X1))
      | ( sK0(iPr_def_20,p(u(u(p(iPr_def_10),X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_251822]) ).

tcf(c_254040,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_10),X0),X1))
      | ( sK0(s(u(u(p(iPr_def_10),X0),X1)),p(iPr_def_21)) = u(u(p(iPr_def_10),X0),X1) )
      | ~ atleast3p(u(u(p(iPr_def_10),X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_251822]) ).

tcf(c_254041,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_10),X0),X1))
      | ( sK0(iPr_def_17,u(u(p(iPr_def_10),X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_251822]) ).

tcf(c_254043,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(u(p(iPr_def_10),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_251822]) ).

tcf(c_254044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_10),X0),X1))
      | mem(iPr_def_10,m(u(u(p(iPr_def_10),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_10),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_251822]) ).

tcf(c_254106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(s(u(u(p(iPr_def_19),X0),X1)),p(X2)) = u(u(p(iPr_def_19),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252172]) ).

tcf(c_254107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,p(X0))
      | atleast2p(u(u(p(iPr_def_19),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_19),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_252172]) ).

tcf(c_254109,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(u(p(iPr_def_19),X0),X1))
      | ( sK0(iPr_def_20,p(u(u(p(iPr_def_19),X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_252172]) ).

tcf(c_254110,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_19),X0),X1))
      | ( sK0(s(u(u(p(iPr_def_19),X0),X1)),p(iPr_def_21)) = u(u(p(iPr_def_19),X0),X1) )
      | ~ atleast3p(u(u(p(iPr_def_19),X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_252172]) ).

tcf(c_254111,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_19),X0),X1))
      | ( sK0(iPr_def_17,u(u(p(iPr_def_19),X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_252172]) ).

tcf(c_254112,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(u(p(iPr_def_19),X0),X1))
      | ( sK0(iPr_def_14,p(u(u(p(iPr_def_19),X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_252172]) ).

tcf(c_254113,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(u(u(p(iPr_def_19),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_252172]) ).

tcf(c_254114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_19),X0),X1))
      | mem(iPr_def_19,m(u(u(p(iPr_def_19),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_19),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_252172]) ).

tcf(c_254173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(u(p(iPr_def_13),X0),X1)),p(X2)) = u(u(p(iPr_def_13),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252186]) ).

tcf(c_254174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(u(p(iPr_def_13),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_13),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_252186]) ).

tcf(c_254176,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(iPr_def_20,p(u(u(p(iPr_def_13),X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_252186]) ).

tcf(c_254177,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(s(u(u(p(iPr_def_13),X0),X1)),p(iPr_def_21)) = u(u(p(iPr_def_13),X0),X1) )
      | ~ atleast3p(u(u(p(iPr_def_13),X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_252186]) ).

tcf(c_254178,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(iPr_def_17,u(u(p(iPr_def_13),X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_252186]) ).

tcf(c_254180,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(u(p(iPr_def_13),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_252186]) ).

tcf(c_254181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_13),X0),X1))
      | mem(iPr_def_10,m(u(u(p(iPr_def_13),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_13),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_252186]) ).

tcf(c_254238,plain,
    ! [X0: $i] :
      ( ( p(iPr_def_15) = iPr_def_19 )
      | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) )
      | ( sK0(iPr_def_12,m(X0,p(iPr_def_15))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_252760,c_220152]) ).

tcf(c_254239,plain,
    ! [X0: $i] :
      ( ( p(iPr_def_15) = iPr_def_19 )
      | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) )
      | ( sK0(iPr_def_20,m(X0,p(iPr_def_15))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_252760,c_219246]) ).

tcf(c_254240,plain,
    ! [X0: $i] :
      ( ( p(iPr_def_15) = iPr_def_19 )
      | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) )
      | ( sK0(iPr_def_17,m(X0,p(iPr_def_15))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_252760,c_218749]) ).

tcf(c_254242,plain,
    ! [X0: $i] :
      ( ( p(iPr_def_15) = iPr_def_19 )
      | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) )
      | ( sK0(iPr_def_14,m(X0,p(iPr_def_15))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_252760,c_218103]) ).

tcf(c_254243,plain,
    ( ( p(iPr_def_15) = iPr_def_21 )
    | ( p(iPr_def_15) = iPr_def_19 )
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_252760,c_202915]) ).

tcf(c_254244,plain,
    ( subq(iPr_def_13,iPr_def_15)
    | ( p(iPr_def_15) = iPr_def_19 )
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_252760,c_202833]) ).

tcf(c_254246,plain,
    ( subq(iPr_def_19,iPr_def_15)
    | ( p(iPr_def_15) = iPr_def_19 )
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_252760,c_202433]) ).

tcf(c_254247,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ( p(iPr_def_15) = iPr_def_19 )
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_252760,c_202296]) ).

tcf(c_254248,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ( p(iPr_def_15) = iPr_def_19 )
    | ( sK0(s(p(iPr_def_15)),p(iPr_def_21)) = p(iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_252760,c_202182]) ).

tcf(c_254332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(u(p(iPr_def_15),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_252916,c_51]) ).

tcf(c_254334,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(u(p(iPr_def_15),X1),X2))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_252916,c_187219]) ).

tcf(c_254335,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(u(p(iPr_def_15),X0),X1))
      | subq(u(u(p(iPr_def_15),X0),X1),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_252916,c_181263]) ).

tcf(c_254348,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_16 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_16)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241224]) ).

tcf(c_254360,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_14 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_14)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241335]) ).

tcf(c_254371,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_12)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241387]) ).

tcf(c_254372,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_18,X0)),iPr_def_19) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(light_normalisation,[status(thm)],[c_254371,c_665]) ).

tcf(c_254398,plain,
    ! [X0: $i] :
      ( subq(s(X0),p(iPr_def_16))
      | ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ mem(X0,p(iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_221186,c_49]) ).

tcf(c_254401,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(iPr_def_16))
      | ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_221186,c_181283]) ).

tcf(c_254415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(u(p(iPr_def_13),X0),X1)),p(X2)) = u(u(p(iPr_def_13),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252195]) ).

tcf(c_254416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(u(p(iPr_def_13),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_13),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_252195]) ).

tcf(c_254421,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(iPr_def_14,p(u(u(p(iPr_def_13),X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_252195]) ).

tcf(c_254422,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(u(p(iPr_def_13),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_252195]) ).

tcf(c_254423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_13),X0),X1))
      | mem(iPr_def_12,m(u(u(p(iPr_def_13),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_13),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_252195]) ).

tcf(c_254445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(u(p(iPr_def_13),X0),X1)),p(X2)) = u(u(p(iPr_def_13),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_252240]) ).

tcf(c_254446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(u(p(iPr_def_13),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_13),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_252240]) ).

tcf(c_254448,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(iPr_def_20,p(u(u(p(iPr_def_13),X0),X1))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_252240]) ).

tcf(c_254449,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(s(u(u(p(iPr_def_13),X0),X1)),p(iPr_def_21)) = u(u(p(iPr_def_13),X0),X1) )
      | ~ atleast3p(u(u(p(iPr_def_13),X0),X1)) ),
    inference(superposition,[status(thm)],[c_202546,c_252240]) ).

tcf(c_254450,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(iPr_def_17,u(u(p(iPr_def_13),X0),X1)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_252240]) ).

tcf(c_254451,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(u(p(iPr_def_13),X0),X1))
      | ( sK0(iPr_def_14,p(u(u(p(iPr_def_13),X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_252240]) ).

tcf(c_254452,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(u(p(iPr_def_13),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_252240]) ).

tcf(c_254453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_13),X0),X1))
      | mem(iPr_def_13,m(u(u(p(iPr_def_13),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_13),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_252240]) ).

tcf(c_254750,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(u(p(iPr_def_15),X0),X1)),p(X2)) = u(u(p(iPr_def_15),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_254332]) ).

tcf(c_254751,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(u(p(iPr_def_15),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_15),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_254332]) ).

tcf(c_254756,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(u(p(iPr_def_15),X0),X1))
      | ( sK0(iPr_def_14,p(u(u(p(iPr_def_15),X0),X1))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_254332]) ).

tcf(c_254757,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(u(p(iPr_def_15),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_254332]) ).

tcf(c_254758,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_15),X0),X1))
      | mem(iPr_def_12,m(u(u(p(iPr_def_15),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_15),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_254332]) ).

tcf(c_254773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(u(p(iPr_def_15),X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_253229,c_51]) ).

tcf(c_254775,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(u(p(iPr_def_15),X1),X2))) = e,
    inference(superposition,[status(thm)],[c_253229,c_185755]) ).

tcf(c_254778,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_14,X0)))
      | ~ mem(iPr_def_19,p(m(iPr_def_14,X0))) ),
    inference(superposition,[status(thm)],[c_230336,c_49]) ).

tcf(c_254780,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_14,X0)))
      | ~ subq(iPr_def_19,m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_230336,c_181012]) ).

tcf(c_254781,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_14,X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_230336,c_181283]) ).

tcf(c_254783,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_14,X0))) ),
    inference(superposition,[status(thm)],[c_230336,c_188300]) ).

tcf(c_254785,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_14,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_230336,c_183272]) ).

tcf(c_254798,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_12,X0)))
      | ~ mem(iPr_def_19,p(m(iPr_def_12,X0))) ),
    inference(superposition,[status(thm)],[c_230337,c_49]) ).

tcf(c_254800,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_12,X0)))
      | ~ subq(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_230337,c_181012]) ).

tcf(c_254801,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_12,X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_230337,c_181283]) ).

tcf(c_254803,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_12,X0))) ),
    inference(superposition,[status(thm)],[c_230337,c_188300]) ).

tcf(c_254805,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_12,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_230337,c_183272]) ).

tcf(c_254864,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_15,X0)))
      | ~ mem(iPr_def_19,p(m(iPr_def_15,X0))) ),
    inference(superposition,[status(thm)],[c_230344,c_49]) ).

tcf(c_254866,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_15,X0)))
      | ~ subq(iPr_def_19,m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_230344,c_181012]) ).

tcf(c_254867,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_15,X1)))
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_230344,c_181283]) ).

tcf(c_254869,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_15,X0))) ),
    inference(superposition,[status(thm)],[c_230344,c_188300]) ).

tcf(c_254871,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_15,X1)))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_230344,c_183272]) ).

tcf(c_254892,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_18,X0)),p(iPr_def_15)) = m(iPr_def_18,X0) )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_241770]) ).

tcf(c_254903,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_17 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_17)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_242995]) ).

tcf(c_254918,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_16 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_16)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_243034]) ).

tcf(c_254929,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_18 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_18)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_243083]) ).

tcf(c_254949,plain,
    ! [X0: $i] :
      ( subq(s(X0),p(iPr_def_14))
      | ( X0 = iPr_def_14 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ mem(X0,p(iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_221190,c_49]) ).

tcf(c_254952,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(iPr_def_14))
      | ( X0 = iPr_def_14 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_221190,c_181283]) ).

tcf(c_254966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(u(p(iPr_def_15),X0),X1)),p(X2)) = u(u(p(iPr_def_15),X0),X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_254773]) ).

tcf(c_254967,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(u(p(iPr_def_15),X1),X2))
      | ~ mem(X0,u(u(p(iPr_def_15),X1),X2)) ),
    inference(superposition,[status(thm)],[c_64,c_254773]) ).

tcf(c_254973,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(u(p(iPr_def_15),X0),X1),X2)),
    inference(superposition,[status(thm)],[c_230853,c_254773]) ).

tcf(c_254974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(u(p(iPr_def_15),X0),X1))
      | mem(e,m(u(u(p(iPr_def_15),X0),X1),X2))
      | ~ atleast2p(m(u(u(p(iPr_def_15),X0),X1),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_254773]) ).

tcf(c_254989,plain,
    ! [X0: $i,X1: $i] : subq(X0,u(X1,X0)),
    inference(superposition,[status(thm)],[c_50,c_181154]) ).

tcf(c_254990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(X1,X2))
      | ( sK0(s(sK0(X0,u(X1,X2))),m(X2,X3)) = sK0(X0,u(X1,X2)) ) ),
    inference(superposition,[status(thm)],[c_198896,c_181154]) ).

tcf(c_254991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,X2))
      | ( sK0(s(sK0(X0,u(X1,X2))),X2) = sK0(X0,u(X1,X2)) ) ),
    inference(superposition,[status(thm)],[c_182860,c_181154]) ).

tcf(c_254992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(X1,u(X2,X3)))
      | ~ mem(sK0(X0,u(X1,u(X2,X3))),X2) ),
    inference(superposition,[status(thm)],[c_56,c_181154]) ).

tcf(c_254993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(X1,u(X2,X3)))
      | ~ mem(sK0(X0,u(X1,u(X2,X3))),X3) ),
    inference(superposition,[status(thm)],[c_57,c_181154]) ).

tcf(c_254994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,u(X1,m(X2,X3)))
      | mem(sK0(X0,u(X1,m(X2,X3))),X3)
      | ~ mem(sK0(X0,u(X1,m(X2,X3))),X2) ),
    inference(superposition,[status(thm)],[c_59,c_181154]) ).

tcf(c_254995,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X1,p(X2)))
      | ~ subq(sK0(X0,u(X1,p(X2))),X2) ),
    inference(superposition,[status(thm)],[c_62,c_181154]) ).

tcf(c_254996,plain,
    ! [X0: $i,X1: $i,X2: $i] : subq(m(X0,X1),u(X2,X0)),
    inference(superposition,[status(thm)],[c_181173,c_181154]) ).

tcf(c_254997,plain,
    ! [X0: $i] : subq(iPr_def_12,u(X0,iPr_def_15)),
    inference(superposition,[status(thm)],[c_181196,c_181154]) ).

tcf(c_254998,plain,
    ! [X0: $i] : subq(iPr_def_16,u(X0,iPr_def_18)),
    inference(superposition,[status(thm)],[c_181204,c_181154]) ).

tcf(c_254999,plain,
    ! [X0: $i] : subq(iPr_def_18,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_181244,c_181154]) ).

tcf(c_255000,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X2,X1))
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_181283,c_181154]) ).

tcf(c_255001,plain,
    ! [X0: $i] : subq(iPr_def_12,u(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_181635,c_181154]) ).

tcf(c_255002,plain,
    ! [X0: $i] : subq(iPr_def_14,u(X0,iPr_def_15)),
    inference(superposition,[status(thm)],[c_181643,c_181154]) ).

tcf(c_255003,plain,
    ! [X0: $i] : subq(iPr_def_17,u(X0,iPr_def_18)),
    inference(superposition,[status(thm)],[c_181668,c_181154]) ).

tcf(c_255004,plain,
    ! [X0: $i] : subq(iPr_def_20,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_181800,c_181154]) ).

tcf(c_255005,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,u(X1,X0))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183073,c_181154]) ).

tcf(c_255006,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,u(X1,X0))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_182629,c_181154]) ).

tcf(c_255007,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183665,c_181154]) ).

tcf(c_255008,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183681,c_181154]) ).

tcf(c_255009,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,u(X1,X0))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_182675,c_181154]) ).

tcf(c_255010,plain,
    ! [X0: $i] : subq(iPr_def_16,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_182676,c_181154]) ).

tcf(c_255011,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_18,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_182838,c_181154]) ).

tcf(c_255012,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_15,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_181299,c_181154]) ).

tcf(c_255013,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_10,u(X1,X0))
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_183900,c_181154]) ).

tcf(c_255014,plain,
    ! [X0: $i] : subq(iPr_def_10,u(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_182887,c_181154]) ).

tcf(c_255015,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,u(X1,X0))
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_183082,c_181154]) ).

tcf(c_255016,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183910,c_181154]) ).

tcf(c_255017,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_184132,c_181154]) ).

tcf(c_255018,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,u(X1,X0))
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_183103,c_181154]) ).

tcf(c_255019,plain,
    ! [X0: $i] : subq(iPr_def_17,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_183104,c_181154]) ).

tcf(c_255020,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,u(X1,X0))
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_183272,c_181154]) ).

tcf(c_255021,plain,
    ! [X0: $i] : subq(iPr_def_15,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_181220,c_181154]) ).

tcf(c_255022,plain,
    ! [X0: $i] : subq(iPr_def_12,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_182630,c_181154]) ).

tcf(c_255023,plain,
    ! [X0: $i] : subq(iPr_def_14,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_183083,c_181154]) ).

tcf(c_255024,plain,
    ! [X0: $i] :
      ( subq(X0,u(e,iPr_def_10))
      | ~ mem(sK0(X0,iPr_def_10),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183365,c_181154]) ).

tcf(c_255025,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_12,iPr_def_14))
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_181154]) ).

tcf(c_255026,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_16,iPr_def_17))
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_181154]) ).

tcf(c_255027,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_18,iPr_def_20))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_181154]) ).

tcf(c_255028,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_15,iPr_def_21))
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_180980,c_181154]) ).

tcf(c_255029,plain,
    ! [X0: $i] :
      ( subq(X0,u(iPr_def_10,iPr_def_12))
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183363,c_181154]) ).

tcf(c_255058,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_13)
      | ~ mem(sK0(X0,iPr_def_13),iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_255029,c_183363]) ).

tcf(c_255061,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_21) ),
    inference(light_normalisation,[status(thm)],[c_255028,c_180980]) ).

tcf(c_255064,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ mem(sK0(X0,iPr_def_21),iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_255027,c_667]) ).

tcf(c_255067,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ mem(sK0(X0,iPr_def_18),iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_255026,c_664]) ).

tcf(c_255070,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ mem(sK0(X0,iPr_def_15),iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_255025,c_661]) ).

tcf(c_255073,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_10)
      | ~ mem(sK0(X0,iPr_def_10),iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_255024,c_183365]) ).

tcf(c_255383,plain,
    subq(iPr_def_21,iPr_def_21),
    inference(superposition,[status(thm)],[c_180980,c_254989]) ).

tcf(c_255385,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,X0))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_254989,c_202827]) ).

tcf(c_255386,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,X0))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_254989,c_202514]) ).

tcf(c_255387,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,X0))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_254989,c_202427]) ).

tcf(c_255388,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,X0))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_254989,c_202290]) ).

tcf(c_255389,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,X0))
      | ( sK0(s(X0),p(iPr_def_21)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_254989,c_202176]) ).

tcf(c_255390,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,X0))
      | subq(u(X1,X0),X0)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_254989,c_65]) ).

tcf(c_255391,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,X1) = X1 )
      | ~ subq(u(X0,X1),X1) ),
    inference(superposition,[status(thm)],[c_254989,c_52]) ).

tcf(c_255392,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(s(X0))
      | mem(X0,u(X1,p(X0))) ),
    inference(superposition,[status(thm)],[c_254989,c_210957]) ).

tcf(c_255393,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,u(X2,p(X1)))
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_254989,c_181287]) ).

tcf(c_255394,plain,
    ! [X0: $i,X1: $i] : mem(X0,u(X1,s(X0))),
    inference(superposition,[status(thm)],[c_254989,c_181284]) ).

tcf(c_255395,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_15,u(X0,iPr_def_19))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_254989,c_184166]) ).

tcf(c_255396,plain,
    ! [X0: $i] : mem(iPr_def_12,u(X0,iPr_def_19)),
    inference(superposition,[status(thm)],[c_254989,c_181295]) ).

tcf(c_255397,plain,
    ! [X0: $i] : mem(e,u(X0,iPr_def_19)),
    inference(superposition,[status(thm)],[c_254989,c_181294]) ).

tcf(c_255398,plain,
    ! [X0: $i] : mem(e,u(X0,iPr_def_10)),
    inference(superposition,[status(thm)],[c_254989,c_181288]) ).

tcf(c_255399,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,u(X0,iPr_def_12))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_254989,c_184414]) ).

tcf(c_255400,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_12))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_195726]) ).

tcf(c_255401,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_12))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186629]) ).

tcf(c_255402,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(X0,iPr_def_12))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186418]) ).

tcf(c_255403,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(X0,iPr_def_12))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186373]) ).

tcf(c_255404,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,u(X0,iPr_def_12))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_187372]) ).

tcf(c_255405,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,u(X0,iPr_def_12))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186666]) ).

tcf(c_255406,plain,
    ! [X0: $i] : mem(iPr_def_10,u(X0,iPr_def_12)),
    inference(superposition,[status(thm)],[c_254989,c_183347]) ).

tcf(c_255407,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,u(X0,iPr_def_14))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_254989,c_184434]) ).

tcf(c_255408,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,u(X0,iPr_def_14))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186343]) ).

tcf(c_255409,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,u(X0,iPr_def_14))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186324]) ).

tcf(c_255410,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,u(X0,iPr_def_14))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186305]) ).

tcf(c_255411,plain,
    ! [X0: $i] : mem(iPr_def_13,u(X0,iPr_def_14)),
    inference(superposition,[status(thm)],[c_254989,c_181290]) ).

tcf(c_255412,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X0,iPr_def_16))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_254989,c_189313]) ).

tcf(c_255413,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(X0,iPr_def_16))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_254989,c_183780]) ).

tcf(c_255414,plain,
    ! [X0: $i] : mem(iPr_def_12,u(X0,iPr_def_16)),
    inference(superposition,[status(thm)],[c_254989,c_181291]) ).

tcf(c_255415,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,u(X0,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_254989,c_188459]) ).

tcf(c_255416,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,u(X0,iPr_def_17))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_254989,c_193464]) ).

tcf(c_255417,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,u(X0,iPr_def_17))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_254989,c_193438]) ).

tcf(c_255418,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X0,iPr_def_17))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_254989,c_189330]) ).

tcf(c_255419,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_17))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_254989,c_183155]) ).

tcf(c_255420,plain,
    ! [X0: $i] : mem(iPr_def_16,u(X0,iPr_def_17)),
    inference(superposition,[status(thm)],[c_254989,c_181292]) ).

tcf(c_255421,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(X0,u(X1,u(s(X0),X2))),
    inference(superposition,[status(thm)],[c_254989,c_240675]) ).

tcf(c_255422,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_254989,c_188431]) ).

tcf(c_255425,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,u(X0,iPr_def_18))
      | ( iPr_def_10 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_254989,c_186614]) ).

tcf(c_255426,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,u(X0,iPr_def_18))
      | ( iPr_def_13 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_254989,c_186601]) ).

tcf(c_255427,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_254989,c_188416]) ).

tcf(c_255428,plain,
    ! [X0: $i] : mem(iPr_def_16,u(X0,iPr_def_18)),
    inference(superposition,[status(thm)],[c_254989,c_181835]) ).

tcf(c_255429,plain,
    ! [X0: $i] : mem(iPr_def_12,u(X0,iPr_def_18)),
    inference(superposition,[status(thm)],[c_254989,c_181297]) ).

tcf(c_255432,plain,
    ! [X0: $i] : mem(iPr_def_10,u(X0,iPr_def_15)),
    inference(superposition,[status(thm)],[c_254989,c_183340]) ).

tcf(c_255433,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(X0,iPr_def_15))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_182657]) ).

tcf(c_255434,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(X0,iPr_def_15))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_182420]) ).

tcf(c_255435,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_15))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_182362]) ).

tcf(c_255436,plain,
    ! [X0: $i] : mem(iPr_def_13,u(X0,iPr_def_15)),
    inference(superposition,[status(thm)],[c_254989,c_181650]) ).

tcf(c_255437,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,u(X0,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_254989,c_186589]) ).

tcf(c_255438,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,u(X0,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_254989,c_186577]) ).

tcf(c_255439,plain,
    ! [X0: $i] : mem(iPr_def_19,u(X0,iPr_def_20)),
    inference(superposition,[status(thm)],[c_254989,c_181293]) ).

tcf(c_255447,plain,
    ! [X0: $i] : mem(iPr_def_10,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_254989,c_183356]) ).

tcf(c_255448,plain,
    ! [X0: $i] : mem(iPr_def_16,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_254989,c_181843]) ).

tcf(c_255449,plain,
    ! [X0: $i] : mem(iPr_def_19,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_254989,c_181840]) ).

tcf(c_255450,plain,
    ! [X0: $i] : mem(iPr_def_12,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_254989,c_181422]) ).

tcf(c_255451,plain,
    ! [X0: $i] : mem(iPr_def_13,u(X0,iPr_def_21)),
    inference(superposition,[status(thm)],[c_254989,c_181661]) ).

tcf(c_255452,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_13))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_254989,c_223231]) ).

tcf(c_255453,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_13))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_254989,c_223210]) ).

tcf(c_255454,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_13))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_254989,c_223185]) ).

tcf(c_255455,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_13))
      | ( sK0(iPr_def_14,m(p(iPr_def_21),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_254989,c_222391]) ).

tcf(c_255456,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,u(X0,iPr_def_13))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_254989,c_184450]) ).

tcf(c_255459,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(X0,iPr_def_13))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186861]) ).

tcf(c_255460,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,u(X0,iPr_def_13))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_187427]) ).

tcf(c_255461,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,u(X0,iPr_def_13))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_186839]) ).

tcf(c_255462,plain,
    ! [X0: $i] : mem(iPr_def_10,u(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_254989,c_183332]) ).

tcf(c_255463,plain,
    ! [X0: $i] : mem(e,u(X0,iPr_def_13)),
    inference(superposition,[status(thm)],[c_254989,c_181444]) ).

tcf(c_255464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : mem(X0,u(X1,u(u(s(X0),X2),X3))),
    inference(superposition,[status(thm)],[c_254989,c_251778]) ).

tcf(c_255465,plain,
    ! [X0: $i] : mem(iPr_def_10,u(X0,p(iPr_def_10))),
    inference(superposition,[status(thm)],[c_254989,c_183351]) ).

tcf(c_255466,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(iPr_def_10,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233461]) ).

tcf(c_255467,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(iPr_def_19,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233455]) ).

tcf(c_255468,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(iPr_def_19,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233447]) ).

tcf(c_255469,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_12,X0)))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_207719]) ).

tcf(c_255470,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_12,X0)))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_206660]) ).

tcf(c_255471,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_12,X0)))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_206641]) ).

tcf(c_255472,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_12,X0)))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_206622]) ).

tcf(c_255473,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_12,X0)))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_206606]) ).

tcf(c_255474,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_16,X0)))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_245115]) ).

tcf(c_255475,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_16,X0)))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_245047]) ).

tcf(c_255476,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_16,X0)))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_244940]) ).

tcf(c_255477,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_16,X0)))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_244912]) ).

tcf(c_255478,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_16,X0)))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_244684]) ).

tcf(c_255479,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_18,X0)))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_242006]) ).

tcf(c_255480,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_18,X0)))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_241975]) ).

tcf(c_255481,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_18,X0)))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_241950]) ).

tcf(c_255482,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_18,X0)))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_241850]) ).

tcf(c_255483,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_18,X0)))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_241818]) ).

tcf(c_255484,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,u(X1,m(iPr_def_18,X0)))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_226303]) ).

tcf(c_255485,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_18,X0)))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_226128]) ).

tcf(c_255486,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_18,X0)))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_226080]) ).

tcf(c_255487,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X1,m(iPr_def_18,X0)))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_226027]) ).

tcf(c_255488,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_18,X0)))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_225853]) ).

tcf(c_255489,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_18,X0)))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_225810]) ).

tcf(c_255490,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_15,X0)))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_244142]) ).

tcf(c_255491,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_15,X0)))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_244109]) ).

tcf(c_255492,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_15,X0)))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_244084]) ).

tcf(c_255493,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_15,X0)))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_243979]) ).

tcf(c_255494,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_15,X0)))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_243949]) ).

tcf(c_255495,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_21,X0)))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_205984]) ).

tcf(c_255496,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_21,X0)))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_205867]) ).

tcf(c_255497,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_21,X0)))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_205855]) ).

tcf(c_255498,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_21,X0)))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_205843]) ).

tcf(c_255499,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_21,X0)))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_205831]) ).

tcf(c_255500,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(u(iPr_def_19,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_246518]) ).

tcf(c_255501,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(u(iPr_def_19,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_246504]) ).

tcf(c_255502,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,u(X1,sK0(p(iPr_def_21),X0)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_183354]) ).

tcf(c_255503,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,u(X1,sK0(p(iPr_def_21),X0)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_182688]) ).

tcf(c_255504,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,u(X1,sK0(p(iPr_def_21),X0)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_182464]) ).

tcf(c_255505,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,u(X1,sK0(p(iPr_def_21),X0)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_182431]) ).

tcf(c_255506,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,u(X1,sK0(p(iPr_def_21),X0)))
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_181997]) ).

tcf(c_255507,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(iPr_def_12,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233740]) ).

tcf(c_255508,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(iPr_def_14,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233746]) ).

tcf(c_255509,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X0,u(iPr_def_16,X1)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_254989,c_250521]) ).

tcf(c_255510,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(iPr_def_16,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233752]) ).

tcf(c_255511,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X0,u(iPr_def_17,X1)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_254989,c_250608]) ).

tcf(c_255512,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(X0,u(iPr_def_17,X1))),
    inference(superposition,[status(thm)],[c_254989,c_233913]) ).

tcf(c_255513,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,u(X0,u(iPr_def_20,X1))) ),
    inference(superposition,[status(thm)],[c_254989,c_251178]) ).

tcf(c_255514,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,u(X0,u(iPr_def_20,X1))) ),
    inference(superposition,[status(thm)],[c_254989,c_251165]) ).

tcf(c_255515,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(X0,u(iPr_def_20,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239733]) ).

tcf(c_255516,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(iPr_def_13,X1))),
    inference(superposition,[status(thm)],[c_254989,c_240291]) ).

tcf(c_255517,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(iPr_def_13,X1))),
    inference(superposition,[status(thm)],[c_254989,c_240282]) ).

tcf(c_255518,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X0,u(iPr_def_15,X1)))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_251146]) ).

tcf(c_255519,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X0,u(iPr_def_15,X1)))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_251130]) ).

tcf(c_255520,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X0,u(iPr_def_15,X1)))
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254989,c_250638]) ).

tcf(c_255521,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(iPr_def_15,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239411]) ).

tcf(c_255522,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(iPr_def_15,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239401]) ).

tcf(c_255523,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X0,u(iPr_def_18,X1))) ),
    inference(superposition,[status(thm)],[c_254989,c_243737]) ).

tcf(c_255524,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(iPr_def_18,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239389]) ).

tcf(c_255525,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(X0,u(iPr_def_18,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239380]) ).

tcf(c_255526,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(iPr_def_21,X1))),
    inference(superposition,[status(thm)],[c_254989,c_240215]) ).

tcf(c_255527,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(iPr_def_21,X1))),
    inference(superposition,[status(thm)],[c_254989,c_240188]) ).

tcf(c_255528,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(X0,u(iPr_def_21,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239758]) ).

tcf(c_255529,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(X0,u(iPr_def_21,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239750]) ).

tcf(c_255530,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(iPr_def_21,X1))),
    inference(superposition,[status(thm)],[c_254989,c_239741]) ).

tcf(c_255531,plain,
    ! [X0: $i] : mem(iPr_def_19,u(X0,p(iPr_def_19))),
    inference(superposition,[status(thm)],[c_254989,c_183486]) ).

tcf(c_255532,plain,
    ! [X0: $i] : mem(e,u(X0,p(iPr_def_15))),
    inference(superposition,[status(thm)],[c_254989,c_252811]) ).

tcf(c_255533,plain,
    ! [X0: $i] : mem(iPr_def_12,u(X0,p(iPr_def_15))),
    inference(superposition,[status(thm)],[c_254989,c_252685]) ).

tcf(c_255534,plain,
    ! [X0: $i] : mem(iPr_def_10,u(X0,p(iPr_def_13))),
    inference(superposition,[status(thm)],[c_254989,c_183338]) ).

tcf(c_255535,plain,
    ! [X0: $i] : mem(iPr_def_12,u(X0,p(iPr_def_13))),
    inference(superposition,[status(thm)],[c_254989,c_183047]) ).

tcf(c_255536,plain,
    ! [X0: $i] : mem(iPr_def_13,u(X0,p(iPr_def_13))),
    inference(superposition,[status(thm)],[c_254989,c_182209]) ).

tcf(c_255537,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(u(iPr_def_10,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_247589]) ).

tcf(c_255538,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(u(iPr_def_12,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_247598]) ).

tcf(c_255539,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(u(iPr_def_14,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_247607]) ).

tcf(c_255540,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(u(iPr_def_16,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_247616]) ).

tcf(c_255541,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(X0,u(u(iPr_def_17,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_248336]) ).

tcf(c_255542,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(u(iPr_def_18,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_248354]) ).

tcf(c_255543,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(X0,u(u(iPr_def_18,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_248345]) ).

tcf(c_255544,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(u(iPr_def_15,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249366]) ).

tcf(c_255545,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(u(iPr_def_15,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_248366]) ).

tcf(c_255546,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(X0,u(u(iPr_def_20,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249420]) ).

tcf(c_255547,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(u(iPr_def_21,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249980]) ).

tcf(c_255548,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(u(iPr_def_21,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249724]) ).

tcf(c_255549,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(X0,u(u(iPr_def_21,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249705]) ).

tcf(c_255550,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(X0,u(u(iPr_def_21,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249437]) ).

tcf(c_255551,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(u(iPr_def_21,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249428]) ).

tcf(c_255552,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(u(iPr_def_13,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_250065]) ).

tcf(c_255553,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(u(iPr_def_13,X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_249985]) ).

tcf(c_255554,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(p(iPr_def_15),X1))),
    inference(superposition,[status(thm)],[c_254989,c_253162]) ).

tcf(c_255555,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(p(iPr_def_15),X1))),
    inference(superposition,[status(thm)],[c_254989,c_252816]) ).

tcf(c_255556,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(u(p(iPr_def_15),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_254773]) ).

tcf(c_255557,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(u(p(iPr_def_15),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_254332]) ).

tcf(c_255558,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(p(iPr_def_13),X1))),
    inference(superposition,[status(thm)],[c_254989,c_242522]) ).

tcf(c_255559,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(p(iPr_def_13),X1))),
    inference(superposition,[status(thm)],[c_254989,c_241745]) ).

tcf(c_255560,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(p(iPr_def_13),X1))),
    inference(superposition,[status(thm)],[c_254989,c_241734]) ).

tcf(c_255561,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_10,u(X1,sK0(iPr_def_19,X0)))
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_183830]) ).

tcf(c_255562,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(p(iPr_def_10),X1))),
    inference(superposition,[status(thm)],[c_254989,c_241712]) ).

tcf(c_255563,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(X0,u(p(iPr_def_19),X1))),
    inference(superposition,[status(thm)],[c_254989,c_241723]) ).

tcf(c_255564,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(u(p(iPr_def_10),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_251822]) ).

tcf(c_255565,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(X0,u(u(p(iPr_def_19),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_252172]) ).

tcf(c_255566,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(u(p(iPr_def_13),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_252240]) ).

tcf(c_255567,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(u(p(iPr_def_13),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_252195]) ).

tcf(c_255568,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(u(p(iPr_def_13),X1),X2))),
    inference(superposition,[status(thm)],[c_254989,c_252186]) ).

tcf(c_256323,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(s(sK0(X0,iPr_def_21)),m(iPr_def_20,X1)) = sK0(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198896,c_255064]) ).

tcf(c_256324,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ( sK0(s(sK0(X0,iPr_def_21)),iPr_def_20) = sK0(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_182860,c_255064]) ).

tcf(c_256325,plain,
    ! [X0: $i] : subq(m(iPr_def_20,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_181173,c_255064]) ).

tcf(c_256326,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_21)
      | ~ subq(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_181283,c_255064]) ).

tcf(c_256334,plain,
    ( subq(iPr_def_10,iPr_def_21)
    | ~ subq(iPr_def_13,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_183900,c_255064]) ).

tcf(c_256355,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | subq(u(X0,iPr_def_15),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_254997,c_65]) ).

tcf(c_256356,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_15) = iPr_def_12 )
      | ~ subq(u(X0,iPr_def_15),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_254997,c_52]) ).

tcf(c_256358,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_15))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254997,c_195726]) ).

tcf(c_256359,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_15))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254997,c_186629]) ).

tcf(c_256360,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(X0,iPr_def_15))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254997,c_186418]) ).

tcf(c_256361,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(X0,iPr_def_15))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_254997,c_186373]) ).

tcf(c_256388,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(u(X0,iPr_def_18),iPr_def_16)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_254998,c_65]) ).

tcf(c_256389,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_18) = iPr_def_16 )
      | ~ subq(u(X0,iPr_def_18),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_254998,c_52]) ).

tcf(c_256404,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_18)
      | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_254999,c_65]) ).

tcf(c_256405,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_18 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_254999,c_52]) ).

tcf(c_256416,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_18) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_256404,c_185435]) ).

tcf(c_256424,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | subq(u(X0,iPr_def_13),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_255001,c_65]) ).

tcf(c_256425,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_12 )
      | ~ subq(u(X0,iPr_def_13),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_255001,c_52]) ).

tcf(c_256427,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_13))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_255001,c_195726]) ).

tcf(c_256428,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_13))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_255001,c_186629]) ).

tcf(c_256429,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(X0,iPr_def_13))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_255001,c_186418]) ).

tcf(c_256457,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_14 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_14)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_243117]) ).

tcf(c_256468,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_15,X0)),p(iPr_def_12)) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_243162]) ).

tcf(c_256469,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_15,X0)),iPr_def_19) = m(iPr_def_15,X0) )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(light_normalisation,[status(thm)],[c_256468,c_665]) ).

tcf(c_256510,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_17 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_17)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244205]) ).

tcf(c_256532,plain,
    ! [X0: $i] :
      ( subq(s(X0),p(iPr_def_10))
      | ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_10,X0) = e )
      | ~ mem(X0,p(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_221194,c_49]) ).

tcf(c_256535,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(iPr_def_10))
      | ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_10,X0) = e )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_221194,c_181283]) ).

tcf(c_256550,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(s(sK0(X0,iPr_def_18)),m(iPr_def_17,X1)) = sK0(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198896,c_255067]) ).

tcf(c_256551,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ( sK0(s(sK0(X0,iPr_def_18)),iPr_def_17) = sK0(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_182860,c_255067]) ).

tcf(c_256552,plain,
    ! [X0: $i] : subq(m(iPr_def_17,X0),iPr_def_18),
    inference(superposition,[status(thm)],[c_181173,c_255067]) ).

tcf(c_256553,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_18)
      | ~ subq(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181283,c_255067]) ).

tcf(c_256554,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183073,c_255067]) ).

tcf(c_256555,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182629,c_255067]) ).

tcf(c_256556,plain,
    ( subq(iPr_def_12,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183665,c_255067]) ).

tcf(c_256559,plain,
    ( subq(iPr_def_18,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_182838,c_255067]) ).

tcf(c_256560,plain,
    ( subq(iPr_def_15,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_181299,c_255067]) ).

tcf(c_256561,plain,
    ( subq(iPr_def_10,iPr_def_18)
    | ~ subq(iPr_def_13,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183900,c_255067]) ).

tcf(c_256562,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ~ subq(iPr_def_15,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183082,c_255067]) ).

tcf(c_256563,plain,
    ( subq(iPr_def_14,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183910,c_255067]) ).

tcf(c_256566,plain,
    ( subq(iPr_def_20,iPr_def_18)
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_183272,c_255067]) ).

tcf(c_256825,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(s(sK0(X0,iPr_def_15)),m(iPr_def_14,X1)) = sK0(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198896,c_255070]) ).

tcf(c_256826,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(s(sK0(X0,iPr_def_15)),iPr_def_14) = sK0(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_182860,c_255070]) ).

tcf(c_256827,plain,
    ! [X0: $i] : subq(m(iPr_def_14,X0),iPr_def_15),
    inference(superposition,[status(thm)],[c_181173,c_255070]) ).

tcf(c_256828,plain,
    ! [X0: $i] :
      ( subq(X0,iPr_def_15)
      | ~ subq(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181283,c_255070]) ).

tcf(c_256832,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183681,c_255070]) ).

tcf(c_256833,plain,
    ( subq(iPr_def_16,iPr_def_15)
    | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182675,c_255070]) ).

tcf(c_256834,plain,
    ( subq(iPr_def_18,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_182838,c_255070]) ).

tcf(c_256835,plain,
    ( subq(iPr_def_15,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_181299,c_255070]) ).

tcf(c_256836,plain,
    ( subq(iPr_def_10,iPr_def_15)
    | ~ subq(iPr_def_13,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183900,c_255070]) ).

tcf(c_256839,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_184132,c_255070]) ).

tcf(c_256840,plain,
    ( subq(iPr_def_17,iPr_def_15)
    | ~ subq(iPr_def_18,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183103,c_255070]) ).

tcf(c_256841,plain,
    ( subq(iPr_def_20,iPr_def_15)
    | ~ subq(iPr_def_21,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_183272,c_255070]) ).

tcf(c_256870,plain,
    ( subq(iPr_def_10,iPr_def_10)
    | atleast3p(u(e,iPr_def_10))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_183365,c_255390]) ).

tcf(c_256871,plain,
    ( subq(iPr_def_15,iPr_def_14)
    | atleast3p(u(iPr_def_12,iPr_def_14))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_255390]) ).

tcf(c_256872,plain,
    ( subq(iPr_def_18,iPr_def_17)
    | atleast3p(u(iPr_def_16,iPr_def_17))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_255390]) ).

tcf(c_256873,plain,
    ( subq(iPr_def_21,iPr_def_20)
    | atleast3p(u(iPr_def_18,iPr_def_20))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_255390]) ).

tcf(c_256874,plain,
    ( subq(iPr_def_21,iPr_def_21)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_21) ),
    inference(superposition,[status(thm)],[c_180980,c_255390]) ).

tcf(c_256875,plain,
    ( subq(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_10,iPr_def_12))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183363,c_255390]) ).

tcf(c_256881,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(X1)
      | atleast3p(u(X0,X1))
      | subq(X1,u(X0,X1))
      | ~ atleast2p(X1)
      | ~ atleast2p(u(X0,X1)) ),
    inference(superposition,[status(thm)],[c_255390,c_65]) ).

tcf(c_256882,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,X0))
      | ( u(X1,X0) = X0 )
      | ~ atleast2p(X0)
      | ~ subq(X0,u(X1,X0)) ),
    inference(superposition,[status(thm)],[c_255390,c_52]) ).

tcf(c_256885,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_12))
      | subq(u(X0,iPr_def_12),iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_255390,c_231986]) ).

tcf(c_256886,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,iPr_def_12))
      | mem(u(X1,iPr_def_12),X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_255390,c_207878]) ).

tcf(c_256888,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_12))
      | mem(u(X0,iPr_def_12),iPr_def_19)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_255390,c_180993]) ).

tcf(c_256889,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | atleast3p(u(s(X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_240675]) ).

tcf(c_256890,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,s(X0)))
      | ( u(X1,s(X0)) = s(X0) )
      | ( sK0(s(X0),u(X1,s(X0))) = X0 )
      | ~ atleast2p(s(X0)) ),
    inference(superposition,[status(thm)],[c_255390,c_181560]) ).

tcf(c_256891,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_16))
      | subq(u(X0,iPr_def_16),iPr_def_18)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_255390,c_231928]) ).

tcf(c_256892,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X1,X0)
      | atleast3p(u(u(s(X1),X2),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_251778]) ).

tcf(c_256895,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(iPr_def_10,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233461]) ).

tcf(c_256896,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(iPr_def_19,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233455]) ).

tcf(c_256897,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(iPr_def_19,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233447]) ).

tcf(c_256899,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(u(X0,iPr_def_18),iPr_def_21)
      | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_255390,c_231667]) ).

tcf(c_256904,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(u(iPr_def_19,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_246518]) ).

tcf(c_256905,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(u(iPr_def_19,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_246504]) ).

tcf(c_256906,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(iPr_def_12,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233740]) ).

tcf(c_256907,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(iPr_def_14,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233746]) ).

tcf(c_256908,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(iPr_def_16,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_250521]) ).

tcf(c_256909,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(iPr_def_16,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233752]) ).

tcf(c_256910,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_250608]) ).

tcf(c_256911,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(iPr_def_17,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_233913]) ).

tcf(c_256912,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X0)
      | atleast3p(u(iPr_def_20,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_251178]) ).

tcf(c_256913,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X0)
      | atleast3p(u(iPr_def_20,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_251165]) ).

tcf(c_256914,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(iPr_def_20,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239733]) ).

tcf(c_256915,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(iPr_def_13,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_240291]) ).

tcf(c_256916,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(iPr_def_13,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_240282]) ).

tcf(c_256917,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_251146]) ).

tcf(c_256918,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_251130]) ).

tcf(c_256919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_250638]) ).

tcf(c_256920,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239411]) ).

tcf(c_256921,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(iPr_def_15,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239401]) ).

tcf(c_256922,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_243737]) ).

tcf(c_256923,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239389]) ).

tcf(c_256924,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(iPr_def_18,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239380]) ).

tcf(c_256925,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_240215]) ).

tcf(c_256926,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_240188]) ).

tcf(c_256927,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239758]) ).

tcf(c_256928,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239750]) ).

tcf(c_256929,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(iPr_def_21,X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_239741]) ).

tcf(c_256931,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_18))
    | ( u(iPr_def_21,iPr_def_18) = iPr_def_18 )
    | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_255390,c_231749]) ).

tcf(c_256932,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_15))
    | ( u(iPr_def_21,iPr_def_15) = iPr_def_15 )
    | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_255390,c_232849]) ).

tcf(c_256942,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(u(iPr_def_10,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_247589]) ).

tcf(c_256943,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(u(iPr_def_12,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_247598]) ).

tcf(c_256944,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(u(iPr_def_14,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_247607]) ).

tcf(c_256945,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(u(iPr_def_16,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_247616]) ).

tcf(c_256946,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(u(iPr_def_17,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_248336]) ).

tcf(c_256947,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(u(iPr_def_18,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_248354]) ).

tcf(c_256948,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(u(iPr_def_18,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_248345]) ).

tcf(c_256949,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(u(iPr_def_15,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249366]) ).

tcf(c_256950,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(u(iPr_def_15,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_248366]) ).

tcf(c_256951,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(u(iPr_def_20,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249420]) ).

tcf(c_256952,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(u(iPr_def_21,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249980]) ).

tcf(c_256953,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(u(iPr_def_21,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249724]) ).

tcf(c_256954,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(u(iPr_def_21,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249705]) ).

tcf(c_256955,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(u(iPr_def_21,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249437]) ).

tcf(c_256956,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(u(iPr_def_21,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249428]) ).

tcf(c_256957,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(u(iPr_def_13,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_250065]) ).

tcf(c_256958,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(u(iPr_def_13,X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_249985]) ).

tcf(c_256959,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(p(iPr_def_15),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_253162]) ).

tcf(c_256960,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(p(iPr_def_15),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_252816]) ).

tcf(c_256961,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(u(p(iPr_def_15),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_254773]) ).

tcf(c_256962,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(u(p(iPr_def_15),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_254332]) ).

tcf(c_256963,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(p(iPr_def_13),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_242522]) ).

tcf(c_256964,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(p(iPr_def_13),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_241745]) ).

tcf(c_256965,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(p(iPr_def_13),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_241734]) ).

tcf(c_256966,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(p(iPr_def_10),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_241712]) ).

tcf(c_256967,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(p(iPr_def_19),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_241723]) ).

tcf(c_256968,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(u(p(iPr_def_10),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_251822]) ).

tcf(c_256969,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(u(p(iPr_def_19),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_252172]) ).

tcf(c_256970,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(u(p(iPr_def_13),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_252240]) ).

