%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV571+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 : n015.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 03:02:43 PM UTC 2026
% Result : Theorem 31.83s 10.35s
% Output : CNFRefutation 31.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 30
% Syntax : Number of formulae : 8681 ( 375 unt; 19 def)
% Number of atoms : 76231 (5733 equ)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 25362 (6339 ~;18997 |; 17 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 11145 ( 0 sgn11143 !; 2 ?;11051 :)
% 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(f26,conjecture,
~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_2508_2504) ).
fof(f27,negated_conjecture,
~ ~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f30]) ).
fof(f32,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,[],[f29]) ).
fof(f33,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,[],[f32]) ).
fof(f34,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))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ mem(X0,s(X1))
| X0 = X1 )
& ( X0 != X1
| mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f38,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(f39,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,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ mem(X0,p(X1))
| subq(X0,X1) )
& ( ~ subq(X0,X1)
| mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f45,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] :
( X0 != X1
| mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ mem(X0,X2)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ mem(X0,X1)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| mem(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f53,plain,
! [X2,X0,X1] :
( mem(X0,X2)
| ~ mem(X0,X1)
| mem(X0,m(X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f55,f54]) ).
fof(f60,plain,
subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f59,f59,f59,f59,f59,f54,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59]) ).
fof(f61,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ~ mem(X2,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_53,plain,
! [X0: $i] : ~ mem(X0,e),
inference(cnf_transformation,[],[f45]) ).
tcf(c_54,plain,
! [X0: $i] : mem(X0,s(X0)),
inference(cnf_transformation,[],[f61]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,m(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X1)
| ~ mem(X0,m(X1,X2)) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ mem(X0,X2)
| ~ mem(X0,m(X1,X2)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_64,negated_conjecture,
subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(cnf_transformation,[],[f60]) ).
tcf(c_65,plain,
mem(e,s(e)),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_66,plain,
~ mem(e,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_71,plain,
( ( e = e )
| ~ mem(e,s(e)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_263,definition,
iPr_def_10 = s(e),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_264,definition,
iPr_def_11 = u(e,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_265,definition,
iPr_def_12 = s(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_266,definition,
iPr_def_13 = s(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_267,definition,
iPr_def_14 = u(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_268,definition,
iPr_def_15 = u(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_269,definition,
iPr_def_16 = s(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_270,definition,
iPr_def_17 = s(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_271,definition,
iPr_def_18 = u(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_272,definition,
iPr_def_19 = s(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_273,definition,
iPr_def_20 = s(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_274,definition,
iPr_def_21 = u(iPr_def_19,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_275,definition,
iPr_def_22 = u(iPr_def_17,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_276,definition,
iPr_def_23 = u(iPr_def_16,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_277,definition,
iPr_def_24 = u(iPr_def_18,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_278,definition,
iPr_def_25 = s(iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_279,definition,
iPr_def_26 = u(iPr_def_13,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_280,definition,
iPr_def_27 = u(iPr_def_23,iPr_def_26),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_281,definition,
iPr_def_28 = u(iPr_def_23,iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_282,negated_conjecture,
subq(iPr_def_27,iPr_def_28),
inference(demodulation,[status(thm)],[c_64,c_281,c_277,c_278,c_279,c_273,c_271,c_272,c_274,c_270,c_275,c_266,c_265,c_267,c_263,c_264,c_268,c_269,c_276,c_280]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X2)
| ~ mem(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_753,plain,
mem(e,iPr_def_10),
inference(superposition,[status(thm)],[c_263,c_54]) ).
tcf(c_754,plain,
mem(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_265,c_54]) ).
tcf(c_755,plain,
mem(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_266,c_54]) ).
tcf(c_756,plain,
mem(iPr_def_15,iPr_def_16),
inference(superposition,[status(thm)],[c_269,c_54]) ).
tcf(c_757,plain,
mem(iPr_def_14,iPr_def_17),
inference(superposition,[status(thm)],[c_270,c_54]) ).
tcf(c_758,plain,
mem(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_272,c_54]) ).
tcf(c_759,plain,
mem(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_273,c_54]) ).
tcf(c_760,plain,
mem(iPr_def_24,iPr_def_25),
inference(superposition,[status(thm)],[c_278,c_54]) ).
tcf(c_763,plain,
! [X0: $i] : subq(e,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_773,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_782,plain,
! [X0: $i] : subq(X0,X0),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_783,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_791,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_793,plain,
! [X0: $i] :
( ( X0 = e )
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_263,c_55]) ).
tcf(c_794,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_265,c_55]) ).
tcf(c_795,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ mem(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_266,c_55]) ).
tcf(c_796,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ~ mem(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_269,c_55]) ).
tcf(c_797,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ mem(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_270,c_55]) ).
tcf(c_798,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ~ mem(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_272,c_55]) ).
tcf(c_799,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ~ mem(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_273,c_55]) ).
tcf(c_800,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ~ mem(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_278,c_55]) ).
tcf(c_819,plain,
( ( e = iPr_def_24 )
| ~ mem(e,iPr_def_25) ),
inference(instantiation,[status(thm)],[c_800]) ).
tcf(c_820,plain,
( ( e = iPr_def_19 )
| ~ mem(e,iPr_def_20) ),
inference(instantiation,[status(thm)],[c_799]) ).
tcf(c_821,plain,
( ( e = iPr_def_18 )
| ~ mem(e,iPr_def_19) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_822,plain,
( ( e = iPr_def_14 )
| ~ mem(e,iPr_def_17) ),
inference(instantiation,[status(thm)],[c_797]) ).
tcf(c_823,plain,
( ( e = iPr_def_15 )
| ~ mem(e,iPr_def_16) ),
inference(instantiation,[status(thm)],[c_796]) ).
tcf(c_824,plain,
( ( e = iPr_def_12 )
| ~ mem(e,iPr_def_13) ),
inference(instantiation,[status(thm)],[c_795]) ).
tcf(c_831,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(superposition,[status(thm)],[c_50,c_793]) ).
tcf(c_835,plain,
( subq(iPr_def_10,e)
| ( sK0(iPr_def_10,e) = e ) ),
inference(instantiation,[status(thm)],[c_831]) ).
tcf(c_840,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_50,c_794]) ).
tcf(c_849,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_50,c_795]) ).
tcf(c_858,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50,c_796]) ).
tcf(c_867,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50,c_797]) ).
tcf(c_881,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_267,c_56]) ).
tcf(c_882,plain,
! [X0: $i] :
( mem(X0,iPr_def_15)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_268,c_56]) ).
tcf(c_883,plain,
! [X0: $i] :
( mem(X0,iPr_def_18)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_271,c_56]) ).
tcf(c_884,plain,
! [X0: $i] :
( mem(X0,iPr_def_21)
| ~ mem(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_274,c_56]) ).
tcf(c_885,plain,
! [X0: $i] :
( mem(X0,iPr_def_22)
| ~ mem(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_275,c_56]) ).
tcf(c_886,plain,
! [X0: $i] :
( mem(X0,iPr_def_23)
| ~ mem(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_276,c_56]) ).
tcf(c_887,plain,
! [X0: $i] :
( mem(X0,iPr_def_24)
| ~ mem(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_277,c_56]) ).
tcf(c_888,plain,
! [X0: $i] :
( mem(X0,iPr_def_26)
| ~ mem(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_279,c_56]) ).
tcf(c_889,plain,
! [X0: $i] :
( mem(X0,iPr_def_27)
| ~ mem(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_280,c_56]) ).
tcf(c_890,plain,
! [X0: $i] :
( mem(X0,iPr_def_28)
| ~ mem(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_281,c_56]) ).
tcf(c_891,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_933,plain,
! [X0: $i] :
( mem(X0,iPr_def_11)
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_264,c_57]) ).
tcf(c_934,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ mem(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_267,c_57]) ).
tcf(c_935,plain,
! [X0: $i] :
( mem(X0,iPr_def_15)
| ~ mem(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_268,c_57]) ).
tcf(c_936,plain,
! [X0: $i] :
( mem(X0,iPr_def_18)
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_271,c_57]) ).
tcf(c_937,plain,
! [X0: $i] :
( mem(X0,iPr_def_21)
| ~ mem(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_274,c_57]) ).
tcf(c_938,plain,
! [X0: $i] :
( mem(X0,iPr_def_22)
| ~ mem(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_275,c_57]) ).
tcf(c_939,plain,
! [X0: $i] :
( mem(X0,iPr_def_23)
| ~ mem(X0,iPr_def_22) ),
inference(superposition,[status(thm)],[c_276,c_57]) ).
tcf(c_940,plain,
! [X0: $i] :
( mem(X0,iPr_def_24)
| ~ mem(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_277,c_57]) ).
tcf(c_941,plain,
! [X0: $i] :
( mem(X0,iPr_def_26)
| ~ mem(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_279,c_57]) ).
tcf(c_942,plain,
! [X0: $i] :
( mem(X0,iPr_def_27)
| ~ mem(X0,iPr_def_26) ),
inference(superposition,[status(thm)],[c_280,c_57]) ).
tcf(c_943,plain,
! [X0: $i] :
( mem(X0,iPr_def_28)
| ~ mem(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_281,c_57]) ).
tcf(c_944,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_1000,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_1008,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_1020,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_50,c_881]) ).
tcf(c_1021,plain,
mem(iPr_def_11,iPr_def_14),
inference(superposition,[status(thm)],[c_754,c_881]) ).
tcf(c_1029,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_50,c_882]) ).
tcf(c_1050,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_50,c_883]) ).
tcf(c_1058,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_50,c_884]) ).
tcf(c_1059,plain,
mem(iPr_def_18,iPr_def_21),
inference(superposition,[status(thm)],[c_758,c_884]) ).
tcf(c_1067,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_22) ),
inference(superposition,[status(thm)],[c_50,c_885]) ).
tcf(c_1068,plain,
mem(iPr_def_14,iPr_def_22),
inference(superposition,[status(thm)],[c_757,c_885]) ).
tcf(c_1076,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_50,c_886]) ).
tcf(c_1077,plain,
mem(iPr_def_15,iPr_def_23),
inference(superposition,[status(thm)],[c_756,c_886]) ).
tcf(c_1085,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_24) ),
inference(superposition,[status(thm)],[c_50,c_887]) ).
tcf(c_1093,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_26) ),
inference(superposition,[status(thm)],[c_50,c_888]) ).
tcf(c_1094,plain,
mem(iPr_def_12,iPr_def_26),
inference(superposition,[status(thm)],[c_755,c_888]) ).
tcf(c_1116,plain,
! [X0: $i] : subq(p(X0),p(X0)),
inference(superposition,[status(thm)],[c_773,c_783]) ).
tcf(c_1123,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_1124,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_54,c_51]) ).
tcf(c_1125,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_1126,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_1127,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_1128,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_753,c_51]) ).
tcf(c_1129,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_754,c_51]) ).
tcf(c_1130,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_755,c_51]) ).
tcf(c_1131,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_756,c_51]) ).
tcf(c_1132,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_757,c_51]) ).
tcf(c_1133,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_758,c_51]) ).
tcf(c_1134,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_759,c_51]) ).
tcf(c_1135,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_760,c_51]) ).
tcf(c_1136,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1021,c_51]) ).
tcf(c_1137,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_1059,c_51]) ).
tcf(c_1138,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_1068,c_51]) ).
tcf(c_1139,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_1077,c_51]) ).
tcf(c_1178,plain,
( mem(iPr_def_15,e)
| ~ subq(iPr_def_23,e) ),
inference(instantiation,[status(thm)],[c_1139]) ).
tcf(c_1179,plain,
( mem(iPr_def_14,e)
| ~ subq(iPr_def_22,e) ),
inference(instantiation,[status(thm)],[c_1138]) ).
tcf(c_1182,plain,
( mem(iPr_def_24,e)
| ~ subq(iPr_def_25,e) ),
inference(instantiation,[status(thm)],[c_1135]) ).
tcf(c_1184,plain,
( mem(iPr_def_18,e)
| ~ subq(iPr_def_19,e) ),
inference(instantiation,[status(thm)],[c_1133]) ).
tcf(c_1186,plain,
( mem(iPr_def_15,e)
| ~ subq(iPr_def_16,e) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_1187,plain,
( mem(iPr_def_12,e)
| ~ subq(iPr_def_13,e) ),
inference(instantiation,[status(thm)],[c_1130]) ).
tcf(c_1188,plain,
( mem(iPr_def_11,e)
| ~ subq(iPr_def_12,e) ),
inference(instantiation,[status(thm)],[c_1129]) ).
tcf(c_1189,plain,
( mem(e,e)
| ~ subq(iPr_def_10,e) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_1211,plain,
( ( iPr_def_27 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_27) ),
inference(superposition,[status(thm)],[c_282,c_52]) ).
tcf(c_1212,plain,
! [X0: $i] :
( ( X0 = e )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_763,c_52]) ).
tcf(c_1213,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_773,c_52]) ).
tcf(c_1243,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_1246,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| mem(X0,e)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_264,c_58]) ).
tcf(c_1247,plain,
! [X0: $i] :
( mem(X0,iPr_def_13)
| mem(X0,iPr_def_12)
| ~ mem(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_267,c_58]) ).
tcf(c_1248,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| mem(X0,iPr_def_11)
| ~ mem(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_268,c_58]) ).
tcf(c_1249,plain,
! [X0: $i] :
( mem(X0,iPr_def_12)
| mem(X0,iPr_def_11)
| ~ mem(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_271,c_58]) ).
tcf(c_1250,plain,
! [X0: $i] :
( mem(X0,iPr_def_20)
| mem(X0,iPr_def_19)
| ~ mem(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_274,c_58]) ).
tcf(c_1251,plain,
! [X0: $i] :
( mem(X0,iPr_def_21)
| mem(X0,iPr_def_17)
| ~ mem(X0,iPr_def_22) ),
inference(superposition,[status(thm)],[c_275,c_58]) ).
tcf(c_1252,plain,
! [X0: $i] :
( mem(X0,iPr_def_22)
| mem(X0,iPr_def_16)
| ~ mem(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_276,c_58]) ).
tcf(c_1253,plain,
! [X0: $i] :
( mem(X0,iPr_def_19)
| mem(X0,iPr_def_18)
| ~ mem(X0,iPr_def_24) ),
inference(superposition,[status(thm)],[c_277,c_58]) ).
tcf(c_1254,plain,
! [X0: $i] :
( mem(X0,iPr_def_25)
| mem(X0,iPr_def_13)
| ~ mem(X0,iPr_def_26) ),
inference(superposition,[status(thm)],[c_279,c_58]) ).
tcf(c_1255,plain,
! [X0: $i] :
( mem(X0,iPr_def_26)
| mem(X0,iPr_def_23)
| ~ mem(X0,iPr_def_27) ),
inference(superposition,[status(thm)],[c_280,c_58]) ).
tcf(c_1256,plain,
! [X0: $i] :
( mem(X0,iPr_def_25)
| mem(X0,iPr_def_23)
| ~ mem(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_281,c_58]) ).
tcf(c_1287,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| ~ mem(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1246,c_53]) ).
tcf(c_1318,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_1319,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_1329,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_1094,c_51]) ).
tcf(c_1345,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_50,c_889]) ).
tcf(c_1346,plain,
mem(iPr_def_15,iPr_def_27),
inference(superposition,[status(thm)],[c_1077,c_889]) ).
tcf(c_1350,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1346,c_51]) ).
tcf(c_1358,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_50,c_890]) ).
tcf(c_1359,plain,
mem(iPr_def_15,iPr_def_28),
inference(superposition,[status(thm)],[c_1077,c_890]) ).
tcf(c_1381,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1359,c_51]) ).
tcf(c_1389,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_933]) ).
tcf(c_1390,plain,
mem(e,iPr_def_11),
inference(superposition,[status(thm)],[c_753,c_933]) ).
tcf(c_1394,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_1390,c_51]) ).
tcf(c_1395,plain,
mem(e,iPr_def_18),
inference(superposition,[status(thm)],[c_1390,c_883]) ).
tcf(c_1396,plain,
mem(e,iPr_def_15),
inference(superposition,[status(thm)],[c_1390,c_882]) ).
tcf(c_1401,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_1395,c_51]) ).
tcf(c_1402,plain,
mem(e,iPr_def_24),
inference(superposition,[status(thm)],[c_1395,c_887]) ).
tcf(c_1405,plain,
( mem(e,e)
| ~ subq(iPr_def_18,e) ),
inference(instantiation,[status(thm)],[c_1401]) ).
tcf(c_1406,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1396,c_51]) ).
tcf(c_1409,plain,
( mem(e,e)
| ~ subq(iPr_def_15,e) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1411,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_1402,c_51]) ).
tcf(c_1414,plain,
( mem(e,e)
| ~ subq(iPr_def_24,e) ),
inference(instantiation,[status(thm)],[c_1411]) ).
tcf(c_1445,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_50,c_934]) ).
tcf(c_1446,plain,
mem(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_755,c_934]) ).
tcf(c_1454,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(s(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_263,c_791]) ).
tcf(c_1455,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(s(iPr_def_11),X0) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_265,c_791]) ).
tcf(c_1456,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(s(iPr_def_12),X0) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_266,c_791]) ).
tcf(c_1457,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(s(iPr_def_15),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_269,c_791]) ).
tcf(c_1458,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(s(iPr_def_14),X0) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270,c_791]) ).
tcf(c_1459,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(s(iPr_def_18),X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_272,c_791]) ).
tcf(c_1460,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(s(iPr_def_19),X0) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_273,c_791]) ).
tcf(c_1461,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(s(iPr_def_24),X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_278,c_791]) ).
tcf(c_1462,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = X0 )
| ( sK0(s(X1),X0) = X1 )
| ~ subq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_791,c_52]) ).
tcf(c_1463,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_1461,c_278]) ).
tcf(c_1466,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1460,c_273]) ).
tcf(c_1469,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_1459,c_272]) ).
tcf(c_1488,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_50,c_935]) ).
tcf(c_1489,plain,
mem(iPr_def_11,iPr_def_15),
inference(superposition,[status(thm)],[c_1021,c_935]) ).
tcf(c_1497,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_50,c_936]) ).
tcf(c_1498,plain,
mem(iPr_def_11,iPr_def_18),
inference(superposition,[status(thm)],[c_754,c_936]) ).
tcf(c_1506,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_21) ),
inference(superposition,[status(thm)],[c_50,c_937]) ).
tcf(c_1507,plain,
mem(iPr_def_19,iPr_def_21),
inference(superposition,[status(thm)],[c_759,c_937]) ).
tcf(c_1515,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_22) ),
inference(superposition,[status(thm)],[c_50,c_938]) ).
tcf(c_1516,plain,
mem(iPr_def_18,iPr_def_22),
inference(superposition,[status(thm)],[c_1059,c_938]) ).
tcf(c_1522,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1446,c_51]) ).
tcf(c_1523,plain,
mem(iPr_def_12,iPr_def_15),
inference(superposition,[status(thm)],[c_1446,c_935]) ).
tcf(c_1528,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1489,c_51]) ).
tcf(c_1532,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_1498,c_51]) ).
tcf(c_1533,plain,
mem(iPr_def_11,iPr_def_24),
inference(superposition,[status(thm)],[c_1498,c_887]) ).
tcf(c_1538,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_1507,c_51]) ).
tcf(c_1539,plain,
mem(iPr_def_19,iPr_def_22),
inference(superposition,[status(thm)],[c_1507,c_938]) ).
tcf(c_1543,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_1516,c_51]) ).
tcf(c_1548,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1523,c_51]) ).
tcf(c_1561,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_1533,c_51]) ).
tcf(c_1565,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_1539,c_51]) ).
tcf(c_1573,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_50,c_939]) ).
tcf(c_1574,plain,
mem(iPr_def_14,iPr_def_23),
inference(superposition,[status(thm)],[c_1068,c_939]) ).
tcf(c_1575,plain,
mem(iPr_def_18,iPr_def_23),
inference(superposition,[status(thm)],[c_1516,c_939]) ).
tcf(c_1576,plain,
mem(iPr_def_19,iPr_def_23),
inference(superposition,[status(thm)],[c_1539,c_939]) ).
tcf(c_1583,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_1574,c_51]) ).
tcf(c_1584,plain,
mem(iPr_def_14,iPr_def_28),
inference(superposition,[status(thm)],[c_1574,c_890]) ).
tcf(c_1585,plain,
mem(iPr_def_14,iPr_def_27),
inference(superposition,[status(thm)],[c_1574,c_889]) ).
tcf(c_1613,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_1575,c_51]) ).
tcf(c_1614,plain,
mem(iPr_def_18,iPr_def_28),
inference(superposition,[status(thm)],[c_1575,c_890]) ).
tcf(c_1615,plain,
mem(iPr_def_18,iPr_def_27),
inference(superposition,[status(thm)],[c_1575,c_889]) ).
tcf(c_1637,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_1576,c_51]) ).
tcf(c_1638,plain,
mem(iPr_def_19,iPr_def_28),
inference(superposition,[status(thm)],[c_1576,c_890]) ).
tcf(c_1639,plain,
mem(iPr_def_19,iPr_def_27),
inference(superposition,[status(thm)],[c_1576,c_889]) ).
tcf(c_1647,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sK0(iPr_def_10,X0) = e )
| ~ subq(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_831,c_52]) ).
tcf(c_1656,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_24) ),
inference(superposition,[status(thm)],[c_50,c_940]) ).
tcf(c_1657,plain,
mem(iPr_def_18,iPr_def_24),
inference(superposition,[status(thm)],[c_758,c_940]) ).
tcf(c_1665,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_26) ),
inference(superposition,[status(thm)],[c_50,c_941]) ).
tcf(c_1666,plain,
mem(iPr_def_24,iPr_def_26),
inference(superposition,[status(thm)],[c_760,c_941]) ).
tcf(c_1674,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_50,c_942]) ).
tcf(c_1675,plain,
mem(iPr_def_12,iPr_def_27),
inference(superposition,[status(thm)],[c_1094,c_942]) ).
tcf(c_1715,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_50,c_943]) ).
tcf(c_1716,plain,
mem(iPr_def_24,iPr_def_28),
inference(superposition,[status(thm)],[c_760,c_943]) ).
tcf(c_1720,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1584,c_51]) ).
tcf(c_1724,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1585,c_51]) ).
tcf(c_1728,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1614,c_51]) ).
tcf(c_1743,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_287]) ).
tcf(c_1744,plain,
( mem(e,e)
| ~ mem(e,iPr_def_10)
| ( e != iPr_def_10 )
| ( e != e ) ),
inference(instantiation,[status(thm)],[c_1743]) ).
tcf(c_1745,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1615,c_51]) ).
tcf(c_1749,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1638,c_51]) ).
tcf(c_1753,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1639,c_51]) ).
tcf(c_1757,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_1657,c_51]) ).
tcf(c_1761,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_1666,c_51]) ).
tcf(c_1762,plain,
mem(iPr_def_24,iPr_def_27),
inference(superposition,[status(thm)],[c_1666,c_942]) ).
tcf(c_1766,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1675,c_51]) ).
tcf(c_1769,plain,
( mem(iPr_def_12,e)
| ~ subq(iPr_def_27,e) ),
inference(instantiation,[status(thm)],[c_1766]) ).
tcf(c_1770,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1716,c_51]) ).
tcf(c_1774,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1762,c_51]) ).
tcf(c_1791,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(superposition,[status(thm)],[c_831,c_1128]) ).
tcf(c_1799,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_12,X0) = iPr_def_11 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_840,c_52]) ).
tcf(c_1809,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_840,c_1129]) ).
tcf(c_1867,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_1287]) ).
tcf(c_1897,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_849,c_52]) ).
tcf(c_1898,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_849,c_1130]) ).
tcf(c_1991,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ( sK0(iPr_def_16,X0) = iPr_def_15 )
| ~ subq(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_858,c_52]) ).
tcf(c_1992,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_858,c_1131]) ).
tcf(c_2044,plain,
mem(iPr_def_12,iPr_def_28),
inference(superposition,[status(thm)],[c_282,c_1766]) ).
tcf(c_2046,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2044,c_51]) ).
tcf(c_2049,plain,
( mem(iPr_def_12,e)
| ~ subq(iPr_def_28,e) ),
inference(instantiation,[status(thm)],[c_2046]) ).
tcf(c_2088,plain,
subq(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_1020,c_49]) ).
tcf(c_2089,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| mem(sK0(iPr_def_12,X1),X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1020,c_51]) ).
tcf(c_2090,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_1020,c_935]) ).
tcf(c_2098,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ subq(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2088,c_52]) ).
tcf(c_2106,plain,
! [X0: $i] :
( ( X0 = iPr_def_17 )
| ( sK0(iPr_def_17,X0) = iPr_def_14 )
| ~ subq(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_867,c_52]) ).
tcf(c_2107,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_867,c_1132]) ).
tcf(c_2127,plain,
subq(iPr_def_11,iPr_def_15),
inference(superposition,[status(thm)],[c_1029,c_49]) ).
tcf(c_2128,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_11,X1)
| mem(sK0(iPr_def_11,X1),X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1029,c_51]) ).
tcf(c_2133,plain,
( ( iPr_def_11 = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2127,c_52]) ).
tcf(c_2149,plain,
subq(iPr_def_11,iPr_def_18),
inference(superposition,[status(thm)],[c_1050,c_49]) ).
tcf(c_2150,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_11,X1)
| mem(sK0(iPr_def_11,X1),X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_1050,c_51]) ).
tcf(c_2151,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_24) ),
inference(superposition,[status(thm)],[c_1050,c_887]) ).
tcf(c_2167,plain,
( ( iPr_def_11 = iPr_def_18 )
| ~ subq(iPr_def_18,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2149,c_52]) ).
tcf(c_2183,plain,
subq(iPr_def_19,iPr_def_21),
inference(superposition,[status(thm)],[c_1058,c_49]) ).
tcf(c_2184,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| mem(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_1058,c_51]) ).
tcf(c_2185,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_22) ),
inference(superposition,[status(thm)],[c_1058,c_938]) ).
tcf(c_2193,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ subq(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2183,c_52]) ).
tcf(c_2209,plain,
subq(iPr_def_17,iPr_def_22),
inference(superposition,[status(thm)],[c_1067,c_49]) ).
tcf(c_2210,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| mem(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_1067,c_51]) ).
tcf(c_2211,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1067,c_939]) ).
tcf(c_2227,plain,
( ( iPr_def_17 = iPr_def_22 )
| ~ subq(iPr_def_22,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2209,c_52]) ).
tcf(c_2243,plain,
subq(iPr_def_16,iPr_def_23),
inference(superposition,[status(thm)],[c_1076,c_49]) ).
tcf(c_2244,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| mem(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_1076,c_51]) ).
tcf(c_2245,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_1076,c_890]) ).
tcf(c_2246,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_1076,c_889]) ).
tcf(c_2265,plain,
( ( iPr_def_16 = iPr_def_23 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2243,c_52]) ).
tcf(c_2277,plain,
subq(iPr_def_18,iPr_def_24),
inference(superposition,[status(thm)],[c_1085,c_49]) ).
tcf(c_2278,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| mem(sK0(iPr_def_18,X1),X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_1085,c_51]) ).
tcf(c_2321,plain,
( ( iPr_def_18 = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2277,c_52]) ).
tcf(c_2330,plain,
subq(iPr_def_13,iPr_def_26),
inference(superposition,[status(thm)],[c_1093,c_49]) ).
tcf(c_2331,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_1093,c_51]) ).
tcf(c_2332,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_1093,c_942]) ).
tcf(c_2348,plain,
( ( iPr_def_13 = iPr_def_26 )
| ~ subq(iPr_def_26,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2330,c_52]) ).
tcf(c_2357,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_791,c_1124]) ).
tcf(c_2374,plain,
! [X0: $i] :
( subq(p(e),X0)
| ( sK0(p(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_773,c_1212]) ).
tcf(c_2376,plain,
! [X0: $i] :
( ( s(X0) = e )
| ( sK0(s(X0),e) = X0 ) ),
inference(superposition,[status(thm)],[c_791,c_1212]) ).
tcf(c_2377,plain,
( ( e = iPr_def_10 )
| ( sK0(iPr_def_10,e) = e ) ),
inference(superposition,[status(thm)],[c_831,c_1212]) ).
tcf(c_2378,plain,
( ( e = iPr_def_12 )
| ( sK0(iPr_def_12,e) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_840,c_1212]) ).
tcf(c_2379,plain,
( ( e = iPr_def_13 )
| ( sK0(iPr_def_13,e) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_849,c_1212]) ).
tcf(c_2380,plain,
( ( e = iPr_def_16 )
| ( sK0(iPr_def_16,e) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_858,c_1212]) ).
tcf(c_2381,plain,
( ( e = iPr_def_17 )
| ( sK0(iPr_def_17,e) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_867,c_1212]) ).
tcf(c_2410,plain,
( ( s(e) = e )
| ( sK0(iPr_def_10,e) = e ) ),
inference(superposition,[status(thm)],[c_263,c_2376]) ).
tcf(c_2411,plain,
( ( s(iPr_def_11) = e )
| ( sK0(iPr_def_12,e) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_265,c_2376]) ).
tcf(c_2412,plain,
( ( s(iPr_def_12) = e )
| ( sK0(iPr_def_13,e) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_266,c_2376]) ).
tcf(c_2413,plain,
( ( s(iPr_def_15) = e )
| ( sK0(iPr_def_16,e) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_269,c_2376]) ).
tcf(c_2414,plain,
( ( s(iPr_def_14) = e )
| ( sK0(iPr_def_17,e) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270,c_2376]) ).
tcf(c_2415,plain,
( ( s(iPr_def_18) = e )
| ( sK0(iPr_def_19,e) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_272,c_2376]) ).
tcf(c_2416,plain,
( ( s(iPr_def_19) = e )
| ( sK0(iPr_def_20,e) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_273,c_2376]) ).
tcf(c_2417,plain,
( ( s(iPr_def_24) = e )
| ( sK0(iPr_def_25,e) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_278,c_2376]) ).
tcf(c_2420,plain,
( ( e = iPr_def_25 )
| ( sK0(iPr_def_25,e) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2417,c_278]) ).
tcf(c_2423,plain,
( ( e = iPr_def_20 )
| ( sK0(iPr_def_20,e) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2416,c_273]) ).
tcf(c_2426,plain,
( ( e = iPr_def_19 )
| ( sK0(iPr_def_19,e) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2415,c_272]) ).
tcf(c_2438,plain,
subq(iPr_def_23,iPr_def_27),
inference(superposition,[status(thm)],[c_1345,c_49]) ).
tcf(c_2439,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| mem(sK0(iPr_def_23,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1345,c_51]) ).
tcf(c_2444,plain,
( ( iPr_def_23 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2438,c_52]) ).
tcf(c_2458,plain,
subq(iPr_def_23,iPr_def_28),
inference(superposition,[status(thm)],[c_1358,c_49]) ).
tcf(c_2459,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| mem(sK0(iPr_def_23,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1358,c_51]) ).
tcf(c_2466,plain,
( ( iPr_def_23 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2458,c_52]) ).
tcf(c_2499,plain,
subq(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1389,c_49]) ).
tcf(c_2500,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_1389,c_51]) ).
tcf(c_2501,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_1389,c_1287]) ).
tcf(c_2502,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_1389,c_883]) ).
tcf(c_2503,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_1389,c_882]) ).
tcf(c_2517,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ subq(iPr_def_11,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2499,c_52]) ).
tcf(c_2525,plain,
subq(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_1445,c_49]) ).
tcf(c_2526,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1445,c_51]) ).
tcf(c_2527,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_1445,c_935]) ).
tcf(c_2535,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ subq(iPr_def_14,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2525,c_52]) ).
tcf(c_2543,plain,
subq(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_1488,c_49]) ).
tcf(c_2544,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_1488,c_51]) ).
tcf(c_2549,plain,
( ( iPr_def_14 = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2543,c_52]) ).
tcf(c_2558,plain,
subq(iPr_def_12,iPr_def_18),
inference(superposition,[status(thm)],[c_1497,c_49]) ).
tcf(c_2559,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| mem(sK0(iPr_def_12,X1),X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_1497,c_51]) ).