tcf(c_256971,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(u(p(iPr_def_13),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_252195]) ).

tcf(c_256972,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(u(p(iPr_def_13),X1),X0))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_255390,c_252186]) ).

tcf(c_257031,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_21)
    | ~ atleast2p(iPr_def_21) ),
    inference(light_normalisation,[status(thm)],[c_256874,c_180980]) ).

tcf(c_257032,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_20)
    | ~ atleast2p(iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_256873,c_667]) ).

tcf(c_257036,plain,
    ( atleast3p(iPr_def_10)
    | subq(iPr_def_10,iPr_def_10)
    | ~ atleast2p(iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_256870,c_183365]) ).

tcf(c_257122,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(u(X0,iPr_def_18),iPr_def_21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_256899,c_185435]) ).

tcf(c_257182,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_15))
    | ( u(iPr_def_21,iPr_def_15) = iPr_def_15 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_256932,c_182803]) ).

tcf(c_257185,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_18))
    | ( u(iPr_def_21,iPr_def_18) = iPr_def_18 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_256931,c_185435]) ).

tcf(c_257232,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,X0))
      | ( u(X1,X0) = X0 )
      | ~ atleast2p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_256882,c_254989]) ).

tcf(c_257419,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,X1) = X1 )
      | ( sK0(s(u(X0,X1)),p(X1)) = u(X0,X1) ) ),
    inference(superposition,[status(thm)],[c_198897,c_255391]) ).

tcf(c_257420,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,p(X0)))
      | ( u(X1,p(X0)) = p(X0) )
      | ~ mem(X0,u(X1,p(X0))) ),
    inference(superposition,[status(thm)],[c_64,c_255391]) ).

tcf(c_257421,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_19))
      | ( u(X0,iPr_def_19) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_255391]) ).

tcf(c_257422,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,iPr_def_19))
      | ( u(X0,iPr_def_19) = iPr_def_19 )
      | ( sK0(s(u(X0,iPr_def_19)),p(iPr_def_21)) = u(X0,iPr_def_19) )
      | ~ atleast3p(u(X0,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_202546,c_255391]) ).

tcf(c_257423,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,iPr_def_19))
      | ( u(X0,iPr_def_19) = iPr_def_19 )
      | ( sK0(iPr_def_17,u(X0,iPr_def_19)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_255391]) ).

tcf(c_257424,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | ( u(X0,iPr_def_13) = iPr_def_13 )
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_13))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_255391]) ).

tcf(c_257425,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,X0))
      | ( u(X0,X0) = X0 )
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_255391]) ).

tcf(c_257426,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_12))
    | ( u(iPr_def_15,iPr_def_12) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_255391]) ).

tcf(c_257428,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_16))
    | ( u(iPr_def_18,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_255391]) ).

tcf(c_257430,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_14))
    | ( u(iPr_def_15,iPr_def_14) = iPr_def_14 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_255391]) ).

tcf(c_257431,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_17))
    | ( u(iPr_def_18,iPr_def_17) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_255391]) ).

tcf(c_257432,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_20))
    | ( u(iPr_def_21,iPr_def_20) = iPr_def_20 )
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_255391]) ).

tcf(c_257433,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_16))
    | ( u(iPr_def_21,iPr_def_16) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_255391]) ).

tcf(c_257434,plain,
    ( atleast3p(u(iPr_def_13,iPr_def_10))
    | ( u(iPr_def_13,iPr_def_10) = iPr_def_10 )
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_255391]) ).

tcf(c_257435,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_17))
    | ( u(iPr_def_21,iPr_def_17) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_255391]) ).

tcf(c_257436,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_12))
    | ( u(iPr_def_21,iPr_def_12) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_255391]) ).

tcf(c_257437,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_14))
    | ( u(iPr_def_21,iPr_def_14) = iPr_def_14 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_255391]) ).

tcf(c_257439,plain,
    ( ( u(iPr_def_12,iPr_def_14) = iPr_def_14 )
    | ~ subq(iPr_def_15,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_661,c_255391]) ).

tcf(c_257440,plain,
    ( ( u(iPr_def_16,iPr_def_17) = iPr_def_17 )
    | ~ subq(iPr_def_18,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_664,c_255391]) ).

tcf(c_257441,plain,
    ( ( u(iPr_def_18,iPr_def_20) = iPr_def_20 )
    | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_667,c_255391]) ).

tcf(c_257443,plain,
    ( ( u(iPr_def_10,iPr_def_12) = iPr_def_12 )
    | ~ subq(iPr_def_13,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_183363,c_255391]) ).

tcf(c_257618,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | subq(u(X0,iPr_def_15),iPr_def_14)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_255002,c_65]) ).

tcf(c_257619,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_15) = iPr_def_14 )
      | ~ subq(u(X0,iPr_def_15),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_255002,c_52]) ).

tcf(c_257635,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(u(X0,iPr_def_18),iPr_def_17)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_255003,c_65]) ).

tcf(c_257636,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_18) = iPr_def_17 )
      | ~ subq(u(X0,iPr_def_18),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_255003,c_52]) ).

tcf(c_257637,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | mem(iPr_def_10,u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_255003,c_188459]) ).

tcf(c_257657,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_20)
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_255004,c_65]) ).

tcf(c_257658,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_20 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_255004,c_52]) ).

tcf(c_257673,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_16)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_255010,c_65]) ).

tcf(c_257674,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_16 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_255010,c_52]) ).

tcf(c_257691,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_14 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_14)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244481]) ).

tcf(c_257702,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_12)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244520]) ).

tcf(c_257703,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(s(m(iPr_def_16,X0)),iPr_def_19) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(light_normalisation,[status(thm)],[c_257702,c_665]) ).

tcf(c_257722,plain,
    ! [X0: $i] :
      ( ( s(e) = iPr_def_13 )
      | ( sK0(s(e),iPr_def_13) = e )
      | ( sK0(iPr_def_14,m(p(iPr_def_10),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_656,c_221749]) ).

tcf(c_257723,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_13) = iPr_def_13 )
      | ( sK0(s(iPr_def_13),iPr_def_13) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_14),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193293,c_221749]) ).

tcf(c_257725,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_12) = iPr_def_13 )
      | ( sK0(s(iPr_def_12),iPr_def_13) = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_193015,c_221749]) ).

tcf(c_257727,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_16) = iPr_def_13 )
      | ( sK0(s(iPr_def_16),iPr_def_13) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_17),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_192554,c_221749]) ).

tcf(c_257729,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_19) = iPr_def_13 )
      | ( sK0(s(iPr_def_19),iPr_def_13) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_20),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_666,c_221749]) ).

tcf(c_257730,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_10) = iPr_def_13 )
      | ( sK0(s(iPr_def_10),iPr_def_13) = iPr_def_10 )
      | ( sK0(iPr_def_14,m(p(iPr_def_12),X0)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_183366,c_221749]) ).

tcf(c_257731,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(p(s(X0)),X1))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ~ mem(iPr_def_13,m(p(s(X0)),X1)) ),
    inference(superposition,[status(thm)],[c_221749,c_49]) ).

tcf(c_257735,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(p(s(X0)),X1))
      | ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 ) ),
    inference(superposition,[status(thm)],[c_221749,c_186953]) ).

tcf(c_257738,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(s(X1)),X2))
      | ( s(X1) = iPr_def_13 )
      | ( sK0(s(X1),iPr_def_13) = X1 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_221749,c_181283]) ).

tcf(c_257739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(s(X1)),X2))
      | ( s(X1) = iPr_def_13 )
      | ( sK0(s(X1),iPr_def_13) = X1 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_221749,c_183082]) ).

tcf(c_257740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(s(X1)),X2))
      | ( s(X1) = iPr_def_13 )
      | ( sK0(s(X1),iPr_def_13) = X1 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_221749,c_183910]) ).

tcf(c_257741,plain,
    ! [X0: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 )
      | ( sK0(iPr_def_14,m(iPr_def_19,X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_257730,c_665,c_183366]) ).

tcf(c_257745,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_20 )
      | ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(iPr_def_20),X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_257729,c_666]) ).

tcf(c_257749,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_17 )
      | ( sK0(iPr_def_17,iPr_def_13) = iPr_def_16 )
      | ( sK0(iPr_def_14,m(p(iPr_def_17),X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_257727,c_192554]) ).

tcf(c_257753,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_16,iPr_def_13) = iPr_def_12 )
      | ( sK0(iPr_def_14,m(p(iPr_def_16),X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_257725,c_193015]) ).

tcf(c_257757,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(iPr_def_14,iPr_def_13) = iPr_def_13 )
      | ( sK0(iPr_def_14,m(p(iPr_def_14),X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_257723,c_193293]) ).

tcf(c_257761,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_10,iPr_def_13) = e )
      | ( sK0(iPr_def_14,m(p(iPr_def_10),X0)) = iPr_def_13 ) ),
    inference(light_normalisation,[status(thm)],[c_257722,c_656]) ).

tcf(c_257796,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | ( u(X0,iPr_def_15) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_12,u(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_256355,c_52]) ).

tcf(c_257797,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | subq(u(X0,iPr_def_15),iPr_def_15)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_231986]) ).

tcf(c_257798,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,iPr_def_15))
      | mem(u(X1,iPr_def_15),X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_256355,c_207878]) ).

tcf(c_257800,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | mem(u(X0,iPr_def_15),iPr_def_19)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_180993]) ).

tcf(c_257801,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | atleast3p(u(s(X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_240675]) ).

tcf(c_257802,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_12)
      | atleast3p(u(u(s(X0),X1),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_251778]) ).

tcf(c_257803,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_10,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_233461]) ).

tcf(c_257804,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_19,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_233455]) ).

tcf(c_257808,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(u(iPr_def_19,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_246518]) ).

tcf(c_257811,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_14,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_233746]) ).

tcf(c_257812,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_16,iPr_def_15))
    | ~ atleast2p(iPr_def_16)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_250521]) ).

tcf(c_257813,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_16,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_233752]) ).

tcf(c_257814,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_17,iPr_def_15))
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_250608]) ).

tcf(c_257815,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_17,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_233913]) ).

tcf(c_257816,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_20,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_251178]) ).

tcf(c_257818,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_20,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_239733]) ).

tcf(c_257819,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_13,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_240291]) ).

tcf(c_257821,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_251146]) ).

tcf(c_257822,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_251130]) ).

tcf(c_257823,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_250638]) ).

tcf(c_257824,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_239411]) ).

tcf(c_257827,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_239389]) ).

tcf(c_257828,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_239380]) ).

tcf(c_257829,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_240215]) ).

tcf(c_257830,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_240188]) ).

tcf(c_257831,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_239758]) ).

tcf(c_257832,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_239750]) ).

tcf(c_257836,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(u(iPr_def_10,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_247589]) ).

tcf(c_257838,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_247607]) ).

tcf(c_257839,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_247616]) ).

tcf(c_257840,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_248336]) ).

tcf(c_257841,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_248354]) ).

tcf(c_257842,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_248345]) ).

tcf(c_257843,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_249366]) ).

tcf(c_257845,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_249420]) ).

tcf(c_257846,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_249980]) ).

tcf(c_257847,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_249724]) ).

tcf(c_257848,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_249705]) ).

tcf(c_257849,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_249437]) ).

tcf(c_257851,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(u(iPr_def_13,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_250065]) ).

tcf(c_257853,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(p(iPr_def_15),iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_253162]) ).

tcf(c_257855,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_15),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_254773]) ).

tcf(c_257857,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(p(iPr_def_13),iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_242522]) ).

tcf(c_257858,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(p(iPr_def_13),iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_241745]) ).

tcf(c_257861,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(p(iPr_def_19),iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_241723]) ).

tcf(c_257863,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_252172]) ).

tcf(c_257864,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_252240]) ).

tcf(c_257865,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_252195]) ).

tcf(c_257888,plain,
    ( atleast3p(u(iPr_def_13,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257819,c_185745]) ).

tcf(c_257906,plain,
    ( atleast3p(u(iPr_def_19,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257804,c_185745]) ).

tcf(c_257909,plain,
    ( atleast3p(u(iPr_def_10,iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257803,c_185745]) ).

tcf(c_257924,plain,
    ( atleast3p(u(p(iPr_def_15),iPr_def_15))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257853,c_185745]) ).

tcf(c_257930,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_13,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257851,c_185745]) ).

tcf(c_257966,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_10,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257836,c_185745]) ).

tcf(c_257972,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_19,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257808,c_185745]) ).

tcf(c_257993,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(p(iPr_def_15),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257855,c_185745]) ).

tcf(c_258039,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | ( u(X0,iPr_def_15) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_257796,c_254997]) ).

tcf(c_258260,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_15) = iPr_def_12 )
      | ( sK0(s(u(X0,iPr_def_15)),p(iPr_def_12)) = u(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_256356]) ).

tcf(c_258261,plain,
    ( atleast3p(u(iPr_def_12,iPr_def_15))
    | ( u(iPr_def_12,iPr_def_15) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231138,c_256356]) ).

tcf(c_258262,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_15))
    | ( u(iPr_def_15,iPr_def_15) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_256356]) ).

tcf(c_258264,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_15))
    | ( u(iPr_def_21,iPr_def_15) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_256356]) ).

tcf(c_258274,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_15) = iPr_def_12 )
      | ( sK0(s(u(X0,iPr_def_15)),iPr_def_19) = u(X0,iPr_def_15) ) ),
    inference(light_normalisation,[status(thm)],[c_258260,c_665]) ).

tcf(c_258290,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | ( u(X0,iPr_def_18) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_256388,c_52]) ).

tcf(c_258291,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | atleast3p(u(s(X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_240675]) ).

tcf(c_258292,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(u(X0,iPr_def_18),iPr_def_18)
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_231928]) ).

tcf(c_258293,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_16)
      | atleast3p(u(u(s(X0),X1),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_251778]) ).

tcf(c_258294,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_10,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_233461]) ).

tcf(c_258295,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_19,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_233455]) ).

tcf(c_258298,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(u(iPr_def_19,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_246518]) ).

tcf(c_258300,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_12,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_233740]) ).

tcf(c_258301,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_14,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_233746]) ).

tcf(c_258302,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_16,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_250521]) ).

tcf(c_258305,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_17,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_233913]) ).

tcf(c_258306,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_20,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_251178]) ).

tcf(c_258307,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_20,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_251165]) ).

tcf(c_258308,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_20,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239733]) ).

tcf(c_258309,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_240291]) ).

tcf(c_258312,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_251130]) ).

tcf(c_258313,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_250638]) ).

tcf(c_258314,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239411]) ).

tcf(c_258315,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239401]) ).

tcf(c_258316,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_243737]) ).

tcf(c_258318,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239380]) ).

tcf(c_258319,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_240215]) ).

tcf(c_258321,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239758]) ).

tcf(c_258322,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239750]) ).

tcf(c_258323,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_239741]) ).

tcf(c_258326,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(u(iPr_def_10,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_247589]) ).

tcf(c_258327,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_247598]) ).

tcf(c_258328,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_247607]) ).

tcf(c_258330,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_248336]) ).

tcf(c_258332,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_248345]) ).

tcf(c_258333,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_249366]) ).

tcf(c_258334,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_248366]) ).

tcf(c_258335,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_249420]) ).

tcf(c_258336,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_249980]) ).

tcf(c_258338,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_249705]) ).

tcf(c_258339,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_249437]) ).

tcf(c_258340,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_249428]) ).

tcf(c_258341,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(u(iPr_def_13,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_250065]) ).

tcf(c_258343,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(p(iPr_def_15),iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_253162]) ).

tcf(c_258345,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_15),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_254773]) ).

tcf(c_258347,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(p(iPr_def_13),iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_242522]) ).

tcf(c_258349,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(p(iPr_def_13),iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_241734]) ).

tcf(c_258350,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(p(iPr_def_10),iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_241712]) ).

tcf(c_258351,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(p(iPr_def_19),iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_241723]) ).

tcf(c_258352,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_251822]) ).

tcf(c_258353,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_252172]) ).

tcf(c_258354,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_252240]) ).

tcf(c_258356,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_252186]) ).

tcf(c_258381,plain,
    ( atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258309,c_188033]) ).

tcf(c_258399,plain,
    ( atleast3p(u(iPr_def_19,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258295,c_188033]) ).

tcf(c_258402,plain,
    ( atleast3p(u(iPr_def_10,iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258294,c_188033]) ).

tcf(c_258417,plain,
    ( atleast3p(u(p(iPr_def_15),iPr_def_18))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258343,c_188033]) ).

tcf(c_258426,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_13,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258341,c_188033]) ).

tcf(c_258462,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_10,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258326,c_188033]) ).

tcf(c_258469,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_19,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258298,c_188033]) ).

tcf(c_258487,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(p(iPr_def_15),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258345,c_188033]) ).

tcf(c_258518,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | ( u(X0,iPr_def_18) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258290,c_254998]) ).

tcf(c_258608,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_18) = iPr_def_16 )
      | ( sK0(s(u(X0,iPr_def_18)),p(iPr_def_16)) = u(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198897,c_256389]) ).

tcf(c_258609,plain,
    ( atleast3p(u(iPr_def_16,iPr_def_18))
    | ( u(iPr_def_16,iPr_def_18) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231138,c_256389]) ).

tcf(c_258610,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_18))
    | ( u(iPr_def_18,iPr_def_18) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_256389]) ).

tcf(c_258612,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_18))
    | ( u(iPr_def_21,iPr_def_18) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_256389]) ).

tcf(c_258625,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,u(X0,iPr_def_13))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_255014,c_202827]) ).

tcf(c_258626,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,u(X0,iPr_def_13))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_255014,c_202514]) ).

tcf(c_258627,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,u(X0,iPr_def_13))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_255014,c_202427]) ).

tcf(c_258628,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,u(X0,iPr_def_13))
      | ( sK0(s(iPr_def_10),p(iPr_def_21)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_255014,c_202290]) ).

tcf(c_258630,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | subq(u(X0,iPr_def_13),iPr_def_10)
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_255014,c_65]) ).

tcf(c_258631,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_10 )
      | ~ subq(u(X0,iPr_def_13),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_255014,c_52]) ).

tcf(c_258648,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_17)
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_255019,c_65]) ).

tcf(c_258649,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_17 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_255019,c_52]) ).

tcf(c_258667,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_15)
      | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_255021,c_65]) ).

tcf(c_258668,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_15 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_255021,c_52]) ).

tcf(c_258678,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_15) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258667,c_182803]) ).

tcf(c_258687,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_12)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_255022,c_65]) ).

tcf(c_258688,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_12 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_255022,c_52]) ).

tcf(c_258765,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_16,X0)),p(iPr_def_15)) = m(iPr_def_16,X0) )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_244621]) ).

tcf(c_258788,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(p(iPr_def_10),X0))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ mem(iPr_def_13,m(p(iPr_def_10),X0)) ),
    inference(superposition,[status(thm)],[c_221752,c_49]) ).

tcf(c_258792,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,m(p(iPr_def_10),X0))
      | ( iPr_def_10 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_221752,c_186953]) ).

tcf(c_258795,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(iPr_def_10),X1))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_221752,c_181283]) ).

tcf(c_258796,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(iPr_def_10),X1))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_221752,c_183082]) ).

tcf(c_258797,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(p(iPr_def_10),X1))
      | ( iPr_def_10 = iPr_def_13 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_221752,c_183910]) ).

tcf(c_258817,plain,
    ( subq(iPr_def_21,iPr_def_15)
    | atleast3p(u(iPr_def_15,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_180980,c_258678]) ).

tcf(c_258824,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_15 )
      | ~ subq(iPr_def_15,u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_52]) ).

tcf(c_258825,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | atleast3p(u(s(X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_240675]) ).

tcf(c_258826,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_15)
      | atleast3p(u(u(s(X0),X1),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_251778]) ).

tcf(c_258827,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_10,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_233461]) ).

tcf(c_258828,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_19,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_233455]) ).

tcf(c_258831,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_21))
    | ( u(iPr_def_15,iPr_def_21) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_258678,c_231139]) ).

tcf(c_258832,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(u(iPr_def_19,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_246518]) ).

tcf(c_258836,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_16,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_258678,c_250521]) ).

tcf(c_258837,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_16,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_233752]) ).

tcf(c_258838,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_17,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258678,c_250608]) ).

tcf(c_258839,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_233913]) ).

tcf(c_258842,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | atleast3p(u(iPr_def_20,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_239733]) ).

tcf(c_258843,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_13,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_240291]) ).

tcf(c_258845,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_258678,c_251146]) ).

tcf(c_258846,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_258678,c_251130]) ).

tcf(c_258847,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_258678,c_250638]) ).

tcf(c_258851,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_239389]) ).

tcf(c_258852,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_239380]) ).

tcf(c_258854,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_240188]) ).

tcf(c_258855,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_239758]) ).

tcf(c_258856,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_239750]) ).

tcf(c_258859,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(u(iPr_def_10,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_247589]) ).

tcf(c_258862,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_247616]) ).

tcf(c_258863,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_248336]) ).

tcf(c_258864,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_248354]) ).

tcf(c_258865,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_248345]) ).

tcf(c_258868,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_249420]) ).

tcf(c_258870,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_249724]) ).

tcf(c_258871,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_249705]) ).

tcf(c_258872,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_249437]) ).

tcf(c_258874,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(u(iPr_def_13,X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_250065]) ).

tcf(c_258876,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(p(iPr_def_15),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_253162]) ).

tcf(c_258878,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(u(p(iPr_def_15),X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_254773]) ).

tcf(c_258881,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(p(iPr_def_13),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_241745]) ).

tcf(c_258884,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | atleast3p(u(p(iPr_def_19),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_241723]) ).

tcf(c_258886,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_252172]) ).

tcf(c_258888,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_252195]) ).

tcf(c_258900,plain,
    atleast3p(u(iPr_def_13,iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258843,c_186043]) ).

tcf(c_258909,plain,
    atleast3p(u(iPr_def_19,iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258828,c_186043]) ).

tcf(c_258910,plain,
    atleast3p(u(iPr_def_10,iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258827,c_186043]) ).

tcf(c_258911,plain,
    ( atleast3p(iPr_def_21)
    | subq(iPr_def_21,iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_258817,c_180980]) ).

tcf(c_258918,plain,
    atleast3p(u(p(iPr_def_15),iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258876,c_186043]) ).

tcf(c_258921,plain,
    ! [X0: $i] : atleast3p(u(u(iPr_def_13,X0),iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258874,c_186043]) ).

tcf(c_258938,plain,
    ! [X0: $i] : atleast3p(u(u(iPr_def_10,X0),iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258859,c_186043]) ).

tcf(c_258941,plain,
    ! [X0: $i] : atleast3p(u(u(iPr_def_19,X0),iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258832,c_186043]) ).

tcf(c_258948,plain,
    ! [X0: $i] : atleast3p(u(u(p(iPr_def_15),X0),iPr_def_21)),
    inference(forward_subsumption_resolution,[status(thm)],[c_258878,c_186043]) ).

tcf(c_258951,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_258847,c_180980]) ).

tcf(c_258952,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_258846,c_180980]) ).

tcf(c_258953,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_15)
    | ~ atleast3p(iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_258845,c_180980]) ).

tcf(c_258960,plain,
    ( atleast3p(iPr_def_21)
    | ( iPr_def_15 = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_258831,c_180980]) ).

tcf(c_258963,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_15 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_258824,c_255021]) ).

tcf(c_259060,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_18 )
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_18)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_256405]) ).

tcf(c_259061,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_21))
    | ( u(iPr_def_18,iPr_def_21) = iPr_def_18 )
    | ~ atleast2p(iPr_def_18) ),
    inference(superposition,[status(thm)],[c_231138,c_256405]) ).

tcf(c_259062,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_18 )
    | ~ subq(iPr_def_21,iPr_def_18) ),
    inference(superposition,[status(thm)],[c_180980,c_256405]) ).

tcf(c_259064,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_21))
    | ( u(iPr_def_18,iPr_def_21) = iPr_def_18 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259061,c_185435]) ).

tcf(c_259070,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | ~ atleast2p(iPr_def_12) ),
    inference(global_subsumption_just,[status(thm)],[c_256424,c_137297]) ).

tcf(c_259076,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(X1,iPr_def_13)),p(iPr_def_21)) = u(X1,iPr_def_13) )
      | ( sK0(iPr_def_12,m(X0,u(X1,iPr_def_13))) = iPr_def_10 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_259070,c_220152]) ).

tcf(c_259077,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(X1,iPr_def_13)),p(iPr_def_21)) = u(X1,iPr_def_13) )
      | ( sK0(iPr_def_20,m(X0,u(X1,iPr_def_13))) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_259070,c_219246]) ).

tcf(c_259078,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(X1,iPr_def_13)),p(iPr_def_21)) = u(X1,iPr_def_13) )
      | ( sK0(iPr_def_17,m(X0,u(X1,iPr_def_13))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_259070,c_218749]) ).

tcf(c_259079,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(X1,iPr_def_13)),p(iPr_def_21)) = u(X1,iPr_def_13) )
      | ( sK0(iPr_def_16,m(X0,u(X1,iPr_def_13))) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_259070,c_218515]) ).

tcf(c_259080,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(X1,iPr_def_13)),p(iPr_def_21)) = u(X1,iPr_def_13) )
      | ( sK0(iPr_def_14,m(X0,u(X1,iPr_def_13))) = iPr_def_13 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_259070,c_218103]) ).

tcf(c_259081,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_21 )
      | ( sK0(s(u(X0,iPr_def_13)),p(iPr_def_21)) = u(X0,iPr_def_13) )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_259070,c_202915]) ).

tcf(c_259121,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_12 )
      | ( sK0(s(u(X0,iPr_def_13)),p(iPr_def_12)) = u(X0,iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_256425]) ).

tcf(c_259122,plain,
    ( atleast3p(u(iPr_def_12,iPr_def_13))
    | ( u(iPr_def_12,iPr_def_13) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231138,c_256425]) ).

tcf(c_259123,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_13))
    | ( u(iPr_def_15,iPr_def_13) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_256425]) ).

tcf(c_259124,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_13))
    | ( u(iPr_def_21,iPr_def_13) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_256425]) ).

tcf(c_259134,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_12 )
      | ( sK0(s(u(X0,iPr_def_13)),iPr_def_19) = u(X0,iPr_def_13) ) ),
    inference(light_normalisation,[status(thm)],[c_259121,c_665]) ).

tcf(c_259166,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_13,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_13,iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_13,iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258900,c_220152]) ).

tcf(c_259167,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_13,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_13,iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_13,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258900,c_219246]) ).

tcf(c_259168,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_13,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_13,iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_13,iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258900,c_218749]) ).

tcf(c_259169,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_13,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_13,iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_13,iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258900,c_218515]) ).

tcf(c_259170,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_13,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_13,iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_13,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258900,c_218103]) ).

tcf(c_259171,plain,
    ( ( u(iPr_def_13,iPr_def_21) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_13,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_13,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258900,c_202915]) ).

tcf(c_259189,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_19,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_19,iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_19,iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258909,c_220152]) ).

tcf(c_259190,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_19,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_19,iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_19,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258909,c_219246]) ).

tcf(c_259191,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_19,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_19,iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_19,iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258909,c_218749]) ).

tcf(c_259192,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_19,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_19,iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_19,iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258909,c_218515]) ).

tcf(c_259193,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_19,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_19,iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_19,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258909,c_218103]) ).

tcf(c_259194,plain,
    ( ( u(iPr_def_19,iPr_def_21) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_19,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_19,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258909,c_202915]) ).

tcf(c_259249,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_10,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_10,iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_10,iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258910,c_220152]) ).

tcf(c_259250,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_10,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_10,iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_10,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258910,c_219246]) ).

tcf(c_259251,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_10,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_10,iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_10,iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258910,c_218749]) ).

tcf(c_259252,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_10,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_10,iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_10,iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258910,c_218515]) ).

tcf(c_259253,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_10,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_10,iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_10,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258910,c_218103]) ).

tcf(c_259254,plain,
    ( ( u(iPr_def_10,iPr_def_21) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_10,iPr_def_21)),p(iPr_def_21)) = u(iPr_def_10,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258910,c_202915]) ).

tcf(c_259309,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_14)
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_255023,c_65]) ).

tcf(c_259310,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_14 )
      | ~ subq(u(X0,iPr_def_21),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_255023,c_52]) ).

tcf(c_259341,plain,
    ! [X0: $i] :
      ( ( s(e) = iPr_def_19 )
      | ( sK0(s(e),iPr_def_19) = e )
      | ( sK0(iPr_def_20,m(p(iPr_def_10),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_656,c_222498]) ).

tcf(c_259349,plain,
    ! [X0: $i] :
      ( ( s(iPr_def_10) = iPr_def_19 )
      | ( sK0(s(iPr_def_10),iPr_def_19) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(iPr_def_12),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_183366,c_222498]) ).

tcf(c_259350,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(p(s(X0)),X1))
      | ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ~ mem(iPr_def_19,m(p(s(X0)),X1)) ),
    inference(superposition,[status(thm)],[c_222498,c_49]) ).

tcf(c_259352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(s(X1)),X2))
      | ( s(X1) = iPr_def_19 )
      | ( sK0(s(X1),iPr_def_19) = X1 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_222498,c_181283]) ).

tcf(c_259354,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(s(X0)),X1))
      | ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 ) ),
    inference(superposition,[status(thm)],[c_222498,c_188300]) ).

tcf(c_259356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(s(X1)),X2))
      | ( s(X1) = iPr_def_19 )
      | ( sK0(s(X1),iPr_def_19) = X1 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222498,c_183272]) ).

tcf(c_259358,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_10,iPr_def_19) = e )
      | ( sK0(iPr_def_20,m(p(iPr_def_10),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_259341,c_656]) ).

tcf(c_259388,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | ( u(X0,iPr_def_15) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14)
      | ~ subq(iPr_def_14,u(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_257618,c_52]) ).

tcf(c_259389,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | atleast3p(u(s(X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_240675]) ).

tcf(c_259390,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_14)
      | atleast3p(u(u(s(X0),X1),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_251778]) ).

tcf(c_259392,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_10,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_233461]) ).

tcf(c_259393,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_19,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_233455]) ).

tcf(c_259396,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(u(iPr_def_19,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_246518]) ).

tcf(c_259398,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_12,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_233740]) ).

tcf(c_259400,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_16,iPr_def_15))
    | ~ atleast2p(iPr_def_16)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_250521]) ).

tcf(c_259401,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_16,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_233752]) ).

tcf(c_259402,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_17,iPr_def_15))
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_250608]) ).

tcf(c_259403,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_17,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_233913]) ).

tcf(c_259405,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_20,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_251165]) ).

tcf(c_259406,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_20,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239733]) ).

tcf(c_259407,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_13,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_240291]) ).

tcf(c_259409,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_251146]) ).

tcf(c_259410,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_251130]) ).

tcf(c_259411,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_250638]) ).

tcf(c_259413,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239401]) ).

tcf(c_259414,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_243737]) ).

tcf(c_259415,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239389]) ).

tcf(c_259416,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239380]) ).

tcf(c_259418,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_240188]) ).

tcf(c_259419,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239758]) ).

tcf(c_259420,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239750]) ).

tcf(c_259421,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_239741]) ).

tcf(c_259424,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(u(iPr_def_10,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_247589]) ).

tcf(c_259425,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_247598]) ).

tcf(c_259427,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_247616]) ).

tcf(c_259428,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_248336]) ).

tcf(c_259429,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_248354]) ).

tcf(c_259430,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_248345]) ).

tcf(c_259432,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_248366]) ).

tcf(c_259433,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_249420]) ).

tcf(c_259435,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_249724]) ).

tcf(c_259436,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_249705]) ).

tcf(c_259437,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_249437]) ).

tcf(c_259438,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_249428]) ).

tcf(c_259439,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(u(iPr_def_13,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_250065]) ).

tcf(c_259441,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(p(iPr_def_15),iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_253162]) ).

tcf(c_259443,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_15),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_254773]) ).

tcf(c_259446,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(p(iPr_def_13),iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_241745]) ).

tcf(c_259447,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(p(iPr_def_13),iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_241734]) ).

tcf(c_259448,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(p(iPr_def_10),iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_241712]) ).

tcf(c_259449,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(p(iPr_def_19),iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_241723]) ).

tcf(c_259450,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_251822]) ).

tcf(c_259451,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_252172]) ).

tcf(c_259453,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_252195]) ).

tcf(c_259454,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_252186]) ).

tcf(c_259479,plain,
    ( atleast3p(u(iPr_def_13,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259407,c_188023]) ).

tcf(c_259497,plain,
    ( atleast3p(u(iPr_def_19,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259393,c_188023]) ).

tcf(c_259500,plain,
    ( atleast3p(u(iPr_def_10,iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259392,c_188023]) ).

tcf(c_259518,plain,
    ( atleast3p(u(p(iPr_def_15),iPr_def_15))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259441,c_188023]) ).

tcf(c_259527,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_13,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259439,c_188023]) ).

tcf(c_259563,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_10,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259424,c_188023]) ).

tcf(c_259573,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_19,X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259396,c_188023]) ).

tcf(c_259591,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(p(iPr_def_15),X0),iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259443,c_188023]) ).

tcf(c_259630,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | ( u(X0,iPr_def_15) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259388,c_255002]) ).

tcf(c_259785,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_15) = iPr_def_14 )
      | ( sK0(s(u(X0,iPr_def_15)),p(iPr_def_14)) = u(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_257619]) ).

tcf(c_259786,plain,
    ( atleast3p(u(iPr_def_14,iPr_def_15))
    | ( u(iPr_def_14,iPr_def_15) = iPr_def_14 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_231138,c_257619]) ).

tcf(c_259787,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_15))
    | ( u(iPr_def_15,iPr_def_15) = iPr_def_14 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_257619]) ).

tcf(c_259789,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_15))
    | ( u(iPr_def_21,iPr_def_15) = iPr_def_14 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_257619]) ).

tcf(c_259888,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | ( u(X0,iPr_def_18) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_257635,c_52]) ).

tcf(c_259889,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | atleast3p(u(s(X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_240675]) ).

tcf(c_259890,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_17)
      | atleast3p(u(u(s(X0),X1),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_251778]) ).

tcf(c_259891,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_10,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_233461]) ).

tcf(c_259892,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_19,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_233455]) ).

tcf(c_259895,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(u(iPr_def_19,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_246518]) ).

tcf(c_259897,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_12,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_233740]) ).

tcf(c_259898,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_14,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_233746]) ).

tcf(c_259900,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_16,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_233752]) ).

tcf(c_259901,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_17,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_250608]) ).

tcf(c_259903,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_20,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_251178]) ).

tcf(c_259904,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_20,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_251165]) ).

tcf(c_259905,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_20,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_239733]) ).

tcf(c_259906,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_240291]) ).

tcf(c_259908,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_251146]) ).

tcf(c_259909,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_251130]) ).

tcf(c_259911,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_239411]) ).

tcf(c_259912,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_239401]) ).

tcf(c_259913,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_243737]) ).

tcf(c_259914,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_239389]) ).

tcf(c_259916,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_240215]) ).

tcf(c_259917,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_240188]) ).

tcf(c_259918,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_239758]) ).

tcf(c_259920,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_239741]) ).

tcf(c_259923,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(u(iPr_def_10,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_247589]) ).

tcf(c_259924,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_247598]) ).

tcf(c_259925,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_247607]) ).

tcf(c_259926,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_247616]) ).

tcf(c_259928,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_248354]) ).

tcf(c_259930,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_249366]) ).

tcf(c_259931,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_248366]) ).

tcf(c_259932,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_249420]) ).

tcf(c_259933,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_249980]) ).

tcf(c_259934,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_249724]) ).

tcf(c_259935,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_249705]) ).

tcf(c_259937,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_249428]) ).

tcf(c_259938,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(u(iPr_def_13,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_250065]) ).

tcf(c_259940,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(p(iPr_def_15),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_253162]) ).

tcf(c_259942,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_15),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_254773]) ).

tcf(c_259944,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(p(iPr_def_13),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_242522]) ).

tcf(c_259945,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(p(iPr_def_13),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_241745]) ).

tcf(c_259946,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(p(iPr_def_13),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_241734]) ).

tcf(c_259947,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(p(iPr_def_10),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_241712]) ).

tcf(c_259948,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(p(iPr_def_19),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_241723]) ).

tcf(c_259949,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_251822]) ).

tcf(c_259950,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_252172]) ).

tcf(c_259951,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_252240]) ).

tcf(c_259952,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_252195]) ).

tcf(c_259953,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_252186]) ).

tcf(c_259978,plain,
    ( atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259906,c_189349]) ).

tcf(c_259999,plain,
    ( atleast3p(u(iPr_def_19,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259892,c_189349]) ).

tcf(c_260002,plain,
    ( atleast3p(u(iPr_def_10,iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259891,c_189349]) ).

tcf(c_260023,plain,
    ( atleast3p(u(p(iPr_def_15),iPr_def_18))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259940,c_189349]) ).

tcf(c_260032,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_13,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259938,c_189349]) ).

tcf(c_260068,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_10,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259923,c_189349]) ).

tcf(c_260078,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(iPr_def_19,X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259895,c_189349]) ).

tcf(c_260099,plain,
    ! [X0: $i] :
      ( atleast3p(u(u(p(iPr_def_15),X0),iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259942,c_189349]) ).

tcf(c_260130,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | ( u(X0,iPr_def_18) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_259888,c_255003]) ).

tcf(c_260273,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_18) = iPr_def_17 )
      | ( sK0(s(u(X0,iPr_def_18)),p(iPr_def_17)) = u(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198897,c_257636]) ).

tcf(c_260274,plain,
    ( atleast3p(u(iPr_def_17,iPr_def_18))
    | ( u(iPr_def_17,iPr_def_18) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_231138,c_257636]) ).

tcf(c_260275,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_18))
    | ( u(iPr_def_18,iPr_def_18) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_257636]) ).

tcf(c_260277,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_18))
    | ( u(iPr_def_21,iPr_def_18) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_257636]) ).

tcf(c_260290,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(X0,iPr_def_19),X1) ),
    inference(superposition,[status(thm)],[c_255396,c_51]) ).

tcf(c_260292,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,iPr_def_19))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255396,c_187219]) ).

tcf(c_260293,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,iPr_def_19))
      | subq(u(X0,iPr_def_19),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255396,c_181263]) ).

tcf(c_260298,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(X0,iPr_def_19),X1) ),
    inference(superposition,[status(thm)],[c_255397,c_51]) ).

tcf(c_260300,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(X1,iPr_def_19))) = e,
    inference(superposition,[status(thm)],[c_255397,c_185755]) ).

tcf(c_260304,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(X0,iPr_def_10),X1) ),
    inference(superposition,[status(thm)],[c_255398,c_51]) ).

tcf(c_260306,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(X1,iPr_def_10))) = e,
    inference(superposition,[status(thm)],[c_255398,c_185755]) ).

tcf(c_260310,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(X0,iPr_def_12),X1) ),
    inference(superposition,[status(thm)],[c_255406,c_51]) ).

tcf(c_260312,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,iPr_def_12))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255406,c_189953]) ).

tcf(c_260340,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(iPr_def_10),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_656,c_222507]) ).

tcf(c_260348,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(iPr_def_12),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_183366,c_222507]) ).

tcf(c_260349,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X3)
      | mem(X0,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_59]) ).

tcf(c_260350,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X2)),X3)) = iPr_def_19 )
      | ~ mem(X0,X2)
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_61]) ).

tcf(c_260351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_60]) ).

tcf(c_260352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220151]) ).

tcf(c_260353,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220150]) ).

tcf(c_260354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218514]) ).

tcf(c_260355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218513]) ).

tcf(c_260356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_20,p(X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217799]) ).

tcf(c_260358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_10,m(X2,iPr_def_12)) = e )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216997]) ).

tcf(c_260359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_14,p(X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216996]) ).

tcf(c_260360,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230860]) ).

tcf(c_260361,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X2)),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X2)
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205283]) ).

tcf(c_260362,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_205213]) ).

tcf(c_260363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(iPr_def_12)
      | subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205212]) ).

tcf(c_260364,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | ( sK0(s(m(iPr_def_12,X2)),p(iPr_def_21)) = m(iPr_def_12,X2) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_202832]) ).

tcf(c_260365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(s(m(iPr_def_12,X2)),p(iPr_def_21)) = m(iPr_def_12,X2) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_202519]) ).

tcf(c_260366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(s(m(iPr_def_12,X2)),p(iPr_def_21)) = m(iPr_def_12,X2) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_202432]) ).

tcf(c_260367,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(s(m(iPr_def_12,X2)),p(iPr_def_21)) = m(iPr_def_12,X2) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_202295]) ).

tcf(c_260369,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_205284]) ).

tcf(c_260370,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205070]) ).

tcf(c_260371,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(sK0(X0,X3),iPr_def_12)
      | subq(m(iPr_def_12,X2),X3)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181173]) ).

tcf(c_260374,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_240574]) ).

tcf(c_260375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_15,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240573]) ).

tcf(c_260376,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231985]) ).

tcf(c_260377,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X0)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_12,X2))) = iPr_def_10 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_220181]) ).

tcf(c_260379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X0)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_17,m(X1,m(iPr_def_12,X2))) = iPr_def_16 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_218772]) ).

tcf(c_260380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X0)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(X1,m(iPr_def_12,X2))) = iPr_def_12 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_218545]) ).

tcf(c_260381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X0)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_12,X2))) = iPr_def_13 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_218124]) ).

tcf(c_260383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(X1)),X3)) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_207719]) ).

tcf(c_260384,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_19)
      | atleast2p(m(iPr_def_12,X0))
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206663]) ).

tcf(c_260385,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(X1)),X3)) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206660]) ).

tcf(c_260386,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(p(s(X1)),X3)) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206641]) ).

tcf(c_260387,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,m(p(s(X1)),X3)) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206622]) ).

tcf(c_260388,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(X1)),X3)) = iPr_def_19 )
      | ~ subq(X1,X2)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206606]) ).

tcf(c_260389,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_213450]) ).

tcf(c_260390,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_212809]) ).

tcf(c_260391,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_210260]) ).

tcf(c_260392,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_209934]) ).

tcf(c_260393,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_13,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_207720]) ).

tcf(c_260394,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_12,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_206661]) ).

tcf(c_260395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_19,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_206642]) ).

tcf(c_260396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast3p(X1)
      | ~ mem(iPr_def_16,X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_206623]) ).

tcf(c_260401,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_206624]) ).

tcf(c_260403,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206355]) ).

tcf(c_260404,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206354]) ).

tcf(c_260405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206353]) ).

tcf(c_260406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206352]) ).

tcf(c_260407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206351]) ).

tcf(c_260408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206350]) ).

tcf(c_260409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206349]) ).

tcf(c_260410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206348]) ).

tcf(c_260411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206160]) ).

tcf(c_260412,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_205307]) ).

tcf(c_260413,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_205287]) ).

tcf(c_260414,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205216]) ).

tcf(c_260415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(e,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_193412]) ).

tcf(c_260417,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(iPr_def_12,iPr_def_12)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_12) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_221627]) ).

tcf(c_260418,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,p(X0)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221626]) ).

tcf(c_260419,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,p(X0)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221625]) ).

tcf(c_260422,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(iPr_def_12,iPr_def_14)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_14) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_218482]) ).

tcf(c_260427,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(iPr_def_12,iPr_def_16)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_16) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_219652]) ).

tcf(c_260430,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(iPr_def_12,iPr_def_17)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_17) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_220038]) ).

tcf(c_260433,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(iPr_def_12,iPr_def_20)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_20) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_221232]) ).

tcf(c_260436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,X0)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205285]) ).

tcf(c_260437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X1,X0)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_205265]) ).

tcf(c_260441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X2 )
      | ( sK0(iPr_def_20,m(p(s(X2)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222507]) ).

tcf(c_260444,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,p(X0)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219701]) ).

tcf(c_260445,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219700]) ).

tcf(c_260446,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(m(iPr_def_12,iPr_def_19)),p(iPr_def_21)) = m(iPr_def_12,iPr_def_19) )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_219702]) ).

tcf(c_260451,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,iPr_def_13))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_221090]) ).

tcf(c_260454,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216995]) ).

tcf(c_260455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_10,m(X2,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216997]) ).

tcf(c_260456,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,iPr_def_15))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_221423]) ).

tcf(c_260458,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,iPr_def_15))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_219047]) ).

tcf(c_260463,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,iPr_def_18))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_220416]) ).

tcf(c_260465,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,iPr_def_18))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_219579]) ).

tcf(c_260467,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_221064]) ).

tcf(c_260468,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_221029]) ).

tcf(c_260471,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_220436]) ).

tcf(c_260472,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218755]) ).

tcf(c_260473,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_219911]) ).

tcf(c_260474,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218512]) ).

tcf(c_260475,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_219069]) ).

tcf(c_260476,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218120]) ).

tcf(c_260477,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219271]) ).

tcf(c_260478,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220179]) ).

tcf(c_260479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_19),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_252172]) ).

tcf(c_260480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_19),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243338]) ).

tcf(c_260481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_10),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_251822]) ).

tcf(c_260482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_10),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_242460]) ).

tcf(c_260483,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243953]) ).

tcf(c_260484,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241822]) ).

tcf(c_260485,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226132]) ).

tcf(c_260486,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226031]) ).

tcf(c_260487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(m(iPr_def_19,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_228697]) ).

tcf(c_260488,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221631]) ).

tcf(c_260489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(X0,iPr_def_12))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221626]) ).

tcf(c_260490,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(m(X0,iPr_def_12))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221625]) ).

tcf(c_260491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,iPr_def_12)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221626]) ).

tcf(c_260492,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,iPr_def_12)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221625]) ).

tcf(c_260493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,p(iPr_def_13))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220182]) ).

tcf(c_260494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,iPr_def_12)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220168]) ).

tcf(c_260495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220166]) ).

tcf(c_260496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,p(iPr_def_10))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220179]) ).

tcf(c_260497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(m(X0,iPr_def_19))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219701]) ).

tcf(c_260498,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(m(X0,iPr_def_16))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219651]) ).

tcf(c_260499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(X0,iPr_def_16))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219650]) ).

tcf(c_260500,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,p(iPr_def_13))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218546]) ).

tcf(c_260501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_15,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230344]) ).

tcf(c_260502,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_17,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230334]) ).

tcf(c_260503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_16,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230335]) ).

tcf(c_260504,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_14,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230336]) ).

tcf(c_260505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(X0,iPr_def_19))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219700]) ).

tcf(c_260506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_12,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230337]) ).

tcf(c_260507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_20,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230333]) ).

tcf(c_260508,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(p(p(e)))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217229]) ).

tcf(c_260509,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(p(p(e)))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216033]) ).

tcf(c_260510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_21,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227789]) ).

tcf(c_260511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_18,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227788]) ).

tcf(c_260512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_15,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227787]) ).

tcf(c_260513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_17,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227777]) ).

tcf(c_260514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_16,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227778]) ).

tcf(c_260515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_14,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227779]) ).

tcf(c_260516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_14,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230336]) ).

tcf(c_260517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_14,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227779]) ).

tcf(c_260518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_20,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227776]) ).

tcf(c_260519,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(p(p(e))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217229]) ).

tcf(c_260520,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(p(p(p(e))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216033]) ).

tcf(c_260521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(p(e),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_203858]) ).

tcf(c_260522,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_18),p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_209621]) ).

tcf(c_260523,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_15),p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_208829]) ).

tcf(c_260524,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_15 )
      | ( m(iPr_def_12,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_15),iPr_def_19))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201326]) ).

tcf(c_260525,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),iPr_def_19))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201303]) ).

tcf(c_260526,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_14 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(iPr_def_14)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201242]) ).

tcf(c_260527,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_15 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(iPr_def_15)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201241]) ).

tcf(c_260528,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_17 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(iPr_def_17)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201236]) ).

tcf(c_260529,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_16 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(iPr_def_16)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201235]) ).

tcf(c_260530,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_20 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(iPr_def_20)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201232]) ).

tcf(c_260531,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_17 = iPr_def_18 )
      | ( m(iPr_def_12,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_18),p(iPr_def_17)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201231]) ).

tcf(c_260532,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_14 = iPr_def_15 )
      | ( m(iPr_def_12,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_15),p(iPr_def_14)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201230]) ).

tcf(c_260533,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_18 = iPr_def_21 )
      | ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(iPr_def_18)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201227]) ).

tcf(c_260534,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_16 = iPr_def_18 )
      | ( m(iPr_def_12,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_18),p(iPr_def_16)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201226]) ).

tcf(c_260535,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(iPr_def_21),p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201212]) ).

tcf(c_260536,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_19,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_226779]) ).

tcf(c_260537,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_19)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_208031]) ).

tcf(c_260538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222678]) ).

tcf(c_260539,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_15)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210087]) ).

tcf(c_260540,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_13))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_222507,c_226134]) ).

tcf(c_260541,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_13))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_222507,c_226033]) ).

tcf(c_260542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X3) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194628]) ).

tcf(c_260543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_17,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230334]) ).

tcf(c_260544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_17,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227777]) ).

tcf(c_260545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_20,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230333]) ).

tcf(c_260546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_20,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227776]) ).

tcf(c_260547,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(iPr_def_17),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222511]) ).

tcf(c_260548,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(iPr_def_14),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222505]) ).

tcf(c_260549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(iPr_def_20),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222506]) ).

tcf(c_260550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_15,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230344]) ).

tcf(c_260551,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_15,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227787]) ).

tcf(c_260552,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_18,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227788]) ).

tcf(c_260553,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_21,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227789]) ).

tcf(c_260554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_249519]) ).

tcf(c_260555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_15),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_254773]) ).

tcf(c_260556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_15),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_253229]) ).

tcf(c_260557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_15),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_254332]) ).

tcf(c_260558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_15),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_252916]) ).

tcf(c_260559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_254773]) ).

tcf(c_260560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_253229]) ).

tcf(c_260561,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_254332]) ).

tcf(c_260562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_252916]) ).

tcf(c_260563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_253162]) ).

tcf(c_260564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_252896]) ).

tcf(c_260565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_252816]) ).

tcf(c_260566,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_252775]) ).

tcf(c_260567,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_15)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217797]) ).

tcf(c_260568,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,iPr_def_19)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219701]) ).

tcf(c_260569,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,iPr_def_19)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219700]) ).

tcf(c_260570,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,iPr_def_16)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219651]) ).

tcf(c_260571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,iPr_def_16)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219650]) ).

tcf(c_260572,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(iPr_def_19)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213584]) ).

tcf(c_260573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_13),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_252240]) ).

tcf(c_260574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_13),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_252195]) ).

tcf(c_260575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_13),X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_252186]) ).

tcf(c_260576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_13),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243580]) ).

tcf(c_260577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_13),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243500]) ).

tcf(c_260578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(p(iPr_def_13),X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243446]) ).

tcf(c_260579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(m(iPr_def_12,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227780]) ).

tcf(c_260580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,p(iPr_def_10)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220179]) ).

tcf(c_260581,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_211286]) ).

tcf(c_260582,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_18)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210088]) ).

tcf(c_260583,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_18)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_207664]) ).

tcf(c_260584,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(iPr_def_18),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222503]) ).

tcf(c_260585,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244115]) ).

tcf(c_260586,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244114]) ).

tcf(c_260587,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243983]) ).

tcf(c_260588,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_20))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244088]) ).

tcf(c_260589,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245750]) ).

tcf(c_260590,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_15))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_246114]) ).

tcf(c_260591,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244146]) ).

tcf(c_260592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_13,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_250065]) ).

tcf(c_260593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_13,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249985]) ).

tcf(c_260594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_13,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240484]) ).

tcf(c_260595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_13,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240443]) ).

tcf(c_260596,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241981]) ).

tcf(c_260597,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225816]) ).

tcf(c_260598,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241980]) ).

tcf(c_260599,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225815]) ).

tcf(c_260600,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_18))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245744]) ).

tcf(c_260601,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241854]) ).

tcf(c_260602,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225857]) ).

tcf(c_260603,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_20))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241954]) ).

tcf(c_260604,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_21))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_226309]) ).

tcf(c_260605,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_21))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_226133]) ).

tcf(c_260606,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_21))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_226086]) ).

tcf(c_260607,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_21))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_226032]) ).

tcf(c_260608,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | subq(iPr_def_14,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_15))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_222507,c_226308]) ).

tcf(c_260609,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X1))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_15))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_222507,c_226135]) ).

tcf(c_260610,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X1))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_15))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_222507,c_226085]) ).

tcf(c_260611,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_12,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_15))),X0)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_222507,c_226034]) ).

tcf(c_260612,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242010]) ).

tcf(c_260613,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226307]) ).

tcf(c_260614,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226084]) ).

tcf(c_260615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249980]) ).

tcf(c_260616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249724]) ).

tcf(c_260617,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249705]) ).

tcf(c_260618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240351]) ).

tcf(c_260619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249437]) ).

tcf(c_260620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249428]) ).

tcf(c_260621,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240317]) ).

tcf(c_260622,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240134]) ).

tcf(c_260623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240059]) ).

tcf(c_260624,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_21,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239967]) ).

tcf(c_260625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_15,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249366]) ).

tcf(c_260626,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_15,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_248366]) ).

tcf(c_260627,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_15,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239693]) ).

tcf(c_260628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_15,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239650]) ).

tcf(c_260629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_18,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_248354]) ).

tcf(c_260630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_18,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_248345]) ).

tcf(c_260631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_18,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239617]) ).

tcf(c_260632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_18,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239567]) ).

tcf(c_260633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_10,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_247589]) ).

tcf(c_260634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_10,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233700]) ).

tcf(c_260635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,iPr_def_21)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220156]) ).

tcf(c_260636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,iPr_def_15)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220167]) ).

tcf(c_260637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220151]) ).

tcf(c_260638,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220150]) ).

tcf(c_260639,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(iPr_def_16),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194458]) ).

tcf(c_260640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(p(e)),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218076]) ).

tcf(c_260641,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = X0 )
      | ( m(iPr_def_12,X3) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(s(X0)),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222507]) ).

tcf(c_260642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( m(iPr_def_12,X3) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(s(X0)),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222498]) ).

tcf(c_260643,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_20))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221236]) ).

tcf(c_260644,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(p(p(e)),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216426]) ).

tcf(c_260645,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220042]) ).

tcf(c_260646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(X0,iPr_def_21)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219251]) ).

tcf(c_260647,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(X0,p(iPr_def_19))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219271]) ).

tcf(c_260648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,p(iPr_def_19)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219271]) ).

tcf(c_260649,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(X0,iPr_def_20)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219245]) ).

tcf(c_260650,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(iPr_def_18),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222503]) ).

tcf(c_260651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(p(p(e)),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_215144]) ).

tcf(c_260652,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219708]) ).

tcf(c_260653,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219658]) ).

tcf(c_260654,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219599]) ).

tcf(c_260655,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218486]) ).

tcf(c_260656,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(X0,iPr_def_21)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218755]) ).

tcf(c_260657,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(X0,iPr_def_18)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218754]) ).

tcf(c_260658,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(X0,iPr_def_17)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218748]) ).

tcf(c_260659,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,iPr_def_21)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218512]) ).

tcf(c_260660,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,iPr_def_18)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218511]) ).

tcf(c_260661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,iPr_def_19)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218510]) ).

tcf(c_260662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,iPr_def_16)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218509]) ).

tcf(c_260663,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(p(iPr_def_10),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221752]) ).

tcf(c_260664,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(p(e)),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218076]) ).

tcf(c_260665,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(p(p(e)),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216426]) ).

tcf(c_260666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(p(p(e)),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_215144]) ).

tcf(c_260667,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( m(iPr_def_12,X3) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(p(s(X0)),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221749]) ).

tcf(c_260668,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(X0,iPr_def_21)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218120]) ).

tcf(c_260669,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221064]) ).

tcf(c_260670,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221029]) ).

tcf(c_260671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220156]) ).

tcf(c_260672,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219251]) ).

tcf(c_260673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220436]) ).

tcf(c_260674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218755]) ).

tcf(c_260675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219911]) ).

tcf(c_260676,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218512]) ).

tcf(c_260677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(X1,iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219069]) ).

tcf(c_260678,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218120]) ).

tcf(c_260679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(X1,iPr_def_18))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_18))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220416]) ).

tcf(c_260680,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218754]) ).

tcf(c_260681,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(X1,iPr_def_18))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_18))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219579]) ).

tcf(c_260682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218511]) ).

tcf(c_260683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(X0,p(iPr_def_13))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218125]) ).

tcf(c_260684,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,p(iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220182]) ).

tcf(c_260685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,p(iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218546]) ).

tcf(c_260686,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,p(iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218125]) ).

tcf(c_260687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(X0,iPr_def_15)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218107]) ).

tcf(c_260688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(X1,iPr_def_15))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_15))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221423]) ).

tcf(c_260689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220167]) ).

tcf(c_260690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(X1,iPr_def_15))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_15))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219047]) ).

tcf(c_260691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218107]) ).

tcf(c_260692,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(X0,iPr_def_14)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218102]) ).

tcf(c_260693,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_20))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244944]) ).

tcf(c_260694,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244916]) ).

tcf(c_260695,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242252]) ).

tcf(c_260696,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245119]) ).

tcf(c_260697,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_247642]) ).

tcf(c_260698,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244688]) ).

tcf(c_260699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,p(X1))))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217006]) ).

tcf(c_260700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = e )
      | ( sK0(iPr_def_10,m(X1,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216997]) ).

tcf(c_260701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X4)) = e )
      | ( sK0(iPr_def_10,m(X1,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216997]) ).

tcf(c_260702,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216995]) ).

tcf(c_260703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,iPr_def_19)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216994]) ).

tcf(c_260704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,iPr_def_10)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216993]) ).

tcf(c_260705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(e),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_202957]) ).

tcf(c_260706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210347]) ).

tcf(c_260707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194479]) ).

tcf(c_260708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X3) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194424]) ).

tcf(c_260709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(p(e),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201133]) ).

tcf(c_260710,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_209306]) ).

tcf(c_260711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X3) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194162]) ).

tcf(c_260712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_228697]) ).

tcf(c_260713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_226779]) ).

tcf(c_260714,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_21)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217818]) ).

tcf(c_260715,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(p(e))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217217]) ).

tcf(c_260716,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(p(e),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_200301]) ).

tcf(c_260717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_207813]) ).

tcf(c_260718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X3) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193767]) ).

tcf(c_260719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_16,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230335]) ).

tcf(c_260720,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_16,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227778]) ).

tcf(c_260721,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(p(e))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216021]) ).

tcf(c_260722,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(p(e))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213574]) ).

tcf(c_260723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(p(e),X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_195987]) ).

tcf(c_260724,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_206064]) ).

tcf(c_260725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X3) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193585]) ).

tcf(c_260726,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_21)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210105]) ).

tcf(c_260727,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(p(e))))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_208022]) ).

tcf(c_260728,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_252240]) ).

tcf(c_260729,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_252195]) ).

tcf(c_260730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_252186]) ).

tcf(c_260731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243580]) ).

tcf(c_260732,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243500]) ).

tcf(c_260733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243446]) ).

tcf(c_260734,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_242522]) ).

tcf(c_260735,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241745]) ).

tcf(c_260736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241734]) ).

tcf(c_260737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231229]) ).

tcf(c_260738,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231228]) ).

tcf(c_260739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_13),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231227]) ).

tcf(c_260740,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_21,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193135]) ).

tcf(c_260741,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_18,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193130]) ).

tcf(c_260742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_15,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193129]) ).

tcf(c_260743,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_20,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193118]) ).

tcf(c_260744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_17,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193119]) ).

tcf(c_260745,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_16,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193120]) ).

tcf(c_260746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_14,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193121]) ).

tcf(c_260747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = e )
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217799]) ).

tcf(c_260748,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = e )
      | ( sK0(iPr_def_10,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216998]) ).

tcf(c_260749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = e )
      | ( sK0(iPr_def_10,m(X3,X0)) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216997]) ).

tcf(c_260750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = e )
      | ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216996]) ).

tcf(c_260751,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(iPr_def_20),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222506]) ).

tcf(c_260752,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(iPr_def_17),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222511]) ).

tcf(c_260753,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(iPr_def_16),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194458]) ).

tcf(c_260754,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(iPr_def_14),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222505]) ).

tcf(c_260755,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(p(iPr_def_10),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221752]) ).

tcf(c_260756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_10),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_251822]) ).

tcf(c_260757,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_10),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_242460]) ).

tcf(c_260758,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_10),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241712]) ).

tcf(c_260759,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_10),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231207]) ).

tcf(c_260760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_19),X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_252172]) ).

tcf(c_260761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_19),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243338]) ).

tcf(c_260762,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_19),X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241723]) ).

tcf(c_260763,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_19),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231226]) ).

tcf(c_260764,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(X1,iPr_def_13))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_13))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221090]) ).

tcf(c_260765,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220166]) ).

tcf(c_260766,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(X1,iPr_def_13))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_13))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_217166]) ).

tcf(c_260767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216995]) ).

tcf(c_260768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X3) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193094]) ).

tcf(c_260769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(p(e),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_203858]) ).

tcf(c_260770,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(e),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_202957]) ).

tcf(c_260771,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(p(e),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201133]) ).

tcf(c_260772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(p(e),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_200301]) ).

tcf(c_260773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(p(e),X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_195987]) ).

tcf(c_260774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = X0 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(s(X0)),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222507]) ).

tcf(c_260775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(s(X0)),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222498]) ).

tcf(c_260776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X3)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(p(s(X0)),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221749]) ).

tcf(c_260777,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245052]) ).

tcf(c_260778,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245053]) ).

tcf(c_260779,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_10)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_215080]) ).

tcf(c_260780,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(iPr_def_10)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_242275]) ).

tcf(c_260781,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(iPr_def_10)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_245756]) ).

tcf(c_260782,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_10)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233322]) ).

tcf(c_260783,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_14)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210079]) ).

tcf(c_260784,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(iPr_def_14)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213556]) ).

tcf(c_260785,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(iPr_def_14)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216004]) ).

tcf(c_260786,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_14)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205966]) ).

tcf(c_260787,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_16)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210078]) ).

tcf(c_260788,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(iPr_def_16)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213559]) ).

tcf(c_260789,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_16)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_192250]) ).

tcf(c_260790,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_17)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210077]) ).

tcf(c_260791,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(iPr_def_17)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213562]) ).

tcf(c_260792,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(iPr_def_17)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216010]) ).

tcf(c_260793,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_17)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205978]) ).

tcf(c_260794,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(iPr_def_20)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210076]) ).

tcf(c_260795,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(iPr_def_20)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213565]) ).

tcf(c_260796,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(iPr_def_20)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216560]) ).

tcf(c_260797,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(iPr_def_20)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_206313]) ).

tcf(c_260798,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,p(m(iPr_def_12,X2))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219701]) ).

tcf(c_260799,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219700]) ).

tcf(c_260800,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(m(X1,iPr_def_19)),p(iPr_def_21)) = m(X1,iPr_def_19) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_19))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219702]) ).

tcf(c_260801,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_19))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219696]) ).

tcf(c_260802,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218510]) ).

tcf(c_260803,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(X1,iPr_def_19))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_19))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_217125]) ).

tcf(c_260804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216994]) ).

tcf(c_260805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(X1,iPr_def_10))
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_10))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_217111]) ).

tcf(c_260806,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_10))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216993]) ).

tcf(c_260807,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_20,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_249420]) ).

tcf(c_260808,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_20,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239868]) ).

tcf(c_260809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_17,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_248336]) ).

tcf(c_260810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_17,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239330]) ).

tcf(c_260811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_16,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_247616]) ).

tcf(c_260812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_16,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239298]) ).

tcf(c_260813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_14,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_247607]) ).

tcf(c_260814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_14,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239235]) ).

tcf(c_260815,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_12,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_247598]) ).

tcf(c_260816,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_12,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239193]) ).

tcf(c_260817,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,iPr_def_19))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194350]) ).

tcf(c_260818,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_12,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193122]) ).

tcf(c_260819,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = X2 )
      | ( sK0(iPr_def_20,m(p(s(X2)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222507]) ).

tcf(c_260820,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(s(X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210052]) ).

tcf(c_260821,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(s(X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_207990]) ).

tcf(c_260822,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(s(X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191565]) ).

tcf(c_260823,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(s(X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213542]) ).

tcf(c_260824,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(s(X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_215990]) ).

tcf(c_260825,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(s(X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_249448]) ).

tcf(c_260826,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(iPr_def_10)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221194]) ).

tcf(c_260827,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_14 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(iPr_def_14)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221190]) ).

tcf(c_260828,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(iPr_def_16)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221186]) ).

tcf(c_260829,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_17 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(iPr_def_17)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221182]) ).

tcf(c_260830,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_20 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(iPr_def_20)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221178]) ).

tcf(c_260831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = X0 )
      | ( m(s(X0),X1) = s(X0) )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(s(X0),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205217]) ).

tcf(c_260832,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_12,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230337]) ).

tcf(c_260833,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_12,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227780]) ).

tcf(c_260834,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_15))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_185823]) ).

tcf(c_260835,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_18))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189657]) ).

tcf(c_260836,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_21))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222857]) ).

tcf(c_260837,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X1) = X0 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(s(X1),X0) = X1 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(s(X1))))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201224]) ).

tcf(c_260838,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_213448]) ).

tcf(c_260839,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_212808]) ).

tcf(c_260840,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_210294]) ).

tcf(c_260841,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_209932]) ).

tcf(c_260842,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_185141]) ).

tcf(c_260843,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_185128]) ).

tcf(c_260844,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_185083]) ).

tcf(c_260845,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_185031]) ).

tcf(c_260846,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_185015]) ).

tcf(c_260847,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_184999]) ).

tcf(c_260848,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_183354]) ).

tcf(c_260849,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X1)
      | atleast2p(sK0(p(iPr_def_21),X1))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_183492]) ).

tcf(c_260850,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_183355]) ).

tcf(c_260851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_182688]) ).

tcf(c_260852,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_182464]) ).

tcf(c_260853,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_182574]) ).

tcf(c_260854,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_182431]) ).

tcf(c_260855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_182393]) ).

tcf(c_260856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_182295]) ).

tcf(c_260857,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | subq(p(iPr_def_21),X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181997]) ).

tcf(c_260858,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_181984]) ).

tcf(c_260859,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X1)
      | ( sK0(p(iPr_def_21),X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_181447]) ).

tcf(c_260860,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(p(iPr_def_21),X0)
      | subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_181113]) ).

tcf(c_260861,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(X1,X1))
      | ( sK0(iPr_def_20,m(p(s(m(X1,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_253429]) ).

tcf(c_260862,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_249519]) ).

tcf(c_260863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,p(X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217006]) ).

tcf(c_260864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227789]) ).

tcf(c_260865,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_12,m(X3,m(iPr_def_21,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220180]) ).

tcf(c_260866,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(X3,m(iPr_def_21,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219269]) ).

tcf(c_260867,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_21,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218771]) ).

tcf(c_260868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_21,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218544]) ).

tcf(c_260869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,m(X3,m(iPr_def_21,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218123]) ).

tcf(c_260870,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_213449]) ).

tcf(c_260871,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_212806]) ).

tcf(c_260872,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222507,c_210170]) ).

tcf(c_260873,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_205628]) ).

tcf(c_260874,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_205522]) ).

tcf(c_260875,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_210171]) ).

tcf(c_260876,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_209933]) ).

tcf(c_260877,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_205492]) ).

tcf(c_260878,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205984]) ).

tcf(c_260879,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205870]) ).

tcf(c_260880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205867]) ).

tcf(c_260881,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205855]) ).

tcf(c_260882,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205843]) ).

tcf(c_260883,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205831]) ).

tcf(c_260884,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_21,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205459]) ).

tcf(c_260885,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205985]) ).

tcf(c_260886,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205442]) ).

tcf(c_260887,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205868]) ).

tcf(c_260888,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205856]) ).

tcf(c_260889,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205844]) ).

tcf(c_260890,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205832]) ).

tcf(c_260891,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205441]) ).

tcf(c_260892,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205440]) ).

tcf(c_260893,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205439]) ).

tcf(c_260894,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205438]) ).

tcf(c_260895,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205437]) ).

tcf(c_260896,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205436]) ).

tcf(c_260897,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205435]) ).

tcf(c_260898,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205219]) ).

tcf(c_260899,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_21,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193999]) ).

tcf(c_260900,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193135]) ).

tcf(c_260901,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_13) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_13))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_256425]) ).

tcf(c_260902,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_259070]) ).

tcf(c_260903,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255014]) ).

tcf(c_260904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255001]) ).

tcf(c_260905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_250065]) ).

tcf(c_260906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249985]) ).

tcf(c_260907,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240484]) ).

tcf(c_260908,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240443]) ).

tcf(c_260909,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_13,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_232781]) ).

tcf(c_260910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_13,X0))
      | subq(m(iPr_def_12,X2),iPr_def_10)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_232780]) ).

tcf(c_260911,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_240291]) ).

tcf(c_260912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_240282]) ).

tcf(c_260913,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231206]) ).

tcf(c_260914,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231205]) ).

tcf(c_260915,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_13,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_231769]) ).

tcf(c_260916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_233394]) ).

tcf(c_260917,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230878]) ).

tcf(c_260918,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230865]) ).

tcf(c_260919,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_19,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_246518]) ).

tcf(c_260920,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_19,X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_246504]) ).

tcf(c_260921,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_19,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233644]) ).

tcf(c_260922,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_19,X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233617]) ).

tcf(c_260923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255023]) ).

tcf(c_260924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_21) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222507,c_256405]) ).

tcf(c_260925,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258678]) ).

tcf(c_260926,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255022]) ).

tcf(c_260927,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255021]) ).

tcf(c_260928,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255019]) ).

tcf(c_260929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255010]) ).

tcf(c_260930,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255004]) ).

tcf(c_260931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254999]) ).

tcf(c_260932,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_18) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_18))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_257636]) ).

tcf(c_260933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(m(iPr_def_12,X2),iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_257635]) ).

tcf(c_260934,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_18) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_18))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_256389]) ).

tcf(c_260935,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | subq(m(iPr_def_12,X2),iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_256388]) ).

tcf(c_260936,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255003]) ).

tcf(c_260937,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254998]) ).

tcf(c_260938,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_15) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_15))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_257619]) ).

tcf(c_260939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | subq(m(iPr_def_12,X2),iPr_def_14)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_257618]) ).

tcf(c_260940,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_15) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_15))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_256356]) ).

tcf(c_260941,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | subq(m(iPr_def_12,X2),iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_256355]) ).

tcf(c_260942,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255002]) ).

tcf(c_260943,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254997]) ).

tcf(c_260944,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249980]) ).

tcf(c_260945,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249724]) ).

tcf(c_260946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249705]) ).

tcf(c_260947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240351]) ).

tcf(c_260948,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240320]) ).

tcf(c_260949,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249437]) ).

tcf(c_260950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249428]) ).

tcf(c_260951,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240317]) ).

tcf(c_260952,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240137]) ).

tcf(c_260953,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240134]) ).

tcf(c_260954,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240062]) ).

tcf(c_260955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_240059]) ).

tcf(c_260956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239967]) ).

tcf(c_260957,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_233436]) ).

tcf(c_260958,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_14)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_233435]) ).

tcf(c_260959,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_233031]) ).

tcf(c_260960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_233030]) ).

tcf(c_260961,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_232849]) ).

tcf(c_260962,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_232809]) ).

tcf(c_260963,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_232808]) ).

tcf(c_260964,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_232327]) ).

tcf(c_260965,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_232326]) ).

tcf(c_260966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_20 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222507,c_232284]) ).

tcf(c_260967,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222507,c_232283]) ).

tcf(c_260968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_240215]) ).

tcf(c_260969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_240188]) ).

tcf(c_260970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231198]) ).

tcf(c_260971,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231197]) ).

tcf(c_260972,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239758]) ).

tcf(c_260973,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239750]) ).

tcf(c_260974,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239741]) ).

tcf(c_260975,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231196]) ).

tcf(c_260976,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231195]) ).

tcf(c_260977,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231194]) ).

tcf(c_260978,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230887]) ).

tcf(c_260979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_21,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222507,c_231749]) ).

tcf(c_260980,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,X0))
      | subq(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_232859]) ).

tcf(c_260981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230886]) ).

tcf(c_260982,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230885]) ).

tcf(c_260983,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230883]) ).

tcf(c_260984,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230874]) ).

tcf(c_260985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230868]) ).

tcf(c_260986,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230863]) ).

tcf(c_260987,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_243162]) ).

tcf(c_260988,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_243117]) ).

tcf(c_260989,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222507,c_243083]) ).

tcf(c_260990,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_243034]) ).

tcf(c_260991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_242995]) ).

tcf(c_260992,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230344]) ).

tcf(c_260993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,m(X3,m(iPr_def_15,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244145]) ).

tcf(c_260994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_15,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244112]) ).

tcf(c_260995,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(X3,m(iPr_def_15,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244087]) ).

tcf(c_260996,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_15,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243982]) ).

tcf(c_260997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_12,m(X3,m(iPr_def_15,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243952]) ).

tcf(c_260998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242750]) ).

tcf(c_260999,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_244142]) ).

tcf(c_261000,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_15,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244113]) ).

tcf(c_261001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_244109]) ).

tcf(c_261002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_244084]) ).

tcf(c_261003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_243979]) ).

tcf(c_261004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_243949]) ).

tcf(c_261005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243255]) ).

tcf(c_261006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_15,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242806]) ).

tcf(c_261007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244143]) ).

tcf(c_261008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244110]) ).

tcf(c_261009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244085]) ).

tcf(c_261010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243980]) ).

tcf(c_261011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243950]) ).

tcf(c_261012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244111]) ).

tcf(c_261013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244086]) ).

tcf(c_261014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243981]) ).

tcf(c_261015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242781]) ).

tcf(c_261016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242780]) ).

tcf(c_261017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242779]) ).

tcf(c_261018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242778]) ).

tcf(c_261019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242777]) ).

tcf(c_261020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242776]) ).

tcf(c_261021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242775]) ).

tcf(c_261022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242774]) ).

tcf(c_261023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242773]) ).

tcf(c_261024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242772]) ).

tcf(c_261025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242771]) ).

tcf(c_261026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242770]) ).

tcf(c_261027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242751]) ).

tcf(c_261028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_242570]) ).

tcf(c_261029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227787]) ).

tcf(c_261030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_15,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193417]) ).

tcf(c_261031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193129]) ).

tcf(c_261032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_241770]) ).

tcf(c_261033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_241387]) ).

tcf(c_261034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_241335]) ).

tcf(c_261035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_241224]) ).

tcf(c_261036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_241185]) ).

tcf(c_261037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,m(X3,m(iPr_def_18,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242009]) ).

tcf(c_261038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_18,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241978]) ).

tcf(c_261039,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(X3,m(iPr_def_18,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241953]) ).

tcf(c_261040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_18,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241853]) ).

tcf(c_261041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_12,m(X3,m(iPr_def_18,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241821]) ).

tcf(c_261042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240507]) ).

tcf(c_261043,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_242006]) ).

tcf(c_261044,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_18,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241979]) ).

tcf(c_261045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241975]) ).

tcf(c_261046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241950]) ).

tcf(c_261047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241850]) ).

tcf(c_261048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_241818]) ).

tcf(c_261049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241282]) ).

tcf(c_261050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240757]) ).

tcf(c_261051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242007]) ).

tcf(c_261052,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241976]) ).

tcf(c_261053,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241951]) ).

tcf(c_261054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241851]) ).

tcf(c_261055,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241819]) ).

tcf(c_261056,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242008]) ).

tcf(c_261057,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241952]) ).

tcf(c_261058,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241820]) ).

tcf(c_261059,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240732]) ).

tcf(c_261060,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240731]) ).

tcf(c_261061,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240730]) ).

tcf(c_261062,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240729]) ).

tcf(c_261063,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240728]) ).

tcf(c_261064,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240727]) ).

tcf(c_261065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240726]) ).

tcf(c_261066,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240725]) ).

tcf(c_261067,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240724]) ).

tcf(c_261068,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240723]) ).

tcf(c_261069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240722]) ).

tcf(c_261070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240721]) ).

tcf(c_261071,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240508]) ).

tcf(c_261072,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231665]) ).

tcf(c_261073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_226303]) ).

tcf(c_261074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X3,m(iPr_def_18,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226131]) ).

tcf(c_261075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X3,m(iPr_def_18,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226083]) ).

tcf(c_261076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_226128]) ).

tcf(c_261077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_226080]) ).

tcf(c_261078,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X3,m(iPr_def_18,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226030]) ).

tcf(c_261079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_225982]) ).

tcf(c_261080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_12,X2),iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225981]) ).

tcf(c_261081,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_18,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_225946]) ).

tcf(c_261082,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_18,X0))
      | subq(m(iPr_def_12,X2),iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225945]) ).

tcf(c_261083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_226027]) ).

tcf(c_261084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_18,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225856]) ).

tcf(c_261085,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_18,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225813]) ).

tcf(c_261086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226304]) ).

tcf(c_261087,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227788]) ).

tcf(c_261088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_225853]) ).

tcf(c_261089,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_225810]) ).

tcf(c_261090,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226129]) ).

tcf(c_261091,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226081]) ).

tcf(c_261092,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224829]) ).

tcf(c_261093,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226028]) ).

tcf(c_261094,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225854]) ).

tcf(c_261095,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_225811]) ).

tcf(c_261096,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224810]) ).

tcf(c_261097,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224806]) ).

tcf(c_261098,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224768]) ).

tcf(c_261099,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224744]) ).

tcf(c_261100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224741]) ).

tcf(c_261101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224738]) ).

tcf(c_261102,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_224735]) ).

tcf(c_261103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_18,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193423]) ).

tcf(c_261104,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193130]) ).

tcf(c_261105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_248354]) ).

tcf(c_261106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_248345]) ).

tcf(c_261107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239617]) ).

tcf(c_261108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239567]) ).

tcf(c_261109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_18,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_232263]) ).

tcf(c_261110,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(m(iPr_def_12,X2),iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_232262]) ).

tcf(c_261111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_243737]) ).

tcf(c_261112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231174]) ).

tcf(c_261113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239389]) ).

tcf(c_261114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239380]) ).

tcf(c_261115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231176]) ).

tcf(c_261116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231175]) ).

tcf(c_261117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_18,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_231734]) ).

tcf(c_261118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_18,X0))
      | subq(m(iPr_def_12,X2),iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_231733]) ).

tcf(c_261119,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230867]) ).

tcf(c_261120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230862]) ).

tcf(c_261121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_251146]) ).

tcf(c_261122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_251130]) ).

tcf(c_261123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_250638]) ).

tcf(c_261124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_231182]) ).

tcf(c_261125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_231181]) ).

tcf(c_261126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_231180]) ).

tcf(c_261127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249366]) ).

tcf(c_261128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_248366]) ).

tcf(c_261129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239693]) ).

tcf(c_261130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239650]) ).

tcf(c_261131,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_15,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_232237]) ).

tcf(c_261132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(m(iPr_def_12,X2),iPr_def_14)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_232236]) ).

tcf(c_261133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239411]) ).

tcf(c_261134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239401]) ).

tcf(c_261135,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231183]) ).

tcf(c_261136,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231179]) ).

tcf(c_261137,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(iPr_def_15,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_231700]) ).

tcf(c_261138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_15,X0))
      | subq(m(iPr_def_12,X2),iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_231699]) ).

tcf(c_261139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230866]) ).

tcf(c_261140,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230861]) ).

tcf(c_261141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222507,c_255064]) ).

tcf(c_261142,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_222507,c_230928]) ).

tcf(c_261143,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_18))),X2)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_255067]) ).

tcf(c_261144,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_18))),X2)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_230931]) ).

tcf(c_261145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_15))),X2)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_255070]) ).

tcf(c_261146,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_15))),X2)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_230934]) ).

tcf(c_261147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205285]) ).

tcf(c_261148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_205265]) ).

tcf(c_261149,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(m(e,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205214]) ).

tcf(c_261150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,p(m(iPr_def_12,X2))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_228697]) ).

tcf(c_261151,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_10,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_222507,c_223363]) ).

tcf(c_261152,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_226779]) ).

tcf(c_261153,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_19,iPr_def_19) ),
    inference(superposition,[status(thm)],[c_222507,c_200646]) ).

tcf(c_261154,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_19,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_222871]) ).

tcf(c_261155,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222678]) ).

tcf(c_261156,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_19,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_194799]) ).

tcf(c_261157,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194479]) ).

tcf(c_261158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243632]) ).

tcf(c_261159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243631]) ).

tcf(c_261160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_242571]) ).

tcf(c_261161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_10,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_211755]) ).

tcf(c_261162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_210400]) ).

tcf(c_261163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X0)
      | subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_16,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_209360]) ).

tcf(c_261164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_207833]) ).

tcf(c_261165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 )
      | ~ mem(iPr_def_13,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_206793]) ).

tcf(c_261166,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_211289]) ).

tcf(c_261167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_211286]) ).

tcf(c_261168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_210349]) ).

tcf(c_261169,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210347]) ).

tcf(c_261170,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_209309]) ).

tcf(c_261171,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_209306]) ).

tcf(c_261172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_207816]) ).

tcf(c_261173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_207813]) ).

tcf(c_261174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_10,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206066]) ).

tcf(c_261175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_206064]) ).

tcf(c_261176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_246518]) ).

tcf(c_261177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_246504]) ).

tcf(c_261178,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233644]) ).

tcf(c_261179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233617]) ).

tcf(c_261180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233455]) ).

tcf(c_261181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233447]) ).

tcf(c_261182,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231145]) ).

tcf(c_261183,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231144]) ).

tcf(c_261184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255397]) ).

tcf(c_261185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255396]) ).

tcf(c_261186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_247589]) ).

tcf(c_261187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_233700]) ).

tcf(c_261188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233461]) ).

tcf(c_261189,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231146]) ).

tcf(c_261190,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_10))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255398]) ).

tcf(c_261191,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_19))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191730]) ).

tcf(c_261192,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(m(X1,iPr_def_20)),p(iPr_def_21)) = m(X1,iPr_def_20) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_20))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221232]) ).

tcf(c_261193,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_20))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221228]) ).

tcf(c_261194,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_20))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219245]) ).

tcf(c_261195,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_251178]) ).

tcf(c_261196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_251165]) ).

tcf(c_261197,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231185]) ).

tcf(c_261198,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231184]) ).

tcf(c_261199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_249420]) ).

tcf(c_261200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239868]) ).

tcf(c_261201,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_239733]) ).

tcf(c_261202,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231186]) ).

tcf(c_261203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230333]) ).

tcf(c_261204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227776]) ).

tcf(c_261205,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_20,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193183]) ).

tcf(c_261206,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193118]) ).

tcf(c_261207,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(m(X1,iPr_def_17)),p(iPr_def_21)) = m(X1,iPr_def_17) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_17))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220038]) ).

tcf(c_261208,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_17))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220034]) ).

tcf(c_261209,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_17))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218748]) ).

tcf(c_261210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_250608]) ).

tcf(c_261211,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_231167]) ).

tcf(c_261212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_248336]) ).

tcf(c_261213,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239330]) ).

tcf(c_261214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233913]) ).

tcf(c_261215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231168]) ).

tcf(c_261216,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230334]) ).

tcf(c_261217,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227777]) ).

tcf(c_261218,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_17,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193188]) ).

tcf(c_261219,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193119]) ).

tcf(c_261220,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_17,p(m(iPr_def_12,X2))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_16))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219651]) ).

tcf(c_261221,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_16))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_219650]) ).

tcf(c_261222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(m(X1,iPr_def_16)),p(iPr_def_21)) = m(X1,iPr_def_16) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_16))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219652]) ).

tcf(c_261223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_16))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219646]) ).

tcf(c_261224,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_16))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218509]) ).

tcf(c_261225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_250521]) ).

tcf(c_261226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_231161]) ).

tcf(c_261227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_247616]) ).

tcf(c_261228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239298]) ).

tcf(c_261229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233752]) ).

tcf(c_261230,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231162]) ).

tcf(c_261231,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_244621]) ).

tcf(c_261232,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_244520]) ).

tcf(c_261233,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_14 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_244481]) ).

tcf(c_261234,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X1))
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_244205]) ).

tcf(c_261235,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_251985]) ).

tcf(c_261236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_251587]) ).

tcf(c_261237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,m(X3,m(iPr_def_16,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245118]) ).

tcf(c_261238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_251414]) ).

tcf(c_261239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_16,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245050]) ).

tcf(c_261240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(X3,m(iPr_def_16,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244943]) ).

tcf(c_261241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_16,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244915]) ).

tcf(c_261242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_12,m(X3,m(iPr_def_16,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244687]) ).

tcf(c_261243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_250122]) ).

tcf(c_261244,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_250080]) ).

tcf(c_261245,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243823]) ).

tcf(c_261246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_18,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240528]) ).

tcf(c_261247,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241061]) ).

tcf(c_261248,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_245115]) ).

tcf(c_261249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_16,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245051]) ).

tcf(c_261250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_245047]) ).

tcf(c_261251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_244940]) ).

tcf(c_261252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_244912]) ).

tcf(c_261253,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_244684]) ).

tcf(c_261254,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241065]) ).

tcf(c_261255,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241064]) ).

tcf(c_261256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_247639]) ).

tcf(c_261257,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_247640]) ).

tcf(c_261258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241066]) ).

tcf(c_261259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244322]) ).

tcf(c_261260,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_16,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243879]) ).

tcf(c_261261,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245116]) ).

tcf(c_261262,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245048]) ).

tcf(c_261263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244941]) ).

tcf(c_261264,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244913]) ).

tcf(c_261265,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244685]) ).

tcf(c_261266,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_245117]) ).

tcf(c_261267,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243854]) ).

tcf(c_261268,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243853]) ).

tcf(c_261269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244942]) ).

tcf(c_261270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244914]) ).

tcf(c_261271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_244686]) ).

tcf(c_261272,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243852]) ).

tcf(c_261273,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243851]) ).

tcf(c_261274,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243850]) ).

tcf(c_261275,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243849]) ).

tcf(c_261276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243848]) ).

tcf(c_261277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243847]) ).

tcf(c_261278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243846]) ).

tcf(c_261279,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243845]) ).

tcf(c_261280,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243844]) ).

tcf(c_261281,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243843]) ).

tcf(c_261282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_243824]) ).

tcf(c_261283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_243792]) ).

tcf(c_261284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242249]) ).

tcf(c_261285,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_242250]) ).

tcf(c_261286,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241067]) ).

tcf(c_261287,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241063]) ).

tcf(c_261288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_241062]) ).

tcf(c_261289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240532]) ).

tcf(c_261290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231927]) ).

tcf(c_261291,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230335]) ).

tcf(c_261292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227778]) ).

tcf(c_261293,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_16,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193198]) ).

tcf(c_261294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193120]) ).

tcf(c_261295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_12 )
      | ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218514]) ).

tcf(c_261296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218513]) ).

tcf(c_261297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(m(X1,iPr_def_14)),p(iPr_def_21)) = m(X1,iPr_def_14) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_14))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218482]) ).

tcf(c_261298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_14))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218478]) ).

tcf(c_261299,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_14))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218102]) ).

tcf(c_261300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_14,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_247607]) ).

tcf(c_261301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239235]) ).

tcf(c_261302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_14,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233746]) ).

tcf(c_261303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231159]) ).

tcf(c_261304,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230336]) ).

tcf(c_261305,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227779]) ).

tcf(c_261306,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_14,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_14,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193406]) ).

tcf(c_261307,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193121]) ).

tcf(c_261308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(m(X1,iPr_def_12)),p(iPr_def_21)) = m(X1,iPr_def_12) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_12))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221627]) ).

tcf(c_261309,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_12))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221626]) ).

tcf(c_261310,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_16,p(m(iPr_def_12,X2))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_12))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221625]) ).

tcf(c_261311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X1,iPr_def_12))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_221620]) ).

tcf(c_261312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,iPr_def_12))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220168]) ).

tcf(c_261313,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_12,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_247598]) ).

tcf(c_261314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_239193]) ).

tcf(c_261315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_12,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_233740]) ).

tcf(c_261316,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231154]) ).

tcf(c_261317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_12))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255406]) ).

tcf(c_261318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230337]) ).

tcf(c_261319,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_252152]) ).

tcf(c_261320,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_15,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240574]) ).

tcf(c_261321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_240573]) ).

tcf(c_261322,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231985]) ).

tcf(c_261323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_12,m(X3,m(iPr_def_12,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_220181]) ).

tcf(c_261324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(X3,m(iPr_def_12,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_219270]) ).

tcf(c_261325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_12,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218772]) ).

tcf(c_261326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_12,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218545]) ).

tcf(c_261327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,m(X3,m(iPr_def_12,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_218124]) ).

tcf(c_261328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_227780]) ).

tcf(c_261329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X2))),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_207719]) ).

tcf(c_261330,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_12,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206663]) ).

tcf(c_261331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X2))),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_206660]) ).

tcf(c_261332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X2))),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_206641]) ).

tcf(c_261333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X2))),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_206622]) ).

tcf(c_261334,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X2))),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_206606]) ).

tcf(c_261335,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_213450]) ).

tcf(c_261336,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_212809]) ).

tcf(c_261337,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_210260]) ).

tcf(c_261338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_209934]) ).

tcf(c_261339,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_207720]) ).

tcf(c_261340,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206661]) ).

tcf(c_261341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206642]) ).

tcf(c_261342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206623]) ).

tcf(c_261343,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206607]) ).

tcf(c_261344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_207721]) ).

tcf(c_261345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206662]) ).

tcf(c_261346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206643]) ).

tcf(c_261347,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206624]) ).

tcf(c_261348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_207732]) ).

tcf(c_261349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206355]) ).

tcf(c_261350,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206354]) ).

tcf(c_261351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206353]) ).

tcf(c_261352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206352]) ).

tcf(c_261353,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206351]) ).

tcf(c_261354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206350]) ).

tcf(c_261355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206349]) ).

tcf(c_261356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206348]) ).

tcf(c_261357,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_206160]) ).

tcf(c_261358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_205307]) ).

tcf(c_261359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_205287]) ).

tcf(c_261360,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205216]) ).

tcf(c_261361,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ mem(e,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_193412]) ).

tcf(c_261362,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193122]) ).

tcf(c_261363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast3p(u(X1,X0))
      | subq(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(u(X1,X0))),X2)) = iPr_def_19 )
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_255390]) ).

tcf(c_261364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X1,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254989]) ).

tcf(c_261365,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,iPr_def_19))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_190122]) ).

tcf(c_261366,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_14))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187230]) ).

tcf(c_261367,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_14 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_14))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_186462]) ).

tcf(c_261368,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,iPr_def_16))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187140]) ).

tcf(c_261369,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,iPr_def_14))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187557]) ).

tcf(c_261370,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,iPr_def_16))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187560]) ).

tcf(c_261371,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_17))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187234]) ).

tcf(c_261372,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_16 = iPr_def_17 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_17))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_186457]) ).

tcf(c_261373,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,iPr_def_17))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187142]) ).

tcf(c_261374,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_14))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187691]) ).

tcf(c_261375,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_16))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_192765]) ).

tcf(c_261376,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_17))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194107]) ).

tcf(c_261377,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,iPr_def_20))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_185846]) ).

tcf(c_261378,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_20))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191043]) ).

tcf(c_261379,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,iPr_def_20))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187144]) ).

tcf(c_261380,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,iPr_def_14))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189964]) ).

tcf(c_261381,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,iPr_def_16))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189967]) ).

tcf(c_261382,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,iPr_def_17))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189970]) ).

tcf(c_261383,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,iPr_def_20))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189973]) ).

tcf(c_261384,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187686]) ).

tcf(c_261385,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_20 )
      | ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_200617]) ).

tcf(c_261386,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187552]) ).

tcf(c_261387,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_12 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187225]) ).

tcf(c_261388,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_12 = iPr_def_16 )
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_186451]) ).

tcf(c_261389,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_13 )
      | ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187133]) ).

tcf(c_261390,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_203798]) ).

tcf(c_261391,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_202940]) ).

tcf(c_261392,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201116]) ).

tcf(c_261393,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_200255]) ).

tcf(c_261394,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(e)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_195968]) ).

tcf(c_261395,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_14))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_188016]) ).

tcf(c_261396,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_16))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_188026]) ).

tcf(c_261397,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_17))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189342]) ).

tcf(c_261398,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_20))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189642]) ).

tcf(c_261399,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,iPr_def_10))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194973]) ).

tcf(c_261400,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,iPr_def_10))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187900]) ).

tcf(c_261401,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,iPr_def_10))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_185544]) ).

tcf(c_261402,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,iPr_def_10))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_190799]) ).

tcf(c_261403,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,iPr_def_10))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_190644]) ).

tcf(c_261404,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_20))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198916]) ).

tcf(c_261405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_20))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184328]) ).

tcf(c_261406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_17))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198913]) ).

tcf(c_261407,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_17))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184332]) ).

tcf(c_261408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_16))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198910]) ).

tcf(c_261409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_16))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_202596]) ).

tcf(c_261410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_14))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198907]) ).

tcf(c_261411,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_14))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184340]) ).

tcf(c_261412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189951]) ).

tcf(c_261413,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187678]) ).

tcf(c_261414,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X2) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187544]) ).

tcf(c_261415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187217]) ).

tcf(c_261416,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_186435]) ).

tcf(c_261417,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187125]) ).

tcf(c_261418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(e)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201158]) ).

tcf(c_261419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X2) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_185753]) ).

tcf(c_261421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X1 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),s(X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198893]) ).

tcf(c_261422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = s(X1) )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(s(X1),s(X0)) = X1 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),s(X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184024]) ).

tcf(c_261423,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,iPr_def_12))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_185738]) ).

tcf(c_261424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_20,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183272]) ).

tcf(c_261425,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_17,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_184132]) ).

tcf(c_261426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_17,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183103]) ).

tcf(c_261427,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_14,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183082]) ).

tcf(c_261428,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_14,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183910]) ).

tcf(c_261429,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = X0 )
      | ( sK0(iPr_def_20,m(m(iPr_def_12,X2),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222507]) ).

tcf(c_261430,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(m(iPr_def_12,X2),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222498]) ).

tcf(c_261431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,m(m(iPr_def_12,X2),X3)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221749]) ).

tcf(c_261432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,p(s(X1)))
      | ( sK0(iPr_def_20,m(p(s(p(s(X1)))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_249475]) ).

tcf(c_261433,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_249448]) ).