tcf(c_2560,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_24) ),
inference(superposition,[status(thm)],[c_1497,c_887]) ).
tcf(c_2592,plain,
( ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_18,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2558,c_52]) ).
tcf(c_2600,plain,
subq(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_1506,c_49]) ).
tcf(c_2601,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_1506,c_51]) ).
tcf(c_2602,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_22) ),
inference(superposition,[status(thm)],[c_1506,c_938]) ).
tcf(c_2610,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ subq(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2600,c_52]) ).
tcf(c_2618,plain,
subq(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_1515,c_49]) ).
tcf(c_2619,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_1515,c_51]) ).
tcf(c_2620,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1515,c_939]) ).
tcf(c_2628,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ subq(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2618,c_52]) ).
tcf(c_2673,plain,
sK0(iPr_def_10,e) = e,
inference(global_subsumption_just,[status(thm)],[c_2377,c_66,c_835,c_1189]) ).
tcf(c_2675,plain,
( subq(iPr_def_10,e)
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_2673,c_49]) ).
tcf(c_2682,plain,
subq(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_1573,c_49]) ).
tcf(c_2683,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| mem(sK0(iPr_def_22,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_1573,c_51]) ).
tcf(c_2684,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_1573,c_890]) ).
tcf(c_2685,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_1573,c_889]) ).
tcf(c_2696,plain,
( ( iPr_def_22 = iPr_def_23 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2682,c_52]) ).
tcf(c_2706,plain,
subq(iPr_def_19,iPr_def_24),
inference(superposition,[status(thm)],[c_1656,c_49]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| mem(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_1656,c_51]) ).
tcf(c_2712,plain,
( ( iPr_def_19 = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2706,c_52]) ).
tcf(c_2720,plain,
subq(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_1665,c_49]) ).
tcf(c_2721,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| mem(sK0(iPr_def_25,X1),X0)
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_1665,c_51]) ).
tcf(c_2722,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_1665,c_942]) ).
tcf(c_2750,plain,
( ( iPr_def_25 = iPr_def_26 )
| ~ subq(iPr_def_26,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2720,c_52]) ).
tcf(c_2758,plain,
subq(iPr_def_26,iPr_def_27),
inference(superposition,[status(thm)],[c_1674,c_49]) ).
tcf(c_2759,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_1674,c_51]) ).
tcf(c_2764,plain,
( ( iPr_def_26 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2758,c_52]) ).
tcf(c_2773,plain,
subq(iPr_def_25,iPr_def_28),
inference(superposition,[status(thm)],[c_1715,c_49]) ).
tcf(c_2774,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| mem(sK0(iPr_def_25,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_1715,c_51]) ).
tcf(c_2779,plain,
( ( iPr_def_25 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2773,c_52]) ).
tcf(c_2787,plain,
subq(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_1867,c_49]) ).
tcf(c_2788,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_1867,c_51]) ).
tcf(c_2789,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_1867,c_933]) ).
tcf(c_2790,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| ( sK0(iPr_def_11,X0) = e ) ),
inference(superposition,[status(thm)],[c_1867,c_793]) ).
tcf(c_2801,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ subq(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2787,c_52]) ).
tcf(c_2803,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_2801,c_2499]) ).
tcf(c_2806,plain,
subq(iPr_def_10,iPr_def_10),
inference(demodulation,[status(thm)],[c_2499,c_2803]) ).
tcf(c_2808,plain,
subq(iPr_def_10,iPr_def_18),
inference(demodulation,[status(thm)],[c_2149,c_2803]) ).
tcf(c_2810,plain,
subq(iPr_def_10,iPr_def_15),
inference(demodulation,[status(thm)],[c_2127,c_2803]) ).
tcf(c_2812,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_24,X0) ),
inference(demodulation,[status(thm)],[c_1561,c_2803]) ).
tcf(c_2813,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_18,X0) ),
inference(demodulation,[status(thm)],[c_1532,c_2803]) ).
tcf(c_2814,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_15,X0) ),
inference(demodulation,[status(thm)],[c_1528,c_2803]) ).
tcf(c_2817,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_14,X0) ),
inference(demodulation,[status(thm)],[c_1136,c_2803]) ).
tcf(c_2818,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_12,X0) ),
inference(demodulation,[status(thm)],[c_1129,c_2803]) ).
tcf(c_2819,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_840,c_2803]) ).
tcf(c_2820,plain,
mem(iPr_def_10,iPr_def_24),
inference(demodulation,[status(thm)],[c_1533,c_2803]) ).
tcf(c_2821,plain,
mem(iPr_def_10,iPr_def_18),
inference(demodulation,[status(thm)],[c_1498,c_2803]) ).
tcf(c_2822,plain,
mem(iPr_def_10,iPr_def_15),
inference(demodulation,[status(thm)],[c_1489,c_2803]) ).
tcf(c_2825,plain,
! [X0: $i] :
( mem(X0,iPr_def_18)
| ~ mem(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_883,c_2803]) ).
tcf(c_2826,plain,
! [X0: $i] :
( mem(X0,iPr_def_15)
| ~ mem(X0,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_882,c_2803]) ).
tcf(c_2827,plain,
mem(iPr_def_10,iPr_def_14),
inference(demodulation,[status(thm)],[c_1021,c_2803]) ).
tcf(c_2828,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ mem(X0,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_794,c_2803]) ).
tcf(c_2829,plain,
u(iPr_def_10,iPr_def_12) = iPr_def_18,
inference(demodulation,[status(thm)],[c_271,c_2803]) ).
tcf(c_2830,plain,
u(iPr_def_10,iPr_def_14) = iPr_def_15,
inference(demodulation,[status(thm)],[c_268,c_2803]) ).
tcf(c_2831,plain,
u(e,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_264,c_2803]) ).
tcf(c_2832,plain,
mem(iPr_def_10,iPr_def_12),
inference(demodulation,[status(thm)],[c_754,c_2803]) ).
tcf(c_2833,plain,
s(iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_265,c_2803]) ).
tcf(c_2857,plain,
( ( e = iPr_def_10 )
| ~ mem(e,iPr_def_12) ),
inference(instantiation,[status(thm)],[c_2828]) ).
tcf(c_2859,plain,
( ( iPr_def_10 = iPr_def_18 )
| ~ subq(iPr_def_18,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2808,c_52]) ).
tcf(c_2863,plain,
( ( iPr_def_10 = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2810,c_52]) ).
tcf(c_2870,plain,
( ( e = iPr_def_12 )
| ( sK0(iPr_def_12,e) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_2378,c_2803]) ).
tcf(c_2877,plain,
( subq(iPr_def_12,e)
| ( e = iPr_def_12 )
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_2870,c_49]) ).
tcf(c_2885,plain,
( ( s(iPr_def_10) = e )
| ( sK0(iPr_def_12,e) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_2833,c_2376]) ).
tcf(c_2887,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(s(iPr_def_10),X0) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_2833,c_791]) ).
tcf(c_2891,plain,
! [X0: $i] :
( mem(X0,iPr_def_12)
| mem(X0,iPr_def_10)
| ~ mem(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2829,c_58]) ).
tcf(c_2900,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| mem(X0,iPr_def_10)
| ~ mem(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2830,c_58]) ).
tcf(c_2955,plain,
subq(iPr_def_12,iPr_def_15),
inference(superposition,[status(thm)],[c_2090,c_49]) ).
tcf(c_2956,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_2090,c_51]) ).
tcf(c_2961,plain,
( ( iPr_def_12 = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2955,c_52]) ).
tcf(c_2983,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_2151,c_2803]) ).
tcf(c_2991,plain,
subq(iPr_def_10,iPr_def_24),
inference(superposition,[status(thm)],[c_2983,c_49]) ).
tcf(c_2992,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| mem(sK0(iPr_def_10,X1),X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2983,c_51]) ).
tcf(c_2997,plain,
( ( iPr_def_10 = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2991,c_52]) ).
tcf(c_3005,plain,
subq(iPr_def_19,iPr_def_22),
inference(superposition,[status(thm)],[c_2185,c_49]) ).
tcf(c_3006,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| mem(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_2185,c_51]) ).
tcf(c_3007,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_2185,c_939]) ).
tcf(c_3015,plain,
( ( iPr_def_19 = iPr_def_22 )
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3005,c_52]) ).
tcf(c_3023,plain,
subq(iPr_def_17,iPr_def_23),
inference(superposition,[status(thm)],[c_2211,c_49]) ).
tcf(c_3024,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| mem(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2211,c_51]) ).
tcf(c_3025,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_2211,c_890]) ).
tcf(c_3026,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_2211,c_889]) ).
tcf(c_3058,plain,
( ( iPr_def_17 = iPr_def_23 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3023,c_52]) ).
tcf(c_3074,plain,
subq(iPr_def_16,iPr_def_28),
inference(superposition,[status(thm)],[c_2245,c_49]) ).
tcf(c_3075,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| mem(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2245,c_51]) ).
tcf(c_3087,plain,
( ( iPr_def_16 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3074,c_52]) ).
tcf(c_3095,plain,
subq(iPr_def_16,iPr_def_27),
inference(superposition,[status(thm)],[c_2246,c_49]) ).
tcf(c_3096,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| mem(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2246,c_51]) ).
tcf(c_3101,plain,
( ( iPr_def_16 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3095,c_52]) ).
tcf(c_3127,plain,
( subq(iPr_def_13,e)
| ( e = iPr_def_13 )
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_2379,c_49]) ).
tcf(c_3152,plain,
subq(iPr_def_13,iPr_def_27),
inference(superposition,[status(thm)],[c_2332,c_49]) ).
tcf(c_3153,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2332,c_51]) ).
tcf(c_3158,plain,
( ( iPr_def_13 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3152,c_52]) ).
tcf(c_3168,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| mem(sK0(iPr_def_10,X1),X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_2502,c_51]) ).
tcf(c_3180,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| mem(sK0(iPr_def_10,X1),X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2503,c_51]) ).
tcf(c_3192,plain,
subq(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_2527,c_49]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2527,c_51]) ).
tcf(c_3198,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3192,c_52]) ).
tcf(c_3215,plain,
subq(iPr_def_12,iPr_def_24),
inference(superposition,[status(thm)],[c_2560,c_49]) ).
tcf(c_3216,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| mem(sK0(iPr_def_12,X1),X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2560,c_51]) ).
tcf(c_3228,plain,
( ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3215,c_52]) ).
tcf(c_3236,plain,
( subq(iPr_def_16,e)
| ( e = iPr_def_16 )
| ~ mem(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_2380,c_49]) ).
tcf(c_3275,plain,
subq(iPr_def_20,iPr_def_22),
inference(superposition,[status(thm)],[c_2602,c_49]) ).
tcf(c_3276,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| mem(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_2602,c_51]) ).
tcf(c_3277,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_2602,c_939]) ).
tcf(c_3285,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ subq(iPr_def_22,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3275,c_52]) ).
tcf(c_3293,plain,
subq(iPr_def_21,iPr_def_23),
inference(superposition,[status(thm)],[c_2620,c_49]) ).
tcf(c_3294,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| mem(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2620,c_51]) ).
tcf(c_3295,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_2620,c_890]) ).
tcf(c_3296,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_2620,c_889]) ).
tcf(c_3322,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3293,c_52]) ).
tcf(c_3331,plain,
subq(iPr_def_22,iPr_def_28),
inference(superposition,[status(thm)],[c_2684,c_49]) ).
tcf(c_3332,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| mem(sK0(iPr_def_22,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2684,c_51]) ).
tcf(c_3337,plain,
( ( iPr_def_22 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3331,c_52]) ).
tcf(c_3354,plain,
subq(iPr_def_22,iPr_def_27),
inference(superposition,[status(thm)],[c_2685,c_49]) ).
tcf(c_3355,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| mem(sK0(iPr_def_22,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2685,c_51]) ).
tcf(c_3360,plain,
( ( iPr_def_22 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3354,c_52]) ).
tcf(c_3381,plain,
subq(iPr_def_25,iPr_def_27),
inference(superposition,[status(thm)],[c_2722,c_49]) ).
tcf(c_3382,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| mem(sK0(iPr_def_25,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2722,c_51]) ).
tcf(c_3394,plain,
( ( iPr_def_25 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3381,c_52]) ).
tcf(c_3420,plain,
( subq(iPr_def_17,e)
| ( e = iPr_def_17 )
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_2381,c_49]) ).
tcf(c_3459,plain,
subq(iPr_def_19,iPr_def_23),
inference(superposition,[status(thm)],[c_3007,c_49]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| mem(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3007,c_51]) ).
tcf(c_3461,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_3007,c_890]) ).
tcf(c_3462,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_3007,c_889]) ).
tcf(c_3481,plain,
( ( iPr_def_19 = iPr_def_23 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3459,c_52]) ).
tcf(c_3517,plain,
subq(iPr_def_17,iPr_def_28),
inference(superposition,[status(thm)],[c_3025,c_49]) ).
tcf(c_3518,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| mem(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3025,c_51]) ).
tcf(c_3523,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3517,c_52]) ).
tcf(c_3532,plain,
subq(iPr_def_17,iPr_def_27),
inference(superposition,[status(thm)],[c_3026,c_49]) ).
tcf(c_3533,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| mem(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3026,c_51]) ).
tcf(c_3538,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3532,c_52]) ).
tcf(c_3550,plain,
( subq(iPr_def_25,e)
| ( e = iPr_def_25 )
| ~ mem(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_2420,c_49]) ).
tcf(c_3579,plain,
subq(iPr_def_20,iPr_def_23),
inference(superposition,[status(thm)],[c_3277,c_49]) ).
tcf(c_3580,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| mem(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3277,c_51]) ).
tcf(c_3581,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_28) ),
inference(superposition,[status(thm)],[c_3277,c_890]) ).
tcf(c_3582,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_27) ),
inference(superposition,[status(thm)],[c_3277,c_889]) ).
tcf(c_3593,plain,
( ( iPr_def_20 = iPr_def_23 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3579,c_52]) ).
tcf(c_3613,plain,
subq(iPr_def_21,iPr_def_28),
inference(superposition,[status(thm)],[c_3295,c_49]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| mem(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3295,c_51]) ).
tcf(c_3619,plain,
( ( iPr_def_21 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3613,c_52]) ).
tcf(c_3628,plain,
subq(iPr_def_21,iPr_def_27),
inference(superposition,[status(thm)],[c_3296,c_49]) ).
tcf(c_3629,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| mem(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3296,c_51]) ).
tcf(c_3634,plain,
( ( iPr_def_21 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3628,c_52]) ).
tcf(c_3689,plain,
( subq(iPr_def_20,e)
| ( e = iPr_def_20 )
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_2423,c_49]) ).
tcf(c_3714,plain,
subq(iPr_def_19,iPr_def_28),
inference(superposition,[status(thm)],[c_3461,c_49]) ).
tcf(c_3715,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| mem(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3461,c_51]) ).
tcf(c_3720,plain,
( ( iPr_def_19 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3714,c_52]) ).
tcf(c_3728,plain,
subq(iPr_def_19,iPr_def_27),
inference(superposition,[status(thm)],[c_3462,c_49]) ).
tcf(c_3729,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| mem(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3462,c_51]) ).
tcf(c_3734,plain,
( ( iPr_def_19 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3728,c_52]) ).
tcf(c_3743,plain,
subq(iPr_def_20,iPr_def_28),
inference(superposition,[status(thm)],[c_3581,c_49]) ).
tcf(c_3744,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| mem(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3581,c_51]) ).
tcf(c_3749,plain,
( ( iPr_def_20 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3743,c_52]) ).
tcf(c_3758,plain,
subq(iPr_def_20,iPr_def_27),
inference(superposition,[status(thm)],[c_3582,c_49]) ).
tcf(c_3759,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| mem(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3582,c_51]) ).
tcf(c_3764,plain,
( ( iPr_def_20 = iPr_def_27 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3758,c_52]) ).
tcf(c_3795,plain,
( subq(iPr_def_19,e)
| ( e = iPr_def_19 )
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_2426,c_49]) ).
tcf(c_3815,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( sK0(iPr_def_25,X0) = iPr_def_24 )
| ~ subq(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_1463,c_52]) ).
tcf(c_3816,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_1135]) ).
tcf(c_3836,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( sK0(iPr_def_20,X0) = iPr_def_19 )
| ~ subq(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_1466,c_52]) ).
tcf(c_3837,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1466,c_1134]) ).
tcf(c_3849,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( sK0(iPr_def_19,X0) = iPr_def_18 )
| ~ subq(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1469,c_52]) ).
tcf(c_3850,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1469,c_1133]) ).
tcf(c_3881,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK0(iPr_def_10,X0) = e )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1791,c_51]) ).
tcf(c_3883,plain,
! [X0: $i] :
( ( X0 = e )
| ( sK0(iPr_def_10,s(X0)) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_55]) ).
tcf(c_3884,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| mem(e,X0)
| ( sK0(iPr_def_10,u(X0,X1)) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_58]) ).
tcf(c_3885,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_10,m(X1,X0)) = e )
| ~ mem(e,X0) ),
inference(superposition,[status(thm)],[c_1791,c_61]) ).
tcf(c_3886,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_60]) ).
tcf(c_3891,plain,
( ( e = iPr_def_10 )
| ( sK0(iPr_def_10,iPr_def_12) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_2828]) ).
tcf(c_3893,plain,
( mem(e,iPr_def_14)
| ( sK0(iPr_def_10,iPr_def_12) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_881]) ).
tcf(c_3894,plain,
( mem(e,iPr_def_14)
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_934]) ).
tcf(c_3895,plain,
( mem(e,iPr_def_26)
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_888]) ).
tcf(c_3896,plain,
( ( e = iPr_def_12 )
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_795]) ).
tcf(c_3897,plain,
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_16) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_886]) ).
tcf(c_3898,plain,
( ( e = iPr_def_15 )
| ( sK0(iPr_def_10,iPr_def_16) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_796]) ).
tcf(c_3899,plain,
( mem(e,iPr_def_22)
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_885]) ).
tcf(c_3900,plain,
( ( e = iPr_def_14 )
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_797]) ).
tcf(c_3901,plain,
( ( e = iPr_def_18 )
| ( sK0(iPr_def_10,iPr_def_19) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_798]) ).
tcf(c_3903,plain,
( mem(e,iPr_def_21)
| ( sK0(iPr_def_10,iPr_def_19) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_884]) ).
tcf(c_3904,plain,
( ( e = iPr_def_19 )
| ( sK0(iPr_def_10,iPr_def_20) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_799]) ).
tcf(c_3905,plain,
( mem(e,iPr_def_21)
| ( sK0(iPr_def_10,iPr_def_20) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_937]) ).
tcf(c_3906,plain,
( ( e = iPr_def_24 )
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_800]) ).
tcf(c_3907,plain,
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_943]) ).
tcf(c_3908,plain,
( mem(e,iPr_def_26)
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_941]) ).
tcf(c_3911,plain,
( mem(e,iPr_def_22)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_938]) ).
tcf(c_3912,plain,
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_22) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_939]) ).
tcf(c_3913,plain,
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,iPr_def_23) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_890]) ).
tcf(c_3914,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_23) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_889]) ).
tcf(c_3915,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_26) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_942]) ).
tcf(c_4068,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_1809,c_2803]) ).
tcf(c_4075,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_4068,c_51]) ).
tcf(c_4076,plain,
sK0(iPr_def_12,e) = iPr_def_10,
inference(superposition,[status(thm)],[c_4068,c_53]) ).
tcf(c_4077,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sK0(iPr_def_12,s(X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_55]) ).
tcf(c_4078,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_4068,c_58]) ).
tcf(c_4079,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_4068,c_61]) ).
tcf(c_4080,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_4068,c_60]) ).
tcf(c_4081,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_12,p(X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_63]) ).
tcf(c_4084,plain,
( ( e = iPr_def_10 )
| ( sK0(iPr_def_12,iPr_def_10) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_793]) ).
tcf(c_4089,plain,
( mem(iPr_def_10,iPr_def_26)
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_888]) ).
tcf(c_4090,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_795]) ).
tcf(c_4091,plain,
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_886]) ).
tcf(c_4092,plain,
( ( iPr_def_10 = iPr_def_15 )
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_796]) ).
tcf(c_4093,plain,
( mem(iPr_def_10,iPr_def_22)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_885]) ).
tcf(c_4094,plain,
( ( iPr_def_10 = iPr_def_14 )
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_797]) ).
tcf(c_4095,plain,
( ( iPr_def_10 = iPr_def_18 )
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_798]) ).
tcf(c_4097,plain,
( mem(iPr_def_10,iPr_def_21)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_884]) ).
tcf(c_4098,plain,
( ( iPr_def_10 = iPr_def_19 )
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_799]) ).
tcf(c_4099,plain,
( mem(iPr_def_10,iPr_def_21)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_937]) ).
tcf(c_4100,plain,
( ( iPr_def_10 = iPr_def_24 )
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_800]) ).
tcf(c_4101,plain,
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_943]) ).
tcf(c_4102,plain,
( mem(iPr_def_10,iPr_def_26)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_941]) ).
tcf(c_4105,plain,
( mem(iPr_def_10,iPr_def_22)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_938]) ).
tcf(c_4106,plain,
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_939]) ).
tcf(c_4107,plain,
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_890]) ).
tcf(c_4108,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_889]) ).
tcf(c_4109,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_26) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_942]) ).
tcf(c_4162,plain,
( subq(iPr_def_10,e)
| ( sK0(iPr_def_12,p(e)) = iPr_def_10 ) ),
inference(instantiation,[status(thm)],[c_4081]) ).
tcf(c_4196,plain,
( subq(iPr_def_12,e)
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_4076,c_49]) ).
tcf(c_4206,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1898,c_51]) ).
tcf(c_4207,plain,
sK0(iPr_def_13,e) = iPr_def_12,
inference(superposition,[status(thm)],[c_1898,c_53]) ).
tcf(c_4208,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_55]) ).
tcf(c_4209,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,u(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_58]) ).
tcf(c_4210,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_13,m(X1,X0)) = iPr_def_12 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_1898,c_61]) ).
tcf(c_4211,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_60]) ).
tcf(c_4212,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_13,p(X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_63]) ).
tcf(c_4214,plain,
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_2825]) ).
tcf(c_4215,plain,
( ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_793]) ).
tcf(c_4216,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_2828]) ).
tcf(c_4217,plain,
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_936]) ).
tcf(c_4222,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_16) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_886]) ).
tcf(c_4223,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_13,iPr_def_16) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_796]) ).
tcf(c_4224,plain,
( mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_885]) ).
tcf(c_4225,plain,
( ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_797]) ).
tcf(c_4226,plain,
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_798]) ).
tcf(c_4227,plain,
( mem(iPr_def_12,iPr_def_24)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_940]) ).
tcf(c_4228,plain,
( mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_884]) ).
tcf(c_4229,plain,
( ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_799]) ).
tcf(c_4230,plain,
( mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_937]) ).
tcf(c_4231,plain,
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_800]) ).
tcf(c_4235,plain,
( mem(iPr_def_12,iPr_def_24)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_887]) ).
tcf(c_4236,plain,
( mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_938]) ).
tcf(c_4237,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_22) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_939]) ).
tcf(c_4347,plain,
( subq(iPr_def_13,e)
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_4207,c_49]) ).
tcf(c_4357,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X1)
| ( sK0(iPr_def_16,X0) = iPr_def_15 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1992,c_51]) ).
tcf(c_4358,plain,
sK0(iPr_def_16,e) = iPr_def_15,
inference(superposition,[status(thm)],[c_1992,c_53]) ).
tcf(c_4359,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( sK0(iPr_def_16,s(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_55]) ).
tcf(c_4360,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X1)
| mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,u(X0,X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_58]) ).
tcf(c_4361,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_16,m(X1,X0)) = iPr_def_15 )
| ~ mem(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1992,c_61]) ).
tcf(c_4362,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_60]) ).
tcf(c_4363,plain,
! [X0: $i] :
( subq(iPr_def_15,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_63]) ).
tcf(c_4364,plain,
( mem(iPr_def_15,iPr_def_15)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_2826]) ).
tcf(c_4365,plain,
( mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_2825]) ).
tcf(c_4366,plain,
( ( e = iPr_def_15 )
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_793]) ).
tcf(c_4367,plain,
( ( iPr_def_10 = iPr_def_15 )
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_2828]) ).
tcf(c_4368,plain,
( mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_936]) ).
tcf(c_4369,plain,
( mem(iPr_def_15,iPr_def_14)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_881]) ).
tcf(c_4370,plain,
( mem(iPr_def_15,iPr_def_14)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_934]) ).
tcf(c_4371,plain,
( mem(iPr_def_15,iPr_def_26)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_888]) ).
tcf(c_4372,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_795]) ).
tcf(c_4375,plain,
( mem(iPr_def_15,iPr_def_22)
| ( sK0(iPr_def_16,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_885]) ).
tcf(c_4376,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sK0(iPr_def_16,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_797]) ).
tcf(c_4377,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_798]) ).
tcf(c_4378,plain,
( mem(iPr_def_15,iPr_def_24)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_940]) ).
tcf(c_4379,plain,
( mem(iPr_def_15,iPr_def_21)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_884]) ).
tcf(c_4380,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_799]) ).
tcf(c_4381,plain,
( mem(iPr_def_15,iPr_def_21)
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_937]) ).
tcf(c_4382,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sK0(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_800]) ).
tcf(c_4384,plain,
( mem(iPr_def_15,iPr_def_26)
| ( sK0(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_941]) ).
tcf(c_4385,plain,
( mem(iPr_def_15,iPr_def_15)
| ( sK0(iPr_def_16,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_935]) ).
tcf(c_4386,plain,
( mem(iPr_def_15,iPr_def_24)
| ( sK0(iPr_def_16,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_887]) ).
tcf(c_4387,plain,
( mem(iPr_def_15,iPr_def_22)
| ( sK0(iPr_def_16,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_938]) ).
tcf(c_4544,plain,
( subq(iPr_def_16,e)
| ~ mem(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_4358,c_49]) ).
tcf(c_4553,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X1)
| ( sK0(iPr_def_17,X0) = iPr_def_14 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2107,c_51]) ).
tcf(c_4554,plain,
sK0(iPr_def_17,e) = iPr_def_14,
inference(superposition,[status(thm)],[c_2107,c_53]) ).
tcf(c_4555,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( sK0(iPr_def_17,s(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_55]) ).
tcf(c_4556,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X1)
| mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,u(X0,X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_58]) ).
tcf(c_4557,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_17,m(X1,X0)) = iPr_def_14 )
| ~ mem(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_2107,c_61]) ).
tcf(c_4558,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_60]) ).
tcf(c_4559,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_63]) ).
tcf(c_4560,plain,
( mem(iPr_def_14,iPr_def_15)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_2826]) ).
tcf(c_4561,plain,
( mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_2825]) ).
tcf(c_4562,plain,
( ( e = iPr_def_14 )
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_793]) ).
tcf(c_4563,plain,
( ( iPr_def_10 = iPr_def_14 )
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_2828]) ).
tcf(c_4564,plain,
( mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_936]) ).
tcf(c_4565,plain,
( mem(iPr_def_14,iPr_def_14)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_881]) ).
tcf(c_4566,plain,
( mem(iPr_def_14,iPr_def_14)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_934]) ).
tcf(c_4567,plain,
( mem(iPr_def_14,iPr_def_26)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_888]) ).
tcf(c_4568,plain,
( ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_795]) ).
tcf(c_4570,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sK0(iPr_def_17,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_796]) ).
tcf(c_4573,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_798]) ).
tcf(c_4574,plain,
( mem(iPr_def_14,iPr_def_24)
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_940]) ).
tcf(c_4575,plain,
( mem(iPr_def_14,iPr_def_21)
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_884]) ).
tcf(c_4576,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( sK0(iPr_def_17,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_799]) ).
tcf(c_4577,plain,
( mem(iPr_def_14,iPr_def_21)
| ( sK0(iPr_def_17,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_937]) ).
tcf(c_4578,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sK0(iPr_def_17,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_800]) ).
tcf(c_4580,plain,
( mem(iPr_def_14,iPr_def_26)
| ( sK0(iPr_def_17,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_941]) ).
tcf(c_4581,plain,
( mem(iPr_def_14,iPr_def_15)
| ( sK0(iPr_def_17,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_935]) ).
tcf(c_4582,plain,
( mem(iPr_def_14,iPr_def_24)
| ( sK0(iPr_def_17,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_887]) ).
tcf(c_4689,plain,
( subq(iPr_def_17,e)
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_4554,c_49]) ).
tcf(c_4700,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_12,X0) = iPr_def_10 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2819,c_52]) ).
tcf(c_4718,plain,
! [X0: $i] :
( subq(iPr_def_10,s(X0))
| ( X0 = e )
| ~ mem(e,s(X0)) ),
inference(superposition,[status(thm)],[c_3883,c_49]) ).
tcf(c_4732,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_13)
| mem(sK0(iPr_def_14,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_50,c_1247]) ).
tcf(c_4733,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_13)
| mem(sK0(iPr_def_12,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_1020,c_1247]) ).
tcf(c_4734,plain,
( mem(e,iPr_def_13)
| mem(e,iPr_def_12)
| ( sK0(iPr_def_10,iPr_def_14) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1247]) ).
tcf(c_4736,plain,
( mem(iPr_def_15,iPr_def_13)
| mem(iPr_def_15,iPr_def_12)
| ( sK0(iPr_def_16,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_1247]) ).
tcf(c_4737,plain,
( mem(iPr_def_14,iPr_def_13)
| mem(iPr_def_14,iPr_def_12)
| ( sK0(iPr_def_17,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_1247]) ).
tcf(c_4738,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_13)
| mem(sK0(iPr_def_13,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_1445,c_1247]) ).
tcf(c_4800,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_19) ),
inference(superposition,[status(thm)],[c_50,c_1250]) ).
tcf(c_4801,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_20)
| mem(sK0(iPr_def_19,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_1058,c_1250]) ).
tcf(c_4803,plain,
( mem(e,iPr_def_20)
| mem(e,iPr_def_19)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1250]) ).
tcf(c_4804,plain,
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_1250]) ).
tcf(c_4805,plain,
( mem(iPr_def_15,iPr_def_20)
| mem(iPr_def_15,iPr_def_19)
| ( sK0(iPr_def_16,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_1250]) ).
tcf(c_4806,plain,
( mem(iPr_def_14,iPr_def_20)
| mem(iPr_def_14,iPr_def_19)
| ( sK0(iPr_def_17,iPr_def_21) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_1250]) ).
tcf(c_4807,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_19) ),
inference(superposition,[status(thm)],[c_1506,c_1250]) ).
tcf(c_4809,plain,
( mem(iPr_def_10,iPr_def_20)
| mem(iPr_def_10,iPr_def_19)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_1250]) ).
tcf(c_4863,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X1)
| ( sK0(iPr_def_25,X0) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3816,c_51]) ).
tcf(c_4864,plain,
sK0(iPr_def_25,e) = iPr_def_24,
inference(superposition,[status(thm)],[c_3816,c_53]) ).
tcf(c_4865,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_55]) ).
tcf(c_4866,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X1)
| mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_58]) ).
tcf(c_4867,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ~ mem(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3816,c_61]) ).
tcf(c_4868,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_60]) ).
tcf(c_4869,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_63]) ).
tcf(c_4870,plain,
( mem(iPr_def_24,iPr_def_15)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_2826]) ).
tcf(c_4871,plain,
( mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_2825]) ).
tcf(c_4872,plain,
( ( e = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_793]) ).
tcf(c_4873,plain,
( ( iPr_def_10 = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_2828]) ).
tcf(c_4874,plain,
( mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_936]) ).
tcf(c_4875,plain,
( mem(iPr_def_24,iPr_def_14)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_881]) ).
tcf(c_4876,plain,
( mem(iPr_def_24,iPr_def_14)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_934]) ).
tcf(c_4878,plain,
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_795]) ).
tcf(c_4879,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_886]) ).
tcf(c_4880,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_796]) ).
tcf(c_4881,plain,
( mem(iPr_def_24,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_885]) ).
tcf(c_4882,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_797]) ).