tcf(c_261434,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_215990]) ).

tcf(c_261435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213542]) ).

tcf(c_261436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210052]) ).

tcf(c_261437,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_207990]) ).

tcf(c_261438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191565]) ).

tcf(c_261439,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_10,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183900]) ).

tcf(c_261440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_15,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_181299]) ).

tcf(c_261441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = X2 )
      | ( sK0(s(X0),X2) = X0 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(p(s(X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201224]) ).

tcf(c_261442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_18,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_182838]) ).

tcf(c_261443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_16,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183681]) ).

tcf(c_261444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_16,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_182675]) ).

tcf(c_261445,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_10))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198900]) ).

tcf(c_261446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_10))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_204644]) ).

tcf(c_261447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221174]) ).

tcf(c_261448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_12,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183073]) ).

tcf(c_261449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_12,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_182629]) ).

tcf(c_261450,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(iPr_def_12,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183665]) ).

tcf(c_261451,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_12))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198902]) ).

tcf(c_261452,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),iPr_def_12))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_200599]) ).

tcf(c_261453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),e))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198892]) ).

tcf(c_261454,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,e))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_182807]) ).

tcf(c_261455,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_192602]) ).

tcf(c_261456,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_20,X0)
      | subq(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_188300]) ).

tcf(c_261457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181800]) ).

tcf(c_261458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( u(X2,X1) = X1 )
      | ( sK0(iPr_def_20,m(p(s(u(X2,X1))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_255391]) ).

tcf(c_261459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( u(X1,X2) = X1 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_231139]) ).

tcf(c_261460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast3p(u(X0,X1))
      | subq(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(u(X0,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_231138]) ).

tcf(c_261461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230853]) ).

tcf(c_261462,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(X0,X2)
      | mem(m(iPr_def_12,X4),X1)
      | ( sK0(iPr_def_20,m(p(s(sK0(X0,X2))),X3)) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181283]) ).

tcf(c_261463,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X1,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(sK0(X1,iPr_def_19))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_181254]) ).

tcf(c_261464,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181220]) ).

tcf(c_261465,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181244]) ).

tcf(c_261466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,m(p(s(u(u(s(X2),X3),X4))),X5)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_251778]) ).

tcf(c_261467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(u(u(s(X0),X1),X2))),X3)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_241531]) ).

tcf(c_261468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(s(X0),X1) = s(X0) )
      | ( sK0(s(X0),m(iPr_def_12,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205217]) ).

tcf(c_261469,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194628]) ).

tcf(c_261470,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194424]) ).

tcf(c_261471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X3)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194162]) ).

tcf(c_261472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193767]) ).

tcf(c_261473,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X3)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193585]) ).

tcf(c_261474,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,m(iPr_def_12,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193094]) ).

tcf(c_261475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(m(iPr_def_12,X4),X0)
      | subq(m(X0,X1),X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(m(X0,X1),X2))),X3)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181173]) ).

tcf(c_261476,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220151]) ).

tcf(c_261477,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,p(X1)) = iPr_def_12 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_220150]) ).

tcf(c_261478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,p(X1)) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218514]) ).

tcf(c_261479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_218513]) ).

tcf(c_261480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,p(X1)) = iPr_def_19 )
      | ( sK0(iPr_def_10,m(iPr_def_12,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217799]) ).

tcf(c_261481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_10,X1) = e )
      | ( sK0(iPr_def_10,m(iPr_def_12,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216998]) ).

tcf(c_261482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( sK0(iPr_def_10,m(iPr_def_12,X4)) = e )
      | ( sK0(iPr_def_10,m(X3,X0)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216997]) ).

tcf(c_261483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,p(X1)) = iPr_def_13 )
      | ( sK0(iPr_def_10,m(iPr_def_12,X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_216996]) ).

tcf(c_261484,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(m(iPr_def_12,X3),u(X0,X4))
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230860]) ).

tcf(c_261485,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X3,X1))),X4)) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_12,X2))
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_205283]) ).

tcf(c_261486,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(X0,X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X2))),X3)) = iPr_def_19 )
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_205213]) ).

tcf(c_261487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast3p(X0)
      | subq(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_205212]) ).

tcf(c_261488,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202832]) ).

tcf(c_261489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202519]) ).

tcf(c_261490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202432]) ).

tcf(c_261491,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202295]) ).

tcf(c_261492,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(X1,X2)),p(iPr_def_21)) = m(X1,X2) )
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202181]) ).

tcf(c_261493,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(m(iPr_def_12,X4),X1)
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205284]) ).

tcf(c_261494,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205070]) ).

tcf(c_261495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(m(X0,X1),X4)
      | mem(sK0(m(iPr_def_12,X3),X4),X0)
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181173]) ).

tcf(c_261496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( mem(X3,X2)
      | ( sK0(iPr_def_20,m(p(s(u(s(X3),X4))),X5)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_251778]) ).

tcf(c_261497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,u(m(iPr_def_12,X3),X4))
      | ( sK0(iPr_def_20,m(p(s(u(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_241531]) ).

tcf(c_261498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,m(p(s(u(s(X2),X3))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_240675]) ).

tcf(c_261499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231142]) ).

tcf(c_261500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(X2,u(X3,X1))
      | ( sK0(iPr_def_20,m(p(s(sK0(X2,u(X3,X1)))),X4)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181154]) ).

tcf(c_261501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(X2,u(X1,X3))
      | ( sK0(iPr_def_20,m(p(s(sK0(X2,u(X1,X3)))),X4)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181131]) ).

tcf(c_261502,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,e))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_183052]) ).

tcf(c_261503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_192290]) ).

tcf(c_261504,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_17)
      | subq(iPr_def_17,X0)
      | subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187918]) ).

tcf(c_261505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_183104]) ).

tcf(c_261506,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,X0)
      | mem(m(iPr_def_12,X2),iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181668]) ).

tcf(c_261507,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,e))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_183261]) ).

tcf(c_261508,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_192021]) ).

tcf(c_261509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_16,X0)
      | subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187457]) ).

tcf(c_261510,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_182676]) ).

tcf(c_261511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X0)
      | mem(m(iPr_def_12,X2),iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181204]) ).

tcf(c_261512,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,e))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_183514]) ).

tcf(c_261513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191494]) ).

tcf(c_261514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191493]) ).

tcf(c_261515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_14,X0)
      | subq(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_186953]) ).

tcf(c_261516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_183083]) ).

tcf(c_261517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,X0)
      | mem(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181643]) ).

tcf(c_261518,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,e))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_183588]) ).

tcf(c_261519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_12,X0)
      | subq(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_190419]) ).

tcf(c_261520,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X0)
      | mem(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_182630]) ).

tcf(c_261521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X0)
      | mem(m(iPr_def_12,X2),iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181635]) ).

tcf(c_261522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X0)
      | mem(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181196]) ).

tcf(c_261523,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = e )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,e))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_182563]) ).

tcf(c_261524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X0)
      | mem(m(iPr_def_12,X2),iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_182887]) ).

tcf(c_261525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | subq(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_245927]) ).

tcf(c_261526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_12,m(iPr_def_12,X2))
      | ( iPr_def_12 = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_188252]) ).

tcf(c_261527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_16,m(iPr_def_12,X2))
      | ( iPr_def_13 = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_188204]) ).

tcf(c_261528,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_19,m(iPr_def_12,X2))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_188142]) ).

tcf(c_261529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_188093]) ).

tcf(c_261530,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_19,X0)
      | mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_188056]) ).

tcf(c_261531,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | subq(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X2))),X3)) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_183830]) ).

tcf(c_261532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X1)
      | ( sK0(iPr_def_19,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_183838]) ).

tcf(c_261533,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_183565]) ).

tcf(c_261534,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(sK0(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_182603]) ).

tcf(c_261535,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X0)
      | subq(m(iPr_def_12,X2),iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181054]) ).

tcf(c_261536,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X2,p(X1))
      | ( sK0(iPr_def_20,m(p(s(sK0(X2,p(X1)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181012]) ).

tcf(c_261537,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(p(X0),X2)
      | ( sK0(p(X0),X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(X0),X2))),X3)) = iPr_def_19 )
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_181359]) ).

tcf(c_261538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(p(X0),X1)
      | subq(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(p(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181000]) ).

tcf(c_261539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(m(X0,X3),m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(u(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_230860]) ).

tcf(c_261540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(s(X2))
      | mem(X2,X1)
      | ( sK0(iPr_def_20,m(p(s(p(X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_210957]) ).

tcf(c_261541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(s(X0))
      | mem(X0,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210422]) ).

tcf(c_261542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,m(p(s(p(X3))),X4)) = iPr_def_19 )
      | ~ subq(X2,X3)
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181287]) ).

tcf(c_261543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_13,X1)
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ( sK0(iPr_def_20,m(p(s(p(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202833]) ).

tcf(c_261544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ( sK0(iPr_def_20,m(p(s(p(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202520]) ).

tcf(c_261545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_19,X1)
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ( sK0(iPr_def_20,m(p(s(p(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202433]) ).

tcf(c_261546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,X1)
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ( sK0(iPr_def_20,m(p(s(p(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202296]) ).

tcf(c_261547,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_10,X1)
      | ( sK0(s(p(X1)),p(iPr_def_21)) = p(X1) )
      | ( sK0(iPr_def_20,m(p(s(p(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202182]) ).

tcf(c_261548,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(p(X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_185359]) ).

tcf(c_261549,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_12)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_183563]) ).

tcf(c_261550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_186707]) ).

tcf(c_261551,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222507,c_182106]) ).

tcf(c_261552,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_17)
      | mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_182097]) ).

tcf(c_261553,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_16)
      | mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_181859]) ).

tcf(c_261554,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_181830]) ).

tcf(c_261555,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_10)
      | mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 )
      | ~ mem(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_181808]) ).

tcf(c_261556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(p(X0),X2)
      | ( sK0(p(X0),X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X3)) = iPr_def_19 )
      | ~ subq(X0,sK0(m(iPr_def_12,X1),X2)) ),
    inference(superposition,[status(thm)],[c_222507,c_181359]) ).

tcf(c_261557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(X1)
      | subq(X1,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X2)) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_64]) ).

tcf(c_261558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(p(X0),X3)
      | subq(sK0(m(iPr_def_12,X2),X3),X0)
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181000]) ).

tcf(c_261559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_10,m(X2,m(iPr_def_12,X3))) = e )
      | ( sK0(iPr_def_20,m(p(s(p(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_217006]) ).

tcf(c_261560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,p(X2))
      | ( sK0(iPr_def_20,m(p(s(p(X2))),X3)) = iPr_def_19 )
      | ~ subq(sK0(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_181012]) ).

tcf(c_261561,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X2)
      | ( sK0(iPr_def_20,m(p(s(p(X2))),X3)) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_63]) ).

tcf(c_261562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(p(X1))),X2)) = iPr_def_19 )
      | ~ subq(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_62]) ).

tcf(c_261563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,X2)
      | mem(X0,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(X1,X2))),X3)) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_59]) ).

tcf(c_261564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(X3,X2))),X4)) = iPr_def_19 )
      | ~ mem(X0,X2)
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_61]) ).

tcf(c_261565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,X2)
      | ( sK0(iPr_def_20,m(p(s(m(X2,X3))),X4)) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_60]) ).

tcf(c_261566,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(u(X2,X1))),X3)) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_57]) ).

tcf(c_261567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(X0,u(X3,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X3,X2))),X4)) = iPr_def_19 )
      | ~ mem(sK0(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_181154]) ).

tcf(c_261568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(X0,u(X2,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X2,X3))),X4)) = iPr_def_19 )
      | ~ mem(sK0(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_181131]) ).

tcf(c_261569,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,X3)
      | mem(X0,X2)
      | ( sK0(iPr_def_20,m(p(s(u(X2,X3))),X4)) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_58]) ).

tcf(c_261570,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(u(X1,X2))),X3)) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(superposition,[status(thm)],[c_222507,c_56]) ).

tcf(c_261571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( m(iPr_def_12,X4) = X0 )
      | ( sK0(iPr_def_20,m(p(m(iPr_def_12,X2)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222507]) ).

tcf(c_261572,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = iPr_def_19 )
      | ( sK0(s(X0),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(p(m(iPr_def_12,X2)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_222498]) ).

tcf(c_261573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X2) = iPr_def_13 )
      | ( sK0(s(X2),iPr_def_13) = X2 )
      | ( sK0(iPr_def_20,m(p(s(s(X2))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_14,m(p(m(iPr_def_12,X0)),X1)) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221749]) ).

tcf(c_261574,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_10,X0) = e )
      | ( sK0(m(iPr_def_12,X2),p(iPr_def_10)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221194]) ).

tcf(c_261575,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(iPr_def_14,X0) = iPr_def_13 )
      | ( sK0(m(iPr_def_12,X2),p(iPr_def_14)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221190]) ).

tcf(c_261576,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(m(iPr_def_12,X2),p(iPr_def_16)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221186]) ).

tcf(c_261577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( mem(X4,X3)
      | ( sK0(iPr_def_20,m(p(s(s(X4))),X5)) = iPr_def_19 )
      | ~ subq(u(u(m(iPr_def_12,X0),X1),X2),X3) ),
    inference(superposition,[status(thm)],[c_222507,c_251778]) ).

tcf(c_261578,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_17 )
      | ( sK0(iPr_def_17,X0) = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X2),p(iPr_def_17)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221182]) ).

tcf(c_261579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_20 )
      | ( sK0(iPr_def_20,X0) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X2),p(iPr_def_20)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221178]) ).

tcf(c_261580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_12,X0) = iPr_def_10 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_19) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_221174]) ).

tcf(c_261581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X0,u(u(m(iPr_def_12,X2),X3),X4))
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_241531]) ).

tcf(c_261582,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,p(s(X1)))
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,p(m(iPr_def_12,X0))) ),
    inference(superposition,[status(thm)],[c_222507,c_249475]) ).

tcf(c_261583,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_249448]) ).

tcf(c_261584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X3,X2)
      | ( sK0(iPr_def_20,m(p(s(s(X3))),X4)) = iPr_def_19 )
      | ~ subq(u(m(iPr_def_12,X0),X1),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_240675]) ).

tcf(c_261585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,u(m(iPr_def_12,X2),X3))
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_231142]) ).

tcf(c_261586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(s(X2),X1) = s(X2) )
      | ( sK0(iPr_def_20,m(p(s(s(X2))),X3)) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),m(m(iPr_def_12,X0),X1)) = X2 ) ),
    inference(superposition,[status(thm)],[c_222507,c_205217]) ).

tcf(c_261587,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_17,p(m(iPr_def_12,X2))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_215990]) ).

tcf(c_261588,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_16,p(m(iPr_def_12,X2))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_213542]) ).

tcf(c_261589,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_210052]) ).

tcf(c_261590,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_207990]) ).

tcf(c_261591,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X3) = X0 )
      | ( sK0(s(X3),X0) = X3 )
      | ( sK0(m(iPr_def_12,X2),p(s(X3))) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201224]) ).

tcf(c_261592,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( sK0(m(iPr_def_12,X2),p(e)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201158]) ).

tcf(c_261593,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_20) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198916]) ).

tcf(c_261594,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_17) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198913]) ).

tcf(c_261595,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_16) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198910]) ).

tcf(c_261596,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_14) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198907]) ).

tcf(c_261597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_12) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198902]) ).

tcf(c_261598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( sK0(m(iPr_def_12,X2),iPr_def_10) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198900]) ).

tcf(c_261599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X3 )
      | ( sK0(m(iPr_def_12,X2),s(X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198893]) ).

tcf(c_261600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(m(iPr_def_12,X2),X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194628]) ).

tcf(c_261601,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(m(iPr_def_12,X2),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194424]) ).

tcf(c_261602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(m(iPr_def_12,X2),X3)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_194162]) ).

tcf(c_261603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(m(iPr_def_12,X2),X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193767]) ).

tcf(c_261604,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = X1 )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_205281]) ).

tcf(c_261605,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(m(iPr_def_12,X2),X3)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193585]) ).

tcf(c_261606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,m(m(iPr_def_12,X2),X3)) = e )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_193094]) ).

tcf(c_261607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = iPr_def_13 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202829]) ).

tcf(c_261608,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_10 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_10) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_204644]) ).

tcf(c_261609,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = iPr_def_12 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202516]) ).

tcf(c_261610,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = iPr_def_19 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202429]) ).

tcf(c_261611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = iPr_def_16 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202292]) ).

tcf(c_261612,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = iPr_def_10 )
      | ( sK0(s(s(X1)),p(iPr_def_21)) = s(X1) )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_202178]) ).

tcf(c_261613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_16) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_202596]) ).

tcf(c_261614,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_12 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_12) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_200599]) ).

tcf(c_261615,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(m(iPr_def_12,X2),e) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198892]) ).

tcf(c_261616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_13 )
      | ( sK0(s(X0),iPr_def_13) = X0 )
      | ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_191565]) ).

tcf(c_261617,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_189951]) ).

tcf(c_261618,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187678]) ).

tcf(c_261619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(iPr_def_17,m(iPr_def_12,X2)) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187544]) ).

tcf(c_261620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187217]) ).

tcf(c_261621,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_187125]) ).

tcf(c_261622,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = e )
      | ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_185753]) ).

tcf(c_261623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( sK0(iPr_def_14,s(X0)) = iPr_def_13 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_14) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184340]) ).

tcf(c_261624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_16 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_186435]) ).

tcf(c_261625,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( sK0(iPr_def_17,s(X0)) = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_17) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184332]) ).

tcf(c_261626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s(X0) = iPr_def_20 )
      | ( sK0(iPr_def_20,s(X0)) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X2),iPr_def_20) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184328]) ).

tcf(c_261629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X2,X1)
      | ( sK0(iPr_def_20,m(p(s(s(X2))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_181284]) ).

tcf(c_261630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(s(X1),iPr_def_21) = X1 )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_181677]) ).

tcf(c_261631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(m(iPr_def_12,X3),X2)
      | ( sK0(s(X0),X2) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_181019]) ).

tcf(c_261632,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_54]) ).

tcf(c_261633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = X2 )
      | ( sK0(s(X0),X2) = X0 )
      | ( sK0(s(X2),p(m(iPr_def_12,X3))) = X2 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_201224]) ).

tcf(c_261634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X2 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_198893]) ).

tcf(c_261635,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(s(X2))
      | mem(X2,p(X0))
      | ( sK0(iPr_def_20,m(p(s(s(X2))),X3)) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_182858]) ).

tcf(c_261636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = s(X2) )
      | ( sK0(s(X0),s(X2)) = X0 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184024]) ).

tcf(c_261637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X0) = s(X3) )
      | ( sK0(s(X3),s(X0)) = X3 )
      | ( sK0(m(iPr_def_12,X2),s(X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_184024]) ).

tcf(c_261638,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( s(X2) = X0 )
      | ( sK0(s(X2),X0) = X2 )
      | ( sK0(iPr_def_20,m(p(s(s(X2))),X3)) = iPr_def_19 )
      | ~ subq(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_181560]) ).

tcf(c_261639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X2 )
      | ( sK0(iPr_def_20,m(p(s(s(X2))),X3)) = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_55]) ).

tcf(c_261640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X2,X1)
      | ( sK0(iPr_def_20,m(p(s(sK0(X2,X1))),X3)) = iPr_def_19 )
      | ~ mem(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_49]) ).

tcf(c_261641,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subq(X0,X1)
      | mem(m(iPr_def_12,X3),X0)
      | ( sK0(iPr_def_20,m(p(s(sK0(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_50]) ).

tcf(c_261642,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(p(s(X0)),X1))
      | ( m(iPr_def_12,X2) = X0 )
      | ~ mem(iPr_def_19,m(p(s(X0)),X1)) ),
    inference(superposition,[status(thm)],[c_222507,c_49]) ).

tcf(c_261644,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(s(X2)),X3))
      | ( m(iPr_def_12,X1) = X2 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_181283]) ).

tcf(c_261646,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(s(X1)),X2))
      | ( m(iPr_def_12,X0) = X1 ) ),
    inference(superposition,[status(thm)],[c_222507,c_188300]) ).

tcf(c_261648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(s(X2)),X3))
      | ( m(iPr_def_12,X1) = X2 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_222507,c_183272]) ).

tcf(c_261945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ mem(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_260351,c_260350]) ).

tcf(c_262286,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(iPr_def_20),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260825,c_666,c_249448]) ).

tcf(c_262310,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(iPr_def_14),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260724,c_206064,c_193293]) ).

tcf(c_262313,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(iPr_def_16),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260717,c_193015,c_207813]) ).

tcf(c_262315,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(iPr_def_17),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260710,c_192554,c_209306]) ).

tcf(c_262351,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(iPr_def_19,X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260636,c_665,c_183366,c_220167]) ).

tcf(c_262370,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(iPr_def_21)),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260535,c_201212]) ).

tcf(c_262373,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(iPr_def_15)),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260523,c_208829]) ).

tcf(c_262376,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_12,X1) = iPr_def_18 )
      | ( sK0(iPr_def_20,m(p(s(iPr_def_18)),X0)) = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_260522,c_209621]) ).

tcf(c_262395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(X1)),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260363,c_181722]) ).

tcf(c_262405,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ subq(iPr_def_19,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_260369,c_260361]) ).

tcf(c_262432,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(sK0(X0,iPr_def_19))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261463,c_205070]) ).

tcf(c_263108,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_260401,c_260396]) ).

tcf(c_263797,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261137,c_205070]) ).

tcf(c_263867,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260961,c_231985]) ).

tcf(c_263870,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260959,c_205070]) ).

tcf(c_263880,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,iPr_def_15) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260940,c_205070]) ).

tcf(c_263907,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(iPr_def_13,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260915,c_205070]) ).

tcf(c_263917,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260901,c_205070]) ).

tcf(c_264690,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261232,c_205070]) ).

tcf(c_264694,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_16,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261231,c_231985]) ).

tcf(c_264741,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261033,c_205070]) ).

tcf(c_264745,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_18,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_261032,c_231985]) ).

tcf(c_264765,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_15,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260987,c_205070]) ).

tcf(c_264773,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260874,c_205070]) ).

tcf(c_264777,plain,
    ! [X0: $i,X1: $i] :
      ( ( m(iPr_def_21,X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260873,c_231985]) ).

tcf(c_265110,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260844,c_231985]) ).

tcf(c_265115,plain,
    ! [X0: $i,X1: $i] :
      ( subq(p(iPr_def_21),X0)
      | ( sK0(p(iPr_def_21),X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(sK0(p(iPr_def_21),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_260843,c_205070]) ).

tcf(c_269789,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(X0,iPr_def_19)),p(X1)) = u(X0,iPr_def_19) ) ),
    inference(superposition,[status(thm)],[c_198897,c_260290]) ).

tcf(c_269790,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_19))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(X1,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_64,c_260290]) ).

tcf(c_269795,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,iPr_def_19))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_19))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_260290]) ).

tcf(c_269796,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(X0,iPr_def_19),X1)),
    inference(superposition,[status(thm)],[c_230853,c_260290]) ).

tcf(c_269797,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_19))
      | mem(iPr_def_12,m(u(X0,iPr_def_19),X1))
      | ~ atleast2p(m(u(X0,iPr_def_19),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_260290]) ).

tcf(c_269798,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,iPr_def_19))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_260290]) ).

tcf(c_269799,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_19))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_260290]) ).

tcf(c_269800,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(X1,iPr_def_19))),
    inference(superposition,[status(thm)],[c_254989,c_260290]) ).

tcf(c_269803,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_232859,c_260290]) ).

tcf(c_269804,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_19))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_260290]) ).

tcf(c_269805,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_19))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_260290]) ).

tcf(c_269806,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_19))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_260290]) ).

tcf(c_269808,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_19))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_260290]) ).

tcf(c_269809,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_19))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_260290]) ).

tcf(c_269810,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_19))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_260290]) ).

tcf(c_269811,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_19))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_260290]) ).

tcf(c_269812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_19))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_260290]) ).

tcf(c_269954,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(X0,iPr_def_19)),p(X1)) = u(X0,iPr_def_19) ) ),
    inference(superposition,[status(thm)],[c_198897,c_260298]) ).

tcf(c_269955,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_19))
      | mem(e,p(X0))
      | ~ mem(X0,u(X1,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_64,c_260298]) ).

tcf(c_269961,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(X0,iPr_def_19),X1)),
    inference(superposition,[status(thm)],[c_230853,c_260298]) ).

tcf(c_269962,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_19))
      | mem(e,m(u(X0,iPr_def_19),X1))
      | ~ atleast2p(m(u(X0,iPr_def_19),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_260298]) ).

tcf(c_269963,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,iPr_def_19))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_260298]) ).

tcf(c_269964,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_19))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_260298]) ).

tcf(c_269965,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(X1,iPr_def_19))),
    inference(superposition,[status(thm)],[c_254989,c_260298]) ).

tcf(c_269967,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_19))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_260298]) ).

tcf(c_269968,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_19)) ),
    inference(superposition,[status(thm)],[c_232859,c_260298]) ).

tcf(c_269969,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_19))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_260298]) ).

tcf(c_269970,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_19))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_260298]) ).

tcf(c_269977,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_19))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_260298]) ).

tcf(c_269978,plain,
    atleast3p(u(iPr_def_21,iPr_def_19)),
    inference(forward_subsumption_resolution,[status(thm)],[c_269968,c_186043]) ).

tcf(c_269979,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_19))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_269970,c_189349]) ).

tcf(c_269982,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_19))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_269969,c_188023]) ).

tcf(c_269985,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_19))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_269967,c_188033]) ).

tcf(c_269988,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_19))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_269964,c_185745]) ).

tcf(c_270028,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(X0,iPr_def_10)),p(X1)) = u(X0,iPr_def_10) ) ),
    inference(superposition,[status(thm)],[c_198897,c_260304]) ).

tcf(c_270029,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_10))
      | mem(e,p(X0))
      | ~ mem(X0,u(X1,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_64,c_260304]) ).

tcf(c_270035,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(X0,iPr_def_10),X1)),
    inference(superposition,[status(thm)],[c_230853,c_260304]) ).

tcf(c_270036,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_10))
      | mem(e,m(u(X0,iPr_def_10),X1))
      | ~ atleast2p(m(u(X0,iPr_def_10),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_260304]) ).

tcf(c_270037,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,iPr_def_10))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_260304]) ).

tcf(c_270038,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_10))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_260304]) ).

tcf(c_270039,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(X1,iPr_def_10))),
    inference(superposition,[status(thm)],[c_254989,c_260304]) ).

tcf(c_270041,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_10))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_260304]) ).

tcf(c_270042,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_232859,c_260304]) ).

tcf(c_270043,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_10))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_260304]) ).

tcf(c_270044,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_10))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_260304]) ).

tcf(c_270051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_10))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_260304]) ).

tcf(c_270053,plain,
    atleast3p(u(iPr_def_21,iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_270042,c_186043]) ).

tcf(c_270054,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_10))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_270044,c_189349]) ).

tcf(c_270057,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_10))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_270043,c_188023]) ).

tcf(c_270060,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_10))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_270041,c_188033]) ).

tcf(c_270063,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_10))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_270038,c_185745]) ).

tcf(c_270138,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,iPr_def_12)),p(X1)) = u(X0,iPr_def_12) ) ),
    inference(superposition,[status(thm)],[c_198897,c_260310]) ).

tcf(c_270139,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_12))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(X1,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_64,c_260310]) ).

tcf(c_270141,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,iPr_def_12))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_12))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_260310]) ).

tcf(c_270142,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_12))
      | ( sK0(s(u(X0,iPr_def_12)),p(iPr_def_21)) = u(X0,iPr_def_12) )
      | ~ atleast3p(u(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_202546,c_260310]) ).

tcf(c_270143,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_12))
      | ( sK0(iPr_def_17,u(X0,iPr_def_12)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_260310]) ).

tcf(c_270145,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(X0,iPr_def_12),X1)),
    inference(superposition,[status(thm)],[c_230853,c_260310]) ).

tcf(c_270146,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_12))
      | mem(iPr_def_10,m(u(X0,iPr_def_12),X1))
      | ~ atleast2p(m(u(X0,iPr_def_12),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_260310]) ).

tcf(c_270147,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,iPr_def_12))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_260310]) ).

tcf(c_270149,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(X1,iPr_def_12))),
    inference(superposition,[status(thm)],[c_254989,c_260310]) ).

tcf(c_270151,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_12))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_260310]) ).

tcf(c_270153,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_12))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_260310]) ).

tcf(c_270154,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_12))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_260310]) ).

tcf(c_270155,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_12))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_260310]) ).

tcf(c_270156,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_12))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_260310]) ).

tcf(c_270157,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_12))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_260310]) ).

tcf(c_270158,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_12))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_260310]) ).

tcf(c_270160,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_12))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_260310]) ).

tcf(c_270161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_12))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_260310]) ).

tcf(c_270349,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_19)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_19) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,iPr_def_19))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_269978,c_220152]) ).

tcf(c_270350,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_19)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_19) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,iPr_def_19))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_269978,c_219246]) ).

tcf(c_270351,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_19)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_19) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,iPr_def_19))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_269978,c_218749]) ).

tcf(c_270352,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_19)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_19) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,iPr_def_19))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_269978,c_218515]) ).

tcf(c_270353,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_19)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_19) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,iPr_def_19))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_269978,c_218103]) ).

tcf(c_270354,plain,
    ( ( u(iPr_def_21,iPr_def_19) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_21,iPr_def_19)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_19) ) ),
    inference(superposition,[status(thm)],[c_269978,c_202915]) ).

tcf(c_270372,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_10)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_10) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,iPr_def_10))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_270053,c_220152]) ).

tcf(c_270373,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_10)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_10) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,iPr_def_10))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_270053,c_219246]) ).

tcf(c_270374,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_10)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_10) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,iPr_def_10))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_270053,c_218749]) ).

tcf(c_270375,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_10)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_10) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,iPr_def_10))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_270053,c_218515]) ).

tcf(c_270376,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_10)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_10) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,iPr_def_10))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_270053,c_218103]) ).

tcf(c_270377,plain,
    ( ( u(iPr_def_21,iPr_def_10) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_21,iPr_def_10)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_10) ) ),
    inference(superposition,[status(thm)],[c_270053,c_202915]) ).

tcf(c_270395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_14))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255411]) ).

tcf(c_270397,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(X0,iPr_def_14),X1) ),
    inference(superposition,[status(thm)],[c_255411,c_51]) ).

tcf(c_270399,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(X1,iPr_def_14))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255411,c_187127]) ).

tcf(c_270404,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_16))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255414]) ).

tcf(c_270405,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(X0,iPr_def_16),X1) ),
    inference(superposition,[status(thm)],[c_255414,c_51]) ).

tcf(c_270407,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,iPr_def_16))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255414,c_187219]) ).

tcf(c_270408,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,iPr_def_16))
      | subq(u(X0,iPr_def_16),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255414,c_181263]) ).

tcf(c_270421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_21,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_260898]) ).

tcf(c_270432,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_15,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_261027]) ).

tcf(c_270443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_261071]) ).

tcf(c_270454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_261282]) ).

tcf(c_270467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,X3)
      | ( sK0(iPr_def_20,m(p(s(X3)),X4)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_260411]) ).

tcf(c_270480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( sK0(s(X3),iPr_def_21) = X3 )
      | ( sK0(iPr_def_20,m(p(s(s(X3))),X4)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_261630]) ).

tcf(c_270481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(s(X1),iPr_def_21) = X1 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_222507,c_261630]) ).

tcf(c_270498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_261357]) ).

tcf(c_270499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(X0)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(X0)
      | ~ subq(iPr_def_19,p(iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_222507,c_261357]) ).

tcf(c_270518,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(p(iPr_def_21),X1)
      | subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(p(iPr_def_21),X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_260860]) ).

tcf(c_270528,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 = X1 )
      | ( m(iPr_def_12,X4) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(s(X1),X2)))),X3)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223411]) ).

tcf(c_270529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 = X3 )
      | ( sK0(iPr_def_20,m(p(s(s(X3))),X4)) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),m(s(X1),X2)) = X3 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223411]) ).

tcf(c_270539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 = X3 )
      | ( sK0(s(X3),m(iPr_def_12,X4)) = X3 )
      | ( sK0(iPr_def_20,m(p(s(m(s(X0),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223411]) ).

tcf(c_270540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 = X3 )
      | ( sK0(iPr_def_20,m(p(s(s(X3))),X4)) = iPr_def_19 )
      | ( sK0(s(X0),m(m(iPr_def_12,X1),X2)) = X0 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223411]) ).

tcf(c_270550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(s(X0),m(s(X1),X2))
      | ( X0 = X1 )
      | ~ mem(X0,m(s(X1),X2)) ),
    inference(superposition,[status(thm)],[c_223411,c_49]) ).

tcf(c_270552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(s(X2),X3))
      | ( X0 = X2 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223411,c_181283]) ).

tcf(c_270824,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(X0,iPr_def_14)),p(X1)) = u(X0,iPr_def_14) ) ),
    inference(superposition,[status(thm)],[c_198897,c_270397]) ).

tcf(c_270825,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_14))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(X1,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_64,c_270397]) ).

tcf(c_270827,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,iPr_def_14))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_14))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_270397]) ).

tcf(c_270828,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,iPr_def_14))
      | ( sK0(s(u(X0,iPr_def_14)),p(iPr_def_21)) = u(X0,iPr_def_14) )
      | ~ atleast3p(u(X0,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_202546,c_270397]) ).

tcf(c_270829,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,iPr_def_14))
      | ( sK0(iPr_def_17,u(X0,iPr_def_14)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_270397]) ).

tcf(c_270830,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,iPr_def_14))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_14))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_270397]) ).

tcf(c_270831,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(X0,iPr_def_14),X1)),
    inference(superposition,[status(thm)],[c_230853,c_270397]) ).

tcf(c_270832,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_14))
      | mem(iPr_def_13,m(u(X0,iPr_def_14),X1))
      | ~ atleast2p(m(u(X0,iPr_def_14),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_270397]) ).

tcf(c_270833,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,iPr_def_14))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_270397]) ).

tcf(c_270834,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_14))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_270397]) ).

tcf(c_270835,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(X1,iPr_def_14))),
    inference(superposition,[status(thm)],[c_254989,c_270397]) ).

tcf(c_270837,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_14))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_270397]) ).

tcf(c_270840,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_14))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_270397]) ).

tcf(c_270841,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_14))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_270397]) ).

tcf(c_270842,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_14))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_270397]) ).

tcf(c_270843,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_14))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_270397]) ).

tcf(c_270844,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_14))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_270397]) ).

tcf(c_270845,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_14))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_270397]) ).

tcf(c_270847,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_14))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_270397]) ).

tcf(c_270910,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(X0,iPr_def_16)),p(X1)) = u(X0,iPr_def_16) ) ),
    inference(superposition,[status(thm)],[c_198897,c_270405]) ).

tcf(c_270911,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_16))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(X1,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_64,c_270405]) ).

tcf(c_270916,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,iPr_def_16))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_16))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_270405]) ).

tcf(c_270917,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(X0,iPr_def_16),X1)),
    inference(superposition,[status(thm)],[c_230853,c_270405]) ).

tcf(c_270918,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_16))
      | mem(iPr_def_12,m(u(X0,iPr_def_16),X1))
      | ~ atleast2p(m(u(X0,iPr_def_16),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_270405]) ).

tcf(c_270919,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,iPr_def_16))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_270405]) ).

tcf(c_270920,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_16))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_270405]) ).

tcf(c_270921,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(X1,iPr_def_16))),
    inference(superposition,[status(thm)],[c_254989,c_270405]) ).

tcf(c_270924,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_232859,c_270405]) ).

tcf(c_270925,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_16))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_270405]) ).

tcf(c_270926,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_16))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_270405]) ).

tcf(c_270927,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_16))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_270405]) ).

tcf(c_270929,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_16))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_270405]) ).

tcf(c_270930,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_16))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_270405]) ).

tcf(c_270931,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_16))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_270405]) ).

tcf(c_270932,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_16))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_270405]) ).

tcf(c_270933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_16))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_270405]) ).

tcf(c_270985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(m(iPr_def_12,X2),iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222507,c_257657]) ).

tcf(c_270986,plain,
    ( subq(iPr_def_21,iPr_def_20)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_180980,c_257657]) ).

tcf(c_270993,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_20 )
      | ~ atleast2p(iPr_def_20)
      | ~ subq(iPr_def_20,u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_257657,c_52]) ).

tcf(c_270994,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_20)
      | atleast3p(u(s(X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_240675]) ).

tcf(c_270995,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_20)
      | atleast3p(u(u(s(X0),X1),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_251778]) ).

tcf(c_271003,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_12,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_233740]) ).

tcf(c_271004,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(iPr_def_14,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_233746]) ).

tcf(c_271005,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_16,iPr_def_21))
    | ~ atleast2p(iPr_def_20)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257657,c_250521]) ).

tcf(c_271006,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_16,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_233752]) ).

tcf(c_271007,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_17,iPr_def_21))
    | ~ atleast2p(iPr_def_20)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257657,c_250608]) ).

tcf(c_271008,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_17,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_233913]) ).

tcf(c_271014,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_251146]) ).

tcf(c_271016,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_250638]) ).

tcf(c_271017,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_239411]) ).

tcf(c_271018,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_239401]) ).

tcf(c_271020,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_239389]) ).

tcf(c_271021,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_239380]) ).

tcf(c_271022,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_240215]) ).

tcf(c_271023,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_240188]) ).

tcf(c_271025,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_239750]) ).

tcf(c_271026,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_239741]) ).

tcf(c_271029,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_247598]) ).

tcf(c_271030,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_247607]) ).

tcf(c_271031,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_247616]) ).

tcf(c_271032,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_248336]) ).

tcf(c_271033,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_248354]) ).

tcf(c_271034,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_248345]) ).

tcf(c_271035,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_249366]) ).

tcf(c_271036,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_248366]) ).

tcf(c_271038,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_249980]) ).

tcf(c_271039,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_249724]) ).

tcf(c_271041,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_249437]) ).

tcf(c_271042,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_249428]) ).

tcf(c_271049,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_242522]) ).

tcf(c_271050,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_241745]) ).

tcf(c_271051,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_241734]) ).

tcf(c_271052,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(p(iPr_def_10),iPr_def_21))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_241712]) ).

tcf(c_271054,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_251822]) ).

tcf(c_271056,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_252240]) ).

tcf(c_271057,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_252195]) ).

tcf(c_271058,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_252186]) ).

tcf(c_271077,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_10,iPr_def_20)
    | ~ atleast2p(iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_271018,c_180980]) ).

tcf(c_271078,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_13,iPr_def_20)
    | ~ atleast2p(iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_271017,c_180980]) ).

tcf(c_271158,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_20)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_271016,c_180980]) ).

tcf(c_271159,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_20)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_20) ),
    inference(light_normalisation,[status(thm)],[c_271014,c_180980]) ).

tcf(c_271174,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_20 )
      | ~ atleast2p(iPr_def_20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_270993,c_255004]) ).

tcf(c_271373,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_20 )
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_20)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_257658]) ).

tcf(c_271374,plain,
    ( atleast3p(u(iPr_def_20,iPr_def_21))
    | ( u(iPr_def_20,iPr_def_21) = iPr_def_20 )
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_231138,c_257658]) ).

tcf(c_271375,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_21))
    | ( u(iPr_def_21,iPr_def_21) = iPr_def_20 )
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_257658]) ).

tcf(c_271377,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_21) = iPr_def_20 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_222507,c_257658]) ).

tcf(c_271378,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_20 )
    | ~ subq(iPr_def_21,iPr_def_20) ),
    inference(superposition,[status(thm)],[c_180980,c_257658]) ).

tcf(c_271529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_17))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255420]) ).

tcf(c_271531,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(u(X0,iPr_def_17),X1) ),
    inference(superposition,[status(thm)],[c_255420,c_51]) ).

tcf(c_271533,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(X1,iPr_def_17))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_255420,c_187546]) ).

tcf(c_271538,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255428]) ).

tcf(c_271539,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(u(X0,iPr_def_18),X1) ),
    inference(superposition,[status(thm)],[c_255428,c_51]) ).

tcf(c_271541,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(X1,iPr_def_18))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_255428,c_187546]) ).

tcf(c_271546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255429]) ).

tcf(c_271547,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(X0,iPr_def_18),X1) ),
    inference(superposition,[status(thm)],[c_255429,c_51]) ).

tcf(c_271549,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,iPr_def_18))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255429,c_187219]) ).

tcf(c_271550,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,iPr_def_18))
      | subq(u(X0,iPr_def_18),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255429,c_181263]) ).

tcf(c_271557,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255432]) ).

tcf(c_271558,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(X0,iPr_def_15),X1) ),
    inference(superposition,[status(thm)],[c_255432,c_51]) ).

tcf(c_271560,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,iPr_def_15))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255432,c_189953]) ).

tcf(c_271572,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ~ subq(X0,iPr_def_17)
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248511,c_45420,c_60767,c_73749,c_74947,c_175450]) ).

tcf(c_271573,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_17) ),
    inference(renaming,[status(thm)],[c_271572]) ).

tcf(c_271580,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_17 )
      | ( sK0(s(X0),p(iPr_def_17)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_271573]) ).

tcf(c_271582,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_17),X0)
      | ( sK0(p(iPr_def_17),X0) = iPr_def_17 )
      | ~ atleast3p(sK0(p(iPr_def_17),X0)) ),
    inference(superposition,[status(thm)],[c_181000,c_271573]) ).

tcf(c_271584,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_17 )
      | ( sK0(s(X0),iPr_def_17) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_271573]) ).

tcf(c_271587,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_17 )
      | ( sK0(iPr_def_12,m(p(iPr_def_17),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_271573]) ).

tcf(c_271588,plain,
    ( ( iPr_def_10 = iPr_def_17 )
    | ( sK0(iPr_def_16,p(p(iPr_def_17))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_271573]) ).

tcf(c_271589,plain,
    ( ( iPr_def_10 = iPr_def_17 )
    | ( sK0(iPr_def_14,p(p(iPr_def_17))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_271573]) ).

tcf(c_271590,plain,
    ( ( iPr_def_10 = iPr_def_17 )
    | ( sK0(iPr_def_12,p(iPr_def_17)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_271573]) ).

tcf(c_271612,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_17 )
      | ( sK0(iPr_def_14,m(p(iPr_def_17),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_271573]) ).

tcf(c_271615,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_17 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_271573]) ).

tcf(c_271618,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_17 )
      | ~ subq(iPr_def_19,p(iPr_def_17))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_271573]) ).

tcf(c_271700,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ~ subq(X0,iPr_def_16)
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248578,c_3075,c_43581,c_60767,c_73749,c_73852]) ).

tcf(c_271701,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_16) ),
    inference(renaming,[status(thm)],[c_271700]) ).

tcf(c_271708,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(s(X0),p(iPr_def_16)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_271701]) ).

tcf(c_271710,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_16),X0)
      | ( sK0(p(iPr_def_16),X0) = iPr_def_16 )
      | ~ atleast3p(sK0(p(iPr_def_16),X0)) ),
    inference(superposition,[status(thm)],[c_181000,c_271701]) ).

tcf(c_271715,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_16 )
      | ( sK0(iPr_def_12,m(p(iPr_def_16),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_271701]) ).

tcf(c_271716,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_16,p(p(iPr_def_16))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_271701]) ).

tcf(c_271717,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_14,p(p(iPr_def_16))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_271701]) ).

tcf(c_271718,plain,
    ( ( iPr_def_10 = iPr_def_16 )
    | ( sK0(iPr_def_12,p(iPr_def_16)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_271701]) ).

tcf(c_271748,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_16 )
      | ~ subq(iPr_def_19,p(iPr_def_16))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_271701]) ).

tcf(c_271782,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_18 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248718,c_109858,c_248718]) ).

tcf(c_271784,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ~ subq(X0,iPr_def_14)
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248777,c_60565,c_60767,c_75444,c_175443,c_205700]) ).

tcf(c_271785,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ~ atleast3p(X0)
      | ~ subq(X0,iPr_def_14) ),
    inference(renaming,[status(thm)],[c_271784]) ).

tcf(c_271792,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_14 )
      | ( sK0(s(X0),p(iPr_def_14)) = X0 )
      | ~ atleast3p(X0) ),
    inference(superposition,[status(thm)],[c_198897,c_271785]) ).

tcf(c_271794,plain,
    ! [X0: $i] :
      ( subq(p(iPr_def_14),X0)
      | ( sK0(p(iPr_def_14),X0) = iPr_def_14 )
      | ~ atleast3p(sK0(p(iPr_def_14),X0)) ),
    inference(superposition,[status(thm)],[c_181000,c_271785]) ).

tcf(c_271796,plain,
    ! [X0: $i] :
      ( ( s(X0) = iPr_def_14 )
      | ( sK0(s(X0),iPr_def_14) = X0 )
      | ~ atleast3p(s(X0)) ),
    inference(superposition,[status(thm)],[c_181019,c_271785]) ).

tcf(c_271799,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_14 )
      | ( sK0(iPr_def_12,m(p(iPr_def_14),X0)) = iPr_def_10 )
      | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_194632,c_271785]) ).

tcf(c_271800,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_16,p(p(iPr_def_14))) = iPr_def_12 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_213546,c_271785]) ).

tcf(c_271801,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_14,p(p(iPr_def_14))) = iPr_def_13 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_207994,c_271785]) ).

tcf(c_271802,plain,
    ( ( iPr_def_10 = iPr_def_14 )
    | ( sK0(iPr_def_12,p(iPr_def_14)) = iPr_def_10 )
    | ~ atleast3p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_189955,c_271785]) ).

tcf(c_271824,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_14 )
      | ( sK0(iPr_def_14,m(p(iPr_def_14),X0)) = iPr_def_13 )
      | ~ atleast3p(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_193589,c_271785]) ).

tcf(c_271827,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_14,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_205070,c_271785]) ).

tcf(c_271830,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_14 )
      | ~ subq(iPr_def_19,p(iPr_def_14))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_205285,c_271785]) ).

tcf(c_271894,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = e )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(iPr_def_10,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223418]) ).

tcf(c_271895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = e )
      | ( sK0(m(iPr_def_12,X2),m(iPr_def_10,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223418]) ).

tcf(c_271905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = e )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223418]) ).

tcf(c_271906,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(iPr_def_10,X1))
      | ( X0 = e )
      | ~ mem(X0,m(iPr_def_10,X1)) ),
    inference(superposition,[status(thm)],[c_223418,c_49]) ).

tcf(c_271908,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(iPr_def_10,X2))
      | ( X0 = e )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223418,c_181283]) ).

tcf(c_271935,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(X0,iPr_def_17)),p(X1)) = u(X0,iPr_def_17) ) ),
    inference(superposition,[status(thm)],[c_198897,c_271531]) ).

tcf(c_271936,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_17))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,u(X1,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_64,c_271531]) ).

tcf(c_271938,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(X0,iPr_def_17))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_17))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_271531]) ).

tcf(c_271939,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,iPr_def_17))
      | ( sK0(s(u(X0,iPr_def_17)),p(iPr_def_21)) = u(X0,iPr_def_17) )
      | ~ atleast3p(u(X0,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_202546,c_271531]) ).

tcf(c_271940,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,iPr_def_17))
      | ( sK0(iPr_def_17,u(X0,iPr_def_17)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_271531]) ).

tcf(c_271941,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(X0,iPr_def_17))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_17))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_271531]) ).