tcf(c_4883,plain,
( ( iPr_def_18 = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_798]) ).
tcf(c_4884,plain,
( mem(iPr_def_24,iPr_def_24)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_940]) ).
tcf(c_4885,plain,
( mem(iPr_def_24,iPr_def_21)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_884]) ).
tcf(c_4886,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_799]) ).
tcf(c_4887,plain,
( mem(iPr_def_24,iPr_def_21)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_937]) ).
tcf(c_4891,plain,
( mem(iPr_def_24,iPr_def_13)
| mem(iPr_def_24,iPr_def_12)
| ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_1247]) ).
tcf(c_4892,plain,
( mem(iPr_def_24,iPr_def_15)
| ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_935]) ).
tcf(c_4893,plain,
( mem(iPr_def_24,iPr_def_24)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_887]) ).
tcf(c_4894,plain,
( mem(iPr_def_24,iPr_def_20)
| mem(iPr_def_24,iPr_def_19)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_1250]) ).
tcf(c_4895,plain,
( mem(iPr_def_24,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_938]) ).
tcf(c_4896,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_939]) ).
tcf(c_4962,plain,
( subq(iPr_def_24,e)
| ( sK0(iPr_def_25,p(e)) = iPr_def_24 ) ),
inference(instantiation,[status(thm)],[c_4869]) ).
tcf(c_5028,plain,
( subq(iPr_def_25,e)
| ~ mem(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_4864,c_49]) ).
tcf(c_5045,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_3837,c_51]) ).
tcf(c_5046,plain,
sK0(iPr_def_20,e) = iPr_def_19,
inference(superposition,[status(thm)],[c_3837,c_53]) ).
tcf(c_5047,plain,
! [X0: $i] :
( ( X0 = iPr_def_19 )
| ( sK0(iPr_def_20,s(X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_55]) ).
tcf(c_5048,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_3837,c_58]) ).
tcf(c_5049,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_3837,c_61]) ).
tcf(c_5050,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_3837,c_60]) ).
tcf(c_5051,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_63]) ).
tcf(c_5052,plain,
( mem(iPr_def_19,iPr_def_15)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_2826]) ).
tcf(c_5053,plain,
( mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_2825]) ).
tcf(c_5054,plain,
( ( e = iPr_def_19 )
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_793]) ).
tcf(c_5055,plain,
( ( iPr_def_10 = iPr_def_19 )
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_2828]) ).
tcf(c_5056,plain,
( mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_936]) ).
tcf(c_5057,plain,
( mem(iPr_def_19,iPr_def_14)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_881]) ).
tcf(c_5058,plain,
( mem(iPr_def_19,iPr_def_14)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_934]) ).
tcf(c_5059,plain,
( mem(iPr_def_19,iPr_def_26)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_888]) ).
tcf(c_5060,plain,
( ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_795]) ).
tcf(c_5062,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sK0(iPr_def_20,iPr_def_16) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_796]) ).
tcf(c_5064,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( sK0(iPr_def_20,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_797]) ).
tcf(c_5065,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sK0(iPr_def_20,iPr_def_19) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_798]) ).
tcf(c_5066,plain,
( mem(iPr_def_19,iPr_def_24)
| ( sK0(iPr_def_20,iPr_def_19) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_940]) ).
tcf(c_5070,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sK0(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_800]) ).
tcf(c_5072,plain,
( mem(iPr_def_19,iPr_def_26)
| ( sK0(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_941]) ).
tcf(c_5073,plain,
( mem(iPr_def_19,iPr_def_13)
| mem(iPr_def_19,iPr_def_12)
| ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_1247]) ).
tcf(c_5074,plain,
( mem(iPr_def_19,iPr_def_15)
| ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_935]) ).
tcf(c_5075,plain,
( mem(iPr_def_19,iPr_def_24)
| ( sK0(iPr_def_20,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_887]) ).
tcf(c_5185,plain,
( subq(iPr_def_20,e)
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_5046,c_49]) ).
tcf(c_5196,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X1)
| ( sK0(iPr_def_19,X0) = iPr_def_18 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3850,c_51]) ).
tcf(c_5197,plain,
sK0(iPr_def_19,e) = iPr_def_18,
inference(superposition,[status(thm)],[c_3850,c_53]) ).
tcf(c_5198,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ( sK0(iPr_def_19,s(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_55]) ).
tcf(c_5199,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X1)
| mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,u(X0,X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_58]) ).
tcf(c_5200,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_19,m(X1,X0)) = iPr_def_18 )
| ~ mem(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3850,c_61]) ).
tcf(c_5201,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,m(X0,X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_60]) ).
tcf(c_5202,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_63]) ).
tcf(c_5203,plain,
( mem(iPr_def_18,iPr_def_15)
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_2826]) ).
tcf(c_5204,plain,
( mem(iPr_def_18,iPr_def_18)
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_2825]) ).
tcf(c_5205,plain,
( ( e = iPr_def_18 )
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_793]) ).
tcf(c_5206,plain,
( ( iPr_def_10 = iPr_def_18 )
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_2828]) ).
tcf(c_5207,plain,
( mem(iPr_def_18,iPr_def_18)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_936]) ).
tcf(c_5208,plain,
( mem(iPr_def_18,iPr_def_14)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_881]) ).
tcf(c_5209,plain,
( mem(iPr_def_18,iPr_def_14)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_934]) ).
tcf(c_5210,plain,
( mem(iPr_def_18,iPr_def_26)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_888]) ).
tcf(c_5211,plain,
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_795]) ).
tcf(c_5213,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sK0(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_796]) ).
tcf(c_5215,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sK0(iPr_def_19,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_797]) ).
tcf(c_5219,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sK0(iPr_def_19,iPr_def_20) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_799]) ).
tcf(c_5221,plain,
( ( iPr_def_18 = iPr_def_24 )
| ( sK0(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_800]) ).
tcf(c_5223,plain,
( mem(iPr_def_18,iPr_def_26)
| ( sK0(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_941]) ).
tcf(c_5224,plain,
( mem(iPr_def_18,iPr_def_13)
| mem(iPr_def_18,iPr_def_12)
| ( sK0(iPr_def_19,iPr_def_14) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_1247]) ).
tcf(c_5225,plain,
( mem(iPr_def_18,iPr_def_15)
| ( sK0(iPr_def_19,iPr_def_14) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_935]) ).
tcf(c_5349,plain,
( subq(iPr_def_19,e)
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_5197,c_49]) ).
tcf(c_5371,plain,
sK0(iPr_def_10,iPr_def_12) = e,
inference(global_subsumption_just,[status(thm)],[c_3893,c_65,c_66,c_71,c_753,c_1744,c_3891]) ).
tcf(c_5373,plain,
( subq(iPr_def_10,iPr_def_12)
| ~ mem(e,iPr_def_12) ),
inference(superposition,[status(thm)],[c_5371,c_49]) ).
tcf(c_5380,plain,
~ mem(e,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_5373,c_65,c_66,c_71,c_753,c_1744,c_2857]) ).
tcf(c_5387,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_13) = e )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_3894,c_51]) ).
tcf(c_5388,plain,
( mem(e,iPr_def_13)
| mem(e,iPr_def_12)
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(superposition,[status(thm)],[c_3894,c_1247]) ).
tcf(c_5390,plain,
( mem(e,iPr_def_13)
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5388,c_5380]) ).
tcf(c_5401,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_13) = e )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_3895,c_51]) ).
tcf(c_5402,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(superposition,[status(thm)],[c_3895,c_942]) ).
tcf(c_5427,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_16) = e )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3897,c_51]) ).
tcf(c_5428,plain,
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,iPr_def_16) = e ) ),
inference(superposition,[status(thm)],[c_3897,c_890]) ).
tcf(c_5429,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_16) = e ) ),
inference(superposition,[status(thm)],[c_3897,c_889]) ).
tcf(c_5442,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_17) = e )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_3899,c_51]) ).
tcf(c_5443,plain,
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_3899,c_939]) ).
tcf(c_5464,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| mem(sK0(iPr_def_22,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_50,c_1251]) ).
tcf(c_5465,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_17)
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_3899,c_1251]) ).
tcf(c_5466,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| mem(sK0(iPr_def_17,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_1067,c_1251]) ).
tcf(c_5468,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_17)
| ( sK0(iPr_def_10,iPr_def_22) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1251]) ).
tcf(c_5469,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_13,iPr_def_22) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_1251]) ).
tcf(c_5470,plain,
( mem(iPr_def_15,iPr_def_21)
| mem(iPr_def_15,iPr_def_17)
| ( sK0(iPr_def_16,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_1251]) ).
tcf(c_5474,plain,
( mem(iPr_def_24,iPr_def_21)
| mem(iPr_def_24,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_1251]) ).
tcf(c_5475,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| mem(sK0(iPr_def_21,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_1515,c_1251]) ).
tcf(c_5480,plain,
( mem(iPr_def_10,iPr_def_21)
| mem(iPr_def_10,iPr_def_17)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_1251]) ).
tcf(c_5567,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_22)
| mem(sK0(iPr_def_23,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_50,c_1252]) ).
tcf(c_5568,plain,
( mem(e,iPr_def_22)
| mem(e,iPr_def_16)
| ( sK0(iPr_def_10,iPr_def_16) = e ) ),
inference(superposition,[status(thm)],[c_3897,c_1252]) ).
tcf(c_5569,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| mem(sK0(iPr_def_16,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_1076,c_1252]) ).
tcf(c_5571,plain,
( mem(e,iPr_def_22)
| mem(e,iPr_def_16)
| ( sK0(iPr_def_10,iPr_def_23) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1252]) ).
tcf(c_5572,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_1252]) ).
tcf(c_5577,plain,
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_1252]) ).
tcf(c_5578,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| mem(sK0(iPr_def_22,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_1573,c_1252]) ).
tcf(c_5584,plain,
( mem(iPr_def_10,iPr_def_22)
| mem(iPr_def_10,iPr_def_16)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_1252]) ).
tcf(c_5620,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| mem(sK0(iPr_def_24,X0),iPr_def_19)
| mem(sK0(iPr_def_24,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_50,c_1253]) ).
tcf(c_5622,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_19)
| mem(sK0(iPr_def_18,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_1085,c_1253]) ).
tcf(c_5624,plain,
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,iPr_def_24) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_1253]) ).
tcf(c_5625,plain,
( mem(iPr_def_15,iPr_def_19)
| mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_1253]) ).
tcf(c_5626,plain,
( mem(iPr_def_14,iPr_def_19)
| mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_1253]) ).
tcf(c_5628,plain,
( mem(iPr_def_19,iPr_def_19)
| mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,iPr_def_24) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_1253]) ).
tcf(c_5629,plain,
( mem(iPr_def_24,iPr_def_19)
| mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_1253]) ).
tcf(c_5630,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_19)
| mem(sK0(iPr_def_19,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_1656,c_1253]) ).
tcf(c_5632,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_19)
| mem(sK0(iPr_def_12,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_2560,c_1253]) ).
tcf(c_5635,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_19)
| mem(sK0(iPr_def_10,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_2983,c_1253]) ).
tcf(c_5691,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_25)
| mem(sK0(iPr_def_26,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_50,c_1254]) ).
tcf(c_5693,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_1093,c_1254]) ).
tcf(c_5695,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_13)
| ( sK0(iPr_def_10,iPr_def_26) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1254]) ).
tcf(c_5697,plain,
( mem(iPr_def_15,iPr_def_25)
| mem(iPr_def_15,iPr_def_13)
| ( sK0(iPr_def_16,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_1254]) ).
tcf(c_5698,plain,
( mem(iPr_def_14,iPr_def_25)
| mem(iPr_def_14,iPr_def_13)
| ( sK0(iPr_def_17,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_1254]) ).
tcf(c_5699,plain,
( mem(iPr_def_18,iPr_def_25)
| mem(iPr_def_18,iPr_def_13)
| ( sK0(iPr_def_19,iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_1254]) ).
tcf(c_5700,plain,
( mem(iPr_def_19,iPr_def_25)
| mem(iPr_def_19,iPr_def_13)
| ( sK0(iPr_def_20,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_1254]) ).
tcf(c_5702,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_25)
| mem(sK0(iPr_def_25,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_1665,c_1254]) ).
tcf(c_5704,plain,
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_13)
| ( sK0(iPr_def_12,iPr_def_26) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_1254]) ).
tcf(c_5751,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_19) = e )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_3903,c_51]) ).
tcf(c_5752,plain,
( mem(e,iPr_def_20)
| mem(e,iPr_def_19)
| ( sK0(iPr_def_10,iPr_def_19) = e ) ),
inference(superposition,[status(thm)],[c_3903,c_1250]) ).
tcf(c_5753,plain,
( mem(e,iPr_def_22)
| ( sK0(iPr_def_10,iPr_def_19) = e ) ),
inference(superposition,[status(thm)],[c_3903,c_938]) ).
tcf(c_5817,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_20) = e )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_3905,c_51]) ).
tcf(c_5818,plain,
( mem(e,iPr_def_20)
| mem(e,iPr_def_19)
| ( sK0(iPr_def_10,iPr_def_20) = e ) ),
inference(superposition,[status(thm)],[c_3905,c_1250]) ).
tcf(c_5819,plain,
( mem(e,iPr_def_22)
| ( sK0(iPr_def_10,iPr_def_20) = e ) ),
inference(superposition,[status(thm)],[c_3905,c_938]) ).
tcf(c_5833,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_25) = e )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3907,c_51]) ).
tcf(c_5842,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_25) = e )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_3908,c_51]) ).
tcf(c_5843,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_13)
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_3908,c_1254]) ).
tcf(c_5844,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_3908,c_942]) ).
tcf(c_5858,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_21) = e )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_3911,c_51]) ).
tcf(c_5859,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_17)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_3911,c_1251]) ).
tcf(c_5860,plain,
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_3911,c_939]) ).
tcf(c_5874,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_22) = e )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3912,c_51]) ).
tcf(c_5875,plain,
( mem(e,iPr_def_22)
| mem(e,iPr_def_16)
| ( sK0(iPr_def_10,iPr_def_22) = e ) ),
inference(superposition,[status(thm)],[c_3912,c_1252]) ).
tcf(c_5876,plain,
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,iPr_def_22) = e ) ),
inference(superposition,[status(thm)],[c_3912,c_890]) ).
tcf(c_5877,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_22) = e ) ),
inference(superposition,[status(thm)],[c_3912,c_889]) ).
tcf(c_5893,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_23) = e )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3913,c_51]) ).
tcf(c_5902,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_23) = e )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3914,c_51]) ).
tcf(c_5911,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_26) = e )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3915,c_51]) ).
tcf(c_5923,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4089,c_51]) ).
tcf(c_5924,plain,
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_13)
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4089,c_1254]) ).
tcf(c_5925,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4089,c_942]) ).
tcf(c_5943,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4091,c_51]) ).
tcf(c_5944,plain,
( mem(iPr_def_10,iPr_def_22)
| mem(iPr_def_10,iPr_def_16)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4091,c_1252]) ).
tcf(c_5945,plain,
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4091,c_890]) ).
tcf(c_5946,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4091,c_889]) ).
tcf(c_5966,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4093,c_51]) ).
tcf(c_5967,plain,
( mem(iPr_def_10,iPr_def_21)
| mem(iPr_def_10,iPr_def_17)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4093,c_1251]) ).
tcf(c_5968,plain,
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4093,c_939]) ).
tcf(c_5982,plain,
( subq(iPr_def_10,iPr_def_13)
| ( e = iPr_def_12 )
| ~ mem(e,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3896,c_49]) ).
tcf(c_5999,plain,
! [X0: $i] :
( subq(iPr_def_27,X0)
| mem(sK0(iPr_def_27,X0),iPr_def_26)
| mem(sK0(iPr_def_27,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_50,c_1255]) ).
tcf(c_6000,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_26) = e ) ),
inference(superposition,[status(thm)],[c_3915,c_1255]) ).
tcf(c_6001,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_23) = e ) ),
inference(superposition,[status(thm)],[c_3914,c_1255]) ).
tcf(c_6002,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_27) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1255]) ).
tcf(c_6009,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_26)
| mem(sK0(iPr_def_23,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1345,c_1255]) ).
tcf(c_6014,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| mem(sK0(iPr_def_26,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1674,c_1255]) ).
tcf(c_6017,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| mem(sK0(iPr_def_16,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_2246,c_1255]) ).
tcf(c_6019,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| mem(sK0(iPr_def_22,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_2685,c_1255]) ).
tcf(c_6021,plain,
( mem(iPr_def_10,iPr_def_26)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_27) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_1255]) ).
tcf(c_6022,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| mem(sK0(iPr_def_17,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3026,c_1255]) ).
tcf(c_6023,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| mem(sK0(iPr_def_21,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3296,c_1255]) ).
tcf(c_6024,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| mem(sK0(iPr_def_19,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3462,c_1255]) ).
tcf(c_6025,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| mem(sK0(iPr_def_20,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3582,c_1255]) ).
tcf(c_6125,plain,
! [X0: $i] :
( subq(iPr_def_28,X0)
| mem(sK0(iPr_def_28,X0),iPr_def_25)
| mem(sK0(iPr_def_28,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_50,c_1256]) ).
tcf(c_6126,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_23) = e ) ),
inference(superposition,[status(thm)],[c_3913,c_1256]) ).
tcf(c_6127,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_3907,c_1256]) ).
tcf(c_6128,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_28) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_1256]) ).
tcf(c_6135,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_25)
| mem(sK0(iPr_def_23,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1358,c_1256]) ).
tcf(c_6140,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_25)
| mem(sK0(iPr_def_25,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1715,c_1256]) ).
tcf(c_6142,plain,
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2044,c_1256]) ).
tcf(c_6143,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_25)
| mem(sK0(iPr_def_16,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_2245,c_1256]) ).
tcf(c_6144,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_25)
| mem(sK0(iPr_def_22,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_2684,c_1256]) ).
tcf(c_6145,plain,
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_28) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4068,c_1256]) ).
tcf(c_6146,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_25)
| mem(sK0(iPr_def_17,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3025,c_1256]) ).
tcf(c_6147,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_25)
| mem(sK0(iPr_def_21,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3295,c_1256]) ).
tcf(c_6148,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3461,c_1256]) ).
tcf(c_6149,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_25)
| mem(sK0(iPr_def_20,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_3581,c_1256]) ).
tcf(c_6210,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) ),
inference(superposition,[status(thm)],[c_50,c_2891]) ).
tcf(c_6213,plain,
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_2891]) ).
tcf(c_6214,plain,
( mem(iPr_def_15,iPr_def_12)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_2891]) ).
tcf(c_6215,plain,
( mem(iPr_def_14,iPr_def_12)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_2891]) ).
tcf(c_6216,plain,
( mem(iPr_def_18,iPr_def_12)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_2891]) ).
tcf(c_6217,plain,
( mem(iPr_def_19,iPr_def_12)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_2891]) ).
tcf(c_6218,plain,
( mem(iPr_def_24,iPr_def_12)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_2891]) ).
tcf(c_6219,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_1497,c_2891]) ).
tcf(c_6220,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_2502,c_2891]) ).
tcf(c_6263,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_10) ),
inference(superposition,[status(thm)],[c_50,c_2900]) ).
tcf(c_6267,plain,
( mem(iPr_def_15,iPr_def_14)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_2900]) ).
tcf(c_6268,plain,
( mem(iPr_def_14,iPr_def_14)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_2900]) ).
tcf(c_6269,plain,
( mem(iPr_def_18,iPr_def_14)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_2900]) ).
tcf(c_6270,plain,
( mem(iPr_def_19,iPr_def_14)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_15) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_3837,c_2900]) ).
tcf(c_6271,plain,
( mem(iPr_def_24,iPr_def_14)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_2900]) ).
tcf(c_6272,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_10) ),
inference(superposition,[status(thm)],[c_1488,c_2900]) ).
tcf(c_6275,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_10) ),
inference(superposition,[status(thm)],[c_2503,c_2900]) ).
tcf(c_6314,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_6142,c_51]) ).
tcf(c_6315,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6142,c_800]) ).
tcf(c_6378,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6315,c_51]) ).
tcf(c_6379,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6315,c_1252]) ).
tcf(c_6393,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4097,c_51]) ).
tcf(c_6394,plain,
( mem(iPr_def_10,iPr_def_20)
| mem(iPr_def_10,iPr_def_19)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4097,c_1250]) ).
tcf(c_6395,plain,
( mem(iPr_def_10,iPr_def_22)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4097,c_938]) ).
tcf(c_6409,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4099,c_51]) ).
tcf(c_6410,plain,
( mem(iPr_def_10,iPr_def_20)
| mem(iPr_def_10,iPr_def_19)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4099,c_1250]) ).
tcf(c_6411,plain,
( mem(iPr_def_10,iPr_def_22)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4099,c_938]) ).
tcf(c_6428,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_6314]) ).
tcf(c_6441,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6379,c_51]) ).
tcf(c_6442,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6379,c_1251]) ).
tcf(c_6443,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6379,c_939]) ).
tcf(c_6471,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6428,c_51]) ).
tcf(c_6472,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_1252]) ).
tcf(c_6475,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,X0) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6428,c_51]) ).
tcf(c_6477,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_55]) ).
tcf(c_6478,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_58]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6428,c_61]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_60]) ).
tcf(c_6481,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_63]) ).
tcf(c_6483,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_2825]) ).
tcf(c_6484,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_793]) ).
tcf(c_6485,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_2828]) ).
tcf(c_6486,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_936]) ).
tcf(c_6491,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_886]) ).
tcf(c_6492,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_796]) ).
tcf(c_6493,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_885]) ).
tcf(c_6494,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_797]) ).
tcf(c_6495,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_798]) ).
tcf(c_6496,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_940]) ).
tcf(c_6497,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_884]) ).
tcf(c_6498,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_799]) ).
tcf(c_6499,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_937]) ).
tcf(c_6506,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_2891]) ).
tcf(c_6507,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_887]) ).
tcf(c_6508,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_1250]) ).
tcf(c_6509,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_938]) ).
tcf(c_6510,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_1251]) ).
tcf(c_6511,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_939]) ).
tcf(c_6515,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_1253]) ).
tcf(c_6520,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_6428]) ).
tcf(c_6698,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6491,c_51]) ).
tcf(c_6699,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6491,c_1252]) ).
tcf(c_6713,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6511,c_51]) ).
tcf(c_6714,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6511,c_1252]) ).
tcf(c_6728,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6520,c_51]) ).
tcf(c_6729,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6520,c_1252]) ).
tcf(c_6745,plain,
( subq(iPr_def_10,iPr_def_16)
| ( e = iPr_def_15 )
| ~ mem(e,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3898,c_49]) ).
tcf(c_6757,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_4081,c_52]) ).
tcf(c_6758,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_12,p(X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4081,c_1128]) ).
tcf(c_6759,plain,
( ( e = iPr_def_10 )
| ( sK0(iPr_def_12,p(e)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4081,c_1212]) ).
tcf(c_6780,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,p(X0)) = iPr_def_12 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4212,c_52]) ).
tcf(c_6781,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_13,p(X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_2818]) ).
tcf(c_6782,plain,
( ( e = iPr_def_12 )
| ( sK0(iPr_def_13,p(e)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_1212]) ).
tcf(c_6796,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 )
| ~ subq(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_4363,c_52]) ).
tcf(c_6797,plain,
( ( e = iPr_def_15 )
| ( sK0(iPr_def_16,p(e)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_1212]) ).
tcf(c_6798,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_2814]) ).
tcf(c_6799,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_1548]) ).
tcf(c_6800,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_1406]) ).
tcf(c_6801,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sK0(iPr_def_16,p(iPr_def_14)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_2549]) ).
tcf(c_6802,plain,
( ( iPr_def_10 = iPr_def_15 )
| ( sK0(iPr_def_16,p(iPr_def_10)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_2863]) ).
tcf(c_6803,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_16,p(iPr_def_12)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_2961]) ).
tcf(c_6804,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sK0(iPr_def_16,p(iPr_def_13)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_3198]) ).
tcf(c_6846,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 )
| ~ subq(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4559,c_52]) ).
tcf(c_6847,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_2817]) ).
tcf(c_6848,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_1522]) ).
tcf(c_6849,plain,
( ( e = iPr_def_14 )
| ( sK0(iPr_def_17,p(e)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_1212]) ).
tcf(c_6850,plain,
( ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_17,p(iPr_def_12)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_2098]) ).
tcf(c_6851,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK0(iPr_def_17,p(iPr_def_13)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_2535]) ).
tcf(c_6881,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4101,c_51]) ).
tcf(c_6882,plain,
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4101,c_1256]) ).
tcf(c_6894,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4102,c_51]) ).
tcf(c_6895,plain,
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_13)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4102,c_1254]) ).
tcf(c_6896,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4102,c_942]) ).
tcf(c_6923,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4105,c_51]) ).
tcf(c_6924,plain,
( mem(iPr_def_10,iPr_def_21)
| mem(iPr_def_10,iPr_def_17)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4105,c_1251]) ).
tcf(c_6925,plain,
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4105,c_939]) ).
tcf(c_6942,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4106,c_51]) ).
tcf(c_6943,plain,
( mem(iPr_def_10,iPr_def_22)
| mem(iPr_def_10,iPr_def_16)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4106,c_1252]) ).
tcf(c_6944,plain,
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4106,c_890]) ).
tcf(c_6945,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4106,c_889]) ).
tcf(c_6970,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6483,c_51]) ).
tcf(c_6971,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6483,c_1252]) ).
tcf(c_6989,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6486,c_51]) ).
tcf(c_6990,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6486,c_1252]) ).
tcf(c_7018,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6493,c_939]) ).
tcf(c_7025,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_7018,c_51]) ).
tcf(c_7026,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7018,c_1252]) ).
tcf(c_7042,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_6496,c_51]) ).
tcf(c_7043,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6496,c_1253]) ).
tcf(c_7059,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6497,c_51]) ).
tcf(c_7060,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6497,c_1252]) ).
tcf(c_7081,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6499,c_51]) ).
tcf(c_7082,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6499,c_1252]) ).
tcf(c_7103,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_6507,c_51]) ).
tcf(c_7104,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6507,c_1253]) ).
tcf(c_7130,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6509,c_939]) ).
tcf(c_7137,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_7130,c_51]) ).
tcf(c_7138,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7130,c_1252]) ).
tcf(c_7152,plain,
( subq(iPr_def_10,iPr_def_17)
| ( e = iPr_def_14 )
| ~ mem(e,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3900,c_49]) ).
tcf(c_7164,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(X0,iPr_def_24) ),
inference(superposition,[status(thm)],[c_4869,c_52]) ).
tcf(c_7165,plain,
( ( e = iPr_def_24 )
| ( sK0(iPr_def_25,p(e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_1212]) ).
tcf(c_7166,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_2812]) ).
tcf(c_7167,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_1757]) ).
tcf(c_7168,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_1411]) ).
tcf(c_7169,plain,
( ( iPr_def_18 = iPr_def_24 )
| ( sK0(iPr_def_25,p(iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_2321]) ).
tcf(c_7170,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sK0(iPr_def_25,p(iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_2712]) ).
tcf(c_7171,plain,
( ( iPr_def_10 = iPr_def_24 )
| ( sK0(iPr_def_25,p(iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_2997]) ).
tcf(c_7172,plain,
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,p(iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_3228]) ).
tcf(c_7232,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_5051,c_52]) ).
tcf(c_7233,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_1133]) ).
tcf(c_7234,plain,
( ( e = iPr_def_19 )
| ( sK0(iPr_def_20,p(e)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_1212]) ).
tcf(c_7248,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 )
| ~ subq(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_5202,c_52]) ).
tcf(c_7249,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_2813]) ).
tcf(c_7250,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_1401]) ).
tcf(c_7251,plain,
( ( e = iPr_def_18 )
| ( sK0(iPr_def_19,p(e)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_1212]) ).
tcf(c_7252,plain,
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_19,p(iPr_def_12)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_2592]) ).
tcf(c_7253,plain,
( ( iPr_def_10 = iPr_def_18 )
| ( sK0(iPr_def_19,p(iPr_def_10)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_2859]) ).
tcf(c_7345,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_3886,c_51]) ).
tcf(c_7346,plain,
! [X0: $i] : sK0(iPr_def_10,m(e,X0)) = e,
inference(superposition,[status(thm)],[c_3886,c_53]) ).
tcf(c_7347,plain,
! [X0: $i,X1: $i] :
( ( X0 = e )
| ( sK0(iPr_def_10,m(s(X0),X1)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_55]) ).
tcf(c_7348,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_3886,c_58]) ).
tcf(c_7349,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_3886,c_61]) ).
tcf(c_7350,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_3886,c_60]) ).
tcf(c_7358,plain,
! [X0: $i] :
( mem(e,iPr_def_14)
| ( sK0(iPr_def_10,m(iPr_def_13,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_934]) ).
tcf(c_7359,plain,
! [X0: $i] :
( mem(e,iPr_def_26)
| ( sK0(iPr_def_10,m(iPr_def_13,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_888]) ).
tcf(c_7360,plain,
! [X0: $i] :
( ( e = iPr_def_12 )
| ( sK0(iPr_def_10,m(iPr_def_13,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_795]) ).
tcf(c_7361,plain,
! [X0: $i] :
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,m(iPr_def_16,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_886]) ).
tcf(c_7362,plain,
! [X0: $i] :
( ( e = iPr_def_15 )
| ( sK0(iPr_def_10,m(iPr_def_16,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_796]) ).
tcf(c_7363,plain,
! [X0: $i] :
( mem(e,iPr_def_22)
| ( sK0(iPr_def_10,m(iPr_def_17,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_885]) ).
tcf(c_7364,plain,
! [X0: $i] :
( ( e = iPr_def_14 )
| ( sK0(iPr_def_10,m(iPr_def_17,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_797]) ).
tcf(c_7365,plain,
! [X0: $i] :
( ( e = iPr_def_18 )
| ( sK0(iPr_def_10,m(iPr_def_19,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_798]) ).
tcf(c_7367,plain,
! [X0: $i] :
( mem(e,iPr_def_21)
| ( sK0(iPr_def_10,m(iPr_def_19,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_884]) ).
tcf(c_7368,plain,
! [X0: $i] :
( ( e = iPr_def_19 )
| ( sK0(iPr_def_10,m(iPr_def_20,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_799]) ).
tcf(c_7369,plain,
! [X0: $i] :
( mem(e,iPr_def_21)
| ( sK0(iPr_def_10,m(iPr_def_20,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_937]) ).
tcf(c_7370,plain,
! [X0: $i] :
( ( e = iPr_def_24 )
| ( sK0(iPr_def_10,m(iPr_def_25,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_800]) ).
tcf(c_7371,plain,
! [X0: $i] :
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,m(iPr_def_25,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_943]) ).
tcf(c_7372,plain,
! [X0: $i] :
( mem(e,iPr_def_26)
| ( sK0(iPr_def_10,m(iPr_def_25,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_941]) ).
tcf(c_7373,plain,
! [X0: $i] : sK0(iPr_def_10,m(iPr_def_12,X0)) = e,
inference(superposition,[status(thm)],[c_3886,c_5380]) ).
tcf(c_7374,plain,
! [X0: $i] :
( mem(e,iPr_def_13)
| mem(e,iPr_def_12)
| ( sK0(iPr_def_10,m(iPr_def_14,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1247]) ).
tcf(c_7379,plain,
! [X0: $i] :
( mem(e,iPr_def_20)
| mem(e,iPr_def_19)
| ( sK0(iPr_def_10,m(iPr_def_21,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1250]) ).
tcf(c_7380,plain,
! [X0: $i] :
( mem(e,iPr_def_22)
| ( sK0(iPr_def_10,m(iPr_def_21,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_938]) ).
tcf(c_7381,plain,
! [X0: $i] :
( mem(e,iPr_def_21)
| mem(e,iPr_def_17)
| ( sK0(iPr_def_10,m(iPr_def_22,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1251]) ).
tcf(c_7382,plain,
! [X0: $i] :
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,m(iPr_def_22,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_939]) ).