tcf(c_271942,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(u(X0,iPr_def_17),X1)),
    inference(superposition,[status(thm)],[c_230853,c_271531]) ).

tcf(c_271943,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_17))
      | mem(iPr_def_16,m(u(X0,iPr_def_17),X1))
      | ~ atleast2p(m(u(X0,iPr_def_17),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_271531]) ).

tcf(c_271944,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(X0,iPr_def_17))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_271531]) ).

tcf(c_271945,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_17))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_271531]) ).

tcf(c_271946,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(X0,u(X1,iPr_def_17))),
    inference(superposition,[status(thm)],[c_254989,c_271531]) ).

tcf(c_271948,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_17))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_271531]) ).

tcf(c_271949,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_232859,c_271531]) ).

tcf(c_271950,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_17))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_271531]) ).

tcf(c_271952,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_17))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_271531]) ).

tcf(c_271953,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_17))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_271531]) ).

tcf(c_271954,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_17))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_271531]) ).

tcf(c_271956,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_17))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_271531]) ).

tcf(c_271957,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_17))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_271531]) ).

tcf(c_271958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_17))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_271531]) ).

tcf(c_272121,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(X0,iPr_def_18)),p(X1)) = u(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198897,c_271539]) ).

tcf(c_272122,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_18))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,u(X1,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_64,c_271539]) ).

tcf(c_272124,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(X0,iPr_def_18))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_18))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_271539]) ).

tcf(c_272125,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,iPr_def_18))
      | ( sK0(s(u(X0,iPr_def_18)),p(iPr_def_21)) = u(X0,iPr_def_18) )
      | ~ atleast3p(u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_202546,c_271539]) ).

tcf(c_272126,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,iPr_def_18))
      | ( sK0(iPr_def_17,u(X0,iPr_def_18)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_271539]) ).

tcf(c_272127,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(X0,iPr_def_18))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_18))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_271539]) ).

tcf(c_272128,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(u(X0,iPr_def_18),X1)),
    inference(superposition,[status(thm)],[c_230853,c_271539]) ).

tcf(c_272129,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | mem(iPr_def_16,m(u(X0,iPr_def_18),X1))
      | ~ atleast2p(m(u(X0,iPr_def_18),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_271539]) ).

tcf(c_272130,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_271539]) ).

tcf(c_272131,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_271539]) ).

tcf(c_272132,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(X0,u(X1,iPr_def_18))),
    inference(superposition,[status(thm)],[c_254989,c_271539]) ).

tcf(c_272135,plain,
    ( mem(iPr_def_16,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_232859,c_271539]) ).

tcf(c_272136,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_271539]) ).

tcf(c_272137,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_271539]) ).

tcf(c_272140,plain,
    ( mem(iPr_def_16,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_271539]) ).

tcf(c_272142,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_271539]) ).

tcf(c_272144,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_271539]) ).

tcf(c_272145,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_271539]) ).

tcf(c_272146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_18))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_271539]) ).

tcf(c_272259,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(X0,iPr_def_18)),p(X1)) = u(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198897,c_271547]) ).

tcf(c_272260,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_18))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(X1,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_64,c_271547]) ).

tcf(c_272265,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,iPr_def_18))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_18))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_271547]) ).

tcf(c_272266,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(X0,iPr_def_18),X1)),
    inference(superposition,[status(thm)],[c_230853,c_271547]) ).

tcf(c_272267,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_18))
      | mem(iPr_def_12,m(u(X0,iPr_def_18),X1))
      | ~ atleast2p(m(u(X0,iPr_def_18),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_271547]) ).

tcf(c_272268,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_271547]) ).

tcf(c_272269,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_271547]) ).

tcf(c_272270,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(X1,iPr_def_18))),
    inference(superposition,[status(thm)],[c_254989,c_271547]) ).

tcf(c_272273,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_232859,c_271547]) ).

tcf(c_272275,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_271547]) ).

tcf(c_272277,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_271547]) ).

tcf(c_272278,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_271547]) ).

tcf(c_272280,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_271547]) ).

tcf(c_272282,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_271547]) ).

tcf(c_272283,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_271547]) ).

tcf(c_272284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_18))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_271547]) ).

tcf(c_272395,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,iPr_def_15)),p(X1)) = u(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_271558]) ).

tcf(c_272396,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_15))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(X1,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_64,c_271558]) ).

tcf(c_272398,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,iPr_def_15))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_15))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_271558]) ).

tcf(c_272399,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_15))
      | ( sK0(s(u(X0,iPr_def_15)),p(iPr_def_21)) = u(X0,iPr_def_15) )
      | ~ atleast3p(u(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_202546,c_271558]) ).

tcf(c_272400,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_15))
      | ( sK0(iPr_def_17,u(X0,iPr_def_15)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_271558]) ).

tcf(c_272402,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(X0,iPr_def_15),X1)),
    inference(superposition,[status(thm)],[c_230853,c_271558]) ).

tcf(c_272403,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | mem(iPr_def_10,m(u(X0,iPr_def_15),X1))
      | ~ atleast2p(m(u(X0,iPr_def_15),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_271558]) ).

tcf(c_272404,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,iPr_def_15))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_271558]) ).

tcf(c_272406,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(X1,iPr_def_15))),
    inference(superposition,[status(thm)],[c_254989,c_271558]) ).

tcf(c_272408,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_271558]) ).

tcf(c_272412,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(X0,iPr_def_15))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_257618,c_271558]) ).

tcf(c_272413,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_271558]) ).

tcf(c_272414,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_271558]) ).

tcf(c_272415,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_271558]) ).

tcf(c_272416,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_15))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_271558]) ).

tcf(c_272417,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_271558]) ).

tcf(c_272420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_15))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_271558]) ).

tcf(c_272471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_15))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255436]) ).

tcf(c_272472,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(X0,iPr_def_15),X1) ),
    inference(superposition,[status(thm)],[c_255436,c_51]) ).

tcf(c_272474,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(X1,iPr_def_15))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255436,c_187127]) ).

tcf(c_272532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_20))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255439]) ).

tcf(c_272534,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(u(X0,iPr_def_20),X1) ),
    inference(superposition,[status(thm)],[c_255439,c_51]) ).

tcf(c_272536,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(X1,iPr_def_20))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_255439,c_187680]) ).

tcf(c_272541,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255447]) ).

tcf(c_272543,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(X0,iPr_def_21),X1) ),
    inference(superposition,[status(thm)],[c_255447,c_51]) ).

tcf(c_272545,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,iPr_def_21))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255447,c_189953]) ).

tcf(c_272551,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255448]) ).

tcf(c_272553,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ subq(u(X0,iPr_def_21),X1) ),
    inference(superposition,[status(thm)],[c_255448,c_51]) ).

tcf(c_272555,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(X1,iPr_def_21))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_255448,c_187546]) ).

tcf(c_272564,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_15 )
      | ( sK0(iPr_def_20,p(s(X0))) = iPr_def_19 )
      | ~ atleast3p(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_248924,c_90250,c_110342]) ).

tcf(c_272574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(X3,m(iPr_def_18,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_18,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_226306]) ).

tcf(c_272585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_10 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(iPr_def_12,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223420]) ).

tcf(c_272586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_10 )
      | ( sK0(m(iPr_def_12,X2),m(iPr_def_12,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223420]) ).

tcf(c_272596,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = iPr_def_10 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223420]) ).

tcf(c_272597,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = iPr_def_10 )
      | ( sK0(s(X2),X0) = X2 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223420]) ).

tcf(c_272598,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(iPr_def_12,X1))
      | ( X0 = iPr_def_10 )
      | ~ mem(X0,m(iPr_def_12,X1)) ),
    inference(superposition,[status(thm)],[c_223420,c_49]) ).

tcf(c_272600,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(iPr_def_12,X2))
      | ( X0 = iPr_def_10 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223420,c_181283]) ).

tcf(c_272841,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(X0,iPr_def_15)),p(X1)) = u(X0,iPr_def_15) ) ),
    inference(superposition,[status(thm)],[c_198897,c_272472]) ).

tcf(c_272842,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_15))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(X1,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_64,c_272472]) ).

tcf(c_272844,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,iPr_def_15))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_15))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_272472]) ).

tcf(c_272845,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,iPr_def_15))
      | ( sK0(s(u(X0,iPr_def_15)),p(iPr_def_21)) = u(X0,iPr_def_15) )
      | ~ atleast3p(u(X0,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_202546,c_272472]) ).

tcf(c_272846,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,iPr_def_15))
      | ( sK0(iPr_def_17,u(X0,iPr_def_15)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_272472]) ).

tcf(c_272847,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,iPr_def_15))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_15))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_272472]) ).

tcf(c_272848,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(X0,iPr_def_15),X1)),
    inference(superposition,[status(thm)],[c_230853,c_272472]) ).

tcf(c_272849,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_15))
      | mem(iPr_def_13,m(u(X0,iPr_def_15),X1))
      | ~ atleast2p(m(u(X0,iPr_def_15),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_272472]) ).

tcf(c_272850,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,iPr_def_15))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_272472]) ).

tcf(c_272852,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(X1,iPr_def_15))),
    inference(superposition,[status(thm)],[c_254989,c_272472]) ).

tcf(c_272854,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_272472]) ).

tcf(c_272856,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(X0,iPr_def_15))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_256355,c_272472]) ).

tcf(c_272859,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_15))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_272472]) ).

tcf(c_272860,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_272472]) ).

tcf(c_272861,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_272472]) ).

tcf(c_272862,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_15))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_272472]) ).

tcf(c_272863,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_15))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_272472]) ).

tcf(c_272866,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_15))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_272472]) ).

tcf(c_272992,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(X0,iPr_def_20)),p(X1)) = u(X0,iPr_def_20) ) ),
    inference(superposition,[status(thm)],[c_198897,c_272534]) ).

tcf(c_272993,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_20))
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,u(X1,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_64,c_272534]) ).

tcf(c_272995,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(X0,iPr_def_20))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_20))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_272534]) ).

tcf(c_272996,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,iPr_def_20))
      | ( sK0(s(u(X0,iPr_def_20)),p(iPr_def_21)) = u(X0,iPr_def_20) )
      | ~ atleast3p(u(X0,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_202546,c_272534]) ).

tcf(c_272997,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,iPr_def_20))
      | ( sK0(iPr_def_17,u(X0,iPr_def_20)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_272534]) ).

tcf(c_272998,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(X0,iPr_def_20))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_20))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_272534]) ).

tcf(c_272999,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(u(X0,iPr_def_20),X1)),
    inference(superposition,[status(thm)],[c_230853,c_272534]) ).

tcf(c_273000,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_20))
      | mem(iPr_def_19,m(u(X0,iPr_def_20),X1))
      | ~ atleast2p(m(u(X0,iPr_def_20),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_272534]) ).

tcf(c_273001,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(X0,iPr_def_20))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_272534]) ).

tcf(c_273002,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_20))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_272534]) ).

tcf(c_273003,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(X0,u(X1,iPr_def_20))),
    inference(superposition,[status(thm)],[c_254989,c_272534]) ).

tcf(c_273005,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_20))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_272534]) ).

tcf(c_273006,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_20)) ),
    inference(superposition,[status(thm)],[c_232859,c_272534]) ).

tcf(c_273007,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_20))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_272534]) ).

tcf(c_273008,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_20))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_272534]) ).

tcf(c_273010,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_20))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_272534]) ).

tcf(c_273011,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_20))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_272534]) ).

tcf(c_273012,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_20))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_272534]) ).

tcf(c_273013,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_20))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_272534]) ).

tcf(c_273014,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_20))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_272534]) ).

tcf(c_273015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_20))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_272534]) ).

tcf(c_273034,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_273008,c_667]) ).

tcf(c_273038,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_273005,c_667]) ).

tcf(c_273132,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,iPr_def_21)),p(X1)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_272543]) ).

tcf(c_273133,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_21))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(X1,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_64,c_272543]) ).

tcf(c_273135,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_272543]) ).

tcf(c_273136,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_21)) = u(X0,iPr_def_21) )
      | ~ atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_202546,c_272543]) ).

tcf(c_273137,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_17,u(X0,iPr_def_21)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_272543]) ).

tcf(c_273139,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(X0,iPr_def_21),X1)),
    inference(superposition,[status(thm)],[c_230853,c_272543]) ).

tcf(c_273140,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | mem(iPr_def_10,m(u(X0,iPr_def_21),X1))
      | ~ atleast2p(m(u(X0,iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_272543]) ).

tcf(c_273141,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_272543]) ).

tcf(c_273143,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(X1,iPr_def_21))),
    inference(superposition,[status(thm)],[c_254989,c_272543]) ).

tcf(c_273145,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_272543]) ).

tcf(c_273147,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_272543]) ).

tcf(c_273148,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_272543]) ).

tcf(c_273150,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_272543]) ).

tcf(c_273151,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_272543]) ).

tcf(c_273153,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_272543]) ).

tcf(c_273155,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_272543]) ).

tcf(c_273157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_21))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_272543]) ).

tcf(c_273174,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_10,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_273147,c_180980]) ).

tcf(c_273225,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(u(X0,iPr_def_21)),p(X1)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_272553]) ).

tcf(c_273226,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_21))
      | mem(iPr_def_16,p(X0))
      | ~ mem(X0,u(X1,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_64,c_272553]) ).

tcf(c_273228,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_272553]) ).

tcf(c_273229,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_21)) = u(X0,iPr_def_21) )
      | ~ atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_202546,c_272553]) ).

tcf(c_273230,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_17,u(X0,iPr_def_21)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_272553]) ).

tcf(c_273231,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_272553]) ).

tcf(c_273232,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(u(X0,iPr_def_21),X1)),
    inference(superposition,[status(thm)],[c_230853,c_272553]) ).

tcf(c_273233,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | mem(iPr_def_16,m(u(X0,iPr_def_21),X1))
      | ~ atleast2p(m(u(X0,iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_272553]) ).

tcf(c_273234,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_272553]) ).

tcf(c_273235,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_272553]) ).

tcf(c_273236,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_16,u(X0,u(X1,iPr_def_21))),
    inference(superposition,[status(thm)],[c_254989,c_272553]) ).

tcf(c_273238,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_272553]) ).

tcf(c_273240,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_272553]) ).

tcf(c_273243,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_272553]) ).

tcf(c_273244,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_272553]) ).

tcf(c_273247,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_272553]) ).

tcf(c_273248,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_272553]) ).

tcf(c_273249,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_272553]) ).

tcf(c_273250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_21))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_272553]) ).

tcf(c_273266,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_273240,c_180980]) ).

tcf(c_273270,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_273235,c_180980]) ).

tcf(c_273345,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255449]) ).

tcf(c_273347,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(u(X0,iPr_def_21),X1) ),
    inference(superposition,[status(thm)],[c_255449,c_51]) ).

tcf(c_273349,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(X1,iPr_def_21))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_255449,c_187680]) ).

tcf(c_273359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255450]) ).

tcf(c_273361,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(X0,iPr_def_21),X1) ),
    inference(superposition,[status(thm)],[c_255450,c_51]) ).

tcf(c_273363,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,iPr_def_21))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255450,c_187219]) ).

tcf(c_273364,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,iPr_def_21))
      | subq(u(X0,iPr_def_21),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255450,c_181263]) ).

tcf(c_273371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255451]) ).

tcf(c_273373,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(X0,iPr_def_21),X1) ),
    inference(superposition,[status(thm)],[c_255451,c_51]) ).

tcf(c_273375,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(X1,iPr_def_21))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255451,c_187127]) ).

tcf(c_273459,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255462]) ).

tcf(c_273460,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(X0,iPr_def_13),X1) ),
    inference(superposition,[status(thm)],[c_255462,c_51]) ).

tcf(c_273462,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,iPr_def_13))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255462,c_189953]) ).

tcf(c_273472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_13 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(iPr_def_14,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223425]) ).

tcf(c_273473,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_13 )
      | ( sK0(m(iPr_def_12,X2),m(iPr_def_14,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223425]) ).

tcf(c_273483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = iPr_def_13 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223425]) ).

tcf(c_273484,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(iPr_def_14,X1))
      | ( X0 = iPr_def_13 )
      | ~ mem(X0,m(iPr_def_14,X1)) ),
    inference(superposition,[status(thm)],[c_223425,c_49]) ).

tcf(c_273486,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(iPr_def_14,X2))
      | ( X0 = iPr_def_13 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223425,c_181283]) ).

tcf(c_273512,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(X0,iPr_def_21)),p(X1)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_273347]) ).

tcf(c_273513,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_21))
      | mem(iPr_def_19,p(X0))
      | ~ mem(X0,u(X1,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_64,c_273347]) ).

tcf(c_273515,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_273347]) ).

tcf(c_273516,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_21)) = u(X0,iPr_def_21) )
      | ~ atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_202546,c_273347]) ).

tcf(c_273517,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_17,u(X0,iPr_def_21)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_273347]) ).

tcf(c_273518,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_273347]) ).

tcf(c_273519,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(u(X0,iPr_def_21),X1)),
    inference(superposition,[status(thm)],[c_230853,c_273347]) ).

tcf(c_273520,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | mem(iPr_def_19,m(u(X0,iPr_def_21),X1))
      | ~ atleast2p(m(u(X0,iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_273347]) ).

tcf(c_273521,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_273347]) ).

tcf(c_273522,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_273347]) ).

tcf(c_273523,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(X0,u(X1,iPr_def_21))),
    inference(superposition,[status(thm)],[c_254989,c_273347]) ).

tcf(c_273525,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_273347]) ).

tcf(c_273527,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_273347]) ).

tcf(c_273528,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_273347]) ).

tcf(c_273531,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_273347]) ).

tcf(c_273533,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_273347]) ).

tcf(c_273534,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_273347]) ).

tcf(c_273535,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_273347]) ).

tcf(c_273536,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_273347]) ).

tcf(c_273537,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_21))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_273347]) ).

tcf(c_273556,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_273527,c_180980]) ).

tcf(c_273560,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_273522,c_180980]) ).

tcf(c_273598,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(X0,iPr_def_21)),p(X1)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_273361]) ).

tcf(c_273599,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_21))
      | mem(iPr_def_12,p(X0))
      | ~ mem(X0,u(X1,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_64,c_273361]) ).

tcf(c_273604,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_273361]) ).

tcf(c_273605,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(X0,iPr_def_21),X1)),
    inference(superposition,[status(thm)],[c_230853,c_273361]) ).

tcf(c_273606,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | mem(iPr_def_12,m(u(X0,iPr_def_21),X1))
      | ~ atleast2p(m(u(X0,iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_273361]) ).

tcf(c_273607,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_273361]) ).

tcf(c_273608,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_273361]) ).

tcf(c_273609,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(X1,iPr_def_21))),
    inference(superposition,[status(thm)],[c_254989,c_273361]) ).

tcf(c_273613,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_273361]) ).

tcf(c_273614,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_273361]) ).

tcf(c_273616,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_273361]) ).

tcf(c_273619,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_273361]) ).

tcf(c_273620,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_273361]) ).

tcf(c_273621,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_273361]) ).

tcf(c_273622,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258678,c_273361]) ).

tcf(c_273623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_21))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_273361]) ).

tcf(c_273642,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_14)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_273613,c_180980]) ).

tcf(c_273643,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_273608,c_180980]) ).

tcf(c_273667,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(X0,iPr_def_21)),p(X1)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_273373]) ).

tcf(c_273668,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_21))
      | mem(iPr_def_13,p(X0))
      | ~ mem(X0,u(X1,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_64,c_273373]) ).

tcf(c_273670,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_273373]) ).

tcf(c_273671,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_21)) = u(X0,iPr_def_21) )
      | ~ atleast3p(u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_202546,c_273373]) ).

tcf(c_273672,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_17,u(X0,iPr_def_21)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_273373]) ).

tcf(c_273673,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,iPr_def_21))
      | ( sK0(iPr_def_14,p(u(X0,iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_273373]) ).

tcf(c_273674,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(X0,iPr_def_21),X1)),
    inference(superposition,[status(thm)],[c_230853,c_273373]) ).

tcf(c_273675,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | mem(iPr_def_13,m(u(X0,iPr_def_21),X1))
      | ~ atleast2p(m(u(X0,iPr_def_21),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_273373]) ).

tcf(c_273676,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_273373]) ).

tcf(c_273677,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_273373]) ).

tcf(c_273678,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(X1,iPr_def_21))),
    inference(superposition,[status(thm)],[c_254989,c_273373]) ).

tcf(c_273680,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_273373]) ).

tcf(c_273683,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_273373]) ).

tcf(c_273685,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_257657,c_273373]) ).

tcf(c_273686,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_273373]) ).

tcf(c_273688,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_273373]) ).

tcf(c_273689,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_21,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_273373]) ).

tcf(c_273692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_21))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_273373]) ).

tcf(c_273712,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_13,iPr_def_12)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_273677,c_180980]) ).

tcf(c_273833,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,iPr_def_13)),p(X1)) = u(X0,iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_273460]) ).

tcf(c_273834,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_13))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(X1,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_64,c_273460]) ).

tcf(c_273836,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,iPr_def_13))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_273460]) ).

tcf(c_273837,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_13))
      | ( sK0(s(u(X0,iPr_def_13)),p(iPr_def_21)) = u(X0,iPr_def_13) )
      | ~ atleast3p(u(X0,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_202546,c_273460]) ).

tcf(c_273838,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_13))
      | ( sK0(iPr_def_17,u(X0,iPr_def_13)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_273460]) ).

tcf(c_273840,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(X0,iPr_def_13),X1)),
    inference(superposition,[status(thm)],[c_230853,c_273460]) ).

tcf(c_273841,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | mem(iPr_def_10,m(u(X0,iPr_def_13),X1))
      | ~ atleast2p(m(u(X0,iPr_def_13),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_273460]) ).

tcf(c_273842,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,iPr_def_13))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_273460]) ).

tcf(c_273844,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(X1,iPr_def_13))),
    inference(superposition,[status(thm)],[c_254989,c_273460]) ).

tcf(c_273846,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_273460]) ).

tcf(c_273848,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_273460]) ).

tcf(c_273849,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_273460]) ).

tcf(c_273850,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_21,iPr_def_13))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_273460]) ).

tcf(c_273851,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,iPr_def_13))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_273460]) ).

tcf(c_273852,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_273460]) ).

tcf(c_273853,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,iPr_def_13))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_273460]) ).

tcf(c_273855,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_13))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_273460]) ).

tcf(c_273856,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_13))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_273460]) ).

tcf(c_273910,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255463]) ).

tcf(c_273911,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(X0,iPr_def_13),X1) ),
    inference(superposition,[status(thm)],[c_255463,c_51]) ).

tcf(c_273913,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(X1,iPr_def_13))) = e,
    inference(superposition,[status(thm)],[c_255463,c_185755]) ).

tcf(c_273918,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_256325]) ).

tcf(c_273925,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_21 )
      | ~ subq(iPr_def_21,m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_256325,c_52]) ).

tcf(c_273926,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_256325,c_180963]) ).

tcf(c_273933,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_18)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_256552]) ).

tcf(c_273934,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_202827]) ).

tcf(c_273936,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_202427]) ).

tcf(c_273938,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_202176]) ).

tcf(c_273939,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_18)
      | subq(iPr_def_18,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_65]) ).

tcf(c_273940,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_18 )
      | ~ subq(iPr_def_18,m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_52]) ).

tcf(c_273941,plain,
    ! [X0: $i] : subq(m(iPr_def_17,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_256552,c_231667]) ).

tcf(c_273942,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_18 )
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_210202]) ).

tcf(c_273945,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_273939,c_182872]) ).

tcf(c_273963,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_15)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_256827]) ).

tcf(c_273965,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | ( sK0(s(m(iPr_def_14,X0)),p(iPr_def_21)) = m(iPr_def_14,X0) )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_256827,c_202514]) ).

tcf(c_273966,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | ( sK0(s(m(iPr_def_14,X0)),p(iPr_def_21)) = m(iPr_def_14,X0) )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_256827,c_202427]) ).

tcf(c_273967,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | ( sK0(s(m(iPr_def_14,X0)),p(iPr_def_21)) = m(iPr_def_14,X0) )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_256827,c_202290]) ).

tcf(c_273969,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | subq(iPr_def_15,m(iPr_def_14,X0))
      | ~ atleast2p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_256827,c_65]) ).

tcf(c_273970,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_14,X0) = iPr_def_15 )
      | ~ subq(iPr_def_15,m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_256827,c_52]) ).

tcf(c_273971,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_14,X0) = iPr_def_15 )
      | ( sK0(s(m(iPr_def_14,X0)),p(iPr_def_21)) = m(iPr_def_14,X0) )
      | ~ atleast3p(m(iPr_def_14,X0)) ),
    inference(superposition,[status(thm)],[c_256827,c_202127]) ).

tcf(c_274076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_273926]) ).

tcf(c_274077,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_202827]) ).

tcf(c_274078,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_202514]) ).

tcf(c_274079,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_202427]) ).

tcf(c_274080,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_202290]) ).

tcf(c_274081,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_202176]) ).

tcf(c_274083,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_273926,c_52]) ).

tcf(c_274084,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_215595]) ).

tcf(c_274085,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_214259]) ).

tcf(c_274086,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_213166]) ).

tcf(c_274087,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_209799]) ).

tcf(c_274088,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_184804]) ).

tcf(c_274089,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_184712]) ).

tcf(c_274090,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_184534]) ).

tcf(c_274091,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_183356]) ).

tcf(c_274092,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_181843]) ).

tcf(c_274093,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_181840]) ).

tcf(c_274094,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_181422]) ).

tcf(c_274095,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_273926,c_181661]) ).

tcf(c_274120,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274083,c_256325]) ).

tcf(c_274123,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274081,c_183066]) ).

tcf(c_274127,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274080,c_183066]) ).

tcf(c_274131,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274079,c_183066]) ).

tcf(c_274135,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274078,c_183066]) ).

tcf(c_274139,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274077,c_183066]) ).

tcf(c_274150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_273945]) ).

tcf(c_274157,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_18 )
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_273945,c_52]) ).

tcf(c_274158,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_188431]) ).

tcf(c_274159,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_212580]) ).

tcf(c_274160,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_209404]) ).

tcf(c_274161,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_186614]) ).

tcf(c_274162,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_186601]) ).

tcf(c_274163,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_188416]) ).

tcf(c_274165,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273945,c_181297]) ).

tcf(c_274185,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_18 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274157,c_256552]) ).

tcf(c_274204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274084]) ).

tcf(c_274211,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_17 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_274084,c_52]) ).

tcf(c_274213,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_20,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274084,c_193464]) ).

tcf(c_274214,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_20,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274084,c_193438]) ).

tcf(c_274215,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274084,c_189330]) ).

tcf(c_274216,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274084,c_183155]) ).

tcf(c_274243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274085]) ).

tcf(c_274250,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_274085,c_52]) ).

tcf(c_274251,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274085,c_189313]) ).

tcf(c_274252,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274085,c_183780]) ).

tcf(c_274271,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274086]) ).

tcf(c_274290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274087]) ).

tcf(c_274297,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_274087,c_52]) ).

tcf(c_274301,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_20,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274087,c_186614]) ).

tcf(c_274302,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_20,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274087,c_186601]) ).

tcf(c_274379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274088]) ).

tcf(c_274386,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_274088,c_52]) ).

tcf(c_274387,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274088,c_184434]) ).

tcf(c_274388,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274088,c_186343]) ).

tcf(c_274389,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274088,c_186324]) ).

tcf(c_274390,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274088,c_186305]) ).

tcf(c_274418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274089]) ).

tcf(c_274425,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_274089,c_52]) ).

tcf(c_274426,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_20,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_184414]) ).

tcf(c_274427,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_195726]) ).

tcf(c_274428,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_186629]) ).

tcf(c_274429,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_186418]) ).

tcf(c_274430,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_186373]) ).

tcf(c_274431,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_187372]) ).

tcf(c_274432,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274089,c_186666]) ).

tcf(c_274532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_12 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(iPr_def_16,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223428]) ).

tcf(c_274533,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_12 )
      | ( sK0(m(iPr_def_12,X2),m(iPr_def_16,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223428]) ).

tcf(c_274543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = iPr_def_12 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223428]) ).

tcf(c_274544,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(iPr_def_16,X1))
      | ( X0 = iPr_def_12 )
      | ~ mem(X0,m(iPr_def_16,X1)) ),
    inference(superposition,[status(thm)],[c_223428,c_49]) ).

tcf(c_274546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(iPr_def_16,X2))
      | ( X0 = iPr_def_12 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223428,c_181283]) ).

tcf(c_274572,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(X0,iPr_def_13)),p(X1)) = u(X0,iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_273911]) ).

tcf(c_274573,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X1,iPr_def_13))
      | mem(e,p(X0))
      | ~ mem(X0,u(X1,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_64,c_273911]) ).

tcf(c_274579,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(X0,iPr_def_13),X1)),
    inference(superposition,[status(thm)],[c_230853,c_273911]) ).

tcf(c_274580,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | mem(e,m(u(X0,iPr_def_13),X1))
      | ~ atleast2p(m(u(X0,iPr_def_13),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_273911]) ).

tcf(c_274581,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,iPr_def_13))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_273911]) ).

tcf(c_274582,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_273911]) ).

tcf(c_274583,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(X1,iPr_def_13))),
    inference(superposition,[status(thm)],[c_254989,c_273911]) ).

tcf(c_274585,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_273911]) ).

tcf(c_274586,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_21,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_232859,c_273911]) ).

tcf(c_274587,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_273911]) ).

tcf(c_274588,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_273911]) ).

tcf(c_274595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_13))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_273911]) ).

tcf(c_274596,plain,
    atleast3p(u(iPr_def_21,iPr_def_13)),
    inference(forward_subsumption_resolution,[status(thm)],[c_274586,c_186043]) ).

tcf(c_274597,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274588,c_189349]) ).

tcf(c_274600,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274587,c_188023]) ).

tcf(c_274603,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274585,c_188033]) ).

tcf(c_274606,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274582,c_185745]) ).

tcf(c_274677,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(m(iPr_def_12,X2),iPr_def_16)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_257673]) ).

tcf(c_274678,plain,
    ( subq(iPr_def_21,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_180980,c_257673]) ).

tcf(c_274685,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16)
      | ~ subq(iPr_def_16,u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_257673,c_52]) ).

tcf(c_274686,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | atleast3p(u(s(X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_240675]) ).

tcf(c_274689,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_16)
      | atleast3p(u(u(s(X0),X1),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_251778]) ).

tcf(c_274696,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_273373]) ).

tcf(c_274698,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_273347]) ).

tcf(c_274699,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_272553]) ).

tcf(c_274700,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_272543]) ).

tcf(c_274707,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_20,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_251178]) ).

tcf(c_274708,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_20,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_251165]) ).

tcf(c_274713,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_251130]) ).

tcf(c_274714,plain,
    ( mem(iPr_def_16,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_250638]) ).

tcf(c_274715,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_239411]) ).

tcf(c_274716,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_239401]) ).

tcf(c_274728,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_247598]) ).

tcf(c_274729,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_247607]) ).

tcf(c_274731,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_248336]) ).

tcf(c_274733,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_248345]) ).

tcf(c_274734,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_249366]) ).

tcf(c_274735,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_248366]) ).

tcf(c_274736,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_249420]) ).

tcf(c_274737,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_249980]) ).

tcf(c_274739,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_249705]) ).

tcf(c_274740,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_249437]) ).

tcf(c_274741,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_249428]) ).

tcf(c_274748,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_242522]) ).

tcf(c_274750,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_241734]) ).

tcf(c_274751,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(p(iPr_def_10),iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_241712]) ).

tcf(c_274752,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(p(iPr_def_19),iPr_def_21))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_241723]) ).

tcf(c_274753,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_251822]) ).

tcf(c_274754,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_252172]) ).

tcf(c_274755,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_252240]) ).

tcf(c_274757,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_257673,c_252186]) ).

tcf(c_274758,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_10,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_274716,c_180980]) ).

tcf(c_274759,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_13,iPr_def_16)
    | ~ atleast2p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_274715,c_180980]) ).

tcf(c_274854,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_16)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_274714,c_180980]) ).

tcf(c_274855,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_16)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_16) ),
    inference(light_normalisation,[status(thm)],[c_274713,c_180980]) ).

tcf(c_274870,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_16 )
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_274685,c_255010]) ).

tcf(c_274980,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_16 )
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_16)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_257674]) ).

tcf(c_274981,plain,
    ( atleast3p(u(iPr_def_16,iPr_def_21))
    | ( u(iPr_def_16,iPr_def_21) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231138,c_257674]) ).

tcf(c_274982,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_21))
    | ( u(iPr_def_18,iPr_def_21) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_257674]) ).

tcf(c_274983,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_21))
    | ( u(iPr_def_21,iPr_def_21) = iPr_def_16 )
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_257674]) ).

tcf(c_274985,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_21) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_222507,c_257674]) ).

tcf(c_274986,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_16 )
    | ~ subq(iPr_def_21,iPr_def_16) ),
    inference(superposition,[status(thm)],[c_180980,c_257674]) ).

tcf(c_275009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | subq(m(iPr_def_12,X2),iPr_def_10)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_13))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_258630]) ).

tcf(c_275016,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | ( u(X0,iPr_def_13) = iPr_def_10 )
      | ~ atleast2p(iPr_def_10)
      | ~ subq(iPr_def_10,u(X0,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_258630,c_52]) ).

tcf(c_275017,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_10)
      | atleast3p(u(s(X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_240675]) ).

tcf(c_275018,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_10)
      | atleast3p(u(u(s(X0),X1),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_251778]) ).

tcf(c_275021,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_19,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_233447]) ).

tcf(c_275024,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(u(iPr_def_19,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_246504]) ).

tcf(c_275026,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(X0,iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_273460]) ).

tcf(c_275028,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_14,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_233746]) ).

tcf(c_275029,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | atleast3p(u(iPr_def_16,iPr_def_13))
    | ~ atleast2p(iPr_def_16)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_250521]) ).

tcf(c_275030,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_16,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_233752]) ).

tcf(c_275031,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_17,iPr_def_13))
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_250608]) ).

tcf(c_275032,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | atleast3p(u(iPr_def_17,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_233913]) ).

tcf(c_275033,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_20,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_251178]) ).

tcf(c_275034,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_20,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_251165]) ).

tcf(c_275035,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | atleast3p(u(iPr_def_20,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_239733]) ).

tcf(c_275038,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_251146]) ).

tcf(c_275039,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_251130]) ).

tcf(c_275040,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_250638]) ).

tcf(c_275041,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_15,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_239411]) ).

tcf(c_275043,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_243737]) ).

tcf(c_275044,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_239389]) ).

tcf(c_275045,plain,
    ( mem(iPr_def_16,iPr_def_10)
    | atleast3p(u(iPr_def_18,iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_239380]) ).

tcf(c_275053,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_247598]) ).

tcf(c_275054,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_247607]) ).

tcf(c_275055,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_247616]) ).

tcf(c_275056,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_248336]) ).

tcf(c_275057,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_248354]) ).

tcf(c_275058,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_248345]) ).

tcf(c_275059,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249366]) ).

tcf(c_275060,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_248366]) ).

tcf(c_275061,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249420]) ).

tcf(c_275062,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249980]) ).

tcf(c_275063,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249724]) ).

tcf(c_275064,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249705]) ).

tcf(c_275065,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249437]) ).

tcf(c_275066,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249428]) ).

tcf(c_275068,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(u(iPr_def_13,X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_249985]) ).

tcf(c_275070,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(p(iPr_def_15),iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_252816]) ).

tcf(c_275072,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(u(p(iPr_def_15),X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_254332]) ).

tcf(c_275073,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(p(iPr_def_13),iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_242522]) ).

tcf(c_275074,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(p(iPr_def_13),iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_241745]) ).

tcf(c_275075,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(p(iPr_def_13),iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_241734]) ).

tcf(c_275076,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(p(iPr_def_10),iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_241712]) ).

tcf(c_275077,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | atleast3p(u(p(iPr_def_19),iPr_def_13))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_241723]) ).

tcf(c_275078,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_251822]) ).

tcf(c_275079,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_252172]) ).

tcf(c_275080,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_252240]) ).

tcf(c_275081,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_252195]) ).

tcf(c_275082,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_13))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_258630,c_252186]) ).

tcf(c_275244,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_13))
      | ( u(X0,iPr_def_13) = iPr_def_10 )
      | ~ atleast2p(iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275016,c_255014]) ).

tcf(c_275557,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_13)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_13) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,iPr_def_13))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_274596,c_220152]) ).

tcf(c_275558,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_13)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_13) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,iPr_def_13))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_274596,c_219246]) ).

tcf(c_275559,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_13)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_13) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,iPr_def_13))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_274596,c_218749]) ).

tcf(c_275560,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_13)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_13) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,iPr_def_13))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_274596,c_218515]) ).

tcf(c_275561,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,iPr_def_13)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_13) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,iPr_def_13))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_274596,c_218103]) ).

tcf(c_275562,plain,
    ( ( u(iPr_def_21,iPr_def_13) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_21,iPr_def_13)),p(iPr_def_21)) = u(iPr_def_21,iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_274596,c_202915]) ).

tcf(c_275631,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(u(p(iPr_def_15),iPr_def_21))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258918]) ).

tcf(c_275632,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(p(iPr_def_15),iPr_def_21)),p(iPr_def_21)) = u(p(iPr_def_15),iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(p(iPr_def_15),iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258918,c_220152]) ).

tcf(c_275633,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(p(iPr_def_15),iPr_def_21)),p(iPr_def_21)) = u(p(iPr_def_15),iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(p(iPr_def_15),iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258918,c_219246]) ).

tcf(c_275634,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(p(iPr_def_15),iPr_def_21)),p(iPr_def_21)) = u(p(iPr_def_15),iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(p(iPr_def_15),iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258918,c_218749]) ).

tcf(c_275635,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(p(iPr_def_15),iPr_def_21)),p(iPr_def_21)) = u(p(iPr_def_15),iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(p(iPr_def_15),iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258918,c_218515]) ).

tcf(c_275636,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(p(iPr_def_15),iPr_def_21)),p(iPr_def_21)) = u(p(iPr_def_15),iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(p(iPr_def_15),iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258918,c_218103]) ).

tcf(c_275637,plain,
    ( ( u(p(iPr_def_15),iPr_def_21) = iPr_def_21 )
    | ( sK0(s(u(p(iPr_def_15),iPr_def_21)),p(iPr_def_21)) = u(p(iPr_def_15),iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258918,c_202915]) ).

tcf(c_275658,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(m(iPr_def_12,X2),iPr_def_21)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_273941]) ).

tcf(c_275665,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_21 )
      | ~ subq(iPr_def_21,m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273941,c_52]) ).

tcf(c_275666,plain,
    ! [X0: $i] :
      ( subq(iPr_def_21,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_273941,c_180963]) ).

tcf(c_275673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X1,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,s(X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255394]) ).

tcf(c_275674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(X0,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255394]) ).

tcf(c_275684,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X1,X2)
      | ~ subq(u(X0,s(X1)),X2) ),
    inference(superposition,[status(thm)],[c_255394,c_51]) ).

tcf(c_275686,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,s(iPr_def_12)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255394,c_187219]) ).

tcf(c_275687,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,s(iPr_def_12)))
      | subq(u(X0,s(iPr_def_12)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255394,c_181263]) ).

tcf(c_275688,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(X1,s(e)))) = e,
    inference(superposition,[status(thm)],[c_255394,c_185755]) ).

tcf(c_275689,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(X1,s(iPr_def_13)))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255394,c_187127]) ).

tcf(c_275690,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_17,m(X0,u(X1,s(iPr_def_16)))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_255394,c_187546]) ).

tcf(c_275691,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(X1,s(iPr_def_19)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_255394,c_187680]) ).

tcf(c_275692,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,s(iPr_def_10)))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255394,c_189953]) ).

tcf(c_275710,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275666]) ).

tcf(c_275711,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_202827]) ).

tcf(c_275712,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_202514]) ).

tcf(c_275713,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_202427]) ).

tcf(c_275714,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_202290]) ).

tcf(c_275715,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(iPr_def_21)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_202176]) ).

tcf(c_275717,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_21) ),
    inference(superposition,[status(thm)],[c_275666,c_52]) ).

tcf(c_275718,plain,
    ! [X0: $i] :
      ( subq(iPr_def_17,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_215595]) ).

tcf(c_275719,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_214259]) ).

tcf(c_275720,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_213166]) ).

tcf(c_275721,plain,
    ! [X0: $i] :
      ( subq(iPr_def_18,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_209799]) ).

tcf(c_275722,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_184804]) ).

tcf(c_275723,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_184712]) ).

tcf(c_275724,plain,
    ! [X0: $i] :
      ( subq(iPr_def_15,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_184534]) ).

tcf(c_275725,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_183356]) ).

tcf(c_275726,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_181843]) ).

tcf(c_275727,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_181840]) ).

tcf(c_275728,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_181422]) ).

tcf(c_275729,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275666,c_181661]) ).

tcf(c_275754,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275717,c_273941]) ).

tcf(c_275757,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275715,c_183066]) ).

tcf(c_275761,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275714,c_183066]) ).

tcf(c_275765,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275713,c_183066]) ).

tcf(c_275769,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275712,c_183066]) ).

tcf(c_275773,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_21),p(iPr_def_21)) = iPr_def_21 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_275711,c_183066]) ).

tcf(c_275890,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274090]) ).

tcf(c_275891,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_202827]) ).

tcf(c_275892,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_202514]) ).

tcf(c_275893,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_202427]) ).

tcf(c_275894,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_202290]) ).

tcf(c_275895,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_20,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_202176]) ).

tcf(c_275897,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_20,X0) = iPr_def_15 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_274090,c_52]) ).

tcf(c_275901,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_182657]) ).

tcf(c_275902,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_182420]) ).

tcf(c_275903,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_20,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274090,c_182362]) ).

tcf(c_275944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274091]) ).

tcf(c_275945,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_274091,c_51]) ).

tcf(c_275946,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274091,c_61]) ).

tcf(c_275947,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274091,c_60]) ).

tcf(c_275948,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_20,X0))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274091,c_189953]) ).

tcf(c_275949,plain,
    ~ atleast3p(m(iPr_def_20,iPr_def_12)),
    inference(superposition,[status(thm)],[c_274091,c_221620]) ).

tcf(c_275950,plain,
    ( subq(iPr_def_12,m(iPr_def_20,iPr_def_21))
    | ~ atleast3p(m(iPr_def_20,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274091,c_221064]) ).

tcf(c_275951,plain,
    ( subq(iPr_def_12,m(iPr_def_20,iPr_def_13))
    | ~ atleast3p(m(iPr_def_20,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_274091,c_221090]) ).

tcf(c_275952,plain,
    ( subq(iPr_def_12,m(iPr_def_20,iPr_def_15))
    | ~ atleast3p(m(iPr_def_20,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_274091,c_221423]) ).

tcf(c_276023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274092]) ).

tcf(c_276024,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_274092,c_51]) ).

tcf(c_276025,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274092,c_61]) ).

tcf(c_276026,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274092,c_60]) ).

tcf(c_276027,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_20,X0))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274092,c_187546]) ).

tcf(c_276028,plain,
    ~ atleast3p(m(iPr_def_20,iPr_def_17)),
    inference(superposition,[status(thm)],[c_274092,c_220034]) ).

tcf(c_276029,plain,
    ( subq(iPr_def_17,m(iPr_def_20,iPr_def_18))
    | ~ atleast3p(m(iPr_def_20,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_274092,c_220416]) ).

tcf(c_276030,plain,
    ( subq(iPr_def_17,m(iPr_def_20,iPr_def_21))
    | ~ atleast3p(m(iPr_def_20,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274092,c_220436]) ).

tcf(c_276051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274093]) ).

tcf(c_276052,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_274093,c_51]) ).

tcf(c_276053,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274093,c_61]) ).

tcf(c_276055,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_20,X0))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274093,c_187680]) ).

tcf(c_276056,plain,
    ~ atleast3p(m(iPr_def_20,iPr_def_20)),
    inference(superposition,[status(thm)],[c_274093,c_221228]) ).

tcf(c_276057,plain,
    ( subq(iPr_def_20,m(iPr_def_20,iPr_def_21))
    | ~ atleast3p(m(iPr_def_20,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274093,c_221029]) ).

tcf(c_276074,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274094]) ).

tcf(c_276075,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_274094,c_51]) ).

tcf(c_276076,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274094,c_61]) ).

tcf(c_276077,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274094,c_60]) ).

tcf(c_276078,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_20,X0))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274094,c_187219]) ).

tcf(c_276079,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_20,X0))
      | subq(m(iPr_def_20,X0),iPr_def_19)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274094,c_181263]) ).

tcf(c_276080,plain,
    ~ atleast3p(m(iPr_def_20,iPr_def_16)),
    inference(superposition,[status(thm)],[c_274094,c_219646]) ).

tcf(c_276081,plain,
    ~ atleast3p(m(iPr_def_20,iPr_def_19)),
    inference(superposition,[status(thm)],[c_274094,c_219696]) ).

tcf(c_276082,plain,
    ( subq(iPr_def_16,m(iPr_def_20,iPr_def_18))
    | ~ atleast3p(m(iPr_def_20,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_274094,c_219579]) ).

tcf(c_276083,plain,
    ( subq(iPr_def_16,m(iPr_def_20,iPr_def_21))
    | ~ atleast3p(m(iPr_def_20,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274094,c_219911]) ).

tcf(c_276120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274095]) ).

tcf(c_276121,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(m(iPr_def_20,X0),X1) ),
    inference(superposition,[status(thm)],[c_274095,c_51]) ).

tcf(c_276122,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274095,c_61]) ).

tcf(c_276123,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274095,c_60]) ).

tcf(c_276124,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_20,X0))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_274095,c_187127]) ).

tcf(c_276125,plain,
    ~ atleast3p(m(iPr_def_20,iPr_def_14)),
    inference(superposition,[status(thm)],[c_274095,c_218478]) ).

tcf(c_276126,plain,
    ( subq(iPr_def_14,m(iPr_def_20,iPr_def_15))
    | ~ atleast3p(m(iPr_def_20,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_274095,c_219047]) ).

tcf(c_276127,plain,
    ( subq(iPr_def_14,m(iPr_def_20,iPr_def_21))
    | ~ atleast3p(m(iPr_def_20,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274095,c_219069]) ).

tcf(c_276182,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275718]) ).

tcf(c_276191,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275718,c_193464]) ).

tcf(c_276192,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275718,c_193438]) ).

tcf(c_276193,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275718,c_189330]) ).

tcf(c_276194,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275718,c_183155]) ).

tcf(c_276238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_16 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(iPr_def_17,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223431]) ).

tcf(c_276239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_16 )
      | ( sK0(m(iPr_def_12,X2),m(iPr_def_17,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223431]) ).

tcf(c_276249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = iPr_def_16 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223431]) ).

tcf(c_276250,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(iPr_def_17,X1))
      | ( X0 = iPr_def_16 )
      | ~ mem(X0,m(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_223431,c_49]) ).

tcf(c_276252,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(iPr_def_17,X2))
      | ( X0 = iPr_def_16 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223431,c_181283]) ).

tcf(c_276284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275947]) ).

tcf(c_276292,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276026]) ).

tcf(c_276300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276077]) ).

tcf(c_276323,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276123]) ).

tcf(c_276335,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275949]) ).

tcf(c_276354,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276028]) ).