tcf(c_7383,plain,
! [X0: $i] :
( mem(e,iPr_def_22)
| mem(e,iPr_def_16)
| ( sK0(iPr_def_10,m(iPr_def_23,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1252]) ).
tcf(c_7384,plain,
! [X0: $i] :
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,m(iPr_def_23,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_890]) ).
tcf(c_7385,plain,
! [X0: $i] :
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,m(iPr_def_23,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_889]) ).
tcf(c_7387,plain,
! [X0: $i] :
( mem(e,iPr_def_25)
| mem(e,iPr_def_13)
| ( sK0(iPr_def_10,m(iPr_def_26,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1254]) ).
tcf(c_7388,plain,
! [X0: $i] :
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,m(iPr_def_26,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_942]) ).
tcf(c_7389,plain,
! [X0: $i] :
( mem(e,iPr_def_26)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,m(iPr_def_27,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1255]) ).
tcf(c_7390,plain,
! [X0: $i] :
( mem(e,iPr_def_25)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,m(iPr_def_28,X0)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_1256]) ).
tcf(c_7451,plain,
! [X0: $i] :
( mem(e,iPr_def_13)
| ( sK0(iPr_def_10,m(iPr_def_14,X0)) = e ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7374,c_5380]) ).
tcf(c_7683,plain,
! [X0: $i] :
( subq(iPr_def_10,m(e,X0))
| ~ mem(e,m(e,X0)) ),
inference(superposition,[status(thm)],[c_7346,c_49]) ).
tcf(c_7724,plain,
! [X0: $i] :
( subq(iPr_def_10,m(iPr_def_12,X0))
| ~ mem(e,m(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_7373,c_49]) ).
tcf(c_7739,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4107,c_51]) ).
tcf(c_7740,plain,
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4107,c_1256]) ).
tcf(c_7757,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4108,c_51]) ).
tcf(c_7758,plain,
( mem(iPr_def_10,iPr_def_26)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4108,c_1255]) ).
tcf(c_7815,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_6442,c_51]) ).
tcf(c_7816,plain,
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6442,c_1250]) ).
tcf(c_7817,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6442,c_938]) ).
tcf(c_7839,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_6481,c_52]) ).
tcf(c_7841,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,p(e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6481,c_1212]) ).
tcf(c_7860,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6484,c_51]) ).
tcf(c_7861,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6484,c_1252]) ).
tcf(c_7890,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6485,c_51]) ).
tcf(c_7891,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6485,c_1252]) ).
tcf(c_7911,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6495,c_51]) ).
tcf(c_7912,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6495,c_1252]) ).
tcf(c_7930,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6498,c_51]) ).
tcf(c_7931,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6498,c_1252]) ).
tcf(c_7956,plain,
( subq(iPr_def_10,iPr_def_19)
| ( e = iPr_def_18 )
| ~ mem(e,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3901,c_49]) ).
tcf(c_7976,plain,
! [X0: $i] :
( subq(iPr_def_12,s(X0))
| ( X0 = iPr_def_10 )
| ~ mem(iPr_def_10,s(X0)) ),
inference(superposition,[status(thm)],[c_4077,c_49]) ).
tcf(c_7990,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_4080,c_51]) ).
tcf(c_7991,plain,
! [X0: $i] : sK0(iPr_def_12,m(e,X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4080,c_53]) ).
tcf(c_7992,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_4080,c_55]) ).
tcf(c_7993,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_4080,c_58]) ).
tcf(c_7994,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_4080,c_61]) ).
tcf(c_7995,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_4080,c_60]) ).
tcf(c_7996,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_4080,c_63]) ).
tcf(c_7999,plain,
! [X0: $i] :
( ( e = iPr_def_10 )
| ( sK0(iPr_def_12,m(iPr_def_10,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_793]) ).
tcf(c_8004,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_26)
| ( sK0(iPr_def_12,m(iPr_def_13,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_888]) ).
tcf(c_8005,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_12,m(iPr_def_13,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_795]) ).
tcf(c_8006,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,m(iPr_def_16,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_886]) ).
tcf(c_8007,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_15 )
| ( sK0(iPr_def_12,m(iPr_def_16,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_796]) ).
tcf(c_8008,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_22)
| ( sK0(iPr_def_12,m(iPr_def_17,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_885]) ).
tcf(c_8009,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_14 )
| ( sK0(iPr_def_12,m(iPr_def_17,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_797]) ).
tcf(c_8010,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_18 )
| ( sK0(iPr_def_12,m(iPr_def_19,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_798]) ).
tcf(c_8012,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_21)
| ( sK0(iPr_def_12,m(iPr_def_19,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_884]) ).
tcf(c_8013,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_4080,c_799]) ).
tcf(c_8014,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_21)
| ( sK0(iPr_def_12,m(iPr_def_20,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_937]) ).
tcf(c_8015,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_24 )
| ( sK0(iPr_def_12,m(iPr_def_25,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_800]) ).
tcf(c_8016,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,m(iPr_def_25,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_943]) ).
tcf(c_8017,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_26)
| ( sK0(iPr_def_12,m(iPr_def_25,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_941]) ).
tcf(c_8023,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_20)
| mem(iPr_def_10,iPr_def_19)
| ( sK0(iPr_def_12,m(iPr_def_21,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_1250]) ).
tcf(c_8024,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_22)
| ( sK0(iPr_def_12,m(iPr_def_21,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_938]) ).
tcf(c_8025,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_21)
| mem(iPr_def_10,iPr_def_17)
| ( sK0(iPr_def_12,m(iPr_def_22,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_1251]) ).
tcf(c_8026,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,m(iPr_def_22,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_939]) ).
tcf(c_8027,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_22)
| mem(iPr_def_10,iPr_def_16)
| ( sK0(iPr_def_12,m(iPr_def_23,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_1252]) ).
tcf(c_8028,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,m(iPr_def_23,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_890]) ).
tcf(c_8029,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,m(iPr_def_23,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_889]) ).
tcf(c_8031,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_13)
| ( sK0(iPr_def_12,m(iPr_def_26,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_1254]) ).
tcf(c_8032,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,m(iPr_def_26,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_942]) ).
tcf(c_8033,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_26)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,m(iPr_def_27,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_1255]) ).
tcf(c_8034,plain,
! [X0: $i] :
( mem(iPr_def_10,iPr_def_25)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,m(iPr_def_28,X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_1256]) ).
tcf(c_8155,plain,
! [X0: $i] :
( ~ mem(iPr_def_12,iPr_def_13)
| ~ mem(iPr_def_12,m(X0,iPr_def_13)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_8182,plain,
! [X0: $i] :
( ~ mem(iPr_def_15,iPr_def_16)
| ~ mem(iPr_def_15,m(X0,iPr_def_16)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_8202,plain,
! [X0: $i] :
( subq(iPr_def_12,m(e,X0))
| ~ mem(iPr_def_10,m(e,X0)) ),
inference(superposition,[status(thm)],[c_7991,c_49]) ).
tcf(c_8218,plain,
! [X0: $i] :
( ~ mem(iPr_def_14,iPr_def_17)
| ~ mem(iPr_def_14,m(X0,iPr_def_17)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_8234,plain,
! [X0: $i] :
( subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ mem(iPr_def_12,s(X0)) ),
inference(superposition,[status(thm)],[c_4208,c_49]) ).
tcf(c_8248,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_26) = iPr_def_10 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4109,c_51]) ).
tcf(c_8249,plain,
( mem(iPr_def_10,iPr_def_26)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_26) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4109,c_1255]) ).
tcf(c_8261,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4214,c_51]) ).
tcf(c_8262,plain,
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4214,c_2891]) ).
tcf(c_8263,plain,
( mem(iPr_def_12,iPr_def_24)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4214,c_887]) ).
tcf(c_8293,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4217,c_51]) ).
tcf(c_8294,plain,
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4217,c_2891]) ).
tcf(c_8295,plain,
( mem(iPr_def_12,iPr_def_24)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4217,c_887]) ).
tcf(c_8309,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_16) = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4222,c_51]) ).
tcf(c_8310,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_16) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4222,c_1252]) ).
tcf(c_8327,plain,
! [X0: $i] :
( ~ mem(iPr_def_18,iPr_def_19)
| ~ mem(iPr_def_18,m(X0,iPr_def_19)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_8349,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6477,c_51]) ).
tcf(c_8350,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6477,c_1252]) ).
tcf(c_8369,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6480,c_51]) ).
tcf(c_8370,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_1252]) ).
tcf(c_8373,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,m(X0,X2)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6480,c_51]) ).
tcf(c_8374,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(e,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_53]) ).
tcf(c_8375,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,m(s(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_55]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(u(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_58]) ).
tcf(c_8377,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,X0),X2)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6480,c_61]) ).
tcf(c_8378,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_60]) ).
tcf(c_8379,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_63]) ).
tcf(c_8381,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_2825]) ).
tcf(c_8382,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_793]) ).
tcf(c_8383,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_2828]) ).
tcf(c_8384,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_936]) ).
tcf(c_8389,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_886]) ).
tcf(c_8390,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,m(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_796]) ).
tcf(c_8391,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_885]) ).
tcf(c_8392,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_797]) ).
tcf(c_8393,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_798]) ).
tcf(c_8394,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_940]) ).
tcf(c_8395,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_884]) ).
tcf(c_8396,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_799]) ).
tcf(c_8397,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_937]) ).
tcf(c_8404,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_2891]) ).
tcf(c_8405,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_887]) ).
tcf(c_8406,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_1250]) ).
tcf(c_8407,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_938]) ).
tcf(c_8408,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,m(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_1251]) ).
tcf(c_8409,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_939]) ).
tcf(c_8413,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_24,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_1253]) ).
tcf(c_8418,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_6480]) ).
tcf(c_8595,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_8620,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6472,c_51]) ).
tcf(c_8621,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_1251]) ).
tcf(c_8622,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_939]) ).
tcf(c_8623,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,X0) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6472,c_51]) ).
tcf(c_8626,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_58]) ).
tcf(c_8627,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6472,c_61]) ).
tcf(c_8629,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_63]) ).
tcf(c_8640,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_796]) ).
tcf(c_8642,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_797]) ).
tcf(c_8644,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_940]) ).
tcf(c_8654,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_2891]) ).
tcf(c_8655,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_887]) ).
tcf(c_8656,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_1250]) ).
tcf(c_8663,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_1253]) ).
tcf(c_8748,plain,
! [X0: $i] :
( ~ mem(iPr_def_24,iPr_def_25)
| ~ mem(iPr_def_24,m(X0,iPr_def_25)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_8778,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,s(iPr_def_12))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54,c_6479]) ).
tcf(c_8779,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(X0,X2))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_56,c_6479]) ).
tcf(c_8780,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(X2,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_57,c_6479]) ).
tcf(c_8781,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(X1,m(X0,X2))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_59,c_6479]) ).
tcf(c_8782,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,p(X0))) = iPr_def_24 )
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_62,c_6479]) ).
tcf(c_8783,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_13)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_755,c_6479]) ).
tcf(c_8784,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1094,c_6479]) ).
tcf(c_8785,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_6479]) ).
tcf(c_8786,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,X0)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_6479]) ).
tcf(c_8787,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_6479]) ).
tcf(c_8788,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1898,c_6479]) ).
tcf(c_8789,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1446,c_6479]) ).
tcf(c_8790,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1523,c_6479]) ).
tcf(c_8791,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1675,c_6479]) ).
tcf(c_8792,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2044,c_6479]) ).
tcf(c_8793,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4217,c_6479]) ).
tcf(c_8794,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_6479]) ).
tcf(c_8795,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_6479]) ).
tcf(c_8796,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6477,c_6479]) ).
tcf(c_8811,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_6479]) ).
tcf(c_8813,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_6479]) ).
tcf(c_8815,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6507,c_6479]) ).
tcf(c_8816,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6496,c_6479]) ).
tcf(c_8817,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6442,c_6479]) ).
tcf(c_8818,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6142,c_6479]) ).
tcf(c_8994,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8792,c_51]) ).
tcf(c_8995,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8792,c_1252]) ).
tcf(c_8998,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8792,c_6479]) ).
tcf(c_9026,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8818,c_51]) ).
tcf(c_9027,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8818,c_1252]) ).
tcf(c_9030,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8818,c_6479]) ).
tcf(c_9048,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_8995,c_51]) ).
tcf(c_9049,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8995,c_1251]) ).
tcf(c_9050,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8995,c_939]) ).
tcf(c_9051,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8995,c_6479]) ).
tcf(c_9074,plain,
( subq(iPr_def_10,iPr_def_20)
| ( e = iPr_def_19 )
| ~ mem(e,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3904,c_49]) ).
tcf(c_9086,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_13,m(X0,X2)) = iPr_def_12 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_4211,c_51]) ).
tcf(c_9087,plain,
! [X0: $i] : sK0(iPr_def_13,m(e,X0)) = iPr_def_12,
inference(superposition,[status(thm)],[c_4211,c_53]) ).
tcf(c_9088,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,m(s(X0),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_55]) ).
tcf(c_9089,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(u(X0,X1),X2)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_58]) ).
tcf(c_9090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(m(X1,X0),X2)) = iPr_def_12 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_4211,c_61]) ).
tcf(c_9091,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(m(X0,X1),X2)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_60]) ).
tcf(c_9092,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_63]) ).
tcf(c_9094,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,m(iPr_def_10,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_2825]) ).
tcf(c_9095,plain,
! [X0: $i] :
( ( e = iPr_def_12 )
| ( sK0(iPr_def_13,m(iPr_def_10,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_793]) ).
tcf(c_9096,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_13,m(iPr_def_12,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_2828]) ).
tcf(c_9097,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,m(iPr_def_12,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_936]) ).
tcf(c_9102,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(iPr_def_16,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_886]) ).
tcf(c_9103,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_13,m(iPr_def_16,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_796]) ).
tcf(c_9104,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_13,m(iPr_def_17,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_885]) ).
tcf(c_9105,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_13,m(iPr_def_17,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_797]) ).
tcf(c_9106,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_13,m(iPr_def_19,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_798]) ).
tcf(c_9107,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| ( sK0(iPr_def_13,m(iPr_def_19,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_940]) ).
tcf(c_9108,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_13,m(iPr_def_19,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_884]) ).
tcf(c_9109,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_13,m(iPr_def_20,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_799]) ).
tcf(c_9110,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_13,m(iPr_def_20,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_937]) ).
tcf(c_9111,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,m(iPr_def_25,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_800]) ).
tcf(c_9117,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_13,m(iPr_def_18,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_2891]) ).
tcf(c_9118,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| ( sK0(iPr_def_13,m(iPr_def_18,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_887]) ).
tcf(c_9119,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_13,m(iPr_def_21,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_1250]) ).
tcf(c_9120,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_13,m(iPr_def_21,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_938]) ).
tcf(c_9121,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_13,m(iPr_def_22,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_1251]) ).
tcf(c_9122,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(iPr_def_22,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_939]) ).
tcf(c_9123,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(iPr_def_23,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_1252]) ).
tcf(c_9126,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,m(iPr_def_24,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_1253]) ).
tcf(c_9131,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,X0)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_6479]) ).
tcf(c_9311,plain,
! [X0: $i] :
( subq(iPr_def_13,m(e,X0))
| ~ mem(iPr_def_12,m(e,X0)) ),
inference(superposition,[status(thm)],[c_9087,c_49]) ).
tcf(c_9332,plain,
! [X0: $i] :
( subq(iPr_def_16,s(X0))
| ( X0 = iPr_def_15 )
| ~ mem(iPr_def_15,s(X0)) ),
inference(superposition,[status(thm)],[c_4359,c_49]) ).
tcf(c_9345,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_15,X1)
| ( sK0(iPr_def_16,m(X0,X2)) = iPr_def_15 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_4362,c_51]) ).
tcf(c_9346,plain,
! [X0: $i] : sK0(iPr_def_16,m(e,X0)) = iPr_def_15,
inference(superposition,[status(thm)],[c_4362,c_53]) ).
tcf(c_9347,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( sK0(iPr_def_16,m(s(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_55]) ).
tcf(c_9348,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_15,X1)
| mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,m(u(X0,X1),X2)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_58]) ).
tcf(c_9349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_16,m(m(X1,X0),X2)) = iPr_def_15 )
| ~ mem(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4362,c_61]) ).
tcf(c_9350,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,m(m(X0,X1),X2)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_60]) ).
tcf(c_9351,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_63]) ).
tcf(c_9352,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_15)
| ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_2826]) ).
tcf(c_9353,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_2825]) ).
tcf(c_9354,plain,
! [X0: $i] :
( ( e = iPr_def_15 )
| ( sK0(iPr_def_16,m(iPr_def_10,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_793]) ).
tcf(c_9355,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_15 )
| ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_2828]) ).
tcf(c_9356,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_936]) ).
tcf(c_9357,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_14)
| ( sK0(iPr_def_16,m(iPr_def_12,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_881]) ).
tcf(c_9358,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_14)
| ( sK0(iPr_def_16,m(iPr_def_13,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_934]) ).
tcf(c_9359,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_26)
| ( sK0(iPr_def_16,m(iPr_def_13,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_888]) ).
tcf(c_9360,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_16,m(iPr_def_13,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_795]) ).
tcf(c_9363,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_22)
| ( sK0(iPr_def_16,m(iPr_def_17,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_885]) ).
tcf(c_9364,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( sK0(iPr_def_16,m(iPr_def_17,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_797]) ).
tcf(c_9365,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( sK0(iPr_def_16,m(iPr_def_19,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_798]) ).
tcf(c_9366,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_24)
| ( sK0(iPr_def_16,m(iPr_def_19,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_940]) ).
tcf(c_9367,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_21)
| ( sK0(iPr_def_16,m(iPr_def_19,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_884]) ).
tcf(c_9368,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_19 )
| ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_799]) ).
tcf(c_9369,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_21)
| ( sK0(iPr_def_16,m(iPr_def_20,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_937]) ).
tcf(c_9370,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( sK0(iPr_def_16,m(iPr_def_25,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_800]) ).
tcf(c_9372,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_26)
| ( sK0(iPr_def_16,m(iPr_def_25,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_941]) ).
tcf(c_9373,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_13)
| mem(iPr_def_15,iPr_def_12)
| ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_1247]) ).
tcf(c_9374,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_15)
| ( sK0(iPr_def_16,m(iPr_def_14,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_935]) ).
tcf(c_9375,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_14)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,m(iPr_def_15,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_2900]) ).
tcf(c_9376,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_12)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,m(iPr_def_18,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_2891]) ).
tcf(c_9377,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_24)
| ( sK0(iPr_def_16,m(iPr_def_18,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_887]) ).
tcf(c_9378,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_20)
| mem(iPr_def_15,iPr_def_19)
| ( sK0(iPr_def_16,m(iPr_def_21,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_1250]) ).
tcf(c_9379,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_22)
| ( sK0(iPr_def_16,m(iPr_def_21,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_938]) ).
tcf(c_9380,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_21)
| mem(iPr_def_15,iPr_def_17)
| ( sK0(iPr_def_16,m(iPr_def_22,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_1251]) ).
tcf(c_9385,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_19)
| mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,m(iPr_def_24,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_1253]) ).
tcf(c_9386,plain,
! [X0: $i] :
( mem(iPr_def_15,iPr_def_25)
| mem(iPr_def_15,iPr_def_13)
| ( sK0(iPr_def_16,m(iPr_def_26,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_1254]) ).
tcf(c_9587,plain,
! [X0: $i] :
( subq(iPr_def_16,m(e,X0))
| ~ mem(iPr_def_15,m(e,X0)) ),
inference(superposition,[status(thm)],[c_9346,c_49]) ).
tcf(c_9599,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4224,c_51]) ).
tcf(c_9600,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4224,c_1251]) ).
tcf(c_9601,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4224,c_939]) ).
tcf(c_9620,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4227,c_51]) ).
tcf(c_9621,plain,
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4227,c_1253]) ).
tcf(c_9622,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4227,c_6479]) ).
tcf(c_9650,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4228,c_51]) ).
tcf(c_9651,plain,
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4228,c_1250]) ).
tcf(c_9652,plain,
( mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4228,c_938]) ).
tcf(c_9653,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4228,c_6479]) ).
tcf(c_9705,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_9027,c_51]) ).
tcf(c_9706,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9027,c_1251]) ).
tcf(c_9707,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9027,c_939]) ).
tcf(c_9708,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9027,c_6479]) ).
tcf(c_9746,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_9049,c_51]) ).
tcf(c_9747,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9049,c_1250]) ).
tcf(c_9748,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9049,c_938]) ).
tcf(c_9749,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_21)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9049,c_6479]) ).
tcf(c_9795,plain,
( subq(iPr_def_10,iPr_def_25)
| ( e = iPr_def_24 )
| ~ mem(e,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3906,c_49]) ).
tcf(c_9815,plain,
! [X0: $i] :
( subq(iPr_def_17,s(X0))
| ( X0 = iPr_def_14 )
| ~ mem(iPr_def_14,s(X0)) ),
inference(superposition,[status(thm)],[c_4555,c_49]) ).
tcf(c_9829,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_14,X1)
| ( sK0(iPr_def_17,m(X0,X2)) = iPr_def_14 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_4558,c_51]) ).
tcf(c_9830,plain,
! [X0: $i] : sK0(iPr_def_17,m(e,X0)) = iPr_def_14,
inference(superposition,[status(thm)],[c_4558,c_53]) ).
tcf(c_9831,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( sK0(iPr_def_17,m(s(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_55]) ).
tcf(c_9832,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_14,X1)
| mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,m(u(X0,X1),X2)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_58]) ).
tcf(c_9833,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_17,m(m(X1,X0),X2)) = iPr_def_14 )
| ~ mem(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4558,c_61]) ).
tcf(c_9834,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,m(m(X0,X1),X2)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_60]) ).
tcf(c_9835,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_63]) ).
tcf(c_9836,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_15)
| ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_2826]) ).
tcf(c_9837,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_2825]) ).
tcf(c_9838,plain,
! [X0: $i] :
( ( e = iPr_def_14 )
| ( sK0(iPr_def_17,m(iPr_def_10,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_793]) ).
tcf(c_9839,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_14 )
| ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_2828]) ).
tcf(c_9840,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_936]) ).
tcf(c_9841,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_14)
| ( sK0(iPr_def_17,m(iPr_def_12,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_881]) ).
tcf(c_9842,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_14)
| ( sK0(iPr_def_17,m(iPr_def_13,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_934]) ).
tcf(c_9843,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_26)
| ( sK0(iPr_def_17,m(iPr_def_13,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_888]) ).
tcf(c_9844,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_17,m(iPr_def_13,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_795]) ).
tcf(c_9846,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( sK0(iPr_def_17,m(iPr_def_16,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_796]) ).
tcf(c_9849,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_18 )
| ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_798]) ).
tcf(c_9850,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_24)
| ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_940]) ).
tcf(c_9851,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_21)
| ( sK0(iPr_def_17,m(iPr_def_19,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_884]) ).
tcf(c_9852,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_19 )
| ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_799]) ).
tcf(c_9853,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_21)
| ( sK0(iPr_def_17,m(iPr_def_20,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_937]) ).
tcf(c_9854,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_24 )
| ( sK0(iPr_def_17,m(iPr_def_25,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_800]) ).
tcf(c_9856,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_26)
| ( sK0(iPr_def_17,m(iPr_def_25,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_941]) ).
tcf(c_9857,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_13)
| mem(iPr_def_14,iPr_def_12)
| ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_1247]) ).
tcf(c_9858,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_15)
| ( sK0(iPr_def_17,m(iPr_def_14,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_935]) ).
tcf(c_9859,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_14)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,m(iPr_def_15,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_2900]) ).
tcf(c_9860,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_12)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,m(iPr_def_18,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_2891]) ).
tcf(c_9861,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_24)
| ( sK0(iPr_def_17,m(iPr_def_18,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_887]) ).
tcf(c_9862,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_20)
| mem(iPr_def_14,iPr_def_19)
| ( sK0(iPr_def_17,m(iPr_def_21,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_1250]) ).
tcf(c_9869,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_19)
| mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,m(iPr_def_24,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_1253]) ).
tcf(c_9870,plain,
! [X0: $i] :
( mem(iPr_def_14,iPr_def_25)
| mem(iPr_def_14,iPr_def_13)
| ( sK0(iPr_def_17,m(iPr_def_26,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_1254]) ).
tcf(c_10049,plain,
! [X0: $i] :
( subq(iPr_def_17,m(e,X0))
| ~ mem(iPr_def_14,m(e,X0)) ),
inference(superposition,[status(thm)],[c_9830,c_49]) ).
tcf(c_10070,plain,
! [X0: $i] :
( subq(iPr_def_25,s(X0))
| ( X0 = iPr_def_24 )
| ~ mem(iPr_def_24,s(X0)) ),
inference(superposition,[status(thm)],[c_4865,c_49]) ).
tcf(c_10083,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4230,c_51]) ).
tcf(c_10084,plain,
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4230,c_1250]) ).
tcf(c_10085,plain,
( mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4230,c_938]) ).
tcf(c_10086,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4230,c_6479]) ).
tcf(c_10144,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4235,c_51]) ).
tcf(c_10145,plain,
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4235,c_1253]) ).
tcf(c_10146,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4235,c_6479]) ).
tcf(c_10166,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4236,c_51]) ).
tcf(c_10167,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4236,c_1251]) ).
tcf(c_10168,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4236,c_939]) ).
tcf(c_10199,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ mem(iPr_def_10,p(X0)) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_10200,plain,
( subq(iPr_def_10,e)
| ~ mem(iPr_def_10,p(e)) ),
inference(instantiation,[status(thm)],[c_10199]) ).
tcf(c_10208,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_22) = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4237,c_51]) ).
tcf(c_10209,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_22) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4237,c_1252]) ).
tcf(c_10232,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6506,c_51]) ).
tcf(c_10253,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6515,c_51]) ).
tcf(c_10285,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(p(X0),X1)
| ( sK0(iPr_def_25,sK0(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_773,c_6475]) ).
tcf(c_10287,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 )
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_791,c_6475]) ).
tcf(c_10288,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_12,p(X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4081,c_6475]) ).
tcf(c_10289,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_10,X0) = e ) ),
inference(superposition,[status(thm)],[c_831,c_6475]) ).
tcf(c_10290,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6481,c_6475]) ).
tcf(c_10291,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,p(X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_6475]) ).
tcf(c_10292,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_12,X0) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_2819,c_6475]) ).
tcf(c_10293,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_849,c_6475]) ).
tcf(c_10294,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ( sK0(iPr_def_16,X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_858,c_6475]) ).
tcf(c_10295,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ( sK0(iPr_def_17,X0) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_867,c_6475]) ).
tcf(c_10296,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_20,p(X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_6475]) ).
tcf(c_10297,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_19,X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1469,c_6475]) ).
tcf(c_10298,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_6475]) ).
tcf(c_10299,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ( sK0(iPr_def_20,X0) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1466,c_6475]) ).
tcf(c_10300,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_25) = iPr_def_24 )
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_6475]) ).
tcf(c_10301,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 )
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_6475]) ).
tcf(c_10302,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_15) = iPr_def_24 )
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_6475]) ).
tcf(c_10303,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_6475]) ).
tcf(c_10325,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2991,c_6475]) ).
tcf(c_10326,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3005,c_6475]) ).
tcf(c_10332,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3215,c_6475]) ).
tcf(c_10333,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3275,c_6475]) ).
tcf(c_10338,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3459,c_6475]) ).
tcf(c_10341,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3579,c_6475]) ).
tcf(c_10499,plain,
sK0(iPr_def_12,iPr_def_10) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_4084,c_65,c_66,c_71,c_753,c_1744,c_4084]) ).
tcf(c_10501,plain,
( subq(iPr_def_12,iPr_def_10)
| ~ mem(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_10499,c_49]) ).
tcf(c_10513,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_4080,c_10501]) ).
tcf(c_10522,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_24,X1)
| ( sK0(iPr_def_25,m(X0,X2)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_4868,c_51]) ).
tcf(c_10523,plain,
! [X0: $i] : sK0(iPr_def_25,m(e,X0)) = iPr_def_24,
inference(superposition,[status(thm)],[c_4868,c_53]) ).
tcf(c_10524,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_24 )
| ( sK0(iPr_def_25,m(s(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_55]) ).
tcf(c_10525,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_24,X1)
| mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,m(u(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_58]) ).
tcf(c_10526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_25,m(m(X1,X0),X2)) = iPr_def_24 )
| ~ mem(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4868,c_61]) ).
tcf(c_10527,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_60]) ).
tcf(c_10528,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_63]) ).
tcf(c_10529,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_15)
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_2826]) ).
tcf(c_10530,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_2825]) ).
tcf(c_10531,plain,
! [X0: $i] :
( ( e = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_793]) ).
tcf(c_10532,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_2828]) ).
tcf(c_10533,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_936]) ).
tcf(c_10534,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_14)
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_881]) ).
tcf(c_10535,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_14)
| ( sK0(iPr_def_25,m(iPr_def_13,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_934]) ).
tcf(c_10537,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_13,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_795]) ).
tcf(c_10538,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_886]) ).
tcf(c_10539,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_796]) ).
tcf(c_10540,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_22)
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_885]) ).
tcf(c_10541,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_797]) ).
tcf(c_10542,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_798]) ).
tcf(c_10543,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_24)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_940]) ).
tcf(c_10544,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_884]) ).
tcf(c_10545,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( sK0(iPr_def_25,m(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_799]) ).
tcf(c_10546,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_937]) ).
tcf(c_10550,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_13)
| mem(iPr_def_24,iPr_def_12)
| ( sK0(iPr_def_25,m(iPr_def_14,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_1247]) ).
tcf(c_10551,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_15)
| ( sK0(iPr_def_25,m(iPr_def_14,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_935]) ).
tcf(c_10552,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_14)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_15,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_2900]) ).
tcf(c_10553,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_12)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_2891]) ).
tcf(c_10554,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_24)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_887]) ).
tcf(c_10555,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_20)
| mem(iPr_def_24,iPr_def_19)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_1250]) ).
tcf(c_10556,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_22)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_938]) ).
tcf(c_10557,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_21)
| mem(iPr_def_24,iPr_def_17)
| ( sK0(iPr_def_25,m(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_1251]) ).
tcf(c_10558,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_939]) ).
tcf(c_10559,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_1252]) ).
tcf(c_10562,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_19)
| mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_24,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_1253]) ).
tcf(c_10787,plain,
! [X0: $i] :
( subq(iPr_def_25,m(e,X0))
| ~ mem(iPr_def_24,m(e,X0)) ),
inference(superposition,[status(thm)],[c_10523,c_49]) ).
tcf(c_10807,plain,
! [X0: $i] :
( subq(iPr_def_20,s(X0))
| ( X0 = iPr_def_19 )
| ~ mem(iPr_def_19,s(X0)) ),
inference(superposition,[status(thm)],[c_5047,c_49]) ).
tcf(c_10822,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4364,c_51]) ).
tcf(c_10823,plain,
( mem(iPr_def_15,iPr_def_14)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4364,c_2900]) ).
tcf(c_10835,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4365,c_51]) ).
tcf(c_10836,plain,
( mem(iPr_def_15,iPr_def_12)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4365,c_2891]) ).
tcf(c_10837,plain,
( mem(iPr_def_15,iPr_def_24)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4365,c_887]) ).
tcf(c_10864,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4368,c_51]) ).
tcf(c_10865,plain,
( mem(iPr_def_15,iPr_def_12)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4368,c_2891]) ).
tcf(c_10866,plain,
( mem(iPr_def_15,iPr_def_24)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4368,c_887]) ).
tcf(c_10880,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4369,c_51]) ).
tcf(c_10881,plain,
( mem(iPr_def_15,iPr_def_13)
| mem(iPr_def_15,iPr_def_12)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4369,c_1247]) ).
tcf(c_10882,plain,
( mem(iPr_def_15,iPr_def_15)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4369,c_935]) ).
tcf(c_10905,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X2)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X1,X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6478,c_51]) ).
tcf(c_10909,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_6479]) ).
tcf(c_10910,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X2,X0)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6478,c_51]) ).
tcf(c_10911,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_53]) ).