tcf(c_276357,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,iPr_def_20))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276056]) ).

tcf(c_276360,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276080]) ).

tcf(c_276367,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275719]) ).

tcf(c_276374,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_275719,c_52]) ).

tcf(c_276375,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275719,c_189313]) ).

tcf(c_276376,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275719,c_183780]) ).

tcf(c_276395,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_20,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275720]) ).

tcf(c_276402,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_20 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_20) ),
    inference(superposition,[status(thm)],[c_275720,c_52]) ).

tcf(c_276426,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_18,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275721]) ).

tcf(c_276433,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_18) ),
    inference(superposition,[status(thm)],[c_275721,c_52]) ).

tcf(c_276437,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275721,c_186614]) ).

tcf(c_276438,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275721,c_186601]) ).

tcf(c_276448,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_18 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_276433,c_256552]) ).

tcf(c_276488,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_14,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275722]) ).

tcf(c_276495,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_14 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_14) ),
    inference(superposition,[status(thm)],[c_275722,c_52]) ).

tcf(c_276496,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_14)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275722,c_184434]) ).

tcf(c_276497,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275722,c_186343]) ).

tcf(c_276498,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275722,c_186324]) ).

tcf(c_276499,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | mem(iPr_def_19,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275722,c_186305]) ).

tcf(c_276735,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275723]) ).

tcf(c_276742,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_275723,c_52]) ).

tcf(c_276743,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_15)
      | mem(iPr_def_13,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_12)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_184414]) ).

tcf(c_276744,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ( iPr_def_14 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_195726]) ).

tcf(c_276745,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ( iPr_def_12 = iPr_def_13 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_186629]) ).

tcf(c_276746,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_16 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_186418]) ).

tcf(c_276747,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_17,X0))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_186373]) ).

tcf(c_276748,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_187372]) ).

tcf(c_276749,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275723,c_186666]) ).

tcf(c_276789,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_15,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275724]) ).

tcf(c_276790,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_202827]) ).

tcf(c_276791,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_202514]) ).

tcf(c_276792,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_202427]) ).

tcf(c_276793,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_202290]) ).

tcf(c_276794,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,m(iPr_def_17,X0))
      | ( sK0(s(iPr_def_15),p(iPr_def_21)) = iPr_def_15 )
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_202176]) ).

tcf(c_276796,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_15 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_275724,c_52]) ).

tcf(c_276800,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_182657]) ).

tcf(c_276801,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_182420]) ).

tcf(c_276802,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,m(iPr_def_17,X0))
      | ~ atleast3p(iPr_def_15)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275724,c_182362]) ).

tcf(c_276843,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275725]) ).

tcf(c_276844,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_275725,c_51]) ).

tcf(c_276845,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_10,X0)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275725,c_61]) ).

tcf(c_276846,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275725,c_60]) ).

tcf(c_276847,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_12,m(X1,m(iPr_def_17,X0))) = iPr_def_10 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275725,c_189953]) ).

tcf(c_276848,plain,
    ~ atleast3p(m(iPr_def_17,iPr_def_12)),
    inference(superposition,[status(thm)],[c_275725,c_221620]) ).

tcf(c_276849,plain,
    ( subq(iPr_def_12,m(iPr_def_17,iPr_def_21))
    | ~ atleast3p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_275725,c_221064]) ).

tcf(c_276850,plain,
    ( subq(iPr_def_12,m(iPr_def_17,iPr_def_13))
    | ~ atleast3p(m(iPr_def_17,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_275725,c_221090]) ).

tcf(c_276851,plain,
    ( subq(iPr_def_12,m(iPr_def_17,iPr_def_15))
    | ~ atleast3p(m(iPr_def_17,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_275725,c_221423]) ).

tcf(c_276875,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275726]) ).

tcf(c_276876,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_275726,c_51]) ).

tcf(c_276877,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_16,X0)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275726,c_61]) ).

tcf(c_276879,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_17,m(X1,m(iPr_def_17,X0))) = iPr_def_16 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275726,c_187546]) ).

tcf(c_276880,plain,
    ~ atleast3p(m(iPr_def_17,iPr_def_17)),
    inference(superposition,[status(thm)],[c_275726,c_220034]) ).

tcf(c_276881,plain,
    ( subq(iPr_def_17,m(iPr_def_17,iPr_def_18))
    | ~ atleast3p(m(iPr_def_17,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_275726,c_220416]) ).

tcf(c_276882,plain,
    ( subq(iPr_def_17,m(iPr_def_17,iPr_def_21))
    | ~ atleast3p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_275726,c_220436]) ).

tcf(c_276901,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_19 )
      | ( m(iPr_def_12,X3) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),m(iPr_def_20,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223434]) ).

tcf(c_276902,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X2),m(iPr_def_20,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(s(X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223434]) ).

tcf(c_276912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = iPr_def_19 )
      | ( sK0(s(X2),m(iPr_def_12,X3)) = X2 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_223434]) ).

tcf(c_276913,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),m(iPr_def_20,X1))
      | ( X0 = iPr_def_19 )
      | ~ mem(X0,m(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_223434,c_49]) ).

tcf(c_276915,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),m(iPr_def_20,X2))
      | ( X0 = iPr_def_19 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_223434,c_181283]) ).

tcf(c_277016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276846]) ).

tcf(c_277024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275946]) ).

tcf(c_277032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276025]) ).

tcf(c_277040,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276053]) ).

tcf(c_277044,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276081]) ).

tcf(c_277047,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276125]) ).

tcf(c_277050,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_12))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276848]) ).

tcf(c_277054,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_17))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276880]) ).

tcf(c_277061,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275727]) ).

tcf(c_277062,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_275727,c_51]) ).

tcf(c_277063,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_19,X0)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275727,c_61]) ).

tcf(c_277064,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275727,c_60]) ).

tcf(c_277065,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(X1,m(iPr_def_17,X0))) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275727,c_187680]) ).

tcf(c_277066,plain,
    ~ atleast3p(m(iPr_def_17,iPr_def_20)),
    inference(superposition,[status(thm)],[c_275727,c_221228]) ).

tcf(c_277067,plain,
    ( subq(iPr_def_20,m(iPr_def_17,iPr_def_21))
    | ~ atleast3p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_275727,c_221029]) ).

tcf(c_277086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275728]) ).

tcf(c_277087,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_275728,c_51]) ).

tcf(c_277088,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275728,c_61]) ).

tcf(c_277089,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275728,c_60]) ).

tcf(c_277090,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_17,X0))) = iPr_def_12 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275728,c_187219]) ).

tcf(c_277091,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_17,X0))
      | subq(m(iPr_def_17,X0),iPr_def_19)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275728,c_181263]) ).

tcf(c_277092,plain,
    ~ atleast3p(m(iPr_def_17,iPr_def_16)),
    inference(superposition,[status(thm)],[c_275728,c_219646]) ).

tcf(c_277093,plain,
    ~ atleast3p(m(iPr_def_17,iPr_def_19)),
    inference(superposition,[status(thm)],[c_275728,c_219696]) ).

tcf(c_277094,plain,
    ( subq(iPr_def_16,m(iPr_def_17,iPr_def_18))
    | ~ atleast3p(m(iPr_def_17,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_275728,c_219579]) ).

tcf(c_277095,plain,
    ( subq(iPr_def_16,m(iPr_def_17,iPr_def_21))
    | ~ atleast3p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_275728,c_219911]) ).

tcf(c_277228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275729]) ).

tcf(c_277229,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_275729,c_51]) ).

tcf(c_277230,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_13,X0)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275729,c_61]) ).

tcf(c_277231,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275729,c_60]) ).

tcf(c_277232,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_14,m(X1,m(iPr_def_17,X0))) = iPr_def_13 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_275729,c_187127]) ).

tcf(c_277233,plain,
    ~ atleast3p(m(iPr_def_17,iPr_def_14)),
    inference(superposition,[status(thm)],[c_275729,c_218478]) ).

tcf(c_277234,plain,
    ( subq(iPr_def_14,m(iPr_def_17,iPr_def_15))
    | ~ atleast3p(m(iPr_def_17,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_275729,c_219047]) ).

tcf(c_277235,plain,
    ( subq(iPr_def_14,m(iPr_def_17,iPr_def_21))
    | ~ atleast3p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_275729,c_219069]) ).

tcf(c_277258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274076]) ).

tcf(c_277269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(iPr_def_21,m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275710]) ).

tcf(c_277274,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_20))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277066]) ).

tcf(c_277277,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277092]) ).

tcf(c_277280,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277093]) ).

tcf(c_277287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = X0 )
      | ( m(X0,X1) = X0 )
      | ( sK0(iPr_def_20,m(p(s(sK0(s(X0),p(m(X0,X1))))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225142]) ).

tcf(c_277288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(X1,X2) = X1 )
      | ( sK0(iPr_def_20,m(p(s(s(X1))),X3)) = iPr_def_19 )
      | ( sK0(m(iPr_def_12,X0),p(m(X1,X2))) = X1 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225142]) ).

tcf(c_277298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(X0,X1) = X0 )
      | ( sK0(s(X0),m(iPr_def_12,X3)) = X0 )
      | ( sK0(iPr_def_20,m(p(s(p(m(X0,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225142]) ).

tcf(c_277299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(X0,X1) = X0 )
      | ( sK0(s(X0),p(m(iPr_def_12,X3))) = X0 )
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225142]) ).

tcf(c_277301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(s(iPr_def_12),p(X0)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225142]) ).

tcf(c_277302,plain,
    ! [X0: $i,X1: $i] :
      ( subq(s(X0),p(m(X0,X1)))
      | ( m(X0,X1) = X0 )
      | ~ mem(X0,p(m(X0,X1))) ),
    inference(superposition,[status(thm)],[c_225142,c_49]) ).

tcf(c_277305,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X0,X1)
      | subq(s(X0),p(m(X0,X2)))
      | ( m(X0,X2) = X0 )
      | ~ subq(s(X0),X1) ),
    inference(superposition,[status(thm)],[c_225142,c_181283]) ).

tcf(c_277330,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277064]) ).

tcf(c_277420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277089]) ).

tcf(c_277428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277231]) ).

tcf(c_277436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276076]) ).

tcf(c_277440,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_14))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277233]) ).

tcf(c_277443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_10)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255465]) ).

tcf(c_277444,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(X0,p(iPr_def_10)),X1) ),
    inference(superposition,[status(thm)],[c_255465,c_51]) ).

tcf(c_277446,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,p(iPr_def_10)))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255465,c_189953]) ).

tcf(c_277454,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_19)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255531]) ).

tcf(c_277455,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ~ subq(u(X0,p(iPr_def_19)),X1) ),
    inference(superposition,[status(thm)],[c_255531,c_51]) ).

tcf(c_277457,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_20,m(X0,u(X1,p(iPr_def_19)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_255531,c_187680]) ).

tcf(c_277465,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_15)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255532]) ).

tcf(c_277466,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ~ subq(u(X0,p(iPr_def_15)),X1) ),
    inference(superposition,[status(thm)],[c_255532,c_51]) ).

tcf(c_277468,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,u(X1,p(iPr_def_15)))) = e,
    inference(superposition,[status(thm)],[c_255532,c_185755]) ).

tcf(c_277477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276122]) ).

tcf(c_277564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276845]) ).

tcf(c_277572,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_16,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276877]) ).

tcf(c_277580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_19,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277063]) ).

tcf(c_277588,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277088]) ).

tcf(c_277596,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_13,X1)
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277230]) ).

tcf(c_277604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_17,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274159]) ).

tcf(c_277610,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_17,X0))
      | subq(m(iPr_def_17,X0),iPr_def_17)
      | ~ atleast2p(iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274159,c_65]) ).

tcf(c_277618,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_17 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274159,c_205213]) ).

tcf(c_277630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(iPr_def_16,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274160]) ).

tcf(c_277636,plain,
    ! [X0: $i] :
      ( atleast3p(m(iPr_def_17,X0))
      | subq(m(iPr_def_17,X0),iPr_def_16)
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274160,c_65]) ).

tcf(c_277637,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_17,X0) = iPr_def_16 )
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),iPr_def_16) ),
    inference(superposition,[status(thm)],[c_274160,c_52]) ).

tcf(c_277638,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274160,c_189313]) ).

tcf(c_277639,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,m(iPr_def_17,X0))
      | ~ atleast2p(iPr_def_16)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274160,c_183780]) ).

tcf(c_277665,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( m(iPr_def_12,X3) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,m(p(m(iPr_def_19,X0)),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225145]) ).

tcf(c_277666,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(p(m(iPr_def_19,X0)),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225145]) ).

tcf(c_277667,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(m(iPr_def_12,X2),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225145]) ).

tcf(c_277668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(m(iPr_def_12,X2)),X3)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225145]) ).

tcf(c_277669,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_20,m(p(m(iPr_def_19,X0)),X1))
      | ( m(iPr_def_19,X0) = iPr_def_19 )
      | ~ mem(iPr_def_19,m(p(m(iPr_def_19,X0)),X1)) ),
    inference(superposition,[status(thm)],[c_225145,c_49]) ).

tcf(c_277671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(m(iPr_def_19,X1)),X2))
      | ( m(iPr_def_19,X1) = iPr_def_19 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_225145,c_181283]) ).

tcf(c_277673,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,m(p(m(iPr_def_19,X0)),X1))
      | ( m(iPr_def_19,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_225145,c_188300]) ).

tcf(c_277675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,m(p(m(iPr_def_19,X1)),X2))
      | ( m(iPr_def_19,X1) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225145,c_183272]) ).

tcf(c_277703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X1,X2)
      | ( sK0(s(u(X0,s(X1))),p(X2)) = u(X0,s(X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_275684]) ).

tcf(c_277704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(X2,p(X0))
      | atleast2p(u(X1,s(X2)))
      | ~ mem(X0,u(X1,s(X2))) ),
    inference(superposition,[status(thm)],[c_64,c_275684]) ).

tcf(c_277706,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,iPr_def_19)
      | atleast3p(u(X0,s(X1)))
      | ( sK0(iPr_def_20,p(u(X0,s(X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_275684]) ).

tcf(c_277707,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,iPr_def_19)
      | atleast2p(u(X0,s(X1)))
      | ( sK0(s(u(X0,s(X1))),p(iPr_def_21)) = u(X0,s(X1)) )
      | ~ atleast3p(u(X0,s(X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_275684]) ).

tcf(c_277708,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,iPr_def_19)
      | atleast2p(u(X0,s(X1)))
      | ( sK0(iPr_def_17,u(X0,s(X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_275684]) ).

tcf(c_277709,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,iPr_def_13)
      | atleast3p(u(X0,s(X1)))
      | ( sK0(iPr_def_14,p(u(X0,s(X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_275684]) ).

tcf(c_277710,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(X0,u(u(X1,s(X0)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_275684]) ).

tcf(c_277711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,s(X1)))
      | mem(X1,m(u(X0,s(X1)),X2))
      | ~ atleast2p(m(u(X0,s(X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_275684]) ).

tcf(c_277712,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X1,X0)
      | atleast3p(u(X0,s(X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_275684]) ).

tcf(c_277713,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | atleast3p(u(iPr_def_15,s(X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_275684]) ).

tcf(c_277714,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(X0,u(X1,u(X2,s(X0)))),
    inference(superposition,[status(thm)],[c_254989,c_275684]) ).

tcf(c_277716,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | atleast3p(u(iPr_def_18,s(X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_275684]) ).

tcf(c_277717,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_15)
      | atleast3p(u(iPr_def_21,s(X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_275684]) ).

tcf(c_277718,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | atleast3p(u(iPr_def_15,s(X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_275684]) ).

tcf(c_277719,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | atleast3p(u(iPr_def_18,s(X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_275684]) ).

tcf(c_277720,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_20)
      | atleast3p(u(iPr_def_21,s(X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_275684]) ).

tcf(c_277721,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_16)
      | atleast3p(u(iPr_def_21,s(X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_275684]) ).

tcf(c_277722,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_10)
      | atleast3p(u(iPr_def_13,s(X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_275684]) ).

tcf(c_277723,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | atleast3p(u(iPr_def_21,s(X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_275684]) ).

tcf(c_277724,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | atleast3p(u(iPr_def_21,s(X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_275684]) ).

tcf(c_277725,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | atleast3p(u(iPr_def_21,s(X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_275684]) ).

tcf(c_277726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X3,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,s(X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_275684]) ).

tcf(c_277727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(X3,X2)
      | ( sK0(iPr_def_20,m(p(s(s(X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_275684]) ).

tcf(c_277805,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,p(iPr_def_10))),p(X1)) = u(X0,p(iPr_def_10)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_277444]) ).

tcf(c_277806,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(X1,p(iPr_def_10)))
      | ~ mem(X0,u(X1,p(iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_64,c_277444]) ).

tcf(c_277808,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,p(iPr_def_10)))
      | ( sK0(iPr_def_20,p(u(X0,p(iPr_def_10)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_277444]) ).

tcf(c_277809,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_10)))
      | ( sK0(s(u(X0,p(iPr_def_10))),p(iPr_def_21)) = u(X0,p(iPr_def_10)) )
      | ~ atleast3p(u(X0,p(iPr_def_10))) ),
    inference(superposition,[status(thm)],[c_202546,c_277444]) ).

tcf(c_277810,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_10)))
      | ( sK0(iPr_def_17,u(X0,p(iPr_def_10))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_277444]) ).

tcf(c_277812,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(X0,p(iPr_def_10)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_277444]) ).

tcf(c_277813,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_10)))
      | mem(iPr_def_10,m(u(X0,p(iPr_def_10)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_10)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_277444]) ).

tcf(c_277814,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,p(iPr_def_10)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_277444]) ).

tcf(c_277816,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(X1,p(iPr_def_10)))),
    inference(superposition,[status(thm)],[c_254989,c_277444]) ).

tcf(c_277818,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_277444]) ).

tcf(c_277820,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_277444]) ).

tcf(c_277821,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_277444]) ).

tcf(c_277822,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_21,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_277444]) ).

tcf(c_277823,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_277444]) ).

tcf(c_277824,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_13,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_277444]) ).

tcf(c_277825,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_277444]) ).

tcf(c_277827,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,p(iPr_def_10)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_277444]) ).

tcf(c_277828,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_10)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_277444]) ).

tcf(c_277891,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(u(X0,p(iPr_def_19))),p(X1)) = u(X0,p(iPr_def_19)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_277455]) ).

tcf(c_277892,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,p(X0))
      | atleast2p(u(X1,p(iPr_def_19)))
      | ~ mem(X0,u(X1,p(iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_64,c_277455]) ).

tcf(c_277894,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(X0,p(iPr_def_19)))
      | ( sK0(iPr_def_20,p(u(X0,p(iPr_def_19)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_277455]) ).

tcf(c_277895,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_19)))
      | ( sK0(s(u(X0,p(iPr_def_19))),p(iPr_def_21)) = u(X0,p(iPr_def_19)) )
      | ~ atleast3p(u(X0,p(iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_202546,c_277455]) ).

tcf(c_277896,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_19)))
      | ( sK0(iPr_def_17,u(X0,p(iPr_def_19))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_277455]) ).

tcf(c_277897,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(X0,p(iPr_def_19)))
      | ( sK0(iPr_def_14,p(u(X0,p(iPr_def_19)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_277455]) ).

tcf(c_277898,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(u(X0,p(iPr_def_19)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_277455]) ).

tcf(c_277899,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_19)))
      | mem(iPr_def_19,m(u(X0,p(iPr_def_19)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_19)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_277455]) ).

tcf(c_277900,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(X0,p(iPr_def_19)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_277455]) ).

tcf(c_277901,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_15,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_277455]) ).

tcf(c_277902,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_19,u(X0,u(X1,p(iPr_def_19)))),
    inference(superposition,[status(thm)],[c_254989,c_277455]) ).

tcf(c_277904,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_18,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_277455]) ).

tcf(c_277905,plain,
    ( mem(iPr_def_19,iPr_def_15)
    | atleast3p(u(iPr_def_21,p(iPr_def_19))) ),
    inference(superposition,[status(thm)],[c_232859,c_277455]) ).

tcf(c_277906,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_15,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_277455]) ).

tcf(c_277907,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_18,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_277455]) ).

tcf(c_277909,plain,
    ( mem(iPr_def_19,iPr_def_16)
    | atleast3p(u(iPr_def_21,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_277455]) ).

tcf(c_277910,plain,
    ( mem(iPr_def_19,iPr_def_10)
    | atleast3p(u(iPr_def_13,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_277455]) ).

tcf(c_277911,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_21,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_277455]) ).

tcf(c_277912,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_21,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_277455]) ).

tcf(c_277913,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_21,p(iPr_def_19)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_277455]) ).

tcf(c_277914,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_19)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_277455]) ).

tcf(c_278094,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X1)
      | ( sK0(s(u(X0,p(iPr_def_15))),p(X1)) = u(X0,p(iPr_def_15)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_277466]) ).

tcf(c_278095,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(X1,p(iPr_def_15)))
      | ~ mem(X0,u(X1,p(iPr_def_15))) ),
    inference(superposition,[status(thm)],[c_64,c_277466]) ).

tcf(c_278101,plain,
    ! [X0: $i,X1: $i] : mem(e,u(u(X0,p(iPr_def_15)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_277466]) ).

tcf(c_278102,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_15)))
      | mem(e,m(u(X0,p(iPr_def_15)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_15)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_277466]) ).

tcf(c_278103,plain,
    ! [X0: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,p(iPr_def_15)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_277466]) ).

tcf(c_278104,plain,
    ( mem(e,iPr_def_12)
    | atleast3p(u(iPr_def_15,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_277466]) ).

tcf(c_278105,plain,
    ! [X0: $i,X1: $i] : mem(e,u(X0,u(X1,p(iPr_def_15)))),
    inference(superposition,[status(thm)],[c_254989,c_277466]) ).

tcf(c_278107,plain,
    ( mem(e,iPr_def_16)
    | atleast3p(u(iPr_def_18,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_277466]) ).

tcf(c_278108,plain,
    ( mem(e,iPr_def_15)
    | atleast3p(u(iPr_def_21,p(iPr_def_15))) ),
    inference(superposition,[status(thm)],[c_232859,c_277466]) ).

tcf(c_278109,plain,
    ( mem(e,iPr_def_14)
    | atleast3p(u(iPr_def_15,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_277466]) ).

tcf(c_278110,plain,
    ( mem(e,iPr_def_17)
    | atleast3p(u(iPr_def_18,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_277466]) ).

tcf(c_278117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_15)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_277466]) ).

tcf(c_278118,plain,
    atleast3p(u(iPr_def_21,p(iPr_def_15))),
    inference(forward_subsumption_resolution,[status(thm)],[c_278108,c_186043]) ).

tcf(c_278119,plain,
    ( atleast3p(u(iPr_def_18,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_278110,c_189349]) ).

tcf(c_278122,plain,
    ( atleast3p(u(iPr_def_15,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_278109,c_188023]) ).

tcf(c_278125,plain,
    ( atleast3p(u(iPr_def_18,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_278107,c_188033]) ).

tcf(c_278128,plain,
    ( atleast3p(u(iPr_def_15,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_278104,c_185745]) ).

tcf(c_278343,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(m(iPr_def_12,X1))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,p(iPr_def_15)))),X0)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_278118]) ).

tcf(c_278344,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,p(iPr_def_15))),p(iPr_def_21)) = u(iPr_def_21,p(iPr_def_15)) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,p(iPr_def_15)))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_278118,c_220152]) ).

tcf(c_278345,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,p(iPr_def_15))),p(iPr_def_21)) = u(iPr_def_21,p(iPr_def_15)) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,p(iPr_def_15)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_278118,c_219246]) ).

tcf(c_278346,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,p(iPr_def_15))),p(iPr_def_21)) = u(iPr_def_21,p(iPr_def_15)) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,p(iPr_def_15)))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_278118,c_218749]) ).

tcf(c_278347,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,p(iPr_def_15))),p(iPr_def_21)) = u(iPr_def_21,p(iPr_def_15)) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,p(iPr_def_15)))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_278118,c_218515]) ).

tcf(c_278348,plain,
    ! [X0: $i] :
      ( ( sK0(s(u(iPr_def_21,p(iPr_def_15))),p(iPr_def_21)) = u(iPr_def_21,p(iPr_def_15)) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,p(iPr_def_15)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_278118,c_218103]) ).

tcf(c_278349,plain,
    ( ( u(iPr_def_21,p(iPr_def_15)) = iPr_def_21 )
    | ( sK0(s(u(iPr_def_21,p(iPr_def_15))),p(iPr_def_21)) = u(iPr_def_21,p(iPr_def_15)) ) ),
    inference(superposition,[status(thm)],[c_278118,c_202915]) ).

tcf(c_278370,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_15)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255533]) ).

tcf(c_278371,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(X0,p(iPr_def_15)),X1) ),
    inference(superposition,[status(thm)],[c_255533,c_51]) ).

tcf(c_278373,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,p(iPr_def_15)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255533,c_187219]) ).

tcf(c_278374,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,p(iPr_def_15)))
      | subq(u(X0,p(iPr_def_15)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255533,c_181263]) ).

tcf(c_278412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255534]) ).

tcf(c_278413,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ~ subq(u(X0,p(iPr_def_13)),X1) ),
    inference(superposition,[status(thm)],[c_255534,c_51]) ).

tcf(c_278415,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_12,m(X0,u(X1,p(iPr_def_13)))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255534,c_189953]) ).

tcf(c_278423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255535]) ).

tcf(c_278424,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ subq(u(X0,p(iPr_def_13)),X1) ),
    inference(superposition,[status(thm)],[c_255535,c_51]) ).

tcf(c_278426,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_16,m(X0,u(X1,p(iPr_def_13)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255535,c_187219]) ).

tcf(c_278427,plain,
    ! [X0: $i] :
      ( atleast2p(u(X0,p(iPr_def_13)))
      | subq(u(X0,p(iPr_def_13)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255535,c_181263]) ).

tcf(c_278493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274165]) ).

tcf(c_278494,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_274165,c_51]) ).

tcf(c_278495,plain,
    ! [X0: $i] :
      ( ~ mem(iPr_def_12,X0)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274165,c_61]) ).

tcf(c_278496,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274165,c_60]) ).

tcf(c_278497,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_16,m(X1,m(iPr_def_17,X0))) = iPr_def_12 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274165,c_187219]) ).

tcf(c_278499,plain,
    ~ atleast2p(m(iPr_def_17,iPr_def_16)),
    inference(superposition,[status(thm)],[c_274165,c_219646]) ).

tcf(c_278500,plain,
    ~ atleast2p(m(iPr_def_17,iPr_def_19)),
    inference(superposition,[status(thm)],[c_274165,c_219696]) ).

tcf(c_278501,plain,
    ( subq(iPr_def_16,m(iPr_def_17,iPr_def_18))
    | ~ atleast2p(m(iPr_def_17,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_274165,c_219579]) ).

tcf(c_278502,plain,
    ( subq(iPr_def_16,m(iPr_def_17,iPr_def_21))
    | ~ atleast2p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274165,c_219911]) ).

tcf(c_278527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(m(iPr_def_19,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225146]) ).

tcf(c_278528,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225146]) ).

tcf(c_278529,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_19,X0) = iPr_def_19 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225146]) ).

tcf(c_278530,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_19,X0)))
      | ( m(iPr_def_19,X0) = iPr_def_19 )
      | ~ mem(iPr_def_19,p(m(iPr_def_19,X0))) ),
    inference(superposition,[status(thm)],[c_225146,c_49]) ).

tcf(c_278532,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(m(iPr_def_19,X0)))
      | ( m(iPr_def_19,X0) = iPr_def_19 )
      | ~ subq(iPr_def_19,m(iPr_def_19,X0)) ),
    inference(superposition,[status(thm)],[c_225146,c_181012]) ).

tcf(c_278533,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_19,X1)))
      | ( m(iPr_def_19,X1) = iPr_def_19 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_225146,c_181283]) ).

tcf(c_278535,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(m(iPr_def_19,X0)))
      | ( m(iPr_def_19,X0) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_225146,c_188300]) ).

tcf(c_278537,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(m(iPr_def_19,X1)))
      | ( m(iPr_def_19,X1) = iPr_def_19 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225146,c_183272]) ).

tcf(c_278562,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_278496]) ).

tcf(c_278571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_12,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_278495]) ).

tcf(c_278579,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(X0,p(iPr_def_15))),p(X1)) = u(X0,p(iPr_def_15)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_278371]) ).

tcf(c_278580,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(X1,p(iPr_def_15)))
      | ~ mem(X0,u(X1,p(iPr_def_15))) ),
    inference(superposition,[status(thm)],[c_64,c_278371]) ).

tcf(c_278585,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,p(iPr_def_15)))
      | ( sK0(iPr_def_14,p(u(X0,p(iPr_def_15)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_278371]) ).

tcf(c_278586,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(X0,p(iPr_def_15)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_278371]) ).

tcf(c_278587,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_15)))
      | mem(iPr_def_12,m(u(X0,p(iPr_def_15)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_15)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_278371]) ).

tcf(c_278588,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,p(iPr_def_15)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_278371]) ).

tcf(c_278590,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(X1,p(iPr_def_15)))),
    inference(superposition,[status(thm)],[c_254989,c_278371]) ).

tcf(c_278598,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_13,p(iPr_def_15)))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_278371]) ).

tcf(c_278602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_15)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_278371]) ).

tcf(c_278714,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,p(iPr_def_13))),p(X1)) = u(X0,p(iPr_def_13)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_278413]) ).

tcf(c_278715,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(X1,p(iPr_def_13)))
      | ~ mem(X0,u(X1,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_64,c_278413]) ).

tcf(c_278717,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_20,p(u(X0,p(iPr_def_13)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_278413]) ).

tcf(c_278718,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_13)))
      | ( sK0(s(u(X0,p(iPr_def_13))),p(iPr_def_21)) = u(X0,p(iPr_def_13)) )
      | ~ atleast3p(u(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_202546,c_278413]) ).

tcf(c_278719,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_17,u(X0,p(iPr_def_13))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_278413]) ).

tcf(c_278721,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(u(X0,p(iPr_def_13)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_278413]) ).

tcf(c_278722,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_13)))
      | mem(iPr_def_10,m(u(X0,p(iPr_def_13)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_13)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_278413]) ).

tcf(c_278723,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_278413]) ).

tcf(c_278725,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_10,u(X0,u(X1,p(iPr_def_13)))),
    inference(superposition,[status(thm)],[c_254989,c_278413]) ).

tcf(c_278727,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_18,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_278413]) ).

tcf(c_278729,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_278413]) ).

tcf(c_278730,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_18,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_278413]) ).

tcf(c_278731,plain,
    ( mem(iPr_def_10,iPr_def_20)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_278413]) ).

tcf(c_278732,plain,
    ( mem(iPr_def_10,iPr_def_16)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_278413]) ).

tcf(c_278733,plain,
    ( mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_13,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_278413]) ).

tcf(c_278734,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_278413]) ).

tcf(c_278736,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_278413]) ).

tcf(c_278737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_13)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_278413]) ).

tcf(c_278836,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_16))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_278499]) ).

tcf(c_278840,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,iPr_def_19))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_278500]) ).

tcf(c_278844,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,p(iPr_def_13)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255536]) ).

tcf(c_278845,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ~ subq(u(X0,p(iPr_def_13)),X1) ),
    inference(superposition,[status(thm)],[c_255536,c_51]) ).

tcf(c_278847,plain,
    ! [X0: $i,X1: $i] : sK0(iPr_def_14,m(X0,u(X1,p(iPr_def_13)))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255536,c_187127]) ).

tcf(c_278855,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_13,X0),iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258921]) ).

tcf(c_278856,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(m(iPr_def_12,X2),iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258921]) ).

tcf(c_278857,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_13,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_13,X1),iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(u(iPr_def_13,X1),iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258921,c_220152]) ).

tcf(c_278858,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_13,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_13,X1),iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(u(iPr_def_13,X1),iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258921,c_219246]) ).

tcf(c_278859,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_13,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_13,X1),iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(u(iPr_def_13,X1),iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258921,c_218749]) ).

tcf(c_278860,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_13,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_13,X1),iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(u(iPr_def_13,X1),iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258921,c_218515]) ).

tcf(c_278861,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_13,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_13,X1),iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(u(iPr_def_13,X1),iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258921,c_218103]) ).

tcf(c_278862,plain,
    ! [X0: $i] :
      ( ( u(u(iPr_def_13,X0),iPr_def_21) = iPr_def_21 )
      | ( sK0(s(u(u(iPr_def_13,X0),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_13,X0),iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258921,c_202915]) ).

tcf(c_278906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_10 )
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,m(p(m(iPr_def_10,X0)),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225147]) ).

tcf(c_278907,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(p(m(iPr_def_10,X0)),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225147]) ).

tcf(c_278908,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(m(iPr_def_12,X2),X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225147]) ).

tcf(c_278909,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(p(m(iPr_def_12,X2)),X3)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225147]) ).

tcf(c_278910,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_12,m(p(m(iPr_def_10,X0)),X1))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ mem(iPr_def_10,m(p(m(iPr_def_10,X0)),X1)) ),
    inference(superposition,[status(thm)],[c_225147,c_49]) ).

tcf(c_278912,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,m(p(m(iPr_def_10,X0)),X1))
      | ( m(iPr_def_10,X0) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_225147,c_190419]) ).

tcf(c_278916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(m(iPr_def_10,X1)),X2))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_225147,c_181283]) ).

tcf(c_278917,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(m(iPr_def_10,X1)),X2))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_225147,c_183073]) ).

tcf(c_278918,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(m(iPr_def_10,X1)),X2))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_225147,c_182629]) ).

tcf(c_278919,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,m(p(m(iPr_def_10,X1)),X2))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225147,c_183665]) ).

tcf(c_278960,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(u(X0,p(iPr_def_13))),p(X1)) = u(X0,p(iPr_def_13)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_278424]) ).

tcf(c_278961,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(X1,p(iPr_def_13)))
      | ~ mem(X0,u(X1,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_64,c_278424]) ).

tcf(c_278966,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_14,p(u(X0,p(iPr_def_13)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_278424]) ).

tcf(c_278967,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(u(X0,p(iPr_def_13)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_278424]) ).

tcf(c_278968,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_13)))
      | mem(iPr_def_12,m(u(X0,p(iPr_def_13)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_13)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_278424]) ).

tcf(c_278969,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_278424]) ).

tcf(c_278970,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_278424]) ).

tcf(c_278971,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_12,u(X0,u(X1,p(iPr_def_13)))),
    inference(superposition,[status(thm)],[c_254989,c_278424]) ).

tcf(c_278974,plain,
    ( mem(iPr_def_12,iPr_def_15)
    | atleast3p(u(iPr_def_21,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_232859,c_278424]) ).

tcf(c_278975,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_278424]) ).

tcf(c_278976,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_18,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_278424]) ).

tcf(c_278977,plain,
    ( mem(iPr_def_12,iPr_def_20)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_278424]) ).

tcf(c_278979,plain,
    ( mem(iPr_def_12,iPr_def_10)
    | atleast3p(u(iPr_def_13,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_278424]) ).

tcf(c_278980,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_278424]) ).

tcf(c_278981,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_278424]) ).

tcf(c_278982,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_278424]) ).

tcf(c_278983,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_13)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_278424]) ).

tcf(c_279136,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(u(X0,p(iPr_def_13))),p(X1)) = u(X0,p(iPr_def_13)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_278845]) ).

tcf(c_279137,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(X1,p(iPr_def_13)))
      | ~ mem(X0,u(X1,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_64,c_278845]) ).

tcf(c_279139,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_20,p(u(X0,p(iPr_def_13)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_278845]) ).

tcf(c_279140,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_13)))
      | ( sK0(s(u(X0,p(iPr_def_13))),p(iPr_def_21)) = u(X0,p(iPr_def_13)) )
      | ~ atleast3p(u(X0,p(iPr_def_13))) ),
    inference(superposition,[status(thm)],[c_202546,c_278845]) ).

tcf(c_279141,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_17,u(X0,p(iPr_def_13))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_278845]) ).

tcf(c_279142,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ( sK0(iPr_def_14,p(u(X0,p(iPr_def_13)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_278845]) ).

tcf(c_279143,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(u(X0,p(iPr_def_13)),X1)),
    inference(superposition,[status(thm)],[c_230853,c_278845]) ).

tcf(c_279144,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X0,p(iPr_def_13)))
      | mem(iPr_def_13,m(u(X0,p(iPr_def_13)),X1))
      | ~ atleast2p(m(u(X0,p(iPr_def_13)),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_278845]) ).

tcf(c_279145,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,p(iPr_def_13)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_278845]) ).

tcf(c_279146,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_15,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_278845]) ).

tcf(c_279147,plain,
    ! [X0: $i,X1: $i] : mem(iPr_def_13,u(X0,u(X1,p(iPr_def_13)))),
    inference(superposition,[status(thm)],[c_254989,c_278845]) ).

tcf(c_279149,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_18,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_278845]) ).

tcf(c_279152,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_18,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_278845]) ).

tcf(c_279153,plain,
    ( mem(iPr_def_13,iPr_def_20)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_278845]) ).

tcf(c_279154,plain,
    ( mem(iPr_def_13,iPr_def_16)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_278845]) ).

tcf(c_279155,plain,
    ( mem(iPr_def_13,iPr_def_10)
    | atleast3p(u(iPr_def_13,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_278845]) ).

tcf(c_279156,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_278845]) ).

tcf(c_279157,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_21,p(iPr_def_13)))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_278845]) ).

tcf(c_279159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,p(iPr_def_13)))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_278845]) ).

tcf(c_279281,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_13) = iPr_def_10 )
      | ( sK0(s(u(X0,iPr_def_13)),p(iPr_def_10)) = u(X0,iPr_def_13) ) ),
    inference(superposition,[status(thm)],[c_198897,c_258631]) ).

tcf(c_279282,plain,
    ( atleast3p(u(iPr_def_10,iPr_def_13))
    | ( u(iPr_def_10,iPr_def_13) = iPr_def_10 )
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_231138,c_258631]) ).

tcf(c_279283,plain,
    ( atleast3p(u(iPr_def_13,iPr_def_13))
    | ( u(iPr_def_13,iPr_def_13) = iPr_def_10 )
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_258631]) ).

tcf(c_279285,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_13) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_13))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_222507,c_258631]) ).

tcf(c_279342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(m(iPr_def_12,X2),iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_258648]) ).

tcf(c_279343,plain,
    ( subq(iPr_def_21,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_180980,c_258648]) ).

tcf(c_279350,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17)
      | ~ subq(iPr_def_17,u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258648,c_52]) ).

tcf(c_279351,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_17)
      | atleast3p(u(s(X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_240675]) ).

tcf(c_279352,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_17)
      | atleast3p(u(u(s(X0),X1),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_251778]) ).

tcf(c_279360,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_273373]) ).

tcf(c_279361,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_273361]) ).

tcf(c_279362,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_273347]) ).

tcf(c_279364,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_272543]) ).

tcf(c_279371,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_20,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_251178]) ).

tcf(c_279372,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_20,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_251165]) ).

tcf(c_279376,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_251146]) ).

tcf(c_279377,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_251130]) ).

tcf(c_279379,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_239411]) ).

tcf(c_279380,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_239401]) ).

tcf(c_279392,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_247598]) ).

tcf(c_279393,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_247607]) ).

tcf(c_279394,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_247616]) ).

tcf(c_279396,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_248354]) ).

tcf(c_279398,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_249366]) ).

tcf(c_279399,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_248366]) ).

tcf(c_279400,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_249420]) ).

tcf(c_279401,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_249980]) ).

tcf(c_279402,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_249724]) ).

tcf(c_279403,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_249705]) ).

tcf(c_279405,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_249428]) ).

tcf(c_279412,plain,
    ( mem(iPr_def_13,iPr_def_17)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_242522]) ).

tcf(c_279413,plain,
    ( mem(iPr_def_12,iPr_def_17)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_241745]) ).

tcf(c_279414,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_241734]) ).

tcf(c_279415,plain,
    ( mem(iPr_def_10,iPr_def_17)
    | atleast3p(u(p(iPr_def_10),iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_241712]) ).

tcf(c_279416,plain,
    ( mem(iPr_def_19,iPr_def_17)
    | atleast3p(u(p(iPr_def_19),iPr_def_21))
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_241723]) ).

tcf(c_279417,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_251822]) ).

tcf(c_279418,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_252172]) ).

tcf(c_279419,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_252240]) ).

tcf(c_279420,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_252195]) ).

tcf(c_279421,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_258648,c_252186]) ).

tcf(c_279422,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_10,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_279380,c_180980]) ).

tcf(c_279423,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_13,iPr_def_17)
    | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_279379,c_180980]) ).

tcf(c_279524,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_17)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_279377,c_180980]) ).

tcf(c_279525,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_17)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_17) ),
    inference(light_normalisation,[status(thm)],[c_279376,c_180980]) ).

tcf(c_279540,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_17 )
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_279350,c_255019]) ).

tcf(c_279727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_10,X0),iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258938]) ).

tcf(c_279728,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(m(iPr_def_12,X2),iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258938]) ).

tcf(c_279730,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_10,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_10,X1),iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(u(iPr_def_10,X1),iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258938,c_220152]) ).

tcf(c_279731,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_10,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_10,X1),iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(u(iPr_def_10,X1),iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258938,c_219246]) ).

tcf(c_279732,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_10,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_10,X1),iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(u(iPr_def_10,X1),iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258938,c_218749]) ).

tcf(c_279733,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_10,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_10,X1),iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(u(iPr_def_10,X1),iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258938,c_218515]) ).

tcf(c_279734,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_10,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_10,X1),iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(u(iPr_def_10,X1),iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258938,c_218103]) ).

tcf(c_279735,plain,
    ! [X0: $i] :
      ( ( u(u(iPr_def_10,X0),iPr_def_21) = iPr_def_21 )
      | ( sK0(s(u(u(iPr_def_10,X0),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_10,X0),iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258938,c_202915]) ).

tcf(c_279819,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(u(iPr_def_19,X0),iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258941]) ).

tcf(c_279820,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(m(iPr_def_12,X2),iPr_def_21))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_258941]) ).

tcf(c_279821,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_19,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_19,X1),iPr_def_21) )
      | ( sK0(iPr_def_12,m(X0,u(u(iPr_def_19,X1),iPr_def_21))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_258941,c_220152]) ).

tcf(c_279822,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_19,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_19,X1),iPr_def_21) )
      | ( sK0(iPr_def_20,m(X0,u(u(iPr_def_19,X1),iPr_def_21))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_258941,c_219246]) ).

tcf(c_279823,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_19,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_19,X1),iPr_def_21) )
      | ( sK0(iPr_def_17,m(X0,u(u(iPr_def_19,X1),iPr_def_21))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_258941,c_218749]) ).

tcf(c_279824,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_19,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_19,X1),iPr_def_21) )
      | ( sK0(iPr_def_16,m(X0,u(u(iPr_def_19,X1),iPr_def_21))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_258941,c_218515]) ).

tcf(c_279825,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(u(iPr_def_19,X1),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_19,X1),iPr_def_21) )
      | ( sK0(iPr_def_14,m(X0,u(u(iPr_def_19,X1),iPr_def_21))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_258941,c_218103]) ).

tcf(c_279826,plain,
    ! [X0: $i] :
      ( ( u(u(iPr_def_19,X0),iPr_def_21) = iPr_def_21 )
      | ( sK0(s(u(u(iPr_def_19,X0),iPr_def_21)),p(iPr_def_21)) = u(u(iPr_def_19,X0),iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_258941,c_202915]) ).

tcf(c_279851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(m(iPr_def_12,X3),u(X4,X0))
      | ( sK0(iPr_def_20,m(p(s(m(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254996]) ).

tcf(c_279852,plain,
    ! [X0: $i] : subq(e,u(X0,e)),
    inference(superposition,[status(thm)],[c_205214,c_254996]) ).

tcf(c_279853,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subq(X0,u(X2,iPr_def_12))
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254996]) ).

tcf(c_279854,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( subq(m(X1,X3),m(iPr_def_12,X4))
      | ( sK0(iPr_def_20,m(p(s(u(X0,X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_254996]) ).

tcf(c_279855,plain,
    ! [X0: $i] : subq(m(iPr_def_10,X0),iPr_def_10),
    inference(superposition,[status(thm)],[c_183365,c_254996]) ).

tcf(c_279859,plain,
    ! [X0: $i] : subq(m(iPr_def_21,X0),iPr_def_21),
    inference(superposition,[status(thm)],[c_180980,c_254996]) ).

tcf(c_279860,plain,
    ! [X0: $i] : subq(m(iPr_def_12,X0),iPr_def_13),
    inference(superposition,[status(thm)],[c_183363,c_254996]) ).

tcf(c_279861,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,u(X2,X0))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_254996,c_202827]) ).

tcf(c_279862,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,u(X2,X0))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_254996,c_202514]) ).

tcf(c_279863,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,u(X2,X0))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_254996,c_202427]) ).

tcf(c_279864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,u(X2,X0))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_254996,c_202290]) ).

tcf(c_279865,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,u(X2,X0))
      | ( sK0(s(m(X0,X1)),p(iPr_def_21)) = m(X0,X1) )
      | ~ atleast3p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_254996,c_202176]) ).

tcf(c_279866,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X2,X0))
      | subq(u(X2,X0),m(X0,X1))
      | ~ atleast2p(m(X0,X1)) ),
    inference(superposition,[status(thm)],[c_254996,c_65]) ).

tcf(c_279867,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X0,X1) = m(X1,X2) )
      | ~ subq(u(X0,X1),m(X1,X2)) ),
    inference(superposition,[status(thm)],[c_254996,c_52]) ).

tcf(c_279868,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_12))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_207719]) ).

tcf(c_279869,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_12))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_206660]) ).

tcf(c_279870,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_12))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_206641]) ).

tcf(c_279871,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_12))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_206622]) ).

tcf(c_279872,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_12))
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_206606]) ).

tcf(c_279873,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_16))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_245115]) ).

tcf(c_279874,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_16))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_245047]) ).

tcf(c_279875,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_16))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_244940]) ).

tcf(c_279876,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_16))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_244912]) ).

tcf(c_279877,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_16))
      | ~ atleast3p(m(iPr_def_16,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_244684]) ).

tcf(c_279878,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_18))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_242006]) ).

tcf(c_279879,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_18))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_241975]) ).

tcf(c_279880,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_18))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_241950]) ).

tcf(c_279881,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_18))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_241850]) ).

tcf(c_279882,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_18))
      | ~ atleast3p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_241818]) ).

tcf(c_279883,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,u(X1,iPr_def_18))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_226303]) ).

tcf(c_279884,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_18))
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_226128]) ).

tcf(c_279885,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_18))
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_226080]) ).

tcf(c_279886,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X1,iPr_def_18))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_226027]) ).

tcf(c_279887,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_18))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_225853]) ).

tcf(c_279888,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_18))
      | ~ atleast2p(m(iPr_def_18,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_225810]) ).

tcf(c_279889,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_15))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_244142]) ).

tcf(c_279890,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_15))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_244109]) ).

tcf(c_279891,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_15))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_244084]) ).

tcf(c_279892,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_15))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_243979]) ).

tcf(c_279893,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_15))
      | ~ atleast3p(m(iPr_def_15,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_243949]) ).

tcf(c_279894,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_21))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_205984]) ).

tcf(c_279895,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_21))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_205867]) ).

tcf(c_279896,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_21))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_205855]) ).

tcf(c_279897,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_21))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_205843]) ).

tcf(c_279898,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_21))
      | ~ atleast3p(m(iPr_def_21,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_205831]) ).

tcf(c_280120,plain,
    ! [X0: $i,X1: $i] :
      ( subq(X0,iPr_def_13)
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_279860]) ).

tcf(c_280121,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_202827]) ).

tcf(c_280122,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_202514]) ).

tcf(c_280123,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_202427]) ).

tcf(c_280124,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ( sK0(s(m(iPr_def_12,X0)),p(iPr_def_21)) = m(iPr_def_12,X0) )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_202290]) ).

tcf(c_280126,plain,
    ! [X0: $i] :
      ( atleast3p(iPr_def_13)
      | subq(iPr_def_13,m(iPr_def_12,X0))
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_65]) ).

tcf(c_280127,plain,
    ! [X0: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_13 )
      | ~ subq(iPr_def_13,m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_52]) ).

tcf(c_280128,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_207719]) ).

tcf(c_280129,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_206660]) ).

tcf(c_280130,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_206641]) ).

tcf(c_280131,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | ~ subq(iPr_def_19,p(iPr_def_21))
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_279860,c_206622]) ).

tcf(c_280176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_20,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274120]) ).

tcf(c_280184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_17,X1) = iPr_def_21 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275754]) ).

tcf(c_280194,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274163]) ).

tcf(c_280195,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_274163,c_51]) ).

tcf(c_280196,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ~ mem(iPr_def_10,X0)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274163,c_61]) ).

tcf(c_280197,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_17)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274163,c_60]) ).

tcf(c_280198,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_17,X0))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274163,c_189953]) ).

tcf(c_280199,plain,
    ( atleast2p(iPr_def_20)
    | ~ atleast2p(m(iPr_def_17,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_274163,c_221620]) ).

tcf(c_280200,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_17,iPr_def_21))
    | ~ atleast2p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274163,c_221064]) ).

tcf(c_280201,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_17,iPr_def_13))
    | ~ atleast2p(m(iPr_def_17,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_274163,c_221090]) ).

tcf(c_280202,plain,
    ( atleast2p(iPr_def_20)
    | subq(iPr_def_12,m(iPr_def_17,iPr_def_15))
    | ~ atleast2p(m(iPr_def_17,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_274163,c_221423]) ).

tcf(c_280240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,p(p(m(iPr_def_10,X0)))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225148]) ).

tcf(c_280241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(p(p(m(iPr_def_10,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225148]) ).

tcf(c_280242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(m(iPr_def_12,X2))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225148]) ).

tcf(c_280243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_16,p(p(m(iPr_def_12,X2)))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225148]) ).

tcf(c_280244,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(p(m(iPr_def_10,X0))))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ mem(iPr_def_12,p(p(m(iPr_def_10,X0)))) ),
    inference(superposition,[status(thm)],[c_225148,c_49]) ).

tcf(c_280246,plain,
    ! [X0: $i] :
      ( subq(iPr_def_16,p(p(m(iPr_def_10,X0))))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ subq(iPr_def_12,p(m(iPr_def_10,X0))) ),
    inference(superposition,[status(thm)],[c_225148,c_181012]) ).

tcf(c_280248,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,p(p(m(iPr_def_10,X0))))
      | ( m(iPr_def_10,X0) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_225148,c_187457]) ).

tcf(c_280251,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(p(m(iPr_def_10,X1))))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_225148,c_181283]) ).

tcf(c_280252,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(p(m(iPr_def_10,X1))))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225148,c_183681]) ).

tcf(c_280253,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,p(p(m(iPr_def_10,X1))))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_225148,c_182675]) ).

tcf(c_280311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_17)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_280197]) ).

tcf(c_280323,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X1))),X2)) = iPr_def_19 )
      | ~ mem(iPr_def_10,X1)
      | ~ atleast2p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_280196]) ).

tcf(c_280333,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_17 )
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_17)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_258649]) ).

tcf(c_280334,plain,
    ( atleast3p(u(iPr_def_17,iPr_def_21))
    | ( u(iPr_def_17,iPr_def_21) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_231138,c_258649]) ).

tcf(c_280335,plain,
    ( atleast3p(u(iPr_def_18,iPr_def_21))
    | ( u(iPr_def_18,iPr_def_21) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_258649]) ).

tcf(c_280336,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_21))
    | ( u(iPr_def_21,iPr_def_21) = iPr_def_17 )
    | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_258649]) ).

tcf(c_280338,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_21) = iPr_def_17 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_17) ),
    inference(superposition,[status(thm)],[c_222507,c_258649]) ).

tcf(c_280339,plain,
    ( ( u(iPr_def_15,iPr_def_21) = iPr_def_17 )
    | ~ subq(iPr_def_21,iPr_def_17) ),
    inference(superposition,[status(thm)],[c_180980,c_258649]) ).

tcf(c_280360,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_15 )
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_15)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_258668]) ).

tcf(c_280361,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_21))
    | ( u(iPr_def_15,iPr_def_21) = iPr_def_15 )
    | ~ atleast2p(iPr_def_15) ),
    inference(superposition,[status(thm)],[c_231138,c_258668]) ).

tcf(c_280362,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_21))
    | ( u(iPr_def_21,iPr_def_21) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_232859,c_258668]) ).

tcf(c_280364,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_21) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_15) ),
    inference(superposition,[status(thm)],[c_222507,c_258668]) ).

tcf(c_280368,plain,
    ( atleast3p(iPr_def_21)
    | ( iPr_def_15 = iPr_def_21 )
    | ~ atleast2p(iPr_def_15) ),
    inference(light_normalisation,[status(thm)],[c_280361,c_180980]) ).

tcf(c_280371,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_15 )
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_280364,c_231985]) ).

tcf(c_280379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_18))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255427]) ).

tcf(c_280380,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ~ subq(u(X0,iPr_def_18),X1) ),
    inference(superposition,[status(thm)],[c_255427,c_51]) ).

tcf(c_280382,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_12,m(X0,u(X1,iPr_def_18))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_255427,c_189953]) ).

tcf(c_280422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_10,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255466]) ).

tcf(c_280423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255466]) ).

tcf(c_280425,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(X0,u(iPr_def_10,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255466,c_51]) ).

tcf(c_280427,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(X1,u(iPr_def_10,X2)))) = e,
    inference(superposition,[status(thm)],[c_255466,c_185755]) ).

tcf(c_280434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_19,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255467]) ).

tcf(c_280435,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255467]) ).

tcf(c_280436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(X0,u(iPr_def_19,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255467,c_51]) ).

tcf(c_280438,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(X1,u(iPr_def_19,X2)))) = e,
    inference(superposition,[status(thm)],[c_255467,c_185755]) ).

tcf(c_280451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_19,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255468]) ).

tcf(c_280452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255468]) ).

tcf(c_280453,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(X0,u(iPr_def_19,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255468,c_51]) ).

tcf(c_280455,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(X1,u(iPr_def_19,X2)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255468,c_187219]) ).

tcf(c_280456,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X0,u(iPr_def_19,X1)))
      | subq(u(X0,u(iPr_def_19,X1)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255468,c_181263]) ).

tcf(c_280519,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_13 )
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_14,p(p(m(iPr_def_10,X0)))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225149]) ).

tcf(c_280520,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,m(iPr_def_12,X2)) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(p(m(iPr_def_10,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225149]) ).

tcf(c_280521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(m(iPr_def_12,X2))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225149]) ).

tcf(c_280522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_14,p(p(m(iPr_def_12,X2)))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225149]) ).

tcf(c_280523,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(p(m(iPr_def_10,X0))))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ mem(iPr_def_13,p(p(m(iPr_def_10,X0)))) ),
    inference(superposition,[status(thm)],[c_225149,c_49]) ).

tcf(c_280525,plain,
    ! [X0: $i] :
      ( subq(iPr_def_14,p(p(m(iPr_def_10,X0))))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ subq(iPr_def_13,p(m(iPr_def_10,X0))) ),
    inference(superposition,[status(thm)],[c_225149,c_181012]) ).

tcf(c_280528,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_14)
      | subq(iPr_def_13,iPr_def_13)
      | subq(iPr_def_14,p(p(m(iPr_def_10,X0))))
      | ( m(iPr_def_10,X0) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_225149,c_186953]) ).

tcf(c_280531,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(p(m(iPr_def_10,X1))))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_14,X0) ),
    inference(superposition,[status(thm)],[c_225149,c_181283]) ).

tcf(c_280532,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(p(m(iPr_def_10,X1))))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_225149,c_183082]) ).

tcf(c_280533,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | subq(iPr_def_14,p(p(m(iPr_def_10,X1))))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225149,c_183910]) ).

tcf(c_280635,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(s(u(X0,iPr_def_18)),p(X1)) = u(X0,iPr_def_18) ) ),
    inference(superposition,[status(thm)],[c_198897,c_280380]) ).

tcf(c_280636,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | atleast2p(u(X1,iPr_def_18))
      | mem(iPr_def_10,p(X0))
      | ~ mem(X0,u(X1,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_64,c_280380]) ).

tcf(c_280638,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,iPr_def_18))
      | ( sK0(iPr_def_20,p(u(X0,iPr_def_18))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_280380]) ).

tcf(c_280639,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_18))
      | ( sK0(s(u(X0,iPr_def_18)),p(iPr_def_21)) = u(X0,iPr_def_18) )
      | ~ atleast3p(u(X0,iPr_def_18)) ),
    inference(superposition,[status(thm)],[c_202546,c_280380]) ).

tcf(c_280640,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,iPr_def_18))
      | ( sK0(iPr_def_17,u(X0,iPr_def_18)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_280380]) ).

tcf(c_280642,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(u(X0,iPr_def_18),X1)) ),
    inference(superposition,[status(thm)],[c_230853,c_280380]) ).

tcf(c_280643,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | atleast3p(u(X0,iPr_def_18))
      | mem(iPr_def_10,m(u(X0,iPr_def_18),X1))
      | ~ atleast2p(m(u(X0,iPr_def_18),X1)) ),
    inference(superposition,[status(thm)],[c_205212,c_280380]) ).

tcf(c_280644,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X0)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_280380]) ).

tcf(c_280646,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,u(X0,u(X1,iPr_def_18))) ),
    inference(superposition,[status(thm)],[c_254989,c_280380]) ).

tcf(c_280650,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_256388,c_280380]) ).

tcf(c_280651,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_18))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_280380]) ).

tcf(c_280653,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(X0,iPr_def_18))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_257635,c_280380]) ).

tcf(c_280656,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_10)
    | atleast3p(u(iPr_def_13,iPr_def_18))
    | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_280380]) ).

tcf(c_280659,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_21,iPr_def_18))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_280380]) ).

tcf(c_280660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,iPr_def_18))),X3)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_280380]) ).

tcf(c_280970,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(X0,u(iPr_def_10,X1))),p(X2)) = u(X0,u(iPr_def_10,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_280425]) ).

tcf(c_280971,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(X1,u(iPr_def_10,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_10,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_280425]) ).

tcf(c_280977,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(X0,u(iPr_def_10,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_280425]) ).

tcf(c_280978,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_10,X1)))
      | mem(e,m(u(X0,u(iPr_def_10,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_10,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_280425]) ).

tcf(c_280979,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,u(iPr_def_10,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_280425]) ).

tcf(c_280980,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_280425]) ).

tcf(c_280981,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(X1,u(iPr_def_10,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_280425]) ).

tcf(c_280983,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_280425]) ).

tcf(c_280984,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_10,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_280425]) ).

tcf(c_280985,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_280425]) ).

tcf(c_280986,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_280425]) ).

tcf(c_280993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_10,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_280425]) ).

tcf(c_280994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_280425]) ).

tcf(c_280996,plain,
    ! [X0: $i] : atleast3p(u(iPr_def_21,u(iPr_def_10,X0))),
    inference(forward_subsumption_resolution,[status(thm)],[c_280984,c_186043]) ).

tcf(c_280997,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_280986,c_189349]) ).

tcf(c_281000,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_280985,c_188023]) ).

tcf(c_281003,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_280983,c_188033]) ).

tcf(c_281006,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,u(iPr_def_10,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_280980,c_185745]) ).

tcf(c_281049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(X0,u(iPr_def_19,X1))),p(X2)) = u(X0,u(iPr_def_19,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_280436]) ).

tcf(c_281050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(X1,u(iPr_def_19,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_19,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_280436]) ).

tcf(c_281056,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(X0,u(iPr_def_19,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_280436]) ).

tcf(c_281057,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_19,X1)))
      | mem(e,m(u(X0,u(iPr_def_19,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_19,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_280436]) ).

tcf(c_281058,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,u(iPr_def_19,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_280436]) ).

tcf(c_281059,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_280436]) ).

tcf(c_281060,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(X1,u(iPr_def_19,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_280436]) ).

tcf(c_281062,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_280436]) ).

tcf(c_281063,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_19,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_280436]) ).

tcf(c_281064,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_280436]) ).

tcf(c_281065,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_280436]) ).

tcf(c_281072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_19,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_280436]) ).

tcf(c_281073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_280436]) ).

tcf(c_281074,plain,
    ! [X0: $i] : atleast3p(u(iPr_def_21,u(iPr_def_19,X0))),
    inference(forward_subsumption_resolution,[status(thm)],[c_281063,c_186043]) ).

tcf(c_281075,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_281065,c_189349]) ).

tcf(c_281078,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_281064,c_188023]) ).

tcf(c_281081,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_281062,c_188033]) ).

tcf(c_281084,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_281059,c_185745]) ).

tcf(c_281199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(X0,u(iPr_def_19,X1))),p(X2)) = u(X0,u(iPr_def_19,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_280453]) ).

tcf(c_281200,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(X1,u(iPr_def_19,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_19,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_280453]) ).

tcf(c_281205,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_19,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_19,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_280453]) ).

tcf(c_281206,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(X0,u(iPr_def_19,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_280453]) ).

tcf(c_281207,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_19,X1)))
      | mem(iPr_def_12,m(u(X0,u(iPr_def_19,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_19,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_280453]) ).

tcf(c_281208,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,u(iPr_def_19,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_280453]) ).

tcf(c_281210,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(X1,u(iPr_def_19,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_280453]) ).

tcf(c_281218,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_19,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_280453]) ).

tcf(c_281222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_19,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_280453]) ).

tcf(c_281223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_280453]) ).

tcf(c_281522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,u(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_280996]) ).

tcf(c_281523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,m(iPr_def_12,X2)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_280996]) ).

tcf(c_281525,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_10,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_10,X1)) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,u(iPr_def_10,X1)))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_280996,c_220152]) ).

tcf(c_281526,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_10,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_10,X1)) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,u(iPr_def_10,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_280996,c_219246]) ).

tcf(c_281527,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_10,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_10,X1)) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,u(iPr_def_10,X1)))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_280996,c_218749]) ).

tcf(c_281528,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_10,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_10,X1)) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,u(iPr_def_10,X1)))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_280996,c_218515]) ).

tcf(c_281529,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_10,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_10,X1)) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,u(iPr_def_10,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_280996,c_218103]) ).

tcf(c_281530,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,u(iPr_def_10,X0)) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_21,u(iPr_def_10,X0))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_10,X0)) ) ),
    inference(superposition,[status(thm)],[c_280996,c_202915]) ).

tcf(c_281565,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,u(iPr_def_19,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_281074]) ).

tcf(c_281566,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,m(iPr_def_12,X2)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_19,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_281074]) ).

tcf(c_281567,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_19,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_19,X1)) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,u(iPr_def_19,X1)))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_281074,c_220152]) ).

tcf(c_281568,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_19,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_19,X1)) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,u(iPr_def_19,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_281074,c_219246]) ).

tcf(c_281569,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_19,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_19,X1)) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,u(iPr_def_19,X1)))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_281074,c_218749]) ).

tcf(c_281570,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_19,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_19,X1)) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,u(iPr_def_19,X1)))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_281074,c_218515]) ).

tcf(c_281571,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_19,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_19,X1)) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,u(iPr_def_19,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_281074,c_218103]) ).

tcf(c_281572,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,u(iPr_def_19,X0)) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_21,u(iPr_def_19,X0))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_19,X0)) ) ),
    inference(superposition,[status(thm)],[c_281074,c_202915]) ).

tcf(c_281633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_12,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255507]) ).

tcf(c_281634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255507]) ).

tcf(c_281636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(X0,u(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255507,c_51]) ).

tcf(c_281638,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(X1,u(iPr_def_12,X2)))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255507,c_189953]) ).

tcf(c_281646,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_14,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255508]) ).

tcf(c_281647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_14,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255508]) ).

tcf(c_281648,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(X0,u(iPr_def_14,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255508,c_51]) ).

tcf(c_281650,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(X1,u(iPr_def_14,X2)))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255508,c_187127]) ).

tcf(c_281667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X2))
      | ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274161]) ).

tcf(c_281668,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_274161,c_51]) ).

tcf(c_281669,plain,
    ! [X0: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ~ mem(iPr_def_10,X0)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274161,c_61]) ).

tcf(c_281670,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | ( iPr_def_10 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274161,c_60]) ).

tcf(c_281671,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_10 = iPr_def_19 )
      | ( sK0(iPr_def_12,m(X1,m(iPr_def_17,X0))) = iPr_def_10 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274161,c_189953]) ).

tcf(c_281672,plain,
    ( ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_274161,c_221620]) ).

tcf(c_281673,plain,
    ( subq(iPr_def_12,m(iPr_def_17,iPr_def_21))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274161,c_221064]) ).

tcf(c_281674,plain,
    ( subq(iPr_def_12,m(iPr_def_17,iPr_def_13))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_274161,c_221090]) ).

tcf(c_281675,plain,
    ( subq(iPr_def_12,m(iPr_def_17,iPr_def_15))
    | ( iPr_def_10 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_274161,c_221423]) ).

tcf(c_281869,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X2))
      | ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274162]) ).

tcf(c_281870,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_274162,c_51]) ).

tcf(c_281871,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ~ mem(iPr_def_13,X0)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274162,c_61]) ).

tcf(c_281872,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | ( iPr_def_13 = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274162,c_60]) ).

tcf(c_281873,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = iPr_def_19 )
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_17,X0))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274162,c_187127]) ).

tcf(c_281874,plain,
    ( ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_274162,c_218478]) ).

tcf(c_281875,plain,
    ( subq(iPr_def_14,m(iPr_def_17,iPr_def_15))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_274162,c_219047]) ).

tcf(c_281876,plain,
    ( subq(iPr_def_14,m(iPr_def_17,iPr_def_21))
    | ( iPr_def_13 = iPr_def_19 )
    | ~ atleast2p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274162,c_219069]) ).

tcf(c_281916,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_20,X0)),p(X1)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_275945]) ).

tcf(c_281917,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_20,X1))
      | mem(iPr_def_10,p(X0))
      | ~ atleast3p(m(iPr_def_20,X1))
      | ~ mem(X0,m(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_275945]) ).

tcf(c_281920,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(s(m(iPr_def_20,X0)),p(iPr_def_21)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_275945]) ).

tcf(c_281921,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_275945]) ).

tcf(c_281924,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_20,X0),X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_275945]) ).

tcf(c_281925,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_20,X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_275945]) ).

tcf(c_281927,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_20,X0)))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_275945]) ).

tcf(c_281928,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_20))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_275945]) ).

tcf(c_281930,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_275945]) ).

tcf(c_282003,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_20,X0)),p(X1)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_276024]) ).

tcf(c_282004,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_20,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(m(iPr_def_20,X1))
      | ~ mem(X0,m(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_276024]) ).

tcf(c_282007,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(s(m(iPr_def_20,X0)),p(iPr_def_21)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_276024]) ).

tcf(c_282008,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_276024]) ).

tcf(c_282011,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_20,X0),X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_276024]) ).

tcf(c_282012,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_20,X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_276024]) ).

tcf(c_282014,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_20,X0)))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_276024]) ).

tcf(c_282015,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_20))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_276024]) ).

tcf(c_282017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_276024]) ).

tcf(c_282052,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_10 )
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_12,p(m(iPr_def_10,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225150]) ).

tcf(c_282053,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,m(iPr_def_12,X2)) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225150]) ).

tcf(c_282054,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_12,p(m(iPr_def_12,X2))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225150]) ).

tcf(c_282055,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,p(m(iPr_def_10,X0)))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ mem(iPr_def_10,p(m(iPr_def_10,X0))) ),
    inference(superposition,[status(thm)],[c_225150,c_49]) ).

tcf(c_282057,plain,
    ! [X0: $i] :
      ( subq(iPr_def_12,p(m(iPr_def_10,X0)))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ subq(iPr_def_10,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_225150,c_181012]) ).

tcf(c_282058,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_12)
      | subq(iPr_def_10,iPr_def_10)
      | subq(iPr_def_12,p(m(iPr_def_10,X0)))
      | ( m(iPr_def_10,X0) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_225150,c_190419]) ).

tcf(c_282062,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(m(iPr_def_10,X1)))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_225150,c_181283]) ).

tcf(c_282063,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(m(iPr_def_10,X1)))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_225150,c_183073]) ).

tcf(c_282064,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(m(iPr_def_10,X1)))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_15,X0) ),
    inference(superposition,[status(thm)],[c_225150,c_182629]) ).

tcf(c_282065,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | subq(iPr_def_12,p(m(iPr_def_10,X1)))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225150,c_183665]) ).

tcf(c_282106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(X0,u(iPr_def_12,X1))),p(X2)) = u(X0,u(iPr_def_12,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_281636]) ).

tcf(c_282107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(X1,u(iPr_def_12,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_12,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_281636]) ).

tcf(c_282109,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_12,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_12,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_281636]) ).

tcf(c_282110,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_12,X1)))
      | ( sK0(s(u(X0,u(iPr_def_12,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_12,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_12,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_281636]) ).

tcf(c_282111,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_12,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_12,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_281636]) ).

tcf(c_282113,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(X0,u(iPr_def_12,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_281636]) ).

tcf(c_282114,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_12,X1)))
      | mem(iPr_def_10,m(u(X0,u(iPr_def_12,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_12,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_281636]) ).

tcf(c_282115,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,u(iPr_def_12,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_281636]) ).

tcf(c_282117,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(X1,u(iPr_def_12,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_281636]) ).

tcf(c_282119,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_281636]) ).

tcf(c_282121,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_281636]) ).

tcf(c_282122,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_281636]) ).

tcf(c_282123,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_281636]) ).

tcf(c_282124,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_281636]) ).

tcf(c_282125,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_281636]) ).

tcf(c_282126,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_281636]) ).

tcf(c_282128,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_12,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_281636]) ).

tcf(c_282129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_12,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_281636]) ).

tcf(c_282130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_12,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_281636]) ).

tcf(c_282301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(X0,u(iPr_def_14,X1))),p(X2)) = u(X0,u(iPr_def_14,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_281648]) ).

tcf(c_282302,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(X1,u(iPr_def_14,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_14,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_281648]) ).

tcf(c_282304,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_14,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_14,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_281648]) ).

tcf(c_282305,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_14,X1)))
      | ( sK0(s(u(X0,u(iPr_def_14,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_14,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_14,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_281648]) ).

tcf(c_282306,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_14,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_14,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_281648]) ).

tcf(c_282307,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_14,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_14,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_281648]) ).

tcf(c_282308,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(X0,u(iPr_def_14,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_281648]) ).

tcf(c_282309,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_14,X1)))
      | mem(iPr_def_13,m(u(X0,u(iPr_def_14,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_14,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_281648]) ).

tcf(c_282310,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,u(iPr_def_14,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_281648]) ).

tcf(c_282311,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_281648]) ).

tcf(c_282312,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(X1,u(iPr_def_14,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_281648]) ).

tcf(c_282314,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_281648]) ).

tcf(c_282317,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_281648]) ).

tcf(c_282318,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_281648]) ).

tcf(c_282319,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_281648]) ).

tcf(c_282320,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_281648]) ).

tcf(c_282321,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_281648]) ).

tcf(c_282322,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_14,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_281648]) ).

tcf(c_282324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_14,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_281648]) ).

tcf(c_282325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_14,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_281648]) ).

tcf(c_282402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(m(iPr_def_12,X2),iPr_def_12)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_258687]) ).

tcf(c_282410,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_12,u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_258687,c_52]) ).

tcf(c_282412,plain,
    ! [X0: $i,X1: $i] :
      ( atleast3p(u(X1,iPr_def_21))
      | mem(u(X1,iPr_def_21),X0)
      | ~ atleast2p(iPr_def_12)
      | ~ subq(iPr_def_19,X0) ),
    inference(superposition,[status(thm)],[c_258687,c_207878]) ).

tcf(c_282414,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | mem(u(X0,iPr_def_21),iPr_def_19)
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_180993]) ).

tcf(c_282415,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_12)
      | atleast3p(u(s(X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_240675]) ).

tcf(c_282416,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_12)
      | atleast3p(u(u(s(X0),X1),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_251778]) ).

tcf(c_282421,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_21))
    | ( u(iPr_def_15,iPr_def_21) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_231700]) ).

tcf(c_282424,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_273373]) ).

tcf(c_282425,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_273361]) ).

tcf(c_282426,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_273347]) ).

tcf(c_282427,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_272553]) ).

tcf(c_282431,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_16,iPr_def_21))
    | ~ atleast2p(iPr_def_16)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_250521]) ).

tcf(c_282433,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_17,iPr_def_21))
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_250608]) ).

tcf(c_282435,plain,
    ( mem(iPr_def_13,iPr_def_18)
    | mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(iPr_def_20,iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_251178]) ).

tcf(c_282440,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_251146]) ).

tcf(c_282441,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_251130]) ).

tcf(c_282442,plain,
    ( mem(iPr_def_16,iPr_def_12)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_250638]) ).

tcf(c_282457,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(iPr_def_14,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_247607]) ).

tcf(c_282458,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_247616]) ).

tcf(c_282459,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_248336]) ).

tcf(c_282460,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_248354]) ).

tcf(c_282461,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_248345]) ).

tcf(c_282462,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_249366]) ).

tcf(c_282464,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_249420]) ).

tcf(c_282465,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_249980]) ).

tcf(c_282466,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_249724]) ).

tcf(c_282467,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_249705]) ).

tcf(c_282468,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_249437]) ).

tcf(c_282476,plain,
    ( mem(iPr_def_13,iPr_def_12)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_242522]) ).

tcf(c_282477,plain,
    ( mem(iPr_def_12,iPr_def_12)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_241745]) ).

tcf(c_282480,plain,
    ( mem(iPr_def_19,iPr_def_12)
    | atleast3p(u(p(iPr_def_19),iPr_def_21))
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_241723]) ).

tcf(c_282482,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_252172]) ).

tcf(c_282483,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_252240]) ).

tcf(c_282484,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_258687,c_252195]) ).

tcf(c_282576,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_282442,c_180980]) ).

tcf(c_282577,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_282441,c_180980]) ).

tcf(c_282578,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_12)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_282440,c_180980]) ).

tcf(c_282591,plain,
    ( atleast3p(iPr_def_21)
    | ( iPr_def_12 = iPr_def_21 )
    | ~ atleast2p(iPr_def_12) ),
    inference(light_normalisation,[status(thm)],[c_282421,c_180980]) ).

tcf(c_282602,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_12 )
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_282410,c_255022]) ).

tcf(c_282666,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_12 )
      | ( sK0(s(u(X0,iPr_def_21)),p(iPr_def_12)) = u(X0,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_198897,c_258688]) ).

tcf(c_282667,plain,
    ( atleast3p(u(iPr_def_12,iPr_def_21))
    | ( u(iPr_def_12,iPr_def_21) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231138,c_258688]) ).

tcf(c_282669,plain,
    ( atleast3p(u(iPr_def_21,iPr_def_21))
    | ( u(iPr_def_21,iPr_def_21) = iPr_def_12 )
    | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_258688]) ).

tcf(c_282671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( u(X1,iPr_def_21) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(X1,iPr_def_21))),X2)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_222507,c_258688]) ).

tcf(c_282679,plain,
    ! [X0: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_12 )
      | ( sK0(s(u(X0,iPr_def_21)),iPr_def_19) = u(X0,iPr_def_21) ) ),
    inference(light_normalisation,[status(thm)],[c_282666,c_665]) ).

tcf(c_282682,plain,
    ! [X0: $i,X1: $i] :
      ( ( u(X0,iPr_def_21) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_282671,c_205070]) ).

tcf(c_282686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_16,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255510]) ).

tcf(c_282687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255510]) ).

tcf(c_282689,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(X0,u(iPr_def_16,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255510,c_51]) ).

tcf(c_282691,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(X1,u(iPr_def_16,X2)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255510,c_187219]) ).

tcf(c_282692,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X0,u(iPr_def_16,X1)))
      | subq(u(X0,u(iPr_def_16,X1)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255510,c_181263]) ).

tcf(c_282701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_17,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255512]) ).

tcf(c_282702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255512]) ).

tcf(c_282703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ~ subq(u(X0,u(iPr_def_17,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255512,c_51]) ).

tcf(c_282705,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_17,m(X0,u(X1,u(iPr_def_17,X2)))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_255512,c_187546]) ).

tcf(c_282712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_20,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255515]) ).

tcf(c_282713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255515]) ).

tcf(c_282714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ~ subq(u(X0,u(iPr_def_20,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255515,c_51]) ).

tcf(c_282716,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_20,m(X0,u(X1,u(iPr_def_20,X2)))) = iPr_def_19,
    inference(superposition,[status(thm)],[c_255515,c_187680]) ).

tcf(c_282753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_13,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255516]) ).

tcf(c_282754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(e,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255516]) ).

tcf(c_282755,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ~ subq(u(X0,u(iPr_def_13,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255516,c_51]) ).

tcf(c_282757,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_10,m(X0,u(X1,u(iPr_def_13,X2)))) = e,
    inference(superposition,[status(thm)],[c_255516,c_185755]) ).

tcf(c_282770,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_20,X0)),p(X1)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_276052]) ).

tcf(c_282771,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_20,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(m(iPr_def_20,X1))
      | ~ mem(X0,m(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_276052]) ).

tcf(c_282774,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(s(m(iPr_def_20,X0)),p(iPr_def_21)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_276052]) ).

tcf(c_282775,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_276052]) ).

tcf(c_282778,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_20,X0),X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_276052]) ).

tcf(c_282779,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_20,X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_276052]) ).

tcf(c_282781,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_20,X0)))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_276052]) ).

tcf(c_282782,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_20))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_276052]) ).

tcf(c_282784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_276052]) ).

tcf(c_282817,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_20,X0)),p(X1)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_276075]) ).

tcf(c_282818,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_20,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(m(iPr_def_20,X1))
      | ~ mem(X0,m(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_276075]) ).

tcf(c_282825,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_20,X0),X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_276075]) ).

tcf(c_282826,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_20,X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_276075]) ).

tcf(c_282828,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_20,X0)))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_276075]) ).

tcf(c_282829,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_20))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_276075]) ).

tcf(c_282831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_276075]) ).

tcf(c_282858,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_20,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276079]) ).

tcf(c_282859,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(s(m(iPr_def_20,X0)),p(iPr_def_21)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_276079,c_202827]) ).

tcf(c_282865,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_20,X0))
      | ( m(iPr_def_20,X0) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X0))
      | ~ subq(iPr_def_19,m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_276079,c_52]) ).

tcf(c_282867,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_276079,c_276052]) ).

tcf(c_282868,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_276079,c_276024]) ).

tcf(c_282869,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_276079,c_275945]) ).

tcf(c_282944,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_20,X0)),p(X1)) = m(iPr_def_20,X0) )
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_276121]) ).

tcf(c_282945,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_20,X1))
      | mem(iPr_def_13,p(X0))
      | ~ atleast3p(m(iPr_def_20,X1))
      | ~ mem(X0,m(iPr_def_20,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_276121]) ).

tcf(c_282949,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_276121]) ).

tcf(c_282952,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_20,X0),X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_276121]) ).

tcf(c_282953,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_20,X1))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_276121]) ).

tcf(c_282955,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_20,X0)))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_276121]) ).

tcf(c_282956,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_20))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_276121]) ).

tcf(c_282958,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_20,X0))
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(superposition,[status(thm)],[c_276079,c_276121]) ).

tcf(c_282959,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_20,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_276121]) ).

tcf(c_283140,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(s(m(iPr_def_17,X0)),p(X1)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_276844]) ).

tcf(c_283141,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_17,X1))
      | mem(iPr_def_10,p(X0))
      | ~ atleast3p(m(iPr_def_17,X1))
      | ~ mem(X0,m(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_276844]) ).

tcf(c_283144,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_276844]) ).

tcf(c_283145,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_276844]) ).

tcf(c_283148,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(m(iPr_def_17,X0),X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_276844]) ).

tcf(c_283149,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(iPr_def_17,X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_276844]) ).

tcf(c_283151,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,m(iPr_def_17,X0)))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_276844]) ).

tcf(c_283152,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,u(X1,iPr_def_17))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_276844]) ).

tcf(c_283153,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_18)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_276844]) ).

tcf(c_283155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_276844]) ).

tcf(c_283194,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(s(m(iPr_def_17,X0)),p(X1)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_276876]) ).

tcf(c_283195,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_17,X1))
      | mem(iPr_def_16,p(X0))
      | ~ atleast3p(m(iPr_def_17,X1))
      | ~ mem(X0,m(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_276876]) ).

tcf(c_283198,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_276876]) ).

tcf(c_283199,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_276876]) ).

tcf(c_283202,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(m(iPr_def_17,X0),X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_276876]) ).

tcf(c_283203,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(iPr_def_17,X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_276876]) ).

tcf(c_283205,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,m(iPr_def_17,X0)))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_276876]) ).

tcf(c_283206,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,u(X1,iPr_def_17))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_276876]) ).

tcf(c_283209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_276876]) ).

tcf(c_283240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = e )
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_10,m(iPr_def_10,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225151]) ).

tcf(c_283241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_10,X0) = iPr_def_10 )
      | ( sK0(iPr_def_10,m(iPr_def_12,X2)) = e )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_10,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225151]) ).

tcf(c_283242,plain,
    ! [X0: $i] :
      ( subq(iPr_def_10,m(iPr_def_10,X0))
      | ( m(iPr_def_10,X0) = iPr_def_10 )
      | ~ mem(e,m(iPr_def_10,X0)) ),
    inference(superposition,[status(thm)],[c_225151,c_49]) ).

tcf(c_283245,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_10,X1))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_225151,c_181283]) ).

tcf(c_283246,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | subq(iPr_def_10,m(iPr_def_10,X1))
      | ( m(iPr_def_10,X1) = iPr_def_10 )
      | ~ subq(iPr_def_13,X0) ),
    inference(superposition,[status(thm)],[c_225151,c_183900]) ).

tcf(c_283296,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(X0,u(iPr_def_16,X1))),p(X2)) = u(X0,u(iPr_def_16,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_282689]) ).

tcf(c_283297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(X1,u(iPr_def_16,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_16,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_282689]) ).

tcf(c_283302,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_16,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_16,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_282689]) ).

tcf(c_283303,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(X0,u(iPr_def_16,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_282689]) ).

tcf(c_283304,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_16,X1)))
      | mem(iPr_def_12,m(u(X0,u(iPr_def_16,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_16,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_282689]) ).

tcf(c_283305,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,u(iPr_def_16,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_282689]) ).

tcf(c_283306,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_282689]) ).

tcf(c_283307,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(X1,u(iPr_def_16,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_282689]) ).

tcf(c_283310,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_16,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_282689]) ).

tcf(c_283311,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_282689]) ).

tcf(c_283312,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_282689]) ).

tcf(c_283313,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_282689]) ).

tcf(c_283315,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_282689]) ).

tcf(c_283316,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_282689]) ).

tcf(c_283317,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_282689]) ).

tcf(c_283318,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_16,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_282689]) ).

tcf(c_283319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_16,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_282689]) ).

tcf(c_283320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_16,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_282689]) ).

tcf(c_283374,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(s(u(X0,u(iPr_def_17,X1))),p(X2)) = u(X0,u(iPr_def_17,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_282703]) ).

tcf(c_283375,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,p(X0))
      | atleast2p(u(X1,u(iPr_def_17,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_17,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_282703]) ).

tcf(c_283377,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_17,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_17,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_282703]) ).

tcf(c_283378,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_17,X1)))
      | ( sK0(s(u(X0,u(iPr_def_17,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_17,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_17,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_282703]) ).

tcf(c_283379,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_17,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_17,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_282703]) ).

tcf(c_283380,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_17,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_17,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_282703]) ).

tcf(c_283381,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(u(X0,u(iPr_def_17,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_282703]) ).

tcf(c_283382,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_17,X1)))
      | mem(iPr_def_16,m(u(X0,u(iPr_def_17,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_17,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_282703]) ).

tcf(c_283383,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(X0,u(iPr_def_17,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_282703]) ).

tcf(c_283384,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_282703]) ).

tcf(c_283385,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(X0,u(X1,u(iPr_def_17,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_282703]) ).

tcf(c_283387,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_282703]) ).

tcf(c_283388,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_17,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_282703]) ).

tcf(c_283389,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_282703]) ).

tcf(c_283391,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_282703]) ).

tcf(c_283392,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_282703]) ).

tcf(c_283393,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_282703]) ).

tcf(c_283395,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_282703]) ).

tcf(c_283396,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_17,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_282703]) ).

tcf(c_283397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_17,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_282703]) ).

tcf(c_283398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_17,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_282703]) ).

tcf(c_283531,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(s(u(X0,u(iPr_def_20,X1))),p(X2)) = u(X0,u(iPr_def_20,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_282714]) ).

tcf(c_283532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_19,p(X0))
      | atleast2p(u(X1,u(iPr_def_20,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_20,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_282714]) ).

tcf(c_283534,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_20,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_20,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_282714]) ).

tcf(c_283535,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_20,X1)))
      | ( sK0(s(u(X0,u(iPr_def_20,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_20,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_20,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_282714]) ).

tcf(c_283536,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_20,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_20,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_282714]) ).

tcf(c_283537,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_20,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_20,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_282714]) ).

tcf(c_283538,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(u(X0,u(iPr_def_20,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_282714]) ).

tcf(c_283539,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_20,X1)))
      | mem(iPr_def_19,m(u(X0,u(iPr_def_20,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_20,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_282714]) ).

tcf(c_283540,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | atleast3p(u(X0,u(iPr_def_20,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_282714]) ).

tcf(c_283541,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_282714]) ).

tcf(c_283542,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_19,u(X0,u(X1,u(iPr_def_20,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_282714]) ).

tcf(c_283544,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_282714]) ).

tcf(c_283545,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_20,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_282714]) ).

tcf(c_283546,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_282714]) ).

tcf(c_283547,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_282714]) ).

tcf(c_283549,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_282714]) ).

tcf(c_283550,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_282714]) ).

tcf(c_283551,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_282714]) ).

tcf(c_283552,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_282714]) ).

tcf(c_283553,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_20,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_282714]) ).

tcf(c_283554,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_20,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_282714]) ).

tcf(c_283555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_19,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_20,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_282714]) ).

tcf(c_283687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,X2)
      | ( sK0(s(u(X0,u(iPr_def_13,X1))),p(X2)) = u(X0,u(iPr_def_13,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_282755]) ).

tcf(c_283688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(e,p(X0))
      | atleast2p(u(X1,u(iPr_def_13,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_13,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_282755]) ).

tcf(c_283694,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(u(X0,u(iPr_def_13,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_282755]) ).

tcf(c_283695,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_13,X1)))
      | mem(e,m(u(X0,u(iPr_def_13,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_13,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_282755]) ).

tcf(c_283696,plain,
    ! [X0: $i,X1: $i] :
      ( mem(e,X0)
      | atleast3p(u(X0,u(iPr_def_13,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_282755]) ).

tcf(c_283697,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_282755]) ).

tcf(c_283698,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(e,u(X0,u(X1,u(iPr_def_13,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_282755]) ).

tcf(c_283700,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_282755]) ).

tcf(c_283701,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_13,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_282755]) ).

tcf(c_283702,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_282755]) ).

tcf(c_283703,plain,
    ! [X0: $i] :
      ( mem(e,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_282755]) ).

tcf(c_283710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_13,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_282755]) ).

tcf(c_283711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(e,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_282755]) ).

tcf(c_283712,plain,
    ! [X0: $i] : atleast3p(u(iPr_def_21,u(iPr_def_13,X0))),
    inference(forward_subsumption_resolution,[status(thm)],[c_283701,c_186043]) ).

tcf(c_283713,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_283703,c_189349]) ).

tcf(c_283716,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_283702,c_188023]) ).

tcf(c_283719,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_18,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_283700,c_188033]) ).

tcf(c_283722,plain,
    ! [X0: $i] :
      ( atleast3p(u(iPr_def_15,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_283697,c_185745]) ).

tcf(c_283916,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,u(iPr_def_13,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_283712]) ).

tcf(c_283917,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(iPr_def_21,m(iPr_def_12,X2)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_283712]) ).

tcf(c_283918,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_13,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_13,X1)) )
      | ( sK0(iPr_def_12,m(X0,u(iPr_def_21,u(iPr_def_13,X1)))) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_283712,c_220152]) ).

tcf(c_283919,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_13,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_13,X1)) )
      | ( sK0(iPr_def_20,m(X0,u(iPr_def_21,u(iPr_def_13,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_283712,c_219246]) ).

tcf(c_283920,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_13,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_13,X1)) )
      | ( sK0(iPr_def_17,m(X0,u(iPr_def_21,u(iPr_def_13,X1)))) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_283712,c_218749]) ).

tcf(c_283921,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_13,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_13,X1)) )
      | ( sK0(iPr_def_16,m(X0,u(iPr_def_21,u(iPr_def_13,X1)))) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_283712,c_218515]) ).

tcf(c_283922,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK0(s(u(iPr_def_21,u(iPr_def_13,X1))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_13,X1)) )
      | ( sK0(iPr_def_14,m(X0,u(iPr_def_21,u(iPr_def_13,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_283712,c_218103]) ).

tcf(c_283923,plain,
    ! [X0: $i] :
      ( ( u(iPr_def_21,u(iPr_def_13,X0)) = iPr_def_21 )
      | ( sK0(s(u(iPr_def_21,u(iPr_def_13,X0))),p(iPr_def_21)) = u(iPr_def_21,u(iPr_def_13,X0)) ) ),
    inference(superposition,[status(thm)],[c_283712,c_202915]) ).

tcf(c_283958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_13,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255517]) ).

tcf(c_283959,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255517]) ).

tcf(c_283960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(X0,u(iPr_def_13,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255517,c_51]) ).

tcf(c_283962,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(X1,u(iPr_def_13,X2)))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255517,c_189953]) ).

tcf(c_284034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_15,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255521]) ).

tcf(c_284035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255521]) ).

tcf(c_284037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(X0,u(iPr_def_15,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255521,c_51]) ).

tcf(c_284039,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(X1,u(iPr_def_15,X2)))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255521,c_187127]) ).

tcf(c_284046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_15,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255522]) ).

tcf(c_284047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_10,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255522]) ).

tcf(c_284049,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ~ subq(u(X0,u(iPr_def_15,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255522,c_51]) ).

tcf(c_284051,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_12,m(X0,u(X1,u(iPr_def_15,X2)))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_255522,c_189953]) ).

tcf(c_284065,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(s(m(iPr_def_17,X0)),p(X1)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_277062]) ).

tcf(c_284066,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_17,X1))
      | mem(iPr_def_19,p(X0))
      | ~ atleast3p(m(iPr_def_17,X1))
      | ~ mem(X0,m(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_277062]) ).

tcf(c_284069,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_202546,c_277062]) ).

tcf(c_284070,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_277062]) ).

tcf(c_284073,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(m(iPr_def_17,X0),X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_277062]) ).

tcf(c_284074,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(iPr_def_17,X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_277062]) ).

tcf(c_284076,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,m(iPr_def_17,X0)))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_277062]) ).

tcf(c_284077,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,u(X1,iPr_def_17))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_277062]) ).

tcf(c_284078,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_18)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_277062]) ).

tcf(c_284080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_19,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_277062]) ).

tcf(c_284119,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(s(m(iPr_def_17,X0)),p(X1)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_277087]) ).

tcf(c_284120,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_17,X1))
      | mem(iPr_def_12,p(X0))
      | ~ atleast3p(m(iPr_def_17,X1))
      | ~ mem(X0,m(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_277087]) ).

tcf(c_284127,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(m(iPr_def_17,X0),X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_277087]) ).

tcf(c_284128,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(iPr_def_17,X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_277087]) ).

tcf(c_284130,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,m(iPr_def_17,X0)))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_277087]) ).

tcf(c_284131,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,u(X1,iPr_def_17))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_277087]) ).

tcf(c_284134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_277087]) ).

tcf(c_284161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(m(iPr_def_17,X0))
      | subq(m(iPr_def_12,X2),iPr_def_19)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_277091]) ).

tcf(c_284162,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(s(m(iPr_def_17,X0)),p(iPr_def_21)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_277091,c_202827]) ).

tcf(c_284168,plain,
    ! [X0: $i] :
      ( atleast2p(m(iPr_def_17,X0))
      | ( m(iPr_def_17,X0) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X0))
      | ~ subq(iPr_def_19,m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_277091,c_52]) ).

tcf(c_284170,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_277091,c_277062]) ).

tcf(c_284171,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_277091,c_276876]) ).

tcf(c_284172,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_277091,c_276844]) ).

tcf(c_284200,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(s(m(iPr_def_17,X0)),p(X1)) = m(iPr_def_17,X0) )
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_198897,c_277229]) ).

tcf(c_284201,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(m(iPr_def_17,X1))
      | mem(iPr_def_13,p(X0))
      | ~ atleast3p(m(iPr_def_17,X1))
      | ~ mem(X0,m(iPr_def_17,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_277229]) ).

tcf(c_284205,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_185490,c_277229]) ).

tcf(c_284208,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(m(iPr_def_17,X0),X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230853,c_277229]) ).

tcf(c_284209,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(iPr_def_17,X1))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_230860,c_277229]) ).

tcf(c_284211,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,m(iPr_def_17,X0)))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254989,c_277229]) ).

tcf(c_284212,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,u(X1,iPr_def_17))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_254996,c_277229]) ).

tcf(c_284213,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_18)
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_256552,c_277229]) ).

tcf(c_284215,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(m(iPr_def_17,X0))
      | ~ atleast3p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_277091,c_277229]) ).

tcf(c_284216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X2))),X3)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_17,X2))
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_277229]) ).

tcf(c_284256,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,m(iPr_def_12,X2))
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_17,X0))),X1)) = iPr_def_19 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_274158]) ).

tcf(c_284257,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | mem(iPr_def_13,X1)
      | ~ atleast2p(m(iPr_def_17,X0))
      | ~ subq(m(iPr_def_17,X0),X1) ),
    inference(superposition,[status(thm)],[c_274158,c_51]) ).

tcf(c_284258,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ~ mem(iPr_def_13,X0)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274158,c_61]) ).

tcf(c_284259,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_13,iPr_def_17)
      | mem(iPr_def_12,iPr_def_13)
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274158,c_60]) ).

tcf(c_284260,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_20)
      | mem(iPr_def_12,iPr_def_13)
      | ( sK0(iPr_def_14,m(X1,m(iPr_def_17,X0))) = iPr_def_13 )
      | ~ atleast2p(m(iPr_def_17,X0)) ),
    inference(superposition,[status(thm)],[c_274158,c_187127]) ).