tcf(c_10912,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,u(X0,s(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_55]) ).
tcf(c_10913,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_58]) ).
tcf(c_10914,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X1,m(X2,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6478,c_61]) ).
tcf(c_10915,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,m(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_60]) ).
tcf(c_10916,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_63]) ).
tcf(c_10918,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_2825]) ).
tcf(c_10919,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(X0,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_793]) ).
tcf(c_10920,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(X0,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_2828]) ).
tcf(c_10921,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_936]) ).
tcf(c_10926,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_886]) ).
tcf(c_10927,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(X0,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_796]) ).
tcf(c_10928,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_885]) ).
tcf(c_10929,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_797]) ).
tcf(c_10930,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(X0,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_798]) ).
tcf(c_10931,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_940]) ).
tcf(c_10932,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_884]) ).
tcf(c_10933,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(X0,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_799]) ).
tcf(c_10934,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_937]) ).
tcf(c_10935,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_800]) ).
tcf(c_10941,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_2891]) ).
tcf(c_10942,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_887]) ).
tcf(c_10943,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1250]) ).
tcf(c_10944,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_938]) ).
tcf(c_10945,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1251]) ).
tcf(c_10946,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_939]) ).
tcf(c_10947,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1252]) ).
tcf(c_10950,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1253]) ).
tcf(c_10955,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X2,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_6479]) ).
tcf(c_10956,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,X2)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_6478,c_51]) ).
tcf(c_10957,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_53]) ).
tcf(c_10958,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(s(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_55]) ).
tcf(c_10959,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(u(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_58]) ).
tcf(c_10960,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(m(X1,X0),X2)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6478,c_61]) ).
tcf(c_10961,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_60]) ).
tcf(c_10962,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_63]) ).
tcf(c_10964,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_2825]) ).
tcf(c_10965,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_793]) ).
tcf(c_10966,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_2828]) ).
tcf(c_10967,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_936]) ).
tcf(c_10972,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_886]) ).
tcf(c_10973,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_796]) ).
tcf(c_10974,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_885]) ).
tcf(c_10975,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_797]) ).
tcf(c_10976,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_798]) ).
tcf(c_10977,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_940]) ).
tcf(c_10978,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_884]) ).
tcf(c_10979,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_799]) ).
tcf(c_10980,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_937]) ).
tcf(c_10981,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,u(iPr_def_25,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_800]) ).
tcf(c_10987,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_2891]) ).
tcf(c_10988,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_887]) ).
tcf(c_10989,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1250]) ).
tcf(c_10990,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_938]) ).
tcf(c_10991,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1251]) ).
tcf(c_10992,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_939]) ).
tcf(c_10993,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1252]) ).
tcf(c_10996,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_24,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_1253]) ).
tcf(c_11001,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,m(X2,X0)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_6479]) ).
tcf(c_11004,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_6478]) ).
tcf(c_11006,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_6478]) ).
tcf(c_11007,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,X0)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_6478]) ).
tcf(c_11726,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X1,X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8787,c_51]) ).
tcf(c_11727,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8787,c_1252]) ).
tcf(c_11730,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8787,c_6479]) ).
tcf(c_11751,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_9706,c_51]) ).
tcf(c_11752,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9706,c_1250]) ).
tcf(c_11753,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9706,c_938]) ).
tcf(c_11754,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_21)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9706,c_6479]) ).
tcf(c_11802,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_9747,c_51]) ).
tcf(c_11803,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9747,c_799]) ).
tcf(c_11804,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9747,c_937]) ).
tcf(c_11805,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_20)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9747,c_6479]) ).
tcf(c_11857,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3293,c_9746]) ).
tcf(c_11869,plain,
( subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ mem(iPr_def_12,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4215,c_49]) ).
tcf(c_11882,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_5050,c_51]) ).
tcf(c_11883,plain,
! [X0: $i] : sK0(iPr_def_20,m(e,X0)) = iPr_def_19,
inference(superposition,[status(thm)],[c_5050,c_53]) ).
tcf(c_11884,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_5050,c_55]) ).
tcf(c_11885,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_5050,c_58]) ).
tcf(c_11886,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_5050,c_61]) ).
tcf(c_11887,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_5050,c_60]) ).
tcf(c_11888,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_5050,c_63]) ).
tcf(c_11889,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_15)
| ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_2826]) ).
tcf(c_11890,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_2825]) ).
tcf(c_11891,plain,
! [X0: $i] :
( ( e = iPr_def_19 )
| ( sK0(iPr_def_20,m(iPr_def_10,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_793]) ).
tcf(c_11892,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_5050,c_2828]) ).
tcf(c_11893,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_936]) ).
tcf(c_11894,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_14)
| ( sK0(iPr_def_20,m(iPr_def_12,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_881]) ).
tcf(c_11895,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_14)
| ( sK0(iPr_def_20,m(iPr_def_13,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_934]) ).
tcf(c_11896,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_26)
| ( sK0(iPr_def_20,m(iPr_def_13,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_888]) ).
tcf(c_11897,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_20,m(iPr_def_13,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_795]) ).
tcf(c_11899,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_19 )
| ( sK0(iPr_def_20,m(iPr_def_16,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_796]) ).
tcf(c_11901,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_19 )
| ( sK0(iPr_def_20,m(iPr_def_17,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_797]) ).
tcf(c_11902,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ( sK0(iPr_def_20,m(iPr_def_19,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_798]) ).
tcf(c_11903,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_24)
| ( sK0(iPr_def_20,m(iPr_def_19,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_940]) ).
tcf(c_11907,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( sK0(iPr_def_20,m(iPr_def_25,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_800]) ).
tcf(c_11909,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_26)
| ( sK0(iPr_def_20,m(iPr_def_25,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_941]) ).
tcf(c_11910,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_13)
| mem(iPr_def_19,iPr_def_12)
| ( sK0(iPr_def_20,m(iPr_def_14,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_1247]) ).
tcf(c_11911,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_5050,c_935]) ).
tcf(c_11912,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_14)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,m(iPr_def_15,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_2900]) ).
tcf(c_11913,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_12)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,m(iPr_def_18,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_2891]) ).
tcf(c_11914,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_24)
| ( sK0(iPr_def_20,m(iPr_def_18,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_887]) ).
tcf(c_11922,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_19)
| mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,m(iPr_def_24,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_1253]) ).
tcf(c_11923,plain,
! [X0: $i] :
( mem(iPr_def_19,iPr_def_25)
| mem(iPr_def_19,iPr_def_13)
| ( sK0(iPr_def_20,m(iPr_def_26,X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_1254]) ).
tcf(c_12120,plain,
! [X0: $i] :
( subq(iPr_def_20,m(e,X0))
| ~ mem(iPr_def_19,m(e,X0)) ),
inference(superposition,[status(thm)],[c_11883,c_49]) ).
tcf(c_12149,plain,
! [X0: $i] :
( subq(iPr_def_19,s(X0))
| ( X0 = iPr_def_18 )
| ~ mem(iPr_def_18,s(X0)) ),
inference(superposition,[status(thm)],[c_5198,c_49]) ).
tcf(c_12165,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_18,X1)
| ( sK0(iPr_def_19,m(X0,X2)) = iPr_def_18 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_5201,c_51]) ).
tcf(c_12166,plain,
! [X0: $i] : sK0(iPr_def_19,m(e,X0)) = iPr_def_18,
inference(superposition,[status(thm)],[c_5201,c_53]) ).
tcf(c_12167,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_18 )
| ( sK0(iPr_def_19,m(s(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_55]) ).
tcf(c_12168,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_18,X1)
| mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,m(u(X0,X1),X2)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_58]) ).
tcf(c_12169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_19,m(m(X1,X0),X2)) = iPr_def_18 )
| ~ mem(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_5201,c_61]) ).
tcf(c_12170,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,m(m(X0,X1),X2)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_60]) ).
tcf(c_12171,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_63]) ).
tcf(c_12172,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_15)
| ( sK0(iPr_def_19,m(iPr_def_10,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_2826]) ).
tcf(c_12173,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_18)
| ( sK0(iPr_def_19,m(iPr_def_10,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_2825]) ).
tcf(c_12174,plain,
! [X0: $i] :
( ( e = iPr_def_18 )
| ( sK0(iPr_def_19,m(iPr_def_10,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_793]) ).
tcf(c_12175,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_18 )
| ( sK0(iPr_def_19,m(iPr_def_12,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_2828]) ).
tcf(c_12176,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_18)
| ( sK0(iPr_def_19,m(iPr_def_12,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_936]) ).
tcf(c_12177,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_14)
| ( sK0(iPr_def_19,m(iPr_def_12,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_881]) ).
tcf(c_12178,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_14)
| ( sK0(iPr_def_19,m(iPr_def_13,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_934]) ).
tcf(c_12179,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_26)
| ( sK0(iPr_def_19,m(iPr_def_13,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_888]) ).
tcf(c_12180,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_19,m(iPr_def_13,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_795]) ).
tcf(c_12182,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( sK0(iPr_def_19,m(iPr_def_16,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_796]) ).
tcf(c_12184,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_18 )
| ( sK0(iPr_def_19,m(iPr_def_17,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_797]) ).
tcf(c_12188,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ( sK0(iPr_def_19,m(iPr_def_20,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_799]) ).
tcf(c_12190,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_24 )
| ( sK0(iPr_def_19,m(iPr_def_25,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_800]) ).
tcf(c_12192,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_26)
| ( sK0(iPr_def_19,m(iPr_def_25,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_941]) ).
tcf(c_12193,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_13)
| mem(iPr_def_18,iPr_def_12)
| ( sK0(iPr_def_19,m(iPr_def_14,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_1247]) ).
tcf(c_12194,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_15)
| ( sK0(iPr_def_19,m(iPr_def_14,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_935]) ).
tcf(c_12195,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_14)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,m(iPr_def_15,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_2900]) ).
tcf(c_12196,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_12)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,m(iPr_def_18,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_2891]) ).
tcf(c_12206,plain,
! [X0: $i] :
( mem(iPr_def_18,iPr_def_25)
| mem(iPr_def_18,iPr_def_13)
| ( sK0(iPr_def_19,m(iPr_def_26,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_1254]) ).
tcf(c_12405,plain,
! [X0: $i] :
( subq(iPr_def_19,m(e,X0))
| ~ mem(iPr_def_18,m(e,X0)) ),
inference(superposition,[status(thm)],[c_12166,c_49]) ).
tcf(c_12420,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4370,c_51]) ).
tcf(c_12421,plain,
( mem(iPr_def_15,iPr_def_13)
| mem(iPr_def_15,iPr_def_12)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4370,c_1247]) ).
tcf(c_12422,plain,
( mem(iPr_def_15,iPr_def_15)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4370,c_935]) ).
tcf(c_12436,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4371,c_51]) ).
tcf(c_12437,plain,
( mem(iPr_def_15,iPr_def_25)
| mem(iPr_def_15,iPr_def_13)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4371,c_1254]) ).
tcf(c_12450,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_17) = iPr_def_15 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4375,c_51]) ).
tcf(c_12451,plain,
( mem(iPr_def_15,iPr_def_21)
| mem(iPr_def_15,iPr_def_17)
| ( sK0(iPr_def_16,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4375,c_1251]) ).
tcf(c_12468,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10338,c_51]) ).
tcf(c_12469,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10338,c_1252]) ).
tcf(c_12484,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10341,c_51]) ).
tcf(c_12485,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10341,c_1252]) ).
tcf(c_12500,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_16,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8389,c_51]) ).
tcf(c_12501,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8389,c_1252]) ).
tcf(c_12504,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8389,c_6479]) ).
tcf(c_12520,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_22,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8409,c_51]) ).
tcf(c_12521,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8409,c_1252]) ).
tcf(c_12524,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8409,c_6479]) ).
tcf(c_12540,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_23,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8418,c_51]) ).
tcf(c_12541,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8418,c_1252]) ).
tcf(c_12544,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8418,c_6479]) ).
tcf(c_12564,plain,
( subq(iPr_def_16,iPr_def_10)
| ( e = iPr_def_15 )
| ~ mem(iPr_def_15,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4366,c_49]) ).
tcf(c_12587,plain,
( ~ mem(e,iPr_def_13)
| ( e = iPr_def_12 ) ),
inference(global_subsumption_just,[status(thm)],[c_5982,c_824]) ).
tcf(c_12588,plain,
( ( e = iPr_def_12 )
| ~ mem(e,iPr_def_13) ),
inference(renaming,[status(thm)],[c_12587]) ).
tcf(c_12589,plain,
( ~ mem(e,iPr_def_16)
| ( e = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_6745,c_823]) ).
tcf(c_12590,plain,
( ( e = iPr_def_15 )
| ~ mem(e,iPr_def_16) ),
inference(renaming,[status(thm)],[c_12589]) ).
tcf(c_12591,plain,
( ~ mem(e,iPr_def_17)
| ( e = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_7152,c_822]) ).
tcf(c_12592,plain,
( ( e = iPr_def_14 )
| ~ mem(e,iPr_def_17) ),
inference(renaming,[status(thm)],[c_12591]) ).
tcf(c_12597,plain,
! [X0: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(e,X0))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_59,c_7683]) ).
tcf(c_12598,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_3886,c_7683]) ).
tcf(c_12607,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4378,c_51]) ).
tcf(c_12608,plain,
( mem(iPr_def_15,iPr_def_19)
| mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4378,c_1253]) ).
tcf(c_12620,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4379,c_51]) ).
tcf(c_12621,plain,
( mem(iPr_def_15,iPr_def_20)
| mem(iPr_def_15,iPr_def_19)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4379,c_1250]) ).
tcf(c_12622,plain,
( mem(iPr_def_15,iPr_def_22)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4379,c_938]) ).
tcf(c_12636,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4381,c_51]) ).
tcf(c_12637,plain,
( mem(iPr_def_15,iPr_def_20)
| mem(iPr_def_15,iPr_def_19)
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4381,c_1250]) ).
tcf(c_12638,plain,
( mem(iPr_def_15,iPr_def_22)
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4381,c_938]) ).
tcf(c_12657,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_25) = iPr_def_15 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4384,c_51]) ).
tcf(c_12658,plain,
( mem(iPr_def_15,iPr_def_25)
| mem(iPr_def_15,iPr_def_13)
| ( sK0(iPr_def_16,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4384,c_1254]) ).
tcf(c_12680,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_13)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8783,c_51]) ).
tcf(c_12681,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_13)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8783,c_1252]) ).
tcf(c_12684,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_13)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8783,c_6479]) ).
tcf(c_12703,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_26)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8784,c_51]) ).
tcf(c_12704,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8784,c_1252]) ).
tcf(c_12707,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8784,c_6479]) ).
tcf(c_12723,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_14)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8789,c_51]) ).
tcf(c_12724,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8789,c_1252]) ).
tcf(c_12727,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8789,c_6479]) ).
tcf(c_12759,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_15)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8790,c_51]) ).
tcf(c_12760,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8790,c_1252]) ).
tcf(c_12763,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8790,c_6479]) ).
tcf(c_12779,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_27)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8791,c_51]) ).
tcf(c_12780,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8791,c_1252]) ).
tcf(c_12783,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8791,c_6479]) ).
tcf(c_12810,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6699,c_51]) ).
tcf(c_12811,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6699,c_1251]) ).
tcf(c_12812,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6699,c_939]) ).
tcf(c_12840,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6714,c_51]) ).
tcf(c_12841,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6714,c_1251]) ).
tcf(c_12842,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6714,c_939]) ).
tcf(c_12868,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6729,c_51]) ).
tcf(c_12869,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6729,c_1251]) ).
tcf(c_12870,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6729,c_939]) ).
tcf(c_12902,plain,
( subq(iPr_def_17,iPr_def_10)
| ( e = iPr_def_14 )
| ~ mem(iPr_def_14,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4562,c_49]) ).
tcf(c_12916,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_3886,c_7724]) ).
tcf(c_12925,plain,
( ~ mem(e,iPr_def_19)
| ( e = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_7956,c_821]) ).
tcf(c_12926,plain,
( ( e = iPr_def_18 )
| ~ mem(e,iPr_def_19) ),
inference(renaming,[status(thm)],[c_12925]) ).
tcf(c_12931,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_8202]) ).
tcf(c_12932,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_4080,c_8202]) ).
tcf(c_12946,plain,
( ~ mem(e,iPr_def_20)
| ( e = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_9074,c_820]) ).
tcf(c_12947,plain,
( ( e = iPr_def_19 )
| ~ mem(e,iPr_def_20) ),
inference(renaming,[status(thm)],[c_12946]) ).
tcf(c_12952,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_14) = iPr_def_15 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4385,c_51]) ).
tcf(c_12953,plain,
( mem(iPr_def_15,iPr_def_14)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4385,c_2900]) ).
tcf(c_12965,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_18) = iPr_def_15 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4386,c_51]) ).
tcf(c_12966,plain,
( mem(iPr_def_15,iPr_def_19)
| mem(iPr_def_15,iPr_def_18)
| ( sK0(iPr_def_16,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4386,c_1253]) ).
tcf(c_12988,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_21) = iPr_def_15 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4387,c_51]) ).
tcf(c_12989,plain,
( mem(iPr_def_15,iPr_def_21)
| mem(iPr_def_15,iPr_def_17)
| ( sK0(iPr_def_16,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4387,c_1251]) ).
tcf(c_13006,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4560,c_51]) ).
tcf(c_13007,plain,
( mem(iPr_def_14,iPr_def_14)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4560,c_2900]) ).
tcf(c_13064,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_10325,c_51]) ).
tcf(c_13065,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10325,c_1253]) ).
tcf(c_13066,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10325,c_6479]) ).
tcf(c_13088,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_10332,c_51]) ).
tcf(c_13089,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10332,c_1253]) ).
tcf(c_13090,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10332,c_6479]) ).
tcf(c_13139,plain,
( subq(iPr_def_25,iPr_def_10)
| ( e = iPr_def_24 )
| ~ mem(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4872,c_49]) ).
tcf(c_13151,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(e,X0))
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_59,c_9311]) ).
tcf(c_13152,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(m(e,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_9311]) ).
tcf(c_13153,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_13,m(m(e,X0),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_9311]) ).
tcf(c_13155,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,m(m(e,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_9311]) ).
tcf(c_13158,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(e,X1))
| ( sK0(iPr_def_25,u(X0,m(e,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_9311]) ).
tcf(c_13184,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(e,X0))
| ~ mem(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_59,c_9587]) ).
tcf(c_13185,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,m(e,X0))
| ( sK0(iPr_def_16,m(m(e,X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_9587]) ).
tcf(c_13242,plain,
( ~ mem(e,iPr_def_25)
| ( e = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_9795,c_819]) ).
tcf(c_13243,plain,
( ( e = iPr_def_24 )
| ~ mem(e,iPr_def_25) ),
inference(renaming,[status(thm)],[c_13242]) ).
tcf(c_13248,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(e,X0))
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_59,c_10049]) ).
tcf(c_13249,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,m(e,X0))
| ( sK0(iPr_def_17,m(m(e,X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_10049]) ).
tcf(c_13258,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4561,c_51]) ).
tcf(c_13259,plain,
( mem(iPr_def_14,iPr_def_12)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4561,c_2891]) ).
tcf(c_13260,plain,
( mem(iPr_def_14,iPr_def_24)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4561,c_887]) ).
tcf(c_13274,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4564,c_51]) ).
tcf(c_13275,plain,
( mem(iPr_def_14,iPr_def_12)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4564,c_2891]) ).
tcf(c_13276,plain,
( mem(iPr_def_14,iPr_def_24)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4564,c_887]) ).
tcf(c_13294,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4565,c_51]) ).
tcf(c_13295,plain,
( mem(iPr_def_14,iPr_def_13)
| mem(iPr_def_14,iPr_def_12)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4565,c_1247]) ).
tcf(c_13296,plain,
( mem(iPr_def_14,iPr_def_15)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4565,c_935]) ).
tcf(c_13324,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4566,c_51]) ).
tcf(c_13325,plain,
( mem(iPr_def_14,iPr_def_13)
| mem(iPr_def_14,iPr_def_12)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4566,c_1247]) ).
tcf(c_13326,plain,
( mem(iPr_def_14,iPr_def_15)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4566,c_935]) ).
tcf(c_13358,plain,
sK0(iPr_def_25,p(e)) = iPr_def_24,
inference(global_subsumption_just,[status(thm)],[c_7841,c_66,c_1414,c_4962]) ).
tcf(c_13360,plain,
( subq(iPr_def_25,p(e))
| ~ mem(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_13358,c_49]) ).
tcf(c_13362,plain,
( subq(iPr_def_25,p(e))
| ~ subq(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_13358,c_783]) ).
tcf(c_13376,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_10,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8381,c_51]) ).
tcf(c_13377,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8381,c_1252]) ).
tcf(c_13380,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_10,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8381,c_6479]) ).
tcf(c_13401,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_12,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8384,c_51]) ).
tcf(c_13402,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8384,c_1252]) ).
tcf(c_13405,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_12,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8384,c_6479]) ).
tcf(c_13437,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8391,c_939]) ).
tcf(c_13444,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_17,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_13437,c_51]) ).
tcf(c_13445,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13437,c_1252]) ).
tcf(c_13448,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_17,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13437,c_6479]) ).
tcf(c_13467,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_8394,c_51]) ).
tcf(c_13468,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8394,c_1253]) ).
tcf(c_13469,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8394,c_6479]) ).
tcf(c_13494,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8395,c_51]) ).
tcf(c_13495,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8395,c_1252]) ).
tcf(c_13498,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8395,c_6479]) ).
tcf(c_13565,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_20,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8397,c_51]) ).
tcf(c_13566,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8397,c_1252]) ).
tcf(c_13569,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_20,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8397,c_6479]) ).
tcf(c_13590,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_18,X1)) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_8405,c_51]) ).
tcf(c_13591,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8405,c_1253]) ).
tcf(c_13592,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_18,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8405,c_6479]) ).
tcf(c_13607,plain,
~ subq(iPr_def_24,e),
inference(global_subsumption_just,[status(thm)],[c_13362,c_66,c_1414]) ).
tcf(c_13615,plain,
! [X0: $i] :
( subq(iPr_def_25,p(e))
| ( sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_13360]) ).
tcf(c_13624,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(e,X0))
| ~ mem(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_59,c_10787]) ).
tcf(c_13625,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,m(e,X0))
| ( sK0(iPr_def_25,m(m(e,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_10787]) ).
tcf(c_13636,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_11869]) ).
tcf(c_13638,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_11869]) ).
tcf(c_13639,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_11869]) ).
tcf(c_13640,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_11869]) ).
tcf(c_13642,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(X0,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_11869]) ).
tcf(c_13716,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_12120]) ).
tcf(c_13717,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_5050,c_12120]) ).
tcf(c_13726,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4567,c_51]) ).
tcf(c_13727,plain,
( mem(iPr_def_14,iPr_def_25)
| mem(iPr_def_14,iPr_def_13)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4567,c_1254]) ).
tcf(c_13740,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4574,c_51]) ).
tcf(c_13741,plain,
( mem(iPr_def_14,iPr_def_19)
| mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4574,c_1253]) ).
tcf(c_13752,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4575,c_51]) ).
tcf(c_13753,plain,
( mem(iPr_def_14,iPr_def_20)
| mem(iPr_def_14,iPr_def_19)
| ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4575,c_1250]) ).
tcf(c_13770,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_20) = iPr_def_14 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4577,c_51]) ).
tcf(c_13771,plain,
( mem(iPr_def_14,iPr_def_20)
| mem(iPr_def_14,iPr_def_19)
| ( sK0(iPr_def_17,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4577,c_1250]) ).
tcf(c_13789,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8407,c_939]) ).
tcf(c_13796,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_21,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_13789,c_51]) ).
tcf(c_13797,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13789,c_1252]) ).
tcf(c_13800,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_21,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13789,c_6479]) ).
tcf(c_13841,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X1,e)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10911,c_51]) ).
tcf(c_13842,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_1252]) ).
tcf(c_13845,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_6479]) ).
tcf(c_13846,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,e)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_10911,c_51]) ).
tcf(c_13847,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_53]) ).
tcf(c_13848,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(s(X0),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_55]) ).
tcf(c_13849,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(u(X0,X1),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_58]) ).
tcf(c_13850,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X1,X0),e)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_10911,c_61]) ).
tcf(c_13851,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(m(X0,X1),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_60]) ).
tcf(c_13852,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(X0),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_63]) ).
tcf(c_13854,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_10,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_2825]) ).
tcf(c_13855,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_793]) ).
tcf(c_13856,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_12,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_2828]) ).
tcf(c_13857,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_12,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_936]) ).
tcf(c_13862,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_886]) ).
tcf(c_13863,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_16,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_796]) ).
tcf(c_13864,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_17,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_885]) ).
tcf(c_13865,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_17,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_797]) ).
tcf(c_13866,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_19,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_798]) ).
tcf(c_13867,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_19,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_940]) ).
tcf(c_13868,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_19,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_884]) ).
tcf(c_13869,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_20,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_799]) ).
tcf(c_13870,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_20,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_937]) ).
tcf(c_13877,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_18,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_2891]) ).
tcf(c_13878,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_18,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_887]) ).
tcf(c_13879,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_21,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_1250]) ).
tcf(c_13880,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_21,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_938]) ).
tcf(c_13881,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(iPr_def_22,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_1251]) ).
tcf(c_13882,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_939]) ).
tcf(c_13886,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_24,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_1253]) ).
tcf(c_13891,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,e)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_6479]) ).
tcf(c_13892,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_11869]) ).
tcf(c_13893,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(m(e,X0),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_9311]) ).
tcf(c_13894,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,e)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_10911]) ).
tcf(c_14137,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X1,iPr_def_16)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10926,c_51]) ).
tcf(c_14138,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_1252]) ).
tcf(c_14141,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_6479]) ).
tcf(c_14142,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,iPr_def_16)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_10926,c_51]) ).
tcf(c_14143,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_53]) ).
tcf(c_14144,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(s(X0),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_55]) ).
tcf(c_14145,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(u(X0,X1),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_58]) ).
tcf(c_14146,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X1,X0),iPr_def_16)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_10926,c_61]) ).
tcf(c_14147,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(m(X0,X1),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_60]) ).
tcf(c_14148,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(X0),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_63]) ).
tcf(c_14150,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_2825]) ).
tcf(c_14151,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_793]) ).
tcf(c_14152,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_2828]) ).
tcf(c_14153,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_936]) ).
tcf(c_14158,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_886]) ).
tcf(c_14159,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_796]) ).
tcf(c_14160,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_885]) ).
tcf(c_14161,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_797]) ).
tcf(c_14162,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_798]) ).
tcf(c_14163,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_940]) ).
tcf(c_14164,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_884]) ).
tcf(c_14165,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_799]) ).
tcf(c_14166,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_937]) ).
tcf(c_14173,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_2891]) ).
tcf(c_14174,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_887]) ).
tcf(c_14175,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_1250]) ).
tcf(c_14176,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_938]) ).
tcf(c_14177,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_1251]) ).
tcf(c_14178,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_939]) ).
tcf(c_14182,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_24,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_1253]) ).
tcf(c_14187,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_6479]) ).
tcf(c_14188,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_11869]) ).
tcf(c_14189,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(m(e,X0),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_9311]) ).
tcf(c_14190,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_16)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_10926]) ).
tcf(c_14391,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X1,iPr_def_22)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10946,c_51]) ).
tcf(c_14392,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_1252]) ).
tcf(c_14395,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_6479]) ).
tcf(c_14396,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,iPr_def_22)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_10946,c_51]) ).
tcf(c_14397,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_53]) ).
tcf(c_14398,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(s(X0),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_55]) ).
tcf(c_14399,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(u(X0,X1),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_58]) ).
tcf(c_14400,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X1,X0),iPr_def_22)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_10946,c_61]) ).
tcf(c_14401,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(m(X0,X1),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_60]) ).
tcf(c_14402,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(X0),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_63]) ).
tcf(c_14404,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_2825]) ).
tcf(c_14405,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_793]) ).
tcf(c_14406,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_2828]) ).
tcf(c_14407,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_936]) ).
tcf(c_14412,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_886]) ).
tcf(c_14413,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_796]) ).
tcf(c_14414,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_885]) ).
tcf(c_14415,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_797]) ).
tcf(c_14416,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_798]) ).
tcf(c_14417,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_940]) ).
tcf(c_14418,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_884]) ).
tcf(c_14419,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_799]) ).
tcf(c_14420,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_937]) ).
tcf(c_14427,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_2891]) ).
tcf(c_14428,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_887]) ).
tcf(c_14429,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_1250]) ).
tcf(c_14430,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_938]) ).
tcf(c_14431,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_1251]) ).
tcf(c_14432,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_939]) ).
tcf(c_14436,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_24,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_1253]) ).
tcf(c_14441,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_6479]) ).
tcf(c_14442,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_11869]) ).
tcf(c_14443,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(m(e,X0),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_9311]) ).
tcf(c_14444,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_22)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_10946]) ).
tcf(c_14486,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_14413,c_276]) ).
tcf(c_14676,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10957,c_51]) ).
tcf(c_14677,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_1252]) ).
tcf(c_14680,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(e,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_6479]) ).
tcf(c_14681,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(e,X0)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_10957,c_51]) ).
tcf(c_14683,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(e,s(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_55]) ).
tcf(c_14684,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,u(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_58]) ).
tcf(c_14685,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,m(X1,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_10957,c_61]) ).
tcf(c_14686,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,m(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_60]) ).
tcf(c_14687,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_63]) ).
tcf(c_14689,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(e,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_2825]) ).
tcf(c_14690,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(e,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_793]) ).
tcf(c_14691,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(e,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_2828]) ).
tcf(c_14692,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(e,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_936]) ).
tcf(c_14698,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(e,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_796]) ).
tcf(c_14699,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(e,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_885]) ).
tcf(c_14700,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(e,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_797]) ).
tcf(c_14701,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(e,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_798]) ).
tcf(c_14702,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_940]) ).
tcf(c_14703,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(e,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_884]) ).
tcf(c_14704,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(e,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_799]) ).
tcf(c_14705,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(e,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_937]) ).
tcf(c_14712,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(e,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_2891]) ).
tcf(c_14713,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_887]) ).
tcf(c_14714,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(e,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_1250]) ).
tcf(c_14715,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(e,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_938]) ).
tcf(c_14716,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(e,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_1251]) ).
tcf(c_14721,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(e,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_1253]) ).
tcf(c_14726,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_6479]) ).
tcf(c_14727,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(e,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_11869]) ).
tcf(c_14728,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(e,m(e,X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_9311]) ).
tcf(c_14729,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,iPr_def_23)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_10957]) ).
tcf(c_14963,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_16,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10972,c_51]) ).
tcf(c_14964,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_1252]) ).
tcf(c_14967,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_6479]) ).
tcf(c_14968,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(iPr_def_16,X0)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_10972,c_51]) ).
tcf(c_14970,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_16,s(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_55]) ).
tcf(c_14971,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_16,u(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_58]) ).
tcf(c_14972,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,m(X1,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_10972,c_61]) ).
tcf(c_14973,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_60]) ).
tcf(c_14974,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_16,p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_63]) ).
tcf(c_14976,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_2825]) ).
tcf(c_14977,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_793]) ).
tcf(c_14978,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_2828]) ).
tcf(c_14979,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_936]) ).
tcf(c_14986,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_885]) ).
tcf(c_14987,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_797]) ).
tcf(c_14988,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_798]) ).
tcf(c_14989,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_940]) ).
tcf(c_14990,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_884]) ).
tcf(c_14991,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_799]) ).
tcf(c_14992,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_937]) ).
tcf(c_14999,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_2891]) ).
tcf(c_15000,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_887]) ).
tcf(c_15001,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_1250]) ).
tcf(c_15002,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_938]) ).
tcf(c_15003,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_1251]) ).
tcf(c_15008,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_1253]) ).
tcf(c_15013,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_6479]) ).
tcf(c_15014,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_11869]) ).
tcf(c_15015,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(iPr_def_16,m(e,X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_9311]) ).
tcf(c_15016,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_23)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_10972]) ).
tcf(c_15076,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_15003,c_276]) ).
tcf(c_15182,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10992,c_51]) ).
tcf(c_15183,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_1252]) ).
tcf(c_15186,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_6479]) ).
tcf(c_15187,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(iPr_def_22,X0)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_10992,c_51]) ).
tcf(c_15189,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_22,s(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_55]) ).
tcf(c_15190,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,u(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_58]) ).
tcf(c_15191,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,m(X1,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_10992,c_61]) ).
tcf(c_15192,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_60]) ).
tcf(c_15193,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_22,p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_63]) ).
tcf(c_15195,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_2825]) ).
tcf(c_15196,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_793]) ).
tcf(c_15197,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_2828]) ).
tcf(c_15198,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_936]) ).
tcf(c_15204,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_796]) ).
tcf(c_15205,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_885]) ).
tcf(c_15206,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_797]) ).
tcf(c_15207,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_798]) ).
tcf(c_15208,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_940]) ).
tcf(c_15209,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_884]) ).
tcf(c_15210,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_799]) ).
tcf(c_15211,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_937]) ).
tcf(c_15218,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_2891]) ).
tcf(c_15219,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_887]) ).
tcf(c_15220,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_1250]) ).
tcf(c_15221,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_938]) ).
tcf(c_15227,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_1253]) ).
tcf(c_15232,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_6479]) ).
tcf(c_15233,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_11869]) ).
tcf(c_15234,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(iPr_def_22,m(e,X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_9311]) ).
tcf(c_15235,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_23)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_10992]) ).
tcf(c_15435,plain,
( subq(iPr_def_20,iPr_def_10)
| ( e = iPr_def_19 )
| ~ mem(iPr_def_19,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5054,c_49]) ).
tcf(c_15449,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(e,X0))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_59,c_12405]) ).
tcf(c_15450,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(e,X0))
| ( sK0(iPr_def_19,m(m(e,X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_12405]) ).
tcf(c_15525,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_25) = iPr_def_14 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4580,c_51]) ).
tcf(c_15526,plain,
( mem(iPr_def_14,iPr_def_25)
| mem(iPr_def_14,iPr_def_13)
| ( sK0(iPr_def_17,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4580,c_1254]) ).
tcf(c_15539,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_14) = iPr_def_14 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4581,c_51]) ).
tcf(c_15540,plain,
( mem(iPr_def_14,iPr_def_14)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4581,c_2900]) ).
tcf(c_15552,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_18) = iPr_def_14 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4582,c_51]) ).
tcf(c_15553,plain,
( mem(iPr_def_14,iPr_def_19)
| mem(iPr_def_14,iPr_def_18)
| ( sK0(iPr_def_17,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4582,c_1253]) ).
tcf(c_15564,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4870,c_51]) ).
tcf(c_15565,plain,
( mem(iPr_def_24,iPr_def_14)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4870,c_2900]) ).
tcf(c_15579,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X1,iPr_def_23)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_11004,c_51]) ).
tcf(c_15580,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_1252]) ).
tcf(c_15583,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_6479]) ).
tcf(c_15584,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,iPr_def_23)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_11004,c_51]) ).
tcf(c_15586,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(s(X0),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_55]) ).
tcf(c_15587,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(u(X0,X1),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_58]) ).
tcf(c_15588,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X1,X0),iPr_def_23)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_11004,c_61]) ).
tcf(c_15589,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(m(X0,X1),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_60]) ).
tcf(c_15590,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(X0),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_63]) ).
tcf(c_15592,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_2825]) ).
tcf(c_15593,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_793]) ).
tcf(c_15594,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_2828]) ).
tcf(c_15595,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_936]) ).
tcf(c_15601,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_16,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_796]) ).
tcf(c_15602,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_885]) ).
tcf(c_15603,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_797]) ).
tcf(c_15604,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_798]) ).
tcf(c_15605,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_940]) ).
tcf(c_15606,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_884]) ).
tcf(c_15607,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_799]) ).
tcf(c_15608,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_937]) ).
tcf(c_15615,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_2891]) ).
tcf(c_15616,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_887]) ).
tcf(c_15617,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_1250]) ).
tcf(c_15618,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_938]) ).
tcf(c_15619,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(iPr_def_22,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_1251]) ).
tcf(c_15624,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_24,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_1253]) ).
tcf(c_15629,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_6479]) ).
tcf(c_15630,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_11869]) ).
tcf(c_15631,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(m(e,X0),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_9311]) ).
tcf(c_15632,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_23)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_11004]) ).
tcf(c_17515,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_11006,c_51]) ).
tcf(c_17516,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_1252]) ).
tcf(c_17519,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_6479]) ).
tcf(c_17520,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_11006,c_51]) ).
tcf(c_17522,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_23,s(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_55]) ).
tcf(c_17523,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,u(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_58]) ).
tcf(c_17524,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,m(X1,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_11006,c_61]) ).
tcf(c_17525,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_60]) ).
tcf(c_17526,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(iPr_def_23,p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_63]) ).
tcf(c_17528,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_2825]) ).
tcf(c_17529,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_793]) ).
tcf(c_17530,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_2828]) ).
tcf(c_17531,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_936]) ).
tcf(c_17537,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_796]) ).
tcf(c_17538,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_885]) ).
tcf(c_17539,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_797]) ).
tcf(c_17540,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_798]) ).
tcf(c_17541,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_940]) ).
tcf(c_17542,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_884]) ).
tcf(c_17543,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_799]) ).
tcf(c_17544,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_937]) ).
tcf(c_17551,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_2891]) ).
tcf(c_17552,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_887]) ).
tcf(c_17553,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_1250]) ).
tcf(c_17554,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_938]) ).
tcf(c_17555,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_1251]) ).
tcf(c_17560,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_1253]) ).
tcf(c_17565,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_6479]) ).
tcf(c_17566,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_23,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_11869]) ).
tcf(c_17567,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(iPr_def_23,m(e,X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_9311]) ).
tcf(c_17797,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X1,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_11007,c_51]) ).
tcf(c_17798,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_1252]) ).
tcf(c_17801,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_6479]) ).
tcf(c_17802,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X0,X0)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_11007,c_51]) ).
tcf(c_17804,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,u(s(X0),s(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_55]) ).
tcf(c_17805,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(u(X0,X1),u(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_58]) ).
tcf(c_17806,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X1,X0),m(X1,X0))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_11007,c_61]) ).
tcf(c_17807,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(m(X0,X1),m(X0,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_60]) ).
tcf(c_17808,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(X0),p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_63]) ).
tcf(c_17810,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_2825]) ).
tcf(c_17811,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_793]) ).
tcf(c_17812,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_2828]) ).
tcf(c_17813,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_12,iPr_def_12)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_936]) ).
tcf(c_17820,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_885]) ).
tcf(c_17821,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,u(iPr_def_17,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_797]) ).
tcf(c_17822,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_798]) ).
tcf(c_17823,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_940]) ).
tcf(c_17824,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_19,iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_884]) ).
tcf(c_17825,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_799]) ).
tcf(c_17826,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,u(iPr_def_20,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_937]) ).
tcf(c_17833,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_2891]) ).
tcf(c_17834,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_18,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_887]) ).
tcf(c_17835,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_1250]) ).
tcf(c_17836,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,u(iPr_def_21,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_938]) ).
tcf(c_17842,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,u(iPr_def_24,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_1253]) ).
tcf(c_17847,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ( sK0(iPr_def_25,u(X0,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_6479]) ).
tcf(c_17848,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,u(iPr_def_10,iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_11869]) ).
tcf(c_17849,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(e,X0))
| ( sK0(iPr_def_25,u(m(e,X0),m(e,X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_9311]) ).
tcf(c_18058,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6971,c_51]) ).
tcf(c_18059,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6971,c_1251]) ).
tcf(c_18060,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6971,c_939]) ).
tcf(c_18085,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6990,c_51]) ).
tcf(c_18086,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6990,c_1251]) ).
tcf(c_18087,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6990,c_939]) ).
tcf(c_18114,plain,
( subq(iPr_def_19,iPr_def_10)
| ( e = iPr_def_18 )
| ~ mem(iPr_def_18,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5205,c_49]) ).
tcf(c_18129,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,e)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_13847,c_51]) ).
tcf(c_18130,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,u(e,e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13847,c_1252]) ).
tcf(c_18144,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,iPr_def_16)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_14143,c_51]) ).
tcf(c_18145,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,u(e,iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14143,c_1252]) ).
tcf(c_18159,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(e,iPr_def_22)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_14397,c_51]) ).
tcf(c_18160,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,u(e,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_14397,c_1252]) ).
tcf(c_18182,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4871,c_51]) ).
tcf(c_18183,plain,
( mem(iPr_def_24,iPr_def_12)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4871,c_2891]) ).
tcf(c_18184,plain,
( mem(iPr_def_24,iPr_def_24)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4871,c_887]) ).
tcf(c_18198,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4874,c_51]) ).
tcf(c_18199,plain,
( mem(iPr_def_24,iPr_def_12)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4874,c_2891]) ).
tcf(c_18200,plain,
( mem(iPr_def_24,iPr_def_24)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4874,c_887]) ).
tcf(c_18214,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4875,c_51]) ).
tcf(c_18215,plain,
( mem(iPr_def_24,iPr_def_13)
| mem(iPr_def_24,iPr_def_12)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4875,c_1247]) ).
tcf(c_18216,plain,
( mem(iPr_def_24,iPr_def_15)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4875,c_935]) ).
tcf(c_18230,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4876,c_51]) ).
tcf(c_18231,plain,
( mem(iPr_def_24,iPr_def_13)
| mem(iPr_def_24,iPr_def_12)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4876,c_1247]) ).
tcf(c_18232,plain,
( mem(iPr_def_24,iPr_def_15)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4876,c_935]) ).
tcf(c_18248,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_6475]) ).
tcf(c_18249,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_8379,c_52]) ).
tcf(c_18250,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_10,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_2818]) ).
tcf(c_18251,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_1212]) ).
tcf(c_18276,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8382,c_51]) ).
tcf(c_18277,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8382,c_1252]) ).
tcf(c_18280,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8382,c_6479]) ).
tcf(c_18301,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8383,c_51]) ).
tcf(c_18302,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8383,c_1252]) ).
tcf(c_18305,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8383,c_6479]) ).
tcf(c_18336,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8393,c_51]) ).
tcf(c_18337,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8393,c_1252]) ).
tcf(c_18340,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8393,c_6479]) ).
tcf(c_18361,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8396,c_51]) ).
tcf(c_18362,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8396,c_1252]) ).
tcf(c_18365,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8396,c_6479]) ).
tcf(c_18388,plain,
sK0(iPr_def_12,p(e)) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_6759,c_66,c_1189,c_4162]) ).
tcf(c_18390,plain,
( subq(iPr_def_12,p(e))
| ~ mem(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_18388,c_49]) ).
tcf(c_18392,plain,
( subq(iPr_def_12,p(e))
| ~ subq(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_18388,c_783]) ).
tcf(c_18401,plain,
~ mem(iPr_def_10,p(e)),
inference(global_subsumption_just,[status(thm)],[c_18390,c_66,c_1189,c_10200]) ).
tcf(c_18403,plain,
~ subq(iPr_def_10,e),
inference(superposition,[status(thm)],[c_62,c_18401]) ).
tcf(c_18404,plain,
! [X0: $i] : sK0(iPr_def_12,m(p(e),X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4080,c_18401]) ).
tcf(c_18443,plain,
! [X0: $i,X1: $i] : subq(m(X0,X1),X0),
inference(superposition,[status(thm)],[c_1000,c_49]) ).
tcf(c_18444,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_1000,c_51]) ).
tcf(c_18445,plain,
! [X0: $i,X1: $i] : subq(m(e,X0),X1),
inference(superposition,[status(thm)],[c_1000,c_53]) ).
tcf(c_18446,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_1000,c_55]) ).
tcf(c_18447,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_1000,c_58]) ).
tcf(c_18448,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_1000,c_61]) ).
tcf(c_18449,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_1000,c_60]) ).
tcf(c_18450,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_1000,c_63]) ).
tcf(c_18451,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_10,X0),X1)
| mem(sK0(m(iPr_def_10,X0),X1),iPr_def_15) ),
inference(superposition,[status(thm)],[c_1000,c_2826]) ).
tcf(c_18452,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_10,X0),X1)
| mem(sK0(m(iPr_def_10,X0),X1),iPr_def_18) ),
inference(superposition,[status(thm)],[c_1000,c_2825]) ).
tcf(c_18453,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_1000,c_793]) ).
tcf(c_18454,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_1000,c_2828]) ).
tcf(c_18455,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_12,X0),X1)
| mem(sK0(m(iPr_def_12,X0),X1),iPr_def_18) ),
inference(superposition,[status(thm)],[c_1000,c_936]) ).
tcf(c_18456,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_12,X0),X1)
| mem(sK0(m(iPr_def_12,X0),X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_1000,c_881]) ).
tcf(c_18457,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_13,X0),X1)
| mem(sK0(m(iPr_def_13,X0),X1),iPr_def_14) ),
inference(superposition,[status(thm)],[c_1000,c_934]) ).
tcf(c_18458,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_13,X0),X1)
| mem(sK0(m(iPr_def_13,X0),X1),iPr_def_26) ),
inference(superposition,[status(thm)],[c_1000,c_888]) ).
tcf(c_18459,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_13,X0),X1)
| ( sK0(m(iPr_def_13,X0),X1) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1000,c_795]) ).
tcf(c_18460,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_16,X0),X1)
| mem(sK0(m(iPr_def_16,X0),X1),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1000,c_886]) ).
tcf(c_18461,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_16,X0),X1)
| ( sK0(m(iPr_def_16,X0),X1) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1000,c_796]) ).
tcf(c_18462,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_17,X0),X1)
| mem(sK0(m(iPr_def_17,X0),X1),iPr_def_22) ),
inference(superposition,[status(thm)],[c_1000,c_885]) ).
tcf(c_18463,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_17,X0),X1)
| ( sK0(m(iPr_def_17,X0),X1) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1000,c_797]) ).
tcf(c_18464,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_19,X0),X1)
| ( sK0(m(iPr_def_19,X0),X1) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1000,c_798]) ).
tcf(c_18465,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_19,X0),X1)
| mem(sK0(m(iPr_def_19,X0),X1),iPr_def_24) ),
inference(superposition,[status(thm)],[c_1000,c_940]) ).
tcf(c_18466,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_19,X0),X1)
| mem(sK0(m(iPr_def_19,X0),X1),iPr_def_21) ),
inference(superposition,[status(thm)],[c_1000,c_884]) ).
tcf(c_18467,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_1000,c_799]) ).
tcf(c_18468,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_1000,c_937]) ).
tcf(c_18469,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_25,X0),X1)
| ( sK0(m(iPr_def_25,X0),X1) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1000,c_800]) ).
tcf(c_18470,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_25,X0),X1)
| mem(sK0(m(iPr_def_25,X0),X1),iPr_def_28) ),
inference(superposition,[status(thm)],[c_1000,c_943]) ).
tcf(c_18471,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_25,X0),X1)
| mem(sK0(m(iPr_def_25,X0),X1),iPr_def_26) ),
inference(superposition,[status(thm)],[c_1000,c_941]) ).
tcf(c_18472,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_14,X0),X1)
| mem(sK0(m(iPr_def_14,X0),X1),iPr_def_13)
| mem(sK0(m(iPr_def_14,X0),X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_1000,c_1247]) ).
tcf(c_18473,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_1000,c_935]) ).
tcf(c_18474,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_10) ),
inference(superposition,[status(thm)],[c_1000,c_2900]) ).
tcf(c_18475,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_18,X0),X1)
| mem(sK0(m(iPr_def_18,X0),X1),iPr_def_12)
| mem(sK0(m(iPr_def_18,X0),X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_1000,c_2891]) ).
tcf(c_18476,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_18,X0),X1)
| mem(sK0(m(iPr_def_18,X0),X1),iPr_def_24) ),
inference(superposition,[status(thm)],[c_1000,c_887]) ).
tcf(c_18477,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_19) ),
inference(superposition,[status(thm)],[c_1000,c_1250]) ).
tcf(c_18478,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_21,X0),X1)
| mem(sK0(m(iPr_def_21,X0),X1),iPr_def_22) ),
inference(superposition,[status(thm)],[c_1000,c_938]) ).
tcf(c_18479,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_22,X0),X1)
| mem(sK0(m(iPr_def_22,X0),X1),iPr_def_21)
| mem(sK0(m(iPr_def_22,X0),X1),iPr_def_17) ),
inference(superposition,[status(thm)],[c_1000,c_1251]) ).
tcf(c_18480,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_22,X0),X1)
| mem(sK0(m(iPr_def_22,X0),X1),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1000,c_939]) ).
tcf(c_18481,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_23,X0),X1)
| mem(sK0(m(iPr_def_23,X0),X1),iPr_def_22)
| mem(sK0(m(iPr_def_23,X0),X1),iPr_def_16) ),
inference(superposition,[status(thm)],[c_1000,c_1252]) ).
tcf(c_18482,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_23,X0),X1)
| mem(sK0(m(iPr_def_23,X0),X1),iPr_def_28) ),
inference(superposition,[status(thm)],[c_1000,c_890]) ).
tcf(c_18483,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_23,X0),X1)
| mem(sK0(m(iPr_def_23,X0),X1),iPr_def_27) ),
inference(superposition,[status(thm)],[c_1000,c_889]) ).
tcf(c_18484,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_24,X0),X1)
| mem(sK0(m(iPr_def_24,X0),X1),iPr_def_19)
| mem(sK0(m(iPr_def_24,X0),X1),iPr_def_18) ),
inference(superposition,[status(thm)],[c_1000,c_1253]) ).
tcf(c_18485,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_26,X0),X1)
| mem(sK0(m(iPr_def_26,X0),X1),iPr_def_25)
| mem(sK0(m(iPr_def_26,X0),X1),iPr_def_13) ),
inference(superposition,[status(thm)],[c_1000,c_1254]) ).
tcf(c_18486,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_26,X0),X1)
| mem(sK0(m(iPr_def_26,X0),X1),iPr_def_27) ),
inference(superposition,[status(thm)],[c_1000,c_942]) ).
tcf(c_18487,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_27,X0),X1)
| mem(sK0(m(iPr_def_27,X0),X1),iPr_def_26)
| mem(sK0(m(iPr_def_27,X0),X1),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1000,c_1255]) ).
tcf(c_18488,plain,
! [X0: $i,X1: $i] :
( subq(m(iPr_def_28,X0),X1)
| mem(sK0(m(iPr_def_28,X0),X1),iPr_def_25)
| mem(sK0(m(iPr_def_28,X0),X1),iPr_def_23) ),
inference(superposition,[status(thm)],[c_1000,c_1256]) ).
tcf(c_18770,plain,
! [X0: $i,X1: $i] :
( ( m(X0,X1) = X0 )
| ~ subq(X0,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_18443,c_52]) ).
tcf(c_18771,plain,
! [X0: $i] : m(e,X0) = e,
inference(superposition,[status(thm)],[c_18443,c_1212]) ).
tcf(c_18795,plain,
subq(e,e),
inference(superposition,[status(thm)],[c_18771,c_18443]) ).
tcf(c_18796,plain,
! [X0: $i,X1: $i] :
( mem(sK0(e,X1),e)
| subq(m(e,X0),X1) ),
inference(superposition,[status(thm)],[c_18771,c_1000]) ).
tcf(c_18797,plain,
! [X0: $i] :
( subq(e,X0)
| mem(sK0(e,X0),e) ),
inference(light_normalisation,[status(thm)],[c_18796,c_18771]) ).
tcf(c_18808,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_8655,c_51]) ).
tcf(c_18809,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8655,c_1253]) ).
tcf(c_18810,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8655,c_6479]) ).
tcf(c_18855,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(m(p(X0),X1),X2)
| ( sK0(iPr_def_25,sK0(m(p(X0),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18450,c_6475]) ).
tcf(c_18856,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(m(p(X0),X1),X2)
| ( sK0(m(p(X0),X1),X2) = X0 )
| ~ subq(X0,sK0(m(p(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18450,c_52]) ).
tcf(c_18857,plain,
! [X0: $i,X1: $i] : subq(m(p(X0),X1),p(X0)),
inference(superposition,[status(thm)],[c_18450,c_783]) ).
tcf(c_18858,plain,
! [X0: $i,X1: $i] :
( subq(m(p(e),X0),X1)
| ( sK0(m(p(e),X0),X1) = e ) ),
inference(superposition,[status(thm)],[c_18450,c_1212]) ).
tcf(c_18884,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| subq(s(X0),e)
| ( s(X0) = e )
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_2376,c_1123]) ).
tcf(c_18885,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_3883,c_1123]) ).
tcf(c_18887,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_13)
| mem(e,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3896,c_1123]) ).
tcf(c_18888,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_16)
| mem(e,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3898,c_1123]) ).
tcf(c_18889,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_17)
| mem(e,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3900,c_1123]) ).
tcf(c_18890,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_19)
| mem(e,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3901,c_1123]) ).
tcf(c_18891,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_20)
| mem(e,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3904,c_1123]) ).
tcf(c_18892,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_25)
| mem(e,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3906,c_1123]) ).
tcf(c_18893,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_4077,c_1123]) ).
tcf(c_18895,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_18388,c_1123]) ).
tcf(c_18896,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4208,c_1123]) ).
tcf(c_18897,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_4215,c_1123]) ).
tcf(c_18898,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,s(X1))
| ( X1 = iPr_def_15 )
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_4359,c_1123]) ).
tcf(c_18899,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| mem(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_4366,c_1123]) ).
tcf(c_18900,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_4555,c_1123]) ).
tcf(c_18901,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| mem(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_4562,c_1123]) ).
tcf(c_18902,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4865,c_1123]) ).
tcf(c_18903,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| mem(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4872,c_1123]) ).
tcf(c_18904,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_13358,c_1123]) ).
tcf(c_18905,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_5047,c_1123]) ).
tcf(c_18906,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| mem(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_5054,c_1123]) ).
tcf(c_18907,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_5198,c_1123]) ).
tcf(c_18908,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_5205,c_1123]) ).
tcf(c_18909,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_7373,c_1123]) ).
tcf(c_18911,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_1123,c_51]) ).
tcf(c_18912,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_1123,c_53]) ).
tcf(c_18913,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| ( sK0(X0,X2) = X1 )
| ~ subq(X0,s(X1)) ),
inference(superposition,[status(thm)],[c_1123,c_55]) ).
tcf(c_18914,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_1123,c_58]) ).
tcf(c_18915,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_1123,c_61]) ).
tcf(c_18916,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_1123,c_60]) ).
tcf(c_18917,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X2)
| subq(sK0(X0,X2),X1)
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_1123,c_63]) ).
tcf(c_18918,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_15)
| ~ subq(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1123,c_2826]) ).
tcf(c_18919,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_18)
| ~ subq(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1123,c_2825]) ).
tcf(c_18920,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = e )
| ~ subq(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1123,c_793]) ).
tcf(c_18921,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_10 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_1123,c_2828]) ).
tcf(c_18922,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_18)
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_1123,c_936]) ).
tcf(c_18923,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_14)
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_1123,c_881]) ).
tcf(c_18924,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_14)
| ~ subq(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1123,c_934]) ).
tcf(c_18925,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_26)
| ~ subq(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1123,c_888]) ).
tcf(c_18926,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_12 )
| ~ subq(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1123,c_795]) ).
tcf(c_18927,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_23)
| ~ subq(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_1123,c_886]) ).
tcf(c_18928,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_15 )
| ~ subq(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_1123,c_796]) ).
tcf(c_18929,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_22)
| ~ subq(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_1123,c_885]) ).
tcf(c_18930,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_14 )
| ~ subq(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_1123,c_797]) ).
tcf(c_18931,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_18 )
| ~ subq(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1123,c_798]) ).
tcf(c_18932,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_24)
| ~ subq(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1123,c_940]) ).
tcf(c_18933,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_21)
| ~ subq(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1123,c_884]) ).
tcf(c_18934,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_19 )
| ~ subq(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_1123,c_799]) ).
tcf(c_18935,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_1123,c_937]) ).
tcf(c_18936,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = iPr_def_24 )
| ~ subq(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_1123,c_800]) ).
tcf(c_18937,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_28)
| ~ subq(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_1123,c_943]) ).
tcf(c_18938,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_26)
| ~ subq(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_1123,c_941]) ).
tcf(c_18939,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_13)
| mem(sK0(X0,X1),iPr_def_12)
| ~ subq(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1123,c_1247]) ).
tcf(c_18940,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_1123,c_935]) ).
tcf(c_18941,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_14)
| mem(sK0(X0,X1),iPr_def_10)
| ~ subq(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_1123,c_2900]) ).
tcf(c_18942,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_18) ),
inference(superposition,[status(thm)],[c_1123,c_2891]) ).
tcf(c_18943,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_24)
| ~ subq(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_1123,c_887]) ).
tcf(c_18944,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_20)
| mem(sK0(X0,X1),iPr_def_19)
| ~ subq(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_1123,c_1250]) ).
tcf(c_18945,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_22)
| ~ subq(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_1123,c_938]) ).
tcf(c_18946,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_21)
| mem(sK0(X0,X1),iPr_def_17)
| ~ subq(X0,iPr_def_22) ),
inference(superposition,[status(thm)],[c_1123,c_1251]) ).
tcf(c_18947,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_23)
| ~ subq(X0,iPr_def_22) ),
inference(superposition,[status(thm)],[c_1123,c_939]) ).
tcf(c_18948,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_22)
| mem(sK0(X0,X1),iPr_def_16)
| ~ subq(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_1123,c_1252]) ).
tcf(c_18949,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_28)
| ~ subq(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_1123,c_890]) ).
tcf(c_18950,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_27)
| ~ subq(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_1123,c_889]) ).
tcf(c_18951,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_19)
| mem(sK0(X0,X1),iPr_def_18)
| ~ subq(X0,iPr_def_24) ),
inference(superposition,[status(thm)],[c_1123,c_1253]) ).
tcf(c_18952,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_25)
| mem(sK0(X0,X1),iPr_def_13)
| ~ subq(X0,iPr_def_26) ),
inference(superposition,[status(thm)],[c_1123,c_1254]) ).
tcf(c_18953,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_27)
| ~ subq(X0,iPr_def_26) ),
inference(superposition,[status(thm)],[c_1123,c_942]) ).
tcf(c_18954,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_26)
| mem(sK0(X0,X1),iPr_def_23)
| ~ subq(X0,iPr_def_27) ),
inference(superposition,[status(thm)],[c_1123,c_1255]) ).
tcf(c_18955,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),iPr_def_25)
| mem(sK0(X0,X1),iPr_def_23)
| ~ subq(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_1123,c_1256]) ).
tcf(c_19694,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| subq(sK0(p(e),X0),X1) ),
inference(superposition,[status(thm)],[c_773,c_18912]) ).
tcf(c_19696,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK0(s(X0),e) = X0 ) ),
inference(superposition,[status(thm)],[c_791,c_18912]) ).
tcf(c_19699,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X1)
| ( sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_18912]) ).
tcf(c_19701,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_13,p(e)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_18912]) ).
tcf(c_19706,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_20,p(e)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_18912]) ).
tcf(c_19708,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_19,p(e)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_18912]) ).
tcf(c_19711,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_17,p(e)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_18912]) ).
tcf(c_19712,plain,
! [X0: $i] :
( subq(iPr_def_15,X0)
| ( sK0(iPr_def_16,p(e)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_18912]) ).
tcf(c_19715,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(m(p(e),X0),X1)
| subq(sK0(m(p(e),X0),X1),X2) ),
inference(superposition,[status(thm)],[c_18450,c_18912]) ).
tcf(c_19749,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4077,c_2089]) ).
tcf(c_19751,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_18388,c_2089]) ).
tcf(c_19752,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_2089,c_49]) ).
tcf(c_19753,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| mem(sK0(iPr_def_12,X2),X1)
| ~ subq(iPr_def_14,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2089,c_51]) ).
tcf(c_19754,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_2089,c_53]) ).
tcf(c_19755,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_12,X1) = X0 )
| ~ subq(iPr_def_14,s(X0)) ),
inference(superposition,[status(thm)],[c_2089,c_55]) ).
tcf(c_19756,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_14,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2089,c_58]) ).
tcf(c_19757,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| ~ mem(sK0(iPr_def_12,X2),X1)
| ~ subq(iPr_def_14,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2089,c_61]) ).
tcf(c_19758,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| mem(sK0(iPr_def_12,X2),X0)
| ~ subq(iPr_def_14,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2089,c_60]) ).
tcf(c_19759,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(sK0(iPr_def_12,X1),X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_2089,c_63]) ).
tcf(c_19762,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = e )
| ~ subq(iPr_def_14,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2089,c_793]) ).
tcf(c_19767,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_14,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2089,c_888]) ).
tcf(c_19768,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_12 )
| ~ subq(iPr_def_14,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2089,c_795]) ).
tcf(c_19769,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2089,c_886]) ).
tcf(c_19770,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_15 )
| ~ subq(iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2089,c_796]) ).
tcf(c_19771,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2089,c_885]) ).
tcf(c_19772,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_14 )
| ~ subq(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2089,c_797]) ).
tcf(c_19773,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_18 )
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2089,c_798]) ).
tcf(c_19775,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2089,c_884]) ).
tcf(c_19776,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_19 )
| ~ subq(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2089,c_799]) ).
tcf(c_19777,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2089,c_937]) ).
tcf(c_19778,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_24 )
| ~ subq(iPr_def_14,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2089,c_800]) ).
tcf(c_19779,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_14,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2089,c_943]) ).
tcf(c_19780,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_14,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2089,c_941]) ).
tcf(c_19786,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_19)
| ~ subq(iPr_def_14,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2089,c_1250]) ).
tcf(c_19787,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_14,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2089,c_938]) ).
tcf(c_19788,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| mem(sK0(iPr_def_12,X0),iPr_def_17)
| ~ subq(iPr_def_14,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2089,c_1251]) ).
tcf(c_19789,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2089,c_939]) ).
tcf(c_19790,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| mem(sK0(iPr_def_12,X0),iPr_def_16)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2089,c_1252]) ).
tcf(c_19791,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2089,c_890]) ).
tcf(c_19792,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2089,c_889]) ).
tcf(c_19794,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_13)
| ~ subq(iPr_def_14,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2089,c_1254]) ).
tcf(c_19795,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_14,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2089,c_942]) ).
tcf(c_19796,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_27) ),
inference(superposition,[status(thm)],[c_2089,c_1255]) ).
tcf(c_19797,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2089,c_1256]) ).
tcf(c_20040,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_19752]) ).
tcf(c_20049,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_17,p(e)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_19754]) ).
tcf(c_20056,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4879,c_51]) ).
tcf(c_20057,plain,
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4879,c_1252]) ).
tcf(c_20071,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4881,c_51]) ).
tcf(c_20072,plain,
( mem(iPr_def_24,iPr_def_21)
| mem(iPr_def_24,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4881,c_1251]) ).
tcf(c_20073,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4881,c_939]) ).
tcf(c_20092,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_7103]) ).
tcf(c_20107,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_7816,c_51]) ).
tcf(c_20108,plain,
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( iPr_def_12 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_7816,c_799]) ).
tcf(c_20109,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7816,c_937]) ).
tcf(c_20110,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7816,c_6479]) ).
tcf(c_20142,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_7861,c_51]) ).
tcf(c_20143,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7861,c_1251]) ).
tcf(c_20144,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7861,c_939]) ).
tcf(c_20169,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_7891,c_51]) ).
tcf(c_20170,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7891,c_1251]) ).
tcf(c_20171,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7891,c_939]) ).
tcf(c_20198,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,m(s(X1),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8375,c_51]) ).
tcf(c_20199,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,m(s(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8375,c_1252]) ).
tcf(c_20202,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(s(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8375,c_6479]) ).
tcf(c_20223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,X2),X3)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8378,c_51]) ).
tcf(c_20224,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_1252]) ).
tcf(c_20227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X3,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_6479]) ).
tcf(c_20228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,m(m(X0,X2),X3)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_8378,c_51]) ).