tcf(c_284261,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | ~ atleast2p(m(iPr_def_17,iPr_def_14)) ),
    inference(superposition,[status(thm)],[c_274158,c_218478]) ).

tcf(c_284262,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,m(iPr_def_17,iPr_def_15))
    | ~ atleast2p(m(iPr_def_17,iPr_def_15)) ),
    inference(superposition,[status(thm)],[c_274158,c_219047]) ).

tcf(c_284263,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_12,iPr_def_13)
    | subq(iPr_def_14,m(iPr_def_17,iPr_def_21))
    | ~ atleast2p(m(iPr_def_17,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_274158,c_219069]) ).

tcf(c_284359,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | ~ atleast3p(m(iPr_def_20,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_274215,c_97153,c_192580]) ).

tcf(c_284366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast2p(iPr_def_20)
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_284359]) ).

tcf(c_284379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_12 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_16,m(p(m(iPr_def_12,X0)),X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225152]) ).

tcf(c_284380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(iPr_def_12,X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(p(m(iPr_def_12,X0)),X1))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225152]) ).

tcf(c_284381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(m(iPr_def_12,X2),X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_12,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225152]) ).

tcf(c_284382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(p(m(iPr_def_12,X2)),X3)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225152]) ).

tcf(c_284383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( m(iPr_def_12,X3) = iPr_def_12 )
      | ( sK0(iPr_def_16,m(p(X0),X2)) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225152]) ).

tcf(c_284384,plain,
    ! [X0: $i,X1: $i] :
      ( subq(iPr_def_16,m(p(m(iPr_def_12,X0)),X1))
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ~ mem(iPr_def_12,m(p(m(iPr_def_12,X0)),X1)) ),
    inference(superposition,[status(thm)],[c_225152,c_49]) ).

tcf(c_284387,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(iPr_def_16)
      | subq(iPr_def_12,iPr_def_12)
      | subq(iPr_def_16,m(p(m(iPr_def_12,X0)),X1))
      | ( m(iPr_def_12,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_225152,c_187457]) ).

tcf(c_284390,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(m(iPr_def_12,X1)),X2))
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ~ subq(iPr_def_16,X0) ),
    inference(superposition,[status(thm)],[c_225152,c_181283]) ).

tcf(c_284391,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(m(iPr_def_12,X1)),X2))
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225152,c_183681]) ).

tcf(c_284392,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X0)
      | subq(iPr_def_16,m(p(m(iPr_def_12,X1)),X2))
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ~ subq(iPr_def_18,X0) ),
    inference(superposition,[status(thm)],[c_225152,c_182675]) ).

tcf(c_284427,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(X0,u(iPr_def_13,X1))),p(X2)) = u(X0,u(iPr_def_13,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_283960]) ).

tcf(c_284428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(X1,u(iPr_def_13,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_13,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_283960]) ).

tcf(c_284430,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_13,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_13,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_283960]) ).

tcf(c_284431,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_13,X1)))
      | ( sK0(s(u(X0,u(iPr_def_13,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_13,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_13,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_283960]) ).

tcf(c_284432,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_13,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_13,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_283960]) ).

tcf(c_284434,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(X0,u(iPr_def_13,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_283960]) ).

tcf(c_284435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_13,X1)))
      | mem(iPr_def_10,m(u(X0,u(iPr_def_13,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_13,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_283960]) ).

tcf(c_284436,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,u(iPr_def_13,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_283960]) ).

tcf(c_284438,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(X1,u(iPr_def_13,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_283960]) ).

tcf(c_284446,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_13,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_283960]) ).

tcf(c_284450,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_13,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_283960]) ).

tcf(c_284451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_13,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_283960]) ).

tcf(c_284563,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(X0,u(iPr_def_15,X1))),p(X2)) = u(X0,u(iPr_def_15,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_284037]) ).

tcf(c_284564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(X1,u(iPr_def_15,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_15,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_284037]) ).

tcf(c_284566,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_15,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_284037]) ).

tcf(c_284567,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(s(u(X0,u(iPr_def_15,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_15,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_15,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_284037]) ).

tcf(c_284568,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_15,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_284037]) ).

tcf(c_284569,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_15,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_284037]) ).

tcf(c_284570,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(X0,u(iPr_def_15,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_284037]) ).

tcf(c_284571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_15,X1)))
      | mem(iPr_def_13,m(u(X0,u(iPr_def_15,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_15,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_284037]) ).

tcf(c_284572,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,u(iPr_def_15,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_284037]) ).

tcf(c_284573,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_284037]) ).

tcf(c_284574,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(X1,u(iPr_def_15,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_284037]) ).

tcf(c_284576,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_284037]) ).

tcf(c_284579,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_284037]) ).

tcf(c_284580,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_284037]) ).

tcf(c_284581,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_284037]) ).

tcf(c_284582,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_284037]) ).

tcf(c_284583,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_284037]) ).

tcf(c_284584,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_284037]) ).

tcf(c_284586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_15,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_284037]) ).

tcf(c_284587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_284037]) ).

tcf(c_285358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(s(u(X0,u(iPr_def_15,X1))),p(X2)) = u(X0,u(iPr_def_15,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_284049]) ).

tcf(c_285359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_10,p(X0))
      | atleast2p(u(X1,u(iPr_def_15,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_15,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_284049]) ).

tcf(c_285361,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_15,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_284049]) ).

tcf(c_285362,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(s(u(X0,u(iPr_def_15,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_15,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_15,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_284049]) ).

tcf(c_285363,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_15,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_15,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_284049]) ).

tcf(c_285365,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(u(X0,u(iPr_def_15,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_284049]) ).

tcf(c_285366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_15,X1)))
      | mem(iPr_def_10,m(u(X0,u(iPr_def_15,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_15,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_284049]) ).

tcf(c_285367,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_10,X0)
      | atleast3p(u(X0,u(iPr_def_15,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_284049]) ).

tcf(c_285369,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_10,u(X0,u(X1,u(iPr_def_15,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_284049]) ).

tcf(c_285371,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_284049]) ).

tcf(c_285373,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_284049]) ).

tcf(c_285374,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_284049]) ).

tcf(c_285375,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_284049]) ).

tcf(c_285376,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_284049]) ).

tcf(c_285377,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_284049]) ).

tcf(c_285378,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_284049]) ).

tcf(c_285380,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_15,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_284049]) ).

tcf(c_285381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_15,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_284049]) ).

tcf(c_285382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_10,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_15,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_284049]) ).

tcf(c_285548,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | subq(m(iPr_def_12,X2),iPr_def_14)
      | ( sK0(iPr_def_20,m(p(s(u(X0,iPr_def_21))),X1)) = iPr_def_19 )
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_222507,c_259309]) ).

tcf(c_285556,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14)
      | ~ subq(iPr_def_14,u(X0,iPr_def_21)) ),
    inference(superposition,[status(thm)],[c_259309,c_52]) ).

tcf(c_285557,plain,
    ! [X0: $i] :
      ( mem(X0,iPr_def_14)
      | atleast3p(u(s(X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_240675]) ).

tcf(c_285558,plain,
    ! [X0: $i,X1: $i] :
      ( mem(X0,iPr_def_14)
      | atleast3p(u(u(s(X0),X1),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_251778]) ).

tcf(c_285567,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_273361]) ).

tcf(c_285568,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_273347]) ).

tcf(c_285569,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_272553]) ).

tcf(c_285570,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(X0,iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_272543]) ).

tcf(c_285573,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_16,iPr_def_21))
    | ~ atleast2p(iPr_def_16)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_250521]) ).

tcf(c_285575,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_17,iPr_def_21))
    | ~ atleast2p(iPr_def_17)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_250608]) ).

tcf(c_285578,plain,
    ( mem(iPr_def_10,iPr_def_18)
    | mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_20,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_251165]) ).

tcf(c_285582,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_251146]) ).

tcf(c_285583,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_251130]) ).

tcf(c_285584,plain,
    ( mem(iPr_def_16,iPr_def_14)
    | atleast3p(u(iPr_def_15,iPr_def_21))
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_250638]) ).

tcf(c_285587,plain,
    ( atleast2p(iPr_def_20)
    | mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(iPr_def_18,iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_243737]) ).

tcf(c_285595,plain,
    ( atleast3p(u(iPr_def_15,iPr_def_21))
    | ( u(iPr_def_15,iPr_def_21) = iPr_def_14 )
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_232237]) ).

tcf(c_285598,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(iPr_def_12,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_247598]) ).

tcf(c_285600,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(iPr_def_16,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_247616]) ).

tcf(c_285601,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(u(iPr_def_17,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_248336]) ).

tcf(c_285602,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_248354]) ).

tcf(c_285603,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(u(iPr_def_18,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_248345]) ).

tcf(c_285605,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(iPr_def_15,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_248366]) ).

tcf(c_285606,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(u(iPr_def_20,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_249420]) ).

tcf(c_285608,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_249724]) ).

tcf(c_285609,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_249705]) ).

tcf(c_285610,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_249437]) ).

tcf(c_285611,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(iPr_def_21,X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_249428]) ).

tcf(c_285619,plain,
    ( mem(iPr_def_12,iPr_def_14)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_241745]) ).

tcf(c_285620,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(p(iPr_def_13),iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_241734]) ).

tcf(c_285621,plain,
    ( mem(iPr_def_10,iPr_def_14)
    | atleast3p(u(p(iPr_def_10),iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_241712]) ).

tcf(c_285622,plain,
    ( mem(iPr_def_19,iPr_def_14)
    | atleast3p(u(p(iPr_def_19),iPr_def_21))
    | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_241723]) ).

tcf(c_285623,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_10),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_251822]) ).

tcf(c_285624,plain,
    ! [X0: $i] :
      ( mem(iPr_def_19,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_19),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_252172]) ).

tcf(c_285626,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_252195]) ).

tcf(c_285627,plain,
    ! [X0: $i] :
      ( mem(iPr_def_10,iPr_def_14)
      | atleast3p(u(u(p(iPr_def_13),X0),iPr_def_21))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_259309,c_252186]) ).

tcf(c_285725,plain,
    ( atleast3p(iPr_def_21)
    | ( iPr_def_14 = iPr_def_21 )
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_285595,c_180980]) ).

tcf(c_285726,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_16,iPr_def_14)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_285584,c_180980]) ).

tcf(c_285727,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_19,iPr_def_14)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_285583,c_180980]) ).

tcf(c_285728,plain,
    ( atleast3p(iPr_def_21)
    | mem(iPr_def_12,iPr_def_14)
    | ~ atleast3p(iPr_def_15)
    | ~ atleast2p(iPr_def_14) ),
    inference(light_normalisation,[status(thm)],[c_285582,c_180980]) ).

tcf(c_285747,plain,
    ! [X0: $i] :
      ( atleast3p(u(X0,iPr_def_21))
      | ( u(X0,iPr_def_21) = iPr_def_14 )
      | ~ atleast2p(iPr_def_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_285556,c_255023]) ).

tcf(c_285995,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_18,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255524]) ).

tcf(c_285996,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255524]) ).

tcf(c_285998,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(X0,u(iPr_def_18,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255524,c_51]) ).

tcf(c_286000,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(X1,u(iPr_def_18,X2)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255524,c_187219]) ).

tcf(c_286001,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X0,u(iPr_def_18,X1)))
      | subq(u(X0,u(iPr_def_18,X1)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255524,c_181263]) ).

tcf(c_286083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_18,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255525]) ).

tcf(c_286084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_16,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255525]) ).

tcf(c_286086,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ~ subq(u(X0,u(iPr_def_18,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255525,c_51]) ).

tcf(c_286088,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_17,m(X0,u(X1,u(iPr_def_18,X2)))) = iPr_def_16,
    inference(superposition,[status(thm)],[c_255525,c_187546]) ).

tcf(c_286095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_21,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255526]) ).

tcf(c_286096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_13,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255526]) ).

tcf(c_286097,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ~ subq(u(X0,u(iPr_def_21,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255526,c_51]) ).

tcf(c_286099,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_14,m(X0,u(X1,u(iPr_def_21,X2)))) = iPr_def_13,
    inference(superposition,[status(thm)],[c_255526,c_187127]) ).

tcf(c_286106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,m(iPr_def_12,X3))
      | ( sK0(iPr_def_20,m(p(s(u(X0,u(iPr_def_21,X1)))),X2)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255527]) ).

tcf(c_286107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(iPr_def_12,u(X2,m(iPr_def_12,X3)))
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_255527]) ).

tcf(c_286108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ~ subq(u(X0,u(iPr_def_21,X1)),X2) ),
    inference(superposition,[status(thm)],[c_255527,c_51]) ).

tcf(c_286110,plain,
    ! [X0: $i,X1: $i,X2: $i] : sK0(iPr_def_16,m(X0,u(X1,u(iPr_def_21,X2)))) = iPr_def_12,
    inference(superposition,[status(thm)],[c_255527,c_187219]) ).

tcf(c_286111,plain,
    ! [X0: $i,X1: $i] :
      ( atleast2p(u(X0,u(iPr_def_21,X1)))
      | subq(u(X0,u(iPr_def_21,X1)),iPr_def_19) ),
    inference(superposition,[status(thm)],[c_255527,c_181263]) ).

tcf(c_286198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_12,m(X3,m(iPr_def_20,X1))) = iPr_def_10 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_275948]) ).

tcf(c_286207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_17,m(X3,m(iPr_def_20,X1))) = iPr_def_16 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276027]) ).

tcf(c_286215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_20,m(X3,m(iPr_def_20,X1))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276055]) ).

tcf(c_286223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_16,m(X3,m(iPr_def_20,X1))) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276078]) ).

tcf(c_286231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sK0(iPr_def_14,m(X3,m(iPr_def_20,X1))) = iPr_def_13 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_20,X1))),X2)) = iPr_def_19 )
      | ~ atleast3p(m(iPr_def_12,X0)) ),
    inference(superposition,[status(thm)],[c_222507,c_276124]) ).

tcf(c_286239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_19 )
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(p(s(sK0(iPr_def_20,p(p(m(iPr_def_12,X0)))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225153]) ).

tcf(c_286240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,m(iPr_def_12,X2)) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(p(m(iPr_def_12,X0))))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225153]) ).

tcf(c_286241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(m(iPr_def_12,X2))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(p(m(iPr_def_12,X0)))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225153]) ).

tcf(c_286242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X0) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(p(m(iPr_def_12,X2)))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(m(iPr_def_12,X0))),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225153]) ).

tcf(c_286243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m(iPr_def_12,X2) = iPr_def_12 )
      | ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 )
      | ( sK0(iPr_def_20,m(p(s(X0)),X1)) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_222507,c_225153]) ).

tcf(c_286244,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(p(m(iPr_def_12,X0))))
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ~ mem(iPr_def_19,p(p(m(iPr_def_12,X0)))) ),
    inference(superposition,[status(thm)],[c_225153,c_49]) ).

tcf(c_286246,plain,
    ! [X0: $i] :
      ( subq(iPr_def_20,p(p(m(iPr_def_12,X0))))
      | ( m(iPr_def_12,X0) = iPr_def_12 )
      | ~ subq(iPr_def_19,p(m(iPr_def_12,X0))) ),
    inference(superposition,[status(thm)],[c_225153,c_181012]) ).

tcf(c_286247,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(p(m(iPr_def_12,X1))))
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ~ subq(iPr_def_20,X0) ),
    inference(superposition,[status(thm)],[c_225153,c_181283]) ).

tcf(c_286249,plain,
    ! [X0: $i] :
      ( atleast2p(iPr_def_20)
      | subq(iPr_def_19,iPr_def_19)
      | subq(iPr_def_20,p(p(m(iPr_def_12,X0))))
      | ( m(iPr_def_12,X0) = iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_225153,c_188300]) ).

tcf(c_286251,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_19,X0)
      | subq(iPr_def_20,p(p(m(iPr_def_12,X1))))
      | ( m(iPr_def_12,X1) = iPr_def_12 )
      | ~ subq(iPr_def_21,X0) ),
    inference(superposition,[status(thm)],[c_225153,c_183272]) ).

tcf(c_286358,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(s(u(X0,u(iPr_def_18,X1))),p(X2)) = u(X0,u(iPr_def_18,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_285998]) ).

tcf(c_286359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_12,p(X0))
      | atleast2p(u(X1,u(iPr_def_18,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_18,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_285998]) ).

tcf(c_286364,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_18,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_18,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_285998]) ).

tcf(c_286365,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(u(X0,u(iPr_def_18,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_285998]) ).

tcf(c_286366,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_18,X1)))
      | mem(iPr_def_12,m(u(X0,u(iPr_def_18,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_18,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_285998]) ).

tcf(c_286367,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_12,X0)
      | atleast3p(u(X0,u(iPr_def_18,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_285998]) ).

tcf(c_286368,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_285998]) ).

tcf(c_286369,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_12,u(X0,u(X1,u(iPr_def_18,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_285998]) ).

tcf(c_286372,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_285998]) ).

tcf(c_286373,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_285998]) ).

tcf(c_286374,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_285998]) ).

tcf(c_286375,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_285998]) ).

tcf(c_286377,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_285998]) ).

tcf(c_286378,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_285998]) ).

tcf(c_286379,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_285998]) ).

tcf(c_286380,plain,
    ! [X0: $i] :
      ( mem(iPr_def_12,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_285998]) ).

tcf(c_286381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_18,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_285998]) ).

tcf(c_286382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_12,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_285998]) ).

tcf(c_286442,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(s(u(X0,u(iPr_def_18,X1))),p(X2)) = u(X0,u(iPr_def_18,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_286086]) ).

tcf(c_286443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_16,p(X0))
      | atleast2p(u(X1,u(iPr_def_18,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_18,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_286086]) ).

tcf(c_286445,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_18,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_18,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_286086]) ).

tcf(c_286446,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_18,X1)))
      | ( sK0(s(u(X0,u(iPr_def_18,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_18,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_18,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_286086]) ).

tcf(c_286447,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_18,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_18,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_286086]) ).

tcf(c_286448,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_18,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_18,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_286086]) ).

tcf(c_286449,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(u(X0,u(iPr_def_18,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_286086]) ).

tcf(c_286450,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_18,X1)))
      | mem(iPr_def_16,m(u(X0,u(iPr_def_18,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_18,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_286086]) ).

tcf(c_286451,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_16,X0)
      | atleast3p(u(X0,u(iPr_def_18,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_286086]) ).

tcf(c_286452,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_286086]) ).

tcf(c_286453,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_16,u(X0,u(X1,u(iPr_def_18,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_286086]) ).

tcf(c_286455,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_286086]) ).

tcf(c_286456,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_15)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0))) ),
    inference(superposition,[status(thm)],[c_232859,c_286086]) ).

tcf(c_286457,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(iPr_def_15,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_232236,c_286086]) ).

tcf(c_286459,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_286086]) ).

tcf(c_286460,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_286086]) ).

tcf(c_286461,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_286086]) ).

tcf(c_286463,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_286086]) ).

tcf(c_286464,plain,
    ! [X0: $i] :
      ( mem(iPr_def_16,iPr_def_14)
      | atleast3p(u(iPr_def_21,u(iPr_def_18,X0)))
      | ~ atleast2p(iPr_def_14) ),
    inference(superposition,[status(thm)],[c_233435,c_286086]) ).

tcf(c_286465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_18,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_286086]) ).

tcf(c_286466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_16,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_18,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_286086]) ).

tcf(c_286635,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(s(u(X0,u(iPr_def_21,X1))),p(X2)) = u(X0,u(iPr_def_21,X1)) ) ),
    inference(superposition,[status(thm)],[c_198897,c_286097]) ).

tcf(c_286636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( mem(iPr_def_13,p(X0))
      | atleast2p(u(X1,u(iPr_def_21,X2)))
      | ~ mem(X0,u(X1,u(iPr_def_21,X2))) ),
    inference(superposition,[status(thm)],[c_64,c_286097]) ).

tcf(c_286638,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast3p(u(X0,u(iPr_def_21,X1)))
      | ( sK0(iPr_def_20,p(u(X0,u(iPr_def_21,X1)))) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_192265,c_286097]) ).

tcf(c_286639,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_21,X1)))
      | ( sK0(s(u(X0,u(iPr_def_21,X1))),p(iPr_def_21)) = u(X0,u(iPr_def_21,X1)) )
      | ~ atleast3p(u(X0,u(iPr_def_21,X1))) ),
    inference(superposition,[status(thm)],[c_202546,c_286097]) ).

tcf(c_286640,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_19)
      | atleast2p(u(X0,u(iPr_def_21,X1)))
      | ( sK0(iPr_def_17,u(X0,u(iPr_def_21,X1))) = iPr_def_16 )
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_185490,c_286097]) ).

tcf(c_286641,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,iPr_def_13)
      | atleast3p(u(X0,u(iPr_def_21,X1)))
      | ( sK0(iPr_def_14,p(u(X0,u(iPr_def_21,X1)))) = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_191595,c_286097]) ).

tcf(c_286642,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(u(X0,u(iPr_def_21,X1)),X2)),
    inference(superposition,[status(thm)],[c_230853,c_286097]) ).

tcf(c_286643,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atleast3p(u(X0,u(iPr_def_21,X1)))
      | mem(iPr_def_13,m(u(X0,u(iPr_def_21,X1)),X2))
      | ~ atleast2p(m(u(X0,u(iPr_def_21,X1)),X2)) ),
    inference(superposition,[status(thm)],[c_205212,c_286097]) ).

tcf(c_286644,plain,
    ! [X0: $i,X1: $i] :
      ( mem(iPr_def_13,X0)
      | atleast3p(u(X0,u(iPr_def_21,X1)))
      | ~ atleast2p(X0) ),
    inference(superposition,[status(thm)],[c_231138,c_286097]) ).

tcf(c_286645,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_15,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_231699,c_286097]) ).

tcf(c_286646,plain,
    ! [X0: $i,X1: $i,X2: $i] : mem(iPr_def_13,u(X0,u(X1,u(iPr_def_21,X2)))),
    inference(superposition,[status(thm)],[c_254989,c_286097]) ).

tcf(c_286648,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_18,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_231733,c_286097]) ).

tcf(c_286651,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_18,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232262,c_286097]) ).

tcf(c_286652,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_20)
      | atleast3p(u(iPr_def_21,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_20) ),
    inference(superposition,[status(thm)],[c_232283,c_286097]) ).

tcf(c_286653,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_16)
      | atleast3p(u(iPr_def_21,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_16) ),
    inference(superposition,[status(thm)],[c_232326,c_286097]) ).

tcf(c_286654,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_10)
      | atleast3p(u(iPr_def_13,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_232780,c_286097]) ).

tcf(c_286655,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_17)
      | atleast3p(u(iPr_def_21,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_17) ),
    inference(superposition,[status(thm)],[c_232808,c_286097]) ).

tcf(c_286656,plain,
    ! [X0: $i] :
      ( mem(iPr_def_13,iPr_def_12)
      | atleast3p(u(iPr_def_21,u(iPr_def_21,X0)))
      | ~ atleast2p(iPr_def_12) ),
    inference(superposition,[status(thm)],[c_233030,c_286097]) ).

tcf(c_286658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X1)
      | ( sK0(iPr_def_20,m(p(s(u(X2,u(iPr_def_21,X3)))),X4)) = iPr_def_19 )
      | ~ subq(m(iPr_def_12,X0),X1) ),
    inference(superposition,[status(thm)],[c_222507,c_286097]) ).

tcf(c_286659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( mem(iPr_def_13,X2)
      | ( sK0(iPr_def_20,m(p(s(u(iPr_def_21,X3))),X4)) = iPr_def_19 )
      | ~ subq(u(X0,m(iPr_def_12,X1)),X2) ),
    inference(superposition,[status(thm)],[c_222507,c_286097]) ).

tcf(c_286795,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_286641,c_286640,c_286639,c_286638,c_286635,c_286448,c_286447,c_286446,c_286445,c_286442,c_286364,c_286358,c_286251,c_286249,c_286247,c_286246,c_286244,c_286243,c_286242,c_286241,c_286240,c_286239,c_286198,c_285728,c_285727,c_285726,c_285725,c_285627,c_285626,c_285624,c_285623,c_285622,c_285621,c_285620,c_285619,c_285595,c_285584,c_285583,c_285582,c_285575,c_285573,c_285363,c_285362,c_285361,c_285358,c_284569,c_284568,c_284567,c_284566,c_284563,c_284432,c_284431,c_284430,c_284427,c_284392,c_284391,c_284390,c_284387,c_284366,c_284359,c_284263,c_284262,c_284261,c_284260,c_284259,c_284258,c_284257,c_284256,c_284205,c_284200,c_284162,c_284119,c_284070,c_284069,c_284065,c_284051,c_283962,c_283923,c_283922,c_283921,c_283920,c_283919,c_283918,c_283917,c_283916,c_283719,c_283716,c_283713,c_283712,c_283687,c_283537,c_283536,c_283535,c_283534,c_283531,c_283380,c_283379,c_283378,c_283377,c_283374,c_283302,c_283296,c_283246,c_283245,c_283241,c_283206,c_283203,c_283199,c_283198,c_283194,c_283145,c_283144,c_283140,c_282949,c_282944,c_282859,c_282817,c_282782,c_282779,c_282775,c_282774,c_282770,c_282679,c_282666,c_282591,c_282578,c_282577,c_282576,c_282484,c_282483,c_282482,c_282480,c_282477,c_282476,c_282442,c_282441,c_282440,c_282433,c_282431,c_282421,c_282402,c_282307,c_282306,c_282305,c_282304,c_282301,c_282111,c_282110,c_282109,c_282106,c_282065,c_282064,c_282063,c_282062,c_282058,c_282057,c_282055,c_282054,c_282053,c_282052,c_282008,c_282007,c_282003,c_281921,c_281920,c_281916,c_281876,c_281875,c_281874,c_281873,c_281872,c_281871,c_281870,c_281869,c_281675,c_281674,c_281673,c_281672,c_281671,c_281670,c_281669,c_281668,c_281667,c_281638,c_281572,c_281571,c_281570,c_281569,c_281568,c_281567,c_281566,c_281565,c_281530,c_281529,c_281528,c_281527,c_281526,c_281525,c_281523,c_281522,c_281205,c_281199,c_281081,c_281078,c_281075,c_281074,c_281049,c_281003,c_281000,c_280997,c_280996,c_280970,c_280640,c_280639,c_280638,c_280635,c_280533,c_280532,c_280531,c_280528,c_280525,c_280523,c_280522,c_280521,c_280520,c_280519,c_280382,c_280368,c_280361,c_280360,c_280339,c_280333,c_280323,c_280311,c_280253,c_280252,c_280251,c_280248,c_280246,c_280244,c_280243,c_280242,c_280241,c_280240,c_280202,c_280201,c_280200,c_280199,c_280198,c_280197,c_280196,c_280195,c_280194,c_280131,c_280130,c_280129,c_280128,c_280124,c_280123,c_280122,c_280121,c_279898,c_279897,c_279896,c_279895,c_279894,c_279893,c_279889,c_279888,c_279887,c_279886,c_279885,c_279884,c_279883,c_279881,c_279879,c_279874,c_279872,c_279871,c_279870,c_279869,c_279868,c_279865,c_279864,c_279863,c_279862,c_279861,c_279859,c_279855,c_279852,c_279826,c_279825,c_279824,c_279823,c_279822,c_279821,c_279820,c_279819,c_279735,c_279734,c_279733,c_279732,c_279731,c_279730,c_279728,c_279727,c_279525,c_279524,c_279423,c_279422,c_279421,c_279420,c_279419,c_279418,c_279417,c_279416,c_279415,c_279414,c_279413,c_279412,c_279380,c_279379,c_279377,c_279376,c_279343,c_279281,c_279159,c_279157,c_279156,c_279155,c_279154,c_279153,c_279152,c_279149,c_279147,c_279146,c_279145,c_279144,c_279143,c_279142,c_279141,c_279140,c_279139,c_279137,c_279136,c_278983,c_278982,c_278981,c_278980,c_278979,c_278977,c_278976,c_278975,c_278974,c_278971,c_278970,c_278969,c_278968,c_278967,c_278966,c_278961,c_278960,c_278919,c_278918,c_278917,c_278916,c_278912,c_278910,c_278909,c_278908,c_278907,c_278906,c_278862,c_278861,c_278860,c_278859,c_278858,c_278857,c_278856,c_278855,c_278847,c_278845,c_278844,c_278840,c_278836,c_278737,c_278736,c_278734,c_278733,c_278732,c_278731,c_278730,c_278729,c_278727,c_278725,c_278723,c_278722,c_278721,c_278719,c_278718,c_278717,c_278715,c_278714,c_278585,c_278579,c_278571,c_278562,c_278537,c_278535,c_278533,c_278502,c_278501,c_278500,c_278499,c_278497,c_278496,c_278495,c_278494,c_278493,c_278427,c_278426,c_278424,c_278423,c_278415,c_278413,c_278412,c_278349,c_278348,c_278347,c_278346,c_278345,c_278344,c_278343,c_278125,c_278122,c_278119,c_278118,c_278094,c_277914,c_277913,c_277912,c_277911,c_277910,c_277909,c_277907,c_277906,c_277905,c_277904,c_277902,c_277901,c_277900,c_277899,c_277898,c_277897,c_277896,c_277895,c_277894,c_277892,c_277891,c_277828,c_277827,c_277825,c_277824,c_277823,c_277822,c_277821,c_277820,c_277818,c_277816,c_277814,c_277813,c_277812,c_277810,c_277809,c_277808,c_277806,c_277805,c_277709,c_277708,c_277707,c_277706,c_277703,c_277675,c_277673,c_277671,c_277639,c_277638,c_277637,c_277636,c_277630,c_277618,c_277610,c_277604,c_277457,c_277455,c_277454,c_277446,c_277444,c_277443,c_277305,c_277302,c_277301,c_277299,c_277298,c_277288,c_277287,c_277050,c_276915,c_276913,c_276912,c_276902,c_276901,c_276851,c_276850,c_276849,c_276848,c_276847,c_276802,c_276801,c_276800,c_276794,c_276793,c_276792,c_276791,c_276790,c_276749,c_276748,c_276747,c_276746,c_276745,c_276744,c_276743,c_276499,c_276498,c_276497,c_276496,c_276438,c_276437,c_276376,c_276375,c_276335,c_276252,c_276250,c_276249,c_276239,c_276238,c_276194,c_276193,c_276192,c_276191,c_275952,c_275951,c_275950,c_275949,c_275948,c_275903,c_275902,c_275901,c_275895,c_275894,c_275893,c_275892,c_275891,c_275773,c_275769,c_275765,c_275761,c_275757,c_275715,c_275714,c_275713,c_275712,c_275711,c_275692,c_275691,c_275690,c_275689,c_275688,c_275687,c_275686,c_275637,c_275636,c_275635,c_275634,c_275633,c_275632,c_275631,c_275562,c_275561,c_275560,c_275559,c_275558,c_275557,c_275082,c_275081,c_275080,c_275079,c_275078,c_275077,c_275076,c_275075,c_275074,c_275073,c_275031,c_275029,c_274986,c_274980,c_274855,c_274854,c_274759,c_274758,c_274757,c_274755,c_274754,c_274753,c_274752,c_274751,c_274750,c_274748,c_274716,c_274715,c_274714,c_274713,c_274678,c_274603,c_274600,c_274597,c_274572,c_274546,c_274544,c_274543,c_274533,c_274532,c_274432,c_274431,c_274430,c_274429,c_274428,c_274427,c_274426,c_274390,c_274389,c_274388,c_274387,c_274302,c_274301,c_274252,c_274251,c_274216,c_274215,c_274214,c_274213,c_274185,c_274165,c_274163,c_274162,c_274161,c_274160,c_274159,c_274158,c_274157,c_274150,c_274139,c_274135,c_274131,c_274127,c_274123,c_274081,c_274080,c_274079,c_274078,c_274077,c_273971,c_273967,c_273966,c_273965,c_273963,c_273945,c_273942,c_273938,c_273936,c_273934,c_273838,c_273837,c_273836,c_273833,c_273712,c_273677,c_273673,c_273672,c_273671,c_273670,c_273667,c_273643,c_273642,c_273613,c_273608,c_273604,c_273598,c_273560,c_273556,c_273527,c_273522,c_273518,c_273517,c_273516,c_273515,c_273512,c_273486,c_273484,c_273483,c_273473,c_273472,c_273462,c_273270,c_273266,c_273240,c_273235,c_273231,c_273230,c_273229,c_273228,c_273225,c_273174,c_273147,c_273137,c_273136,c_273135,c_273132,c_273008,c_273005,c_272998,c_272997,c_272996,c_272995,c_272992,c_272847,c_272846,c_272845,c_272844,c_272841,c_272600,c_272598,c_272597,c_272596,c_272586,c_272585,c_272574,c_272564,c_272545,c_272400,c_272399,c_272398,c_272395,c_272265,c_272259,c_272127,c_272126,c_272125,c_272124,c_272121,c_271941,c_271940,c_271939,c_271938,c_271935,c_271908,c_271906,c_271905,c_271895,c_271894,c_271830,c_271827,c_271824,c_271802,c_271801,c_271800,c_271799,c_271796,c_271794,c_271792,c_271785,c_271782,c_271748,c_271718,c_271717,c_271716,c_271715,c_271710,c_271708,c_271701,c_271618,c_271612,c_271590,c_271589,c_271588,c_271587,c_271584,c_271582,c_271580,c_271573,c_271560,c_271378,c_271373,c_271159,c_271158,c_271078,c_271077,c_271058,c_271057,c_271056,c_271054,c_271052,c_271051,c_271050,c_271049,c_271021,c_271020,c_271018,c_271017,c_271016,c_271014,c_271008,c_271007,c_271006,c_271005,c_271004,c_271003,c_270986,c_270916,c_270910,c_270830,c_270829,c_270828,c_270827,c_270824,c_270552,c_270550,c_270540,c_270539,c_270529,c_270528,c_270481,c_270480,c_270377,c_270376,c_270375,c_270374,c_270373,c_270372,c_270354,c_270353,c_270352,c_270351,c_270350,c_270349,c_270143,c_270142,c_270141,c_270138,c_270060,c_270057,c_270054,c_270028,c_269985,c_269982,c_269979,c_269954,c_269811,c_269810,c_269809,c_269806,c_269795,c_269789,c_265115,c_265110,c_264777,c_264773,c_264765,c_264745,c_264741,c_264694,c_264690,c_262395,c_262376,c_262373,c_262370,c_261648,c_261646,c_261644,c_261634,c_261633,c_261624,c_261622,c_261617,c_261615,c_261614,c_261613,c_261612,c_261611,c_261610,c_261609,c_261608,c_261607,c_261600,c_261599,c_261598,c_261597,c_261596,c_261595,c_261594,c_261593,c_261592,c_261591,c_261590,c_261589,c_261588,c_261587,c_261583,c_261582,c_261580,c_261579,c_261578,c_261576,c_261575,c_261574,c_261550,c_261547,c_261546,c_261545,c_261544,c_261543,c_261535,c_261534,c_261533,c_261532,c_261531,c_261530,c_261529,c_261528,c_261527,c_261526,c_261525,c_261523,c_261518,c_261514,c_261513,c_261512,c_261508,c_261507,c_261503,c_261502,c_261492,c_261491,c_261490,c_261489,c_261488,c_261483,c_261482,c_261481,c_261480,c_261479,c_261478,c_261477,c_261476,c_261474,c_261469,c_261455,c_261454,c_261453,c_261452,c_261451,c_261447,c_261446,c_261445,c_261441,c_261437,c_261436,c_261435,c_261434,c_261433,c_261432,c_261423,c_261421,c_261418,c_261416,c_261412,c_261410,c_261409,c_261408,c_261406,c_261404,c_261403,c_261402,c_261401,c_261400,c_261399,c_261398,c_261397,c_261396,c_261395,c_261394,c_261393,c_261392,c_261391,c_261390,c_261389,c_261387,c_261386,c_261385,c_261384,c_261383,c_261382,c_261381,c_261380,c_261379,c_261378,c_261377,c_261376,c_261375,c_261374,c_261373,c_261372,c_261371,c_261370,c_261369,c_261368,c_261367,c_261366,c_261365,c_261362,c_261360,c_261358,c_261347,c_261346,c_261345,c_261344,c_261334,c_261333,c_261332,c_261331,c_261330,c_261329,c_261328,c_261327,c_261326,c_261325,c_261324,c_261323,c_261322,c_261318,c_261312,c_261311,c_261310,c_261309,c_261308,c_261307,c_261306,c_261305,c_261304,c_261297,c_261296,c_261295,c_261294,c_261293,c_261292,c_261291,c_261289,c_261288,c_261287,c_261286,c_261285,c_261284,c_261258,c_261257,c_261256,c_261255,c_261254,c_261247,c_261244,c_261243,c_261242,c_261234,c_261233,c_261232,c_261231,c_261226,c_261225,c_261222,c_261221,c_261220,c_261219,c_261218,c_261217,c_261216,c_261211,c_261210,c_261207,c_261206,c_261204,c_261203,c_261192,c_261191,c_261173,c_261172,c_261171,c_26117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610,c_192603,c_192602,c_192600,c_192290,c_192287,c_255396,c_231144,c_192021,c_192014,c_255397,c_231145,c_191514,c_191494,c_191493,c_191488,c_255439,c_231186,c_255420,c_231168,c_186267,c_189811,c_184450,c_190449,c_190443,c_190438,c_190434,c_190419,c_190337,c_190313,c_190312,c_190311,c_189809,c_189806,c_189794,c_182803,c_255414,c_231162,c_255411,c_231159,c_186633,c_186632,c_186631,c_186630,c_186629,c_185435,c_255398,c_231146,c_257420,c_232146,c_183651,c_183649,c_188368,c_255004,c_230868,c_255003,c_230867,c_255002,c_230866,c_206944,c_205095,c_206941,c_205092,c_206935,c_205086,c_206951,c_205102,c_255001,c_230865,c_206932,c_205083,c_206949,c_205100,c_206947,c_205098,c_255394,c_255393,c_255391,c_255390,c_255058,c_255070,c_255067,c_255064,c_255027,c_255026,c_255025,c_255000,c_254999,c_254998,c_254997,c_254996,c_254995,c_254994,c_254993,c_254992,c_254989,c_231700,c_231699,c_230863,c_206950,c_205101,c_182240,c_182239,c_231142,c_231141,c_231139,c_231138,c_230862,c_230861,c_205212,c_230858,c_206923,c_205074,c_205213,c_230934,c_230931,c_230928,c_230891,c_230890,c_230889,c_230864,c_230860,c_230859,c_230857,c_230856,c_230853,c_206938,c_205089,c_206933,c_205084,c_205266,c_206927,c_205078,c_205265,c_207878,c_207873,c_206929,c_206926,c_206925,c_206924,c_206922,c_206921,c_206920,c_205071,c_205075,c_205216,c_205080,c_205077,c_205076,c_205073,c_205072,c_205070,c_188301,c_188300,c_187975,c_187974,c_187973,c_187919,c_187918,c_186421,c_186420,c_186419,c_186418,c_186376,c_186375,c_186374,c_186373,c_187496,c_187495,c_187494,c_187458,c_187457,c_187057,c_187056,c_187055,c_186960,c_186959,c_186958,c_186954,c_186953,c_186919,c_186900,c_186899,c_186898,c_189619,c_186560,c_186507,c_186504,c_186501,c_186495,c_186494,c_186222,c_186217,c_186216,c_186346,c_186345,c_186344,c_186343,c_186326,c_186325,c_186324,c_186307,c_186306,c_186305,c_186069,c_186066,c_186065,c_186061,c_186057,c_186056,c_185449,c_185397,c_185320,c_185319,c_185318,c_185315,c_185363,c_185362,c_185361,c_185360,c_185359,c_185358,c_185357,c_185356,c_185355,c_184436,c_184434,c_183685,c_185346,c_185294,c_185293,c_185291,c_185288,c_185239,c_185238,c_185237,c_185234,c_185047,c_185046,c_185045,c_185042,c_186884,c_186878,c_186877,c_186876,c_186875,c_186874,c_186873,c_186872,c_273034,c_186443,c_186034,c_186030,c_186027,c_186023,c_186022,c_186021,c_186020,c_186019,c_186018,c_186017,c_184416,c_184415,c_184414,c_184166,c_273038,c_185688,c_185684,c_185680,c_185677,c_185674,c_185673,c_185672,c_185671,c_185670,c_185669,c_185668,c_183334,c_183639,c_185213,c_185209,c_185205,c_185201,c_185199,c_185197,c_185196,c_185195,c_185194,c_185193,c_184150,c_245642,c_184132,c_184131,c_184965,c_184961,c_184957,c_184953,c_184949,c_184945,c_184943,c_184942,c_184941,c_184940,c_184939,c_184938,c_184937,c_183900,c_183885,c_183877,c_183876,c_184340,c_184336,c_184332,c_184328,c_184324,c_184321,c_184320,c_184317,c_184316,c_184315,c_184314,c_184313,c_184312,c_184311,c_184310,c_184309,c_184308,c_184307,c_184306,c_183747,c_232747,c_183681,c_183680,c_184048,c_184044,c_184040,c_184036,c_184032,c_184031,c_184030,c_184029,c_184028,c_184027,c_184026,c_184025,c_184024,c_183630,c_183623,c_183618,c_183617,c_183563,c_183857,c_183855,c_183854,c_183547,c_183534,c_183528,c_183526,c_183524,c_183335,c_183336,c_183366,c_183364,c_183365,c_183363,c_183362,c_183361,c_183360,c_183350,c_183347,c_183340,c_183332,c_183341,c_183531,c_183327,c_183322,c_183320,c_183297,c_183296,c_183295,c_183294,c_181810,c_181785,c_181784,c_181783,c_183277,c_257032,c_182565,c_182563,c_183272,c_183271,c_183111,c_183110,c_183104,c_183103,c_183102,c_183090,c_183089,c_183082,c_183081,c_183057,c_183056,c_183073,c_183048,c_182860,c_182858,c_8652,c_182504,c_182725,c_182517,c_182362,c_182657,c_182420,c_182294,c_182573,c_182392,c_182896,c_182895,c_182887,c_182886,c_182885,c_182884,c_182843,c_182842,c_182838,c_182837,c_182826,c_182825,c_182676,c_182675,c_182674,c_182646,c_182645,c_182629,c_182628,c_182061,c_182060,c_182620,c_182019,c_182599,c_182598,c_182596,c_182595,c_182390,c_182571,c_182381,c_182371,c_182349,c_182334,c_182308,c_182159,c_181042,c_182292,c_182150,c_182140,c_182126,c_182116,c_182106,c_182097,c_181859,c_182053,c_182279,c_182276,c_182273,c_182270,c_182267,c_182264,c_182263,c_182262,c_182261,c_182260,c_182259,c_181830,c_181821,c_181808,c_181606,c_181604,c_181603,c_181103,c_181561,c_182052,c_181560,c_181559,c_181558,c_181557,c_181556,c_181555,c_181554,c_181840,c_181801,c_181800,c_181843,c_181836,c_181835,c_181669,c_181668,c_181650,c_181644,c_181643,c_181647,c_181636,c_181635,c_181444,c_181441,c_181440,c_181584,c_181583,c_181416,c_181402,c_181401,c_181400,c_181399,c_181398,c_181395,c_181422,c_181297,c_181296,c_181295,c_181294,c_181293,c_181292,c_181291,c_181290,c_181289,c_181288,c_181287,c_181286,c_181285,c_181284,c_181283,c_181264,c_181357,c_181263,c_181254,c_181253,c_181252,c_181430,c_181429,c_181245,c_181244,c_181205,c_181204,c_181197,c_181196,c_181187,c_181180,c_181173,c_181154,c_181152,c_181151,c_181150,c_181149,c_181148,c_181131,c_181129,c_181128,c_181127,c_181126,c_181115,c_181112,c_182050,c_181359,c_181111,c_181095,c_181087,c_181079,c_181071,c_181063,c_181056,c_181055,c_181054,c_181049,c_181048,c_181026,c_181025,c_181024,c_181023,c_181022,c_181021,c_181019,c_181012,c_181011,c_181002,c_181000,c_180993,c_181358,c_205272,c_180985,c_180979,c_180978,c_180977,c_180976,c_180975,c_180974,c_669,c_668,c_667,c_666,c_665,c_664,c_663,c_662,c_661,c_660,c_659,c_658,c_657,c_656,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV536+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n009.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Thu Sep 24 14:58:28 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.41  
% 0.08/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41  
% 0.08/0.41  % Detected problem language: tptp
% 0.08/0.43  % Proving...
% 157.39/22.48  % SZS status Started for theBenchmark.p
% 157.39/22.48  % SZS status Theorem for theBenchmark.p
% 157.39/22.48  
% 157.39/22.48  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 157.39/22.48  
% 157.39/22.48  % ------  iProver source info
% 157.39/22.48  
% 157.39/22.48  % git: date: 2026-07-19 20:42:38 +0200
% 157.39/22.48  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 157.39/22.48  % git: non_committed_changes: false
% 157.39/22.48  
% 157.39/22.48  % ------ Parsing...
% 157.39/22.48  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 157.39/22.48  
% 157.39/22.48  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 157.39/22.48  
% 157.39/22.48  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 157.39/22.48  
% 157.39/22.48  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 157.39/22.48  % ------ Proving...
% 157.39/22.48  % ------ Problem Properties 
% 157.39/22.48  
% 157.39/22.48  % 
% 157.39/22.48  % clauses                               31
% 157.39/22.48  % conjectures                           0
% 157.39/22.48  % EPR                                   5
% 157.39/22.48  % Horn                                  26
% 157.39/22.48  % unary                                 15
% 157.39/22.48  % binary                                9
% 157.39/22.48  % lits                                  55
% 157.39/22.48  % lits eq                               15
% 157.39/22.48  % fd_pure                               0
% 157.39/22.48  % fd_pseudo                             0
% 157.39/22.48  % fd_cond                               0
% 157.39/22.48  % fd_pseudo_cond                        2
% 157.39/22.48  % AC symbols                            0
% 157.39/22.48  
% 157.39/22.48  % ------ Schedule dynamic 5 is on 
% 157.39/22.48  
% 157.39/22.48  % ------ no conjectures: strip conj schedule 
% 157.39/22.48  
% 157.39/22.48  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 157.39/22.48  
% 157.39/22.48  
% 157.39/22.48  % ------ 
% 157.39/22.48  % Current options:
% 157.39/22.48  % ------ 
% 157.39/22.48  
% 157.39/22.48  
% 157.39/22.48  % 
% 157.39/22.48  
% 157.39/22.48  % ------ Proving...
% 157.39/22.48  % Proof_search_loop: time out after: 7954 full_loop iterations
% 157.39/22.48  
% 157.39/22.48  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 157.39/22.48  
% 157.39/22.48  
% 157.39/22.48  % ------ 
% 157.39/22.48  % Current options:
% 157.39/22.48  % ------ 
% 157.39/22.48  
% 157.39/22.48  
% 157.39/22.48  % 
% 157.39/22.48  
% 157.39/22.48  % ------ Proving...
% 157.39/22.48  % 
% 157.39/22.48  
% 157.39/22.48  % SZS status Theorem for theBenchmark.p
% 157.39/22.48  
% 157.39/22.48  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 158.05/22.83  
% 158.05/22.83  
%------------------------------------------------------------------------------