tcf(c_20229,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(e,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_53]) ).
tcf(c_20230,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(s(X0),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_55]) ).
tcf(c_20231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(u(X0,X1),X2),X3)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_58]) ).
tcf(c_20232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(m(X1,X0),X2),X3)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_8378,c_61]) ).
tcf(c_20233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(m(X0,X1),X2),X3)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_60]) ).
tcf(c_20234,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(p(X0),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_63]) ).
tcf(c_20236,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(m(iPr_def_10,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_2825]) ).
tcf(c_20237,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(iPr_def_10,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_793]) ).
tcf(c_20238,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(iPr_def_12,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_2828]) ).
tcf(c_20239,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(m(iPr_def_12,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_936]) ).
tcf(c_20244,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(iPr_def_16,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_886]) ).
tcf(c_20245,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,m(m(iPr_def_16,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_796]) ).
tcf(c_20246,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,m(m(iPr_def_17,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_885]) ).
tcf(c_20247,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,m(m(iPr_def_17,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_797]) ).
tcf(c_20248,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(m(iPr_def_19,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_798]) ).
tcf(c_20249,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(iPr_def_19,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_940]) ).
tcf(c_20250,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(m(iPr_def_19,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_884]) ).
tcf(c_20251,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(m(iPr_def_20,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_799]) ).
tcf(c_20252,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(m(iPr_def_20,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_937]) ).
tcf(c_20259,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(m(iPr_def_18,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_2891]) ).
tcf(c_20260,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(iPr_def_18,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_887]) ).
tcf(c_20261,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| ( sK0(iPr_def_25,m(m(iPr_def_21,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_1250]) ).
tcf(c_20262,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| ( sK0(iPr_def_25,m(m(iPr_def_21,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_938]) ).
tcf(c_20263,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_25,m(m(iPr_def_22,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_1251]) ).
tcf(c_20264,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(iPr_def_22,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_939]) ).
tcf(c_20268,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(m(iPr_def_24,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_1253]) ).
tcf(c_20273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X3,X0)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_6479]) ).
tcf(c_20274,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(iPr_def_10,X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_11869]) ).
tcf(c_20275,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(iPr_def_23,X0),X1)) = iPr_def_24 ) ),
inference(equality_factoring,[status(thm)],[c_8378]) ).
tcf(c_20514,plain,
! [X0: $i] :
( subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_4076,c_18917]) ).
tcf(c_20515,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| subq(iPr_def_12,X0)
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_4207,c_18917]) ).
tcf(c_20516,plain,
! [X0: $i] :
( subq(iPr_def_16,e)
| subq(iPr_def_15,X0)
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_4358,c_18917]) ).
tcf(c_20517,plain,
! [X0: $i] :
( subq(iPr_def_17,e)
| subq(iPr_def_14,X0)
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_4554,c_18917]) ).
tcf(c_20518,plain,
! [X0: $i] :
( subq(iPr_def_19,e)
| subq(iPr_def_18,X0)
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_5197,c_18917]) ).
tcf(c_20519,plain,
! [X0: $i] :
( subq(iPr_def_20,e)
| subq(iPr_def_19,X0)
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_5046,c_18917]) ).
tcf(c_20520,plain,
! [X0: $i] :
( subq(iPr_def_25,e)
| subq(iPr_def_24,X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_4864,c_18917]) ).
tcf(c_20521,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| subq(s(X0),e)
| ( s(X0) = e )
| ~ subq(s(X0),p(X1)) ),
inference(superposition,[status(thm)],[c_2376,c_18917]) ).
tcf(c_20530,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_4077,c_18917]) ).
tcf(c_20531,plain,
! [X0: $i] :
( subq(iPr_def_12,iPr_def_10)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_10499,c_18917]) ).
tcf(c_20532,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_18388,c_18917]) ).
tcf(c_20533,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_4208,c_18917]) ).
tcf(c_20534,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| subq(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_4215,c_18917]) ).
tcf(c_20535,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,s(X1))
| ( X1 = iPr_def_15 )
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_4359,c_18917]) ).
tcf(c_20536,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| subq(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_4366,c_18917]) ).
tcf(c_20537,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_4555,c_18917]) ).
tcf(c_20538,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| subq(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_4562,c_18917]) ).
tcf(c_20539,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_4865,c_18917]) ).
tcf(c_20540,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| subq(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_4872,c_18917]) ).
tcf(c_20541,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_13358,c_18917]) ).
tcf(c_20542,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,s(X1))
| ( X1 = iPr_def_19 )
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_5047,c_18917]) ).
tcf(c_20543,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| subq(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_5054,c_18917]) ).
tcf(c_20544,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_5198,c_18917]) ).
tcf(c_20545,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| subq(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_5205,c_18917]) ).
tcf(c_20547,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(X0,X2)
| ( sK0(iPr_def_25,sK0(X0,X2)) = iPr_def_24 )
| ~ subq(X0,p(X1)) ),
inference(superposition,[status(thm)],[c_18917,c_6475]) ).
tcf(c_20548,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,X2)
| ( sK0(X1,X2) = X0 )
| ~ subq(X1,p(X0))
| ~ subq(X0,sK0(X1,X2)) ),
inference(superposition,[status(thm)],[c_18917,c_52]) ).
tcf(c_20550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK0(X0,X1),X2)
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_18917,c_18912]) ).
tcf(c_20551,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(X0,X1) = e )
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_18917,c_1212]) ).
tcf(c_20654,plain,
( subq(iPr_def_25,e)
| subq(iPr_def_24,e)
| ~ subq(iPr_def_25,p(e)) ),
inference(instantiation,[status(thm)],[c_20520]) ).
tcf(c_20656,plain,
( subq(iPr_def_19,e)
| subq(iPr_def_18,e)
| ~ subq(iPr_def_19,p(e)) ),
inference(instantiation,[status(thm)],[c_20518]) ).
tcf(c_20658,plain,
( subq(iPr_def_16,e)
| subq(iPr_def_15,e)
| ~ subq(iPr_def_16,p(e)) ),
inference(instantiation,[status(thm)],[c_20516]) ).
tcf(c_20659,plain,
( subq(iPr_def_13,e)
| subq(iPr_def_12,e)
| ~ subq(iPr_def_13,p(e)) ),
inference(instantiation,[status(thm)],[c_20515]) ).
tcf(c_20695,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_5198,c_2184]) ).
tcf(c_20696,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_5205,c_2184]) ).
tcf(c_20697,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_2184,c_49]) ).
tcf(c_20698,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_21,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2184,c_51]) ).
tcf(c_20699,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_21,e) ),
inference(superposition,[status(thm)],[c_2184,c_53]) ).
tcf(c_20700,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_21,s(X0)) ),
inference(superposition,[status(thm)],[c_2184,c_55]) ).
tcf(c_20701,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_21,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2184,c_58]) ).
tcf(c_20702,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| ~ mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_21,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2184,c_61]) ).
tcf(c_20703,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_21,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2184,c_60]) ).
tcf(c_20704,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_2184,c_63]) ).
tcf(c_20705,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_21,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2184,c_2826]) ).
tcf(c_20706,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_21,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2184,c_2825]) ).
tcf(c_20707,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_21,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2184,c_793]) ).
tcf(c_20708,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_10 )
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2184,c_2828]) ).
tcf(c_20709,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2184,c_936]) ).
tcf(c_20710,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2184,c_881]) ).
tcf(c_20711,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2184,c_934]) ).
tcf(c_20712,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2184,c_888]) ).
tcf(c_20713,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_12 )
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2184,c_795]) ).
tcf(c_20715,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_15 )
| ~ subq(iPr_def_21,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2184,c_796]) ).
tcf(c_20717,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_14 )
| ~ subq(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2184,c_797]) ).
tcf(c_20721,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_19 )
| ~ subq(iPr_def_21,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2184,c_799]) ).
tcf(c_20723,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_24 )
| ~ subq(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2184,c_800]) ).
tcf(c_20725,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2184,c_941]) ).
tcf(c_20726,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| ~ subq(iPr_def_21,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2184,c_1247]) ).
tcf(c_20727,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_21,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2184,c_935]) ).
tcf(c_20728,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_21,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2184,c_2900]) ).
tcf(c_20729,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2184,c_2891]) ).
tcf(c_20739,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| ~ subq(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2184,c_1254]) ).
tcf(c_20878,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4884,c_51]) ).
tcf(c_20879,plain,
( mem(iPr_def_24,iPr_def_19)
| mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4884,c_1253]) ).
tcf(c_20983,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4885,c_51]) ).
tcf(c_20984,plain,
( mem(iPr_def_24,iPr_def_20)
| mem(iPr_def_24,iPr_def_19)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4885,c_1250]) ).
tcf(c_20985,plain,
( mem(iPr_def_24,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4885,c_938]) ).
tcf(c_20999,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_4887,c_51]) ).
tcf(c_21000,plain,
( mem(iPr_def_24,iPr_def_20)
| mem(iPr_def_24,iPr_def_19)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4887,c_1250]) ).
tcf(c_21001,plain,
( mem(iPr_def_24,iPr_def_22)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4887,c_938]) ).
tcf(c_21019,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8629,c_6475]) ).
tcf(c_21020,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_8629,c_52]) ).
tcf(c_21045,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(iPr_def_12))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_782,c_8782]) ).
tcf(c_21046,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,p(X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8629,c_8782]) ).
tcf(c_21047,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,p(X0))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_8782]) ).
tcf(c_21048,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,p(X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6481,c_8782]) ).
tcf(c_21049,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,p(X1)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4212,c_8782]) ).
tcf(c_21050,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_12,X1) = iPr_def_10 )
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2819,c_8782]) ).
tcf(c_21051,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2088,c_8782]) ).
tcf(c_21052,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(iPr_def_18))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2558,c_8782]) ).
tcf(c_21053,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2955,c_8782]) ).
tcf(c_21054,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(iPr_def_24))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3215,c_8782]) ).
tcf(c_21101,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3293,c_7815]) ).
tcf(c_21136,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(p(e),X0)
| ( sK0(iPr_def_25,sK0(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19694,c_6475]) ).
tcf(c_21137,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X1)
| ( sK0(p(e),X1) = X0 )
| ~ subq(X0,sK0(p(e),X1)) ),
inference(superposition,[status(thm)],[c_19694,c_52]) ).
tcf(c_21138,plain,
! [X0: $i] : subq(p(e),p(X0)),
inference(superposition,[status(thm)],[c_19694,c_783]) ).
tcf(c_21156,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4555,c_2210]) ).
tcf(c_21157,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| mem(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4562,c_2210]) ).
tcf(c_21158,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_2210,c_49]) ).
tcf(c_21159,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_22,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2210,c_51]) ).
tcf(c_21160,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ subq(iPr_def_22,e) ),
inference(superposition,[status(thm)],[c_2210,c_53]) ).
tcf(c_21161,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| ( sK0(iPr_def_17,X1) = X0 )
| ~ subq(iPr_def_22,s(X0)) ),
inference(superposition,[status(thm)],[c_2210,c_55]) ).
tcf(c_21162,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_22,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2210,c_58]) ).
tcf(c_21163,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| ~ mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2210,c_61]) ).
tcf(c_21164,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X0)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2210,c_60]) ).
tcf(c_21165,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| subq(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_2210,c_63]) ).
tcf(c_21166,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2210,c_2826]) ).
tcf(c_21167,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2210,c_2825]) ).
tcf(c_21168,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = e )
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2210,c_793]) ).
tcf(c_21169,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_10 )
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2210,c_2828]) ).
tcf(c_21170,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2210,c_936]) ).
tcf(c_21171,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2210,c_881]) ).
tcf(c_21172,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2210,c_934]) ).
tcf(c_21173,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2210,c_888]) ).
tcf(c_21174,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_12 )
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2210,c_795]) ).
tcf(c_21176,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_15 )
| ~ subq(iPr_def_22,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2210,c_796]) ).
tcf(c_21179,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_18 )
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2210,c_798]) ).
tcf(c_21180,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2210,c_940]) ).
tcf(c_21181,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2210,c_884]) ).
tcf(c_21182,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_19 )
| ~ subq(iPr_def_22,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2210,c_799]) ).
tcf(c_21183,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_22,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2210,c_937]) ).
tcf(c_21184,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_24 )
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2210,c_800]) ).
tcf(c_21186,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2210,c_941]) ).
tcf(c_21187,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| mem(sK0(iPr_def_17,X0),iPr_def_12)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2210,c_1247]) ).
tcf(c_21188,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2210,c_935]) ).
tcf(c_21189,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_10)
| ~ subq(iPr_def_22,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2210,c_2900]) ).
tcf(c_21190,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_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2210,c_2891]) ).
tcf(c_21191,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2210,c_887]) ).
tcf(c_21192,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_19)
| ~ subq(iPr_def_22,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2210,c_1250]) ).
tcf(c_21199,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_19)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2210,c_1253]) ).
tcf(c_21200,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_25)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| ~ subq(iPr_def_22,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2210,c_1254]) ).
tcf(c_21367,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,s(X1))
| ( X1 = iPr_def_15 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4359,c_2244]) ).
tcf(c_21368,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| mem(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4366,c_2244]) ).
tcf(c_21369,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2244,c_49]) ).
tcf(c_21370,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| mem(sK0(iPr_def_16,X2),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2244,c_51]) ).
tcf(c_21371,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_23,e) ),
inference(superposition,[status(thm)],[c_2244,c_53]) ).
tcf(c_21372,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| ( sK0(iPr_def_16,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_2244,c_55]) ).
tcf(c_21373,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_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2244,c_58]) ).
tcf(c_21374,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| ~ mem(sK0(iPr_def_16,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2244,c_61]) ).
tcf(c_21375,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| mem(sK0(iPr_def_16,X2),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2244,c_60]) ).
tcf(c_21376,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| subq(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_2244,c_63]) ).
tcf(c_21377,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2244,c_2826]) ).
tcf(c_21378,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2244,c_2825]) ).
tcf(c_21379,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2244,c_793]) ).
tcf(c_21380,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2244,c_2828]) ).
tcf(c_21381,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2244,c_936]) ).
tcf(c_21382,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2244,c_881]) ).
tcf(c_21383,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2244,c_934]) ).
tcf(c_21384,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2244,c_888]) ).
tcf(c_21385,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2244,c_795]) ).
tcf(c_21388,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2244,c_885]) ).
tcf(c_21389,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2244,c_797]) ).
tcf(c_21390,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2244,c_798]) ).
tcf(c_21391,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2244,c_940]) ).
tcf(c_21392,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2244,c_884]) ).
tcf(c_21393,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2244,c_799]) ).
tcf(c_21394,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2244,c_937]) ).
tcf(c_21395,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2244,c_800]) ).
tcf(c_21397,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2244,c_941]) ).
tcf(c_21398,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_13)
| mem(sK0(iPr_def_16,X0),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2244,c_1247]) ).
tcf(c_21399,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2244,c_935]) ).
tcf(c_21400,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_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2244,c_2900]) ).
tcf(c_21401,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_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2244,c_2891]) ).
tcf(c_21402,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2244,c_887]) ).
tcf(c_21403,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_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2244,c_1250]) ).
tcf(c_21404,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2244,c_938]) ).
tcf(c_21405,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| mem(sK0(iPr_def_16,X0),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2244,c_1251]) ).
tcf(c_21410,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_19)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2244,c_1253]) ).
tcf(c_21411,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_25)
| mem(sK0(iPr_def_16,X0),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2244,c_1254]) ).
tcf(c_21675,plain,
! [X0: $i] :
( ( p(X0) = p(e) )
| ~ subq(p(X0),p(e)) ),
inference(superposition,[status(thm)],[c_21138,c_52]) ).
tcf(c_21676,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_21138,c_1127]) ).
tcf(c_21696,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ~ subq(sK0(X0,p(X1)),e) ),
inference(superposition,[status(thm)],[c_21676,c_49]) ).
tcf(c_21697,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ~ subq(X2,e)
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_21676,c_51]) ).
tcf(c_21699,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 )
| ~ subq(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_21676,c_6479]) ).
tcf(c_21717,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(p(e),X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_21699]) ).
tcf(c_21719,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,p(e)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,p(X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4212,c_21699]) ).
tcf(c_21737,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X1)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_8350,c_51]) ).
tcf(c_21738,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8350,c_1251]) ).
tcf(c_21739,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8350,c_939]) ).
tcf(c_21740,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8350,c_6479]) ).
tcf(c_21770,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,X2)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_8370,c_51]) ).
tcf(c_21771,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_1251]) ).
tcf(c_21772,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_939]) ).
tcf(c_21773,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_6479]) ).
tcf(c_21774,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,m(X0,X2)) = iPr_def_24 )
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_8370,c_51]) ).
tcf(c_21775,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(e,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_53]) ).
tcf(c_21777,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(u(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_58]) ).
tcf(c_21778,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X1,X0),X2)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_8370,c_61]) ).
tcf(c_21780,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_63]) ).
tcf(c_21791,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_25,m(iPr_def_16,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_796]) ).
tcf(c_21793,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_25,m(iPr_def_17,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_797]) ).
tcf(c_21795,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_19,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_940]) ).
tcf(c_21805,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_2891]) ).
tcf(c_21806,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_18,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_887]) ).
tcf(c_21807,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_21,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_1250]) ).
tcf(c_21814,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(iPr_def_24,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_1253]) ).
tcf(c_21819,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,X0)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_6479]) ).
tcf(c_21820,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_11869]) ).
tcf(c_21921,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,s(iPr_def_12)),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54,c_8377]) ).
tcf(c_21922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,u(X0,X2)),X3)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_56,c_8377]) ).
tcf(c_21923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,u(X2,X0)),X3)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_57,c_8377]) ).
tcf(c_21924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(m(X1,m(X0,X2)),X3)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_59,c_8377]) ).
tcf(c_21925,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,p(X1)),X2)) = iPr_def_24 )
| ~ subq(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_21676,c_8377]) ).
tcf(c_21926,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,p(X0)),X2)) = iPr_def_24 )
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_62,c_8377]) ).
tcf(c_21927,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_13),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_755,c_8377]) ).
tcf(c_21928,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_26),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1094,c_8377]) ).
tcf(c_21929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_8377]) ).
tcf(c_21930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X3,X0),X4)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_8377]) ).
tcf(c_21931,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_8377]) ).
tcf(c_21932,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_8377]) ).
tcf(c_21933,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_8377]) ).
tcf(c_21934,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_8377]) ).
tcf(c_21935,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_8377]) ).
tcf(c_21936,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_8377]) ).
tcf(c_21937,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_8377]) ).
tcf(c_21938,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_8377]) ).
tcf(c_21939,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,e)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_8377]) ).
tcf(c_21940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X3)
| ( sK0(iPr_def_25,u(X1,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_8377]) ).
tcf(c_21941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(X1,X3)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4211,c_8377]) ).
tcf(c_21942,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_8377]) ).
tcf(c_21943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_8377]) ).
tcf(c_21944,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_8377]) ).
tcf(c_21945,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1898,c_8377]) ).
tcf(c_21946,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_14),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1446,c_8377]) ).
tcf(c_21947,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_15),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1523,c_8377]) ).
tcf(c_21948,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_27),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1675,c_8377]) ).
tcf(c_21949,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2044,c_8377]) ).
tcf(c_21950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X3)
| ( sK0(iPr_def_25,u(X3,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_8377]) ).
tcf(c_21951,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_18),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4217,c_8377]) ).
tcf(c_21952,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_18),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_8377]) ).
tcf(c_21953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X3,iPr_def_23),X4)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_8377]) ).
tcf(c_21954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X2 = iPr_def_12 )
| ( sK0(iPr_def_25,m(s(X2),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8375,c_8377]) ).
tcf(c_21955,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8396,c_8377]) ).
tcf(c_21956,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8393,c_8377]) ).
tcf(c_21957,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8383,c_8377]) ).
tcf(c_21958,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8382,c_8377]) ).
tcf(c_21962,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_8377]) ).
tcf(c_21965,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(iPr_def_22,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_8377]) ).
tcf(c_21966,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(iPr_def_16,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_8377]) ).
tcf(c_21967,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(e,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_8377]) ).
tcf(c_21968,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_8377]) ).
tcf(c_21969,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_8377]) ).
tcf(c_21970,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,e)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_8377]) ).
tcf(c_21971,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_21,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13789,c_8377]) ).
tcf(c_21972,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_20,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8397,c_8377]) ).
tcf(c_21973,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_19,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8395,c_8377]) ).
tcf(c_21974,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_17,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13437,c_8377]) ).
tcf(c_21975,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_12,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8384,c_8377]) ).
tcf(c_21976,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_10,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8381,c_8377]) ).
tcf(c_21977,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_27)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8791,c_8377]) ).
tcf(c_21978,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_15)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8790,c_8377]) ).
tcf(c_21979,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_14)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8789,c_8377]) ).
tcf(c_21980,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_26)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8784,c_8377]) ).
tcf(c_21981,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_13)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8783,c_8377]) ).
tcf(c_21983,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_22,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8409,c_8377]) ).
tcf(c_21984,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_16,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8389,c_8377]) ).
tcf(c_21987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X3) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8787,c_8377]) ).
tcf(c_21988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X3)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_8377]) ).
tcf(c_21992,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8818,c_8377]) ).
tcf(c_21993,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8792,c_8377]) ).
tcf(c_21994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_8377]) ).
tcf(c_21995,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X2 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6477,c_8377]) ).
tcf(c_22006,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_8377]) ).
tcf(c_22008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_8377]) ).
tcf(c_22009,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( X2 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8350,c_8377]) ).
tcf(c_22018,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9027,c_8377]) ).
tcf(c_22020,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8995,c_8377]) ).
tcf(c_22021,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_8377]) ).
tcf(c_22023,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8655,c_8377]) ).
tcf(c_22024,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_18,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8405,c_8377]) ).
tcf(c_22025,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_19,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8394,c_8377]) ).
tcf(c_22026,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10332,c_8377]) ).
tcf(c_22027,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10325,c_8377]) ).
tcf(c_22028,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4235,c_8377]) ).
tcf(c_22029,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4227,c_8377]) ).
tcf(c_22030,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6507,c_8377]) ).
tcf(c_22031,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_21),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9706,c_8377]) ).
tcf(c_22032,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_21),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4230,c_8377]) ).
tcf(c_22033,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_21),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9049,c_8377]) ).
tcf(c_22034,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_21),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4228,c_8377]) ).
tcf(c_22036,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_20),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7816,c_8377]) ).
tcf(c_22037,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_20),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9747,c_8377]) ).
tcf(c_22038,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6142,c_8377]) ).
tcf(c_22793,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_21949,c_51]) ).
tcf(c_22794,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21949,c_1252]) ).
tcf(c_22797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_23),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21949,c_8377]) ).
tcf(c_22798,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21949,c_6479]) ).
tcf(c_22826,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_25),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_22038,c_51]) ).
tcf(c_22827,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22038,c_1252]) ).
tcf(c_22830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_23),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22038,c_8377]) ).
tcf(c_22831,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22038,c_6479]) ).
tcf(c_22900,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_22794,c_51]) ).
tcf(c_22901,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22794,c_1251]) ).
tcf(c_22902,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22794,c_939]) ).
tcf(c_22903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_22),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22794,c_8377]) ).
tcf(c_22904,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22794,c_6479]) ).
tcf(c_22940,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| subq(m(p(e),X0),X1)
| ( sK0(iPr_def_25,sK0(m(p(e),X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19715,c_6475]) ).
tcf(c_22941,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(m(p(e),X1),X2)
| ( sK0(m(p(e),X1),X2) = X0 )
| ~ subq(X0,sK0(m(p(e),X1),X2)) ),
inference(superposition,[status(thm)],[c_19715,c_52]) ).
tcf(c_22942,plain,
! [X0: $i,X1: $i] : subq(m(p(e),X0),p(X1)),
inference(superposition,[status(thm)],[c_19715,c_783]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i] :
( subq(X0,p(X1))
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_18917,c_21696]) ).
tcf(c_23017,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2278,c_49]) ).
tcf(c_23018,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_18,X2)
| mem(sK0(iPr_def_18,X2),X1)
| ~ subq(iPr_def_24,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2278,c_51]) ).
tcf(c_23020,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| ( sK0(iPr_def_18,X1) = X0 )
| ~ subq(iPr_def_24,s(X0)) ),
inference(superposition,[status(thm)],[c_2278,c_55]) ).
tcf(c_23021,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_24,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2278,c_58]) ).
tcf(c_23022,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_18,X2)
| ~ mem(sK0(iPr_def_18,X2),X1)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2278,c_61]) ).
tcf(c_23023,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_18,X2)
| mem(sK0(iPr_def_18,X2),X0)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2278,c_60]) ).
tcf(c_23024,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(sK0(iPr_def_18,X1),X0)
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_2278,c_63]) ).
tcf(c_23025,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_15)
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2278,c_2826]) ).
tcf(c_23026,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_18)
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2278,c_2825]) ).
tcf(c_23027,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = e )
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2278,c_793]) ).
tcf(c_23028,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_10 )
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2278,c_2828]) ).
tcf(c_23029,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_18)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2278,c_936]) ).
tcf(c_23030,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2278,c_881]) ).
tcf(c_23031,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2278,c_934]) ).
tcf(c_23032,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2278,c_888]) ).
tcf(c_23033,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_12 )
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2278,c_795]) ).
tcf(c_23034,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2278,c_886]) ).
tcf(c_23035,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_15 )
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2278,c_796]) ).
tcf(c_23036,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2278,c_885]) ).
tcf(c_23037,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_14 )
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2278,c_797]) ).
tcf(c_23038,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_18 )
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2278,c_798]) ).
tcf(c_23040,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2278,c_884]) ).
tcf(c_23041,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_19 )
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2278,c_799]) ).
tcf(c_23042,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2278,c_937]) ).
tcf(c_23043,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2278,c_800]) ).
tcf(c_23044,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2278,c_943]) ).
tcf(c_23045,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2278,c_941]) ).
tcf(c_23046,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_13)
| mem(sK0(iPr_def_18,X0),iPr_def_12)
| ~ subq(iPr_def_24,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2278,c_1247]) ).
tcf(c_23047,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_15)
| ~ subq(iPr_def_24,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2278,c_935]) ).
tcf(c_23048,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_10)
| ~ subq(iPr_def_24,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2278,c_2900]) ).
tcf(c_23051,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_19)
| ~ subq(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2278,c_1250]) ).
tcf(c_23052,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2278,c_938]) ).
tcf(c_23053,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_21)
| mem(sK0(iPr_def_18,X0),iPr_def_17)
| ~ subq(iPr_def_24,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2278,c_1251]) ).
tcf(c_23054,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2278,c_939]) ).
tcf(c_23055,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_22)
| mem(sK0(iPr_def_18,X0),iPr_def_16)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2278,c_1252]) ).
tcf(c_23056,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2278,c_890]) ).
tcf(c_23057,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2278,c_889]) ).
tcf(c_23059,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_25)
| mem(sK0(iPr_def_18,X0),iPr_def_13)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2278,c_1254]) ).
tcf(c_23060,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2278,c_942]) ).
tcf(c_23061,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_26)
| mem(sK0(iPr_def_18,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_27) ),
inference(superposition,[status(thm)],[c_2278,c_1255]) ).
tcf(c_23062,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| mem(sK0(iPr_def_18,X0),iPr_def_25)
| mem(sK0(iPr_def_18,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2278,c_1256]) ).
tcf(c_23344,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_23017]) ).
tcf(c_23354,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4208,c_2331]) ).
tcf(c_23355,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4215,c_2331]) ).
tcf(c_23356,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_2331,c_49]) ).
tcf(c_23357,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_26,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2331,c_51]) ).
tcf(c_23358,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_26,e) ),
inference(superposition,[status(thm)],[c_2331,c_53]) ).
tcf(c_23359,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_26,s(X0)) ),
inference(superposition,[status(thm)],[c_2331,c_55]) ).
tcf(c_23360,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_26,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2331,c_58]) ).
tcf(c_23361,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_26,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2331,c_61]) ).
tcf(c_23362,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_26,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2331,c_60]) ).
tcf(c_23363,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_2331,c_63]) ).
tcf(c_23365,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_26,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2331,c_2825]) ).
tcf(c_23366,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_26,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2331,c_793]) ).
tcf(c_23367,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_26,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2331,c_2828]) ).
tcf(c_23368,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_26,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2331,c_936]) ).
tcf(c_23373,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2331,c_886]) ).
tcf(c_23374,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_26,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2331,c_796]) ).
tcf(c_23375,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_26,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2331,c_885]) ).
tcf(c_23376,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_26,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2331,c_797]) ).
tcf(c_23377,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2331,c_798]) ).
tcf(c_23378,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2331,c_940]) ).
tcf(c_23379,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2331,c_884]) ).
tcf(c_23380,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_26,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2331,c_799]) ).
tcf(c_23381,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_26,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2331,c_937]) ).
tcf(c_23382,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_26,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2331,c_800]) ).
tcf(c_23383,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| ~ subq(iPr_def_26,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2331,c_943]) ).
tcf(c_23388,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)
| ~ subq(iPr_def_26,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2331,c_2891]) ).
tcf(c_23389,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_26,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2331,c_887]) ).
tcf(c_23390,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ~ subq(iPr_def_26,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2331,c_1250]) ).
tcf(c_23391,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_26,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2331,c_938]) ).
tcf(c_23392,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ~ subq(iPr_def_26,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2331,c_1251]) ).
tcf(c_23393,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2331,c_939]) ).
tcf(c_23394,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_26,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2331,c_1252]) ).
tcf(c_23395,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| ~ subq(iPr_def_26,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2331,c_890]) ).
tcf(c_23397,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_26,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2331,c_1253]) ).
tcf(c_23401,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2331,c_1256]) ).
tcf(c_23678,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,p(X1))
| ( sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22942,c_6475]) ).
tcf(c_23679,plain,
! [X0: $i,X1: $i] :
( ( m(p(e),X1) = p(X0) )
| ~ subq(p(X0),m(p(e),X1)) ),
inference(superposition,[status(thm)],[c_22942,c_52]) ).
tcf(c_23701,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4892,c_51]) ).
tcf(c_23702,plain,
( mem(iPr_def_24,iPr_def_14)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4892,c_2900]) ).
tcf(c_23729,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_25),X2)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_22827,c_51]) ).
tcf(c_23730,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22827,c_1251]) ).
tcf(c_23731,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22827,c_939]) ).
tcf(c_23732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_22),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22827,c_8377]) ).
tcf(c_23733,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22827,c_6479]) ).
tcf(c_23790,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_22901,c_51]) ).
tcf(c_23791,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22901,c_1250]) ).
tcf(c_23792,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22901,c_938]) ).
tcf(c_23793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_21),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22901,c_8377]) ).
tcf(c_23794,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_21)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22901,c_6479]) ).
tcf(c_23855,plain,
! [X0: $i] :
( subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_4076,c_19759]) ).
tcf(c_23856,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_4077,c_19759]) ).
tcf(c_23857,plain,
! [X0: $i] :
( subq(iPr_def_12,iPr_def_10)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_10499,c_19759]) ).
tcf(c_23858,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_18388,c_19759]) ).
tcf(c_23859,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_12,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_12,X1)) = iPr_def_24 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_19759,c_6475]) ).
tcf(c_23860,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_12,X1) = X0 )
| ~ subq(iPr_def_14,p(X0))
| ~ subq(X0,sK0(iPr_def_12,X1)) ),
inference(superposition,[status(thm)],[c_19759,c_52]) ).
tcf(c_23861,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_19759,c_783]) ).
tcf(c_23862,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(sK0(iPr_def_12,X0),X1)
| ~ subq(iPr_def_14,p(e)) ),
inference(superposition,[status(thm)],[c_19759,c_18912]) ).
tcf(c_23863,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = e )
| ~ subq(iPr_def_14,p(e)) ),
inference(superposition,[status(thm)],[c_19759,c_1212]) ).
tcf(c_23864,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ~ subq(iPr_def_14,p(e)) ),
inference(superposition,[status(thm)],[c_19759,c_21696]) ).
tcf(c_23899,plain,
( subq(iPr_def_12,e)
| subq(iPr_def_10,e)
| ~ subq(iPr_def_14,p(e)) ),
inference(instantiation,[status(thm)],[c_23855]) ).
tcf(c_24122,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2439,c_49]) ).
tcf(c_24123,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| mem(sK0(iPr_def_23,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2439,c_51]) ).
tcf(c_24124,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ~ subq(iPr_def_27,e) ),
inference(superposition,[status(thm)],[c_2439,c_53]) ).
tcf(c_24125,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| ( sK0(iPr_def_23,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_2439,c_55]) ).
tcf(c_24126,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| mem(sK0(iPr_def_23,X2),X1)
| mem(sK0(iPr_def_23,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2439,c_58]) ).
tcf(c_24127,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| ~ mem(sK0(iPr_def_23,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2439,c_61]) ).
tcf(c_24128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| mem(sK0(iPr_def_23,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2439,c_60]) ).
tcf(c_24129,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| subq(sK0(iPr_def_23,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_2439,c_63]) ).
tcf(c_24130,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2439,c_2826]) ).
tcf(c_24131,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2439,c_2825]) ).
tcf(c_24132,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2439,c_793]) ).
tcf(c_24133,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2439,c_2828]) ).
tcf(c_24134,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2439,c_936]) ).
tcf(c_24135,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2439,c_881]) ).
tcf(c_24136,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2439,c_934]) ).
tcf(c_24137,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2439,c_888]) ).
tcf(c_24138,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2439,c_795]) ).
tcf(c_24139,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2439,c_886]) ).
tcf(c_24140,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2439,c_796]) ).
tcf(c_24141,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2439,c_885]) ).
tcf(c_24142,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2439,c_797]) ).
tcf(c_24143,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2439,c_798]) ).
tcf(c_24144,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2439,c_940]) ).
tcf(c_24145,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2439,c_884]) ).
tcf(c_24146,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2439,c_799]) ).
tcf(c_24147,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2439,c_937]) ).
tcf(c_24148,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2439,c_800]) ).
tcf(c_24150,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2439,c_941]) ).
tcf(c_24151,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_13)
| mem(sK0(iPr_def_23,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2439,c_1247]) ).
tcf(c_24152,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2439,c_935]) ).
tcf(c_24153,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_14)
| mem(sK0(iPr_def_23,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2439,c_2900]) ).
tcf(c_24154,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_12)
| mem(sK0(iPr_def_23,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2439,c_2891]) ).
tcf(c_24155,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2439,c_887]) ).
tcf(c_24156,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_20)
| mem(sK0(iPr_def_23,X0),iPr_def_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2439,c_1250]) ).
tcf(c_24157,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2439,c_938]) ).
tcf(c_24158,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_21)
| mem(sK0(iPr_def_23,X0),iPr_def_17)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2439,c_1251]) ).
tcf(c_24159,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2439,c_939]) ).
tcf(c_24163,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_19)
| mem(sK0(iPr_def_23,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2439,c_1253]) ).
tcf(c_24164,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_25)
| mem(sK0(iPr_def_23,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2439,c_1254]) ).
tcf(c_24428,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2459,c_49]) ).
tcf(c_24429,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| mem(sK0(iPr_def_23,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2459,c_51]) ).
tcf(c_24430,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ~ subq(iPr_def_28,e) ),
inference(superposition,[status(thm)],[c_2459,c_53]) ).
tcf(c_24431,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| ( sK0(iPr_def_23,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_2459,c_55]) ).
tcf(c_24432,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| mem(sK0(iPr_def_23,X2),X1)
| mem(sK0(iPr_def_23,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2459,c_58]) ).
tcf(c_24433,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| ~ mem(sK0(iPr_def_23,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2459,c_61]) ).
tcf(c_24434,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X2)
| mem(sK0(iPr_def_23,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2459,c_60]) ).
tcf(c_24435,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| subq(sK0(iPr_def_23,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_2459,c_63]) ).
tcf(c_24436,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2459,c_2826]) ).
tcf(c_24437,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2459,c_2825]) ).
tcf(c_24438,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2459,c_793]) ).
tcf(c_24439,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2459,c_2828]) ).
tcf(c_24440,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2459,c_936]) ).
tcf(c_24441,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2459,c_881]) ).
tcf(c_24442,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2459,c_934]) ).
tcf(c_24443,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2459,c_888]) ).
tcf(c_24444,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2459,c_795]) ).
tcf(c_24445,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2459,c_886]) ).
tcf(c_24446,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2459,c_796]) ).
tcf(c_24447,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2459,c_885]) ).
tcf(c_24448,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2459,c_797]) ).
tcf(c_24449,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2459,c_798]) ).
tcf(c_24450,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2459,c_940]) ).
tcf(c_24451,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2459,c_884]) ).
tcf(c_24452,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2459,c_799]) ).
tcf(c_24453,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2459,c_937]) ).
tcf(c_24454,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2459,c_800]) ).
tcf(c_24456,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2459,c_941]) ).
tcf(c_24457,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_13)
| mem(sK0(iPr_def_23,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2459,c_1247]) ).
tcf(c_24458,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2459,c_935]) ).
tcf(c_24459,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_14)
| mem(sK0(iPr_def_23,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2459,c_2900]) ).
tcf(c_24460,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_12)
| mem(sK0(iPr_def_23,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2459,c_2891]) ).
tcf(c_24461,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2459,c_887]) ).
tcf(c_24462,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_20)
| mem(sK0(iPr_def_23,X0),iPr_def_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2459,c_1250]) ).
tcf(c_24463,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2459,c_938]) ).
tcf(c_24464,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_21)
| mem(sK0(iPr_def_23,X0),iPr_def_17)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2459,c_1251]) ).
tcf(c_24465,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2459,c_939]) ).
tcf(c_24469,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_19)
| mem(sK0(iPr_def_23,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2459,c_1253]) ).
tcf(c_24470,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| mem(sK0(iPr_def_23,X0),iPr_def_25)
| mem(sK0(iPr_def_23,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2459,c_1254]) ).
tcf(c_24742,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4893,c_51]) ).
tcf(c_24743,plain,
( mem(iPr_def_24,iPr_def_19)
| mem(iPr_def_24,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4893,c_1253]) ).
tcf(c_24754,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_4895,c_51]) ).
tcf(c_24755,plain,
( mem(iPr_def_24,iPr_def_21)
| mem(iPr_def_24,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4895,c_1251]) ).
tcf(c_24756,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4895,c_939]) ).
tcf(c_24856,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,p(p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8629,c_20514]) ).
tcf(c_24857,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,m(p(p(X0)),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_20514]) ).
tcf(c_24858,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,p(p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6481,c_20514]) ).
tcf(c_24859,plain,
! [X0: $i] :
( subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_13,p(p(X0))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_20514]) ).
tcf(c_24881,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_2500,c_2803]) ).
tcf(c_24889,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4208,c_2526]) ).
tcf(c_24890,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4215,c_2526]) ).
tcf(c_24891,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_2526,c_49]) ).
tcf(c_24892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_14,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2526,c_51]) ).
tcf(c_24893,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_2526,c_53]) ).
tcf(c_24894,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_14,s(X0)) ),
inference(superposition,[status(thm)],[c_2526,c_55]) ).
tcf(c_24895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_14,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2526,c_58]) ).
tcf(c_24896,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_14,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2526,c_61]) ).
tcf(c_24897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_14,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2526,c_60]) ).
tcf(c_24898,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_2526,c_63]) ).
tcf(c_24900,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_14,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2526,c_2825]) ).
tcf(c_24901,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_14,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2526,c_793]) ).
tcf(c_24902,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2526,c_2828]) ).
tcf(c_24903,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2526,c_936]) ).
tcf(c_24908,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2526,c_886]) ).
tcf(c_24909,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2526,c_796]) ).
tcf(c_24910,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2526,c_885]) ).
tcf(c_24911,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2526,c_797]) ).
tcf(c_24912,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2526,c_798]) ).
tcf(c_24913,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2526,c_940]) ).
tcf(c_24914,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2526,c_884]) ).
tcf(c_24915,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2526,c_799]) ).
tcf(c_24916,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2526,c_937]) ).
tcf(c_24917,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_14,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2526,c_800]) ).
tcf(c_24918,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| ~ subq(iPr_def_14,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2526,c_943]) ).
tcf(c_24923,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)
| ~ subq(iPr_def_14,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2526,c_2891]) ).
tcf(c_24924,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_14,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2526,c_887]) ).
tcf(c_24925,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ~ subq(iPr_def_14,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2526,c_1250]) ).
tcf(c_24926,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_14,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2526,c_938]) ).
tcf(c_24927,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ~ subq(iPr_def_14,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2526,c_1251]) ).
tcf(c_24928,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2526,c_939]) ).
tcf(c_24929,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2526,c_1252]) ).
tcf(c_24930,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2526,c_890]) ).
tcf(c_24932,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_14,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2526,c_1253]) ).
tcf(c_24936,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2526,c_1256]) ).
tcf(c_25165,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_24891]) ).
tcf(c_25174,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_17,p(e)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_24893]) ).
tcf(c_25188,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4896,c_51]) ).
tcf(c_25189,plain,
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4896,c_1252]) ).
tcf(c_25208,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_5052,c_51]) ).
tcf(c_25209,plain,
( mem(iPr_def_19,iPr_def_14)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5052,c_2900]) ).
tcf(c_25228,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_5053,c_51]) ).
tcf(c_25229,plain,
( mem(iPr_def_19,iPr_def_12)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5053,c_2891]) ).
tcf(c_25230,plain,
( mem(iPr_def_19,iPr_def_24)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5053,c_887]) ).
tcf(c_25257,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_5056,c_51]) ).
tcf(c_25258,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_5056,c_2891]) ).
tcf(c_25259,plain,
( mem(iPr_def_19,iPr_def_24)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5056,c_887]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X1,X2),X3)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_21944,c_51]) ).
tcf(c_25298,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21944,c_1252]) ).
tcf(c_25301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X3,iPr_def_23),X4)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21944,c_8377]) ).
tcf(c_25302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X3,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21944,c_6479]) ).
tcf(c_25371,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_25),X2)) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_23730,c_51]) ).
tcf(c_25372,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23730,c_1250]) ).
tcf(c_25373,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23730,c_938]) ).
tcf(c_25374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_21),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23730,c_8377]) ).
tcf(c_25375,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_21)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23730,c_6479]) ).
tcf(c_25429,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_23791,c_51]) ).
tcf(c_25430,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23791,c_799]) ).
tcf(c_25431,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23791,c_937]) ).
tcf(c_25432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_20),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23791,c_8377]) ).
tcf(c_25433,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_20)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23791,c_6479]) ).
tcf(c_25479,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3293,c_23790]) ).
tcf(c_25500,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2544,c_49]) ).
tcf(c_25501,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_2544,c_51]) ).
tcf(c_25502,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ~ subq(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_2544,c_53]) ).
tcf(c_25503,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_2544,c_55]) ).
tcf(c_25504,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_2544,c_58]) ).
tcf(c_25505,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_2544,c_61]) ).
tcf(c_25506,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_2544,c_60]) ).
tcf(c_25507,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_2544,c_63]) ).
tcf(c_25509,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_18)
| ~ subq(iPr_def_15,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2544,c_2825]) ).
tcf(c_25510,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_2544,c_793]) ).
tcf(c_25511,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_2544,c_2828]) ).
tcf(c_25512,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_18)
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2544,c_936]) ).
tcf(c_25513,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_14)
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2544,c_881]) ).
tcf(c_25514,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_14)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2544,c_934]) ).
tcf(c_25515,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2544,c_888]) ).
tcf(c_25516,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_14,X0) = iPr_def_12 )
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2544,c_795]) ).
tcf(c_25517,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2544,c_886]) ).
tcf(c_25518,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_14,X0) = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2544,c_796]) ).
tcf(c_25519,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2544,c_885]) ).
tcf(c_25520,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_14,X0) = iPr_def_14 )
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2544,c_797]) ).
tcf(c_25521,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_14,X0) = iPr_def_18 )
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2544,c_798]) ).
tcf(c_25522,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_24)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2544,c_940]) ).
tcf(c_25523,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2544,c_884]) ).
tcf(c_25524,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_2544,c_799]) ).
tcf(c_25525,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2544,c_937]) ).
tcf(c_25526,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_14,X0) = iPr_def_24 )
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2544,c_800]) ).
tcf(c_25527,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2544,c_943]) ).
tcf(c_25528,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2544,c_941]) ).
tcf(c_25532,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_18) ),
inference(superposition,[status(thm)],[c_2544,c_2891]) ).
tcf(c_25533,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_24)
| ~ subq(iPr_def_15,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2544,c_887]) ).
tcf(c_25534,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_19)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2544,c_1250]) ).
tcf(c_25535,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2544,c_938]) ).
tcf(c_25536,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_21)
| mem(sK0(iPr_def_14,X0),iPr_def_17)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2544,c_1251]) ).
tcf(c_25537,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2544,c_939]) ).
tcf(c_25538,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_22)
| mem(sK0(iPr_def_14,X0),iPr_def_16)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2544,c_1252]) ).
tcf(c_25539,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2544,c_890]) ).
tcf(c_25540,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2544,c_889]) ).
tcf(c_25541,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_19)
| mem(sK0(iPr_def_14,X0),iPr_def_18)
| ~ subq(iPr_def_15,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2544,c_1253]) ).
tcf(c_25542,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_25)
| mem(sK0(iPr_def_14,X0),iPr_def_13)
| ~ subq(iPr_def_15,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2544,c_1254]) ).
tcf(c_25543,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2544,c_942]) ).
tcf(c_25544,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_26)
| mem(sK0(iPr_def_14,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_27) ),
inference(superposition,[status(thm)],[c_2544,c_1255]) ).
tcf(c_25545,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_25)
| mem(sK0(iPr_def_14,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2544,c_1256]) ).
tcf(c_25818,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_25500]) ).
tcf(c_25822,plain,
~ subq(iPr_def_15,e),
inference(global_subsumption_just,[status(thm)],[c_25502,c_66,c_1409]) ).
tcf(c_25824,plain,
sK0(iPr_def_16,p(e)) = iPr_def_15,
inference(superposition,[status(thm)],[c_4363,c_25822]) ).
tcf(c_25832,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_4077,c_2559]) ).
tcf(c_25834,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_18388,c_2559]) ).
tcf(c_25835,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_2559,c_49]) ).
tcf(c_25836,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| mem(sK0(iPr_def_12,X2),X1)
| ~ subq(iPr_def_18,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2559,c_51]) ).
tcf(c_25837,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_2559,c_53]) ).
tcf(c_25838,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_12,X1) = X0 )
| ~ subq(iPr_def_18,s(X0)) ),
inference(superposition,[status(thm)],[c_2559,c_55]) ).
tcf(c_25839,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_18,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2559,c_58]) ).
tcf(c_25840,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| ~ mem(sK0(iPr_def_12,X2),X1)
| ~ subq(iPr_def_18,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2559,c_61]) ).
tcf(c_25841,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| mem(sK0(iPr_def_12,X2),X0)
| ~ subq(iPr_def_18,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2559,c_60]) ).
tcf(c_25842,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(sK0(iPr_def_12,X1),X0)
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_2559,c_63]) ).
tcf(c_25845,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = e )
| ~ subq(iPr_def_18,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2559,c_793]) ).
tcf(c_25850,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2559,c_888]) ).
tcf(c_25851,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_12 )
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2559,c_795]) ).
tcf(c_25852,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2559,c_886]) ).
tcf(c_25853,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_15 )
| ~ subq(iPr_def_18,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2559,c_796]) ).
tcf(c_25854,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_18,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2559,c_885]) ).
tcf(c_25855,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_14 )
| ~ subq(iPr_def_18,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2559,c_797]) ).
tcf(c_25856,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_18 )
| ~ subq(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2559,c_798]) ).
tcf(c_25858,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2559,c_884]) ).
tcf(c_25859,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_19 )
| ~ subq(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2559,c_799]) ).
tcf(c_25860,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2559,c_937]) ).
tcf(c_25861,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_24 )
| ~ subq(iPr_def_18,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2559,c_800]) ).
tcf(c_25862,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_18,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2559,c_943]) ).
tcf(c_25863,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_18,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2559,c_941]) ).
tcf(c_25869,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_19)
| ~ subq(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2559,c_1250]) ).
tcf(c_25870,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2559,c_938]) ).
tcf(c_25871,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| mem(sK0(iPr_def_12,X0),iPr_def_17)
| ~ subq(iPr_def_18,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2559,c_1251]) ).
tcf(c_25872,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2559,c_939]) ).
tcf(c_25873,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| mem(sK0(iPr_def_12,X0),iPr_def_16)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2559,c_1252]) ).
tcf(c_25874,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2559,c_890]) ).
tcf(c_25875,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2559,c_889]) ).
tcf(c_25877,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_13)
| ~ subq(iPr_def_18,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2559,c_1254]) ).
tcf(c_25878,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_18,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2559,c_942]) ).
tcf(c_25879,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_27) ),
inference(superposition,[status(thm)],[c_2559,c_1255]) ).
tcf(c_25880,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2559,c_1256]) ).
tcf(c_26212,plain,
( subq(iPr_def_16,p(e))
| ~ mem(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_25824,c_49]) ).
tcf(c_26219,plain,
! [X0: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,p(e))
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_25824,c_18917]) ).
tcf(c_26220,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,p(e))
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_25824,c_1123]) ).
tcf(c_26221,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,p(e))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_25824,c_2244]) ).
tcf(c_26238,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_25835]) ).
tcf(c_26243,plain,
~ subq(iPr_def_18,e),
inference(global_subsumption_just,[status(thm)],[c_25837,c_66,c_1405]) ).
tcf(c_26245,plain,
sK0(iPr_def_19,p(e)) = iPr_def_18,
inference(superposition,[status(thm)],[c_5202,c_26243]) ).
tcf(c_26246,plain,
( subq(iPr_def_19,p(e))
| ~ mem(iPr_def_18,p(e)) ),
inference(superposition,[status(thm)],[c_26245,c_49]) ).
tcf(c_26256,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_26245,c_18917]) ).
tcf(c_26257,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_26245,c_1123]) ).
tcf(c_26258,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_26245,c_2184]) ).
tcf(c_26294,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,m(p(e),X2)) = iPr_def_24 )
| ~ subq(p(X0),X1) ),
inference(superposition,[status(thm)],[c_23678,c_51]) ).
tcf(c_26296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(p(e),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,p(X1)),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23678,c_8377]) ).
tcf(c_26315,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_18,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8404,c_51]) ).
tcf(c_26319,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8404,c_8377]) ).
tcf(c_26320,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8404,c_6479]) ).
tcf(c_26355,plain,
! [X0: $i] :
( subq(iPr_def_16,p(e))
| ( sK0(iPr_def_16,m(p(e),X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_26212]) ).
tcf(c_26366,plain,
! [X0: $i] :
( subq(iPr_def_19,p(e))
| ( sK0(iPr_def_19,m(p(e),X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_26246]) ).
tcf(c_26383,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_5047,c_2601]) ).
tcf(c_26384,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| mem(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_5054,c_2601]) ).
tcf(c_26385,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_2601,c_49]) ).
tcf(c_26386,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_2601,c_51]) ).
tcf(c_26387,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ~ subq(iPr_def_21,e) ),
inference(superposition,[status(thm)],[c_2601,c_53]) ).
tcf(c_26388,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_2601,c_55]) ).
tcf(c_26389,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_2601,c_58]) ).
tcf(c_26390,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_2601,c_61]) ).
tcf(c_26391,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_2601,c_60]) ).
tcf(c_26392,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_2601,c_63]) ).
tcf(c_26393,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_21,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2601,c_2826]) ).
tcf(c_26394,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_21,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2601,c_2825]) ).
tcf(c_26395,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_2601,c_793]) ).
tcf(c_26396,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_2601,c_2828]) ).
tcf(c_26397,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2601,c_936]) ).
tcf(c_26398,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2601,c_881]) ).
tcf(c_26399,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2601,c_934]) ).
tcf(c_26400,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2601,c_888]) ).
tcf(c_26401,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_12 )
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2601,c_795]) ).
tcf(c_26403,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_15 )
| ~ subq(iPr_def_21,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2601,c_796]) ).
tcf(c_26405,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_14 )
| ~ subq(iPr_def_21,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2601,c_797]) ).
tcf(c_26406,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_18 )
| ~ subq(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2601,c_798]) ).
tcf(c_26407,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_21,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2601,c_940]) ).
tcf(c_26411,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_24 )
| ~ subq(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2601,c_800]) ).
tcf(c_26413,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_21,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2601,c_941]) ).
tcf(c_26414,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| mem(sK0(iPr_def_20,X0),iPr_def_12)
| ~ subq(iPr_def_21,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2601,c_1247]) ).
tcf(c_26415,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_2601,c_935]) ).
tcf(c_26416,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_10)
| ~ subq(iPr_def_21,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2601,c_2900]) ).
tcf(c_26417,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_18) ),
inference(superposition,[status(thm)],[c_2601,c_2891]) ).
tcf(c_26418,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2601,c_887]) ).
tcf(c_26426,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_19)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_21,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2601,c_1253]) ).
tcf(c_26427,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_25)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| ~ subq(iPr_def_21,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2601,c_1254]) ).
tcf(c_26646,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_5057,c_51]) ).
tcf(c_26647,plain,
( mem(iPr_def_19,iPr_def_13)
| mem(iPr_def_19,iPr_def_12)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5057,c_1247]) ).
tcf(c_26648,plain,
( mem(iPr_def_19,iPr_def_15)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5057,c_935]) ).
tcf(c_26673,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_5058,c_51]) ).
tcf(c_26674,plain,
( mem(iPr_def_19,iPr_def_13)
| mem(iPr_def_19,iPr_def_12)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5058,c_1247]) ).
tcf(c_26675,plain,
( mem(iPr_def_19,iPr_def_15)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5058,c_935]) ).
tcf(c_26721,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_5059,c_51]) ).
tcf(c_26722,plain,
( mem(iPr_def_19,iPr_def_25)
| mem(iPr_def_19,iPr_def_13)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5059,c_1254]) ).
tcf(c_26741,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(iPr_def_24,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_8413,c_51]) ).
tcf(c_26745,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_24,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8413,c_8377]) ).
tcf(c_26746,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_24,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8413,c_6479]) ).
tcf(c_26769,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(s(iPr_def_12),X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54,c_8779]) ).
tcf(c_26770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(u(X0,X2),X3))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_56,c_8779]) ).
tcf(c_26771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(u(X2,X0),X3))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_57,c_8779]) ).
tcf(c_26772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(X1,u(m(X0,X2),X3))) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_59,c_8779]) ).
tcf(c_26773,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(p(X1),X2))) = iPr_def_24 )
| ~ subq(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_21676,c_8779]) ).
tcf(c_26774,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(p(X0),X2))) = iPr_def_24 )
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_62,c_8779]) ).
tcf(c_26775,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_13,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_755,c_8779]) ).
tcf(c_26776,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_26,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1094,c_8779]) ).
tcf(c_26777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_8779]) ).
tcf(c_26778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X3,u(X0,X4))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_8779]) ).
tcf(c_26779,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_8779]) ).
tcf(c_26780,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_8779]) ).
tcf(c_26781,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_8779]) ).
tcf(c_26782,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_8779]) ).
tcf(c_26783,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_8779]) ).
tcf(c_26784,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_8779]) ).
tcf(c_26785,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_8779]) ).
tcf(c_26786,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_8779]) ).
tcf(c_26787,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,e)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_8779]) ).
tcf(c_26788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X3)
| ( sK0(iPr_def_25,u(X1,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_8779]) ).
tcf(c_26789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(X1,X3)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4211,c_8779]) ).
tcf(c_26790,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_8779]) ).
tcf(c_26791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_8779]) ).
tcf(c_26792,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_8779]) ).
tcf(c_26793,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1898,c_8779]) ).
tcf(c_26794,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_14,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1446,c_8779]) ).
tcf(c_26795,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_15,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1523,c_8779]) ).
tcf(c_26796,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_27,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1675,c_8779]) ).
tcf(c_26797,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2044,c_8779]) ).
tcf(c_26798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X3)
| ( sK0(iPr_def_25,u(X3,X1)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(X1,X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_8779]) ).
tcf(c_26799,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_18,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4217,c_8779]) ).
tcf(c_26800,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_18,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4214,c_8779]) ).
tcf(c_26801,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_24,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8413,c_8779]) ).
tcf(c_26802,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8404,c_8779]) ).
tcf(c_26803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X3,u(iPr_def_23,X4))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21944,c_8779]) ).
tcf(c_26804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_23,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22038,c_8779]) ).
tcf(c_26805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_23,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21949,c_8779]) ).
tcf(c_26806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X3,u(iPr_def_23,X4))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_8779]) ).
tcf(c_26807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X2 = iPr_def_12 )
| ( sK0(iPr_def_25,m(s(X2),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8375,c_8779]) ).
tcf(c_26808,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8396,c_8779]) ).
tcf(c_26809,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8393,c_8779]) ).
tcf(c_26810,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8383,c_8779]) ).
tcf(c_26811,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8382,c_8779]) ).
tcf(c_26815,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_8779]) ).
tcf(c_26818,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(iPr_def_22,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_8779]) ).
tcf(c_26819,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(iPr_def_16,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_8779]) ).
tcf(c_26820,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(e,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_8779]) ).
tcf(c_26821,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_8779]) ).
tcf(c_26822,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_8779]) ).
tcf(c_26823,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,e)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_8779]) ).
tcf(c_26824,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_21,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13789,c_8779]) ).
tcf(c_26825,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_20,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8397,c_8779]) ).
tcf(c_26826,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_19,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8395,c_8779]) ).
tcf(c_26827,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_17,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13437,c_8779]) ).
tcf(c_26828,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_12,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8384,c_8779]) ).
tcf(c_26829,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_10,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8381,c_8779]) ).
tcf(c_26830,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_27)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8791,c_8779]) ).
tcf(c_26831,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_15)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8790,c_8779]) ).
tcf(c_26832,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_14)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8789,c_8779]) ).
tcf(c_26833,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_26)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8784,c_8779]) ).
tcf(c_26834,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_13)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8783,c_8779]) ).
tcf(c_26836,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_22,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8409,c_8779]) ).
tcf(c_26837,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_16,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8389,c_8779]) ).
tcf(c_26840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X3) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8787,c_8779]) ).
tcf(c_26841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X3)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_8779]) ).
tcf(c_26845,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8818,c_8779]) ).
tcf(c_26846,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8792,c_8779]) ).
tcf(c_26847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_8779]) ).
tcf(c_26848,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X2 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6477,c_8779]) ).
tcf(c_26859,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_8779]) ).
tcf(c_26861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_22,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22827,c_8779]) ).
tcf(c_26862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_22,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22794,c_8779]) ).
tcf(c_26863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,m(X2,X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_22,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_8779]) ).
tcf(c_26864,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( X2 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_22,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8350,c_8779]) ).
tcf(c_26873,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_22,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9027,c_8779]) ).
tcf(c_26875,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_22,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8995,c_8779]) ).
tcf(c_26876,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_22,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_8779]) ).
tcf(c_26878,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8655,c_8779]) ).
tcf(c_26879,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_18,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8405,c_8779]) ).
tcf(c_26880,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_19,X2)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8394,c_8779]) ).
tcf(c_26881,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10332,c_8779]) ).
tcf(c_26882,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10325,c_8779]) ).
tcf(c_26883,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4235,c_8779]) ).
tcf(c_26884,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4227,c_8779]) ).
tcf(c_26885,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6507,c_8779]) ).
tcf(c_26886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_21,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23730,c_8779]) ).
tcf(c_26887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_21,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22901,c_8779]) ).
tcf(c_26888,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_21,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9706,c_8779]) ).
tcf(c_26889,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_21,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4230,c_8779]) ).
tcf(c_26890,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_21,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9049,c_8779]) ).
tcf(c_26891,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_21,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4228,c_8779]) ).
tcf(c_26893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_20,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23791,c_8779]) ).
tcf(c_26894,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_20,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7816,c_8779]) ).
tcf(c_26895,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_20,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9747,c_8779]) ).
tcf(c_26896,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6142,c_8779]) ).
tcf(c_26897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(p(e),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(p(X1),X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23678,c_8779]) ).
tcf(c_27559,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_26797,c_51]) ).
tcf(c_27560,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26797,c_1252]) ).
tcf(c_27563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_23,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26797,c_8779]) ).
tcf(c_27564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26797,c_8377]) ).
tcf(c_27565,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26797,c_6479]) ).
tcf(c_27589,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_25,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_26896,c_51]) ).
tcf(c_27590,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26896,c_1252]) ).
tcf(c_27593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_23,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26896,c_8779]) ).
tcf(c_27594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_25,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26896,c_8377]) ).
tcf(c_27595,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26896,c_6479]) ).
tcf(c_27634,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_27560,c_51]) ).
tcf(c_27635,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27560,c_1251]) ).
tcf(c_27636,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27560,c_939]) ).
tcf(c_27637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_22,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27560,c_8779]) ).
tcf(c_27638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27560,c_8377]) ).
tcf(c_27639,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27560,c_6479]) ).
tcf(c_27690,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_2619,c_49]) ).
tcf(c_27691,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_22,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2619,c_51]) ).
tcf(c_27692,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ~ subq(iPr_def_22,e) ),
inference(superposition,[status(thm)],[c_2619,c_53]) ).
tcf(c_27693,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| ( sK0(iPr_def_21,X1) = X0 )
| ~ subq(iPr_def_22,s(X0)) ),
inference(superposition,[status(thm)],[c_2619,c_55]) ).
tcf(c_27694,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_22,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2619,c_58]) ).
tcf(c_27695,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| ~ mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2619,c_61]) ).
tcf(c_27696,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2619,c_60]) ).
tcf(c_27697,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| subq(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_2619,c_63]) ).
tcf(c_27698,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2619,c_2826]) ).
tcf(c_27699,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2619,c_2825]) ).
tcf(c_27700,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = e )
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2619,c_793]) ).
tcf(c_27701,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_10 )
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2619,c_2828]) ).
tcf(c_27702,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2619,c_936]) ).
tcf(c_27703,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2619,c_881]) ).
tcf(c_27704,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2619,c_934]) ).
tcf(c_27705,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2619,c_888]) ).
tcf(c_27706,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_12 )
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2619,c_795]) ).
tcf(c_27708,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_15 )
| ~ subq(iPr_def_22,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2619,c_796]) ).
tcf(c_27710,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_14 )
| ~ subq(iPr_def_22,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2619,c_797]) ).
tcf(c_27711,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_18 )
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2619,c_798]) ).
tcf(c_27712,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2619,c_940]) ).
tcf(c_27713,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2619,c_884]) ).
tcf(c_27714,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_19 )
| ~ subq(iPr_def_22,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2619,c_799]) ).
tcf(c_27715,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_22,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2619,c_937]) ).
tcf(c_27716,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_24 )
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2619,c_800]) ).
tcf(c_27718,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2619,c_941]) ).
tcf(c_27719,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2619,c_1247]) ).
tcf(c_27720,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2619,c_935]) ).
tcf(c_27721,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_22,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2619,c_2900]) ).
tcf(c_27722,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2619,c_2891]) ).
tcf(c_27723,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2619,c_887]) ).
tcf(c_27731,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_19)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2619,c_1253]) ).
tcf(c_27732,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_25)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| ~ subq(iPr_def_22,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2619,c_1254]) ).
tcf(c_27921,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2683,c_49]) ).
tcf(c_27922,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2683,c_51]) ).
tcf(c_27923,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ~ subq(iPr_def_23,e) ),
inference(superposition,[status(thm)],[c_2683,c_53]) ).
tcf(c_27924,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| ( sK0(iPr_def_22,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_2683,c_55]) ).
tcf(c_27925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X1)
| mem(sK0(iPr_def_22,X2),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2683,c_58]) ).
tcf(c_27926,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| ~ mem(sK0(iPr_def_22,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2683,c_61]) ).
tcf(c_27927,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2683,c_60]) ).
tcf(c_27928,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| subq(sK0(iPr_def_22,X1),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_2683,c_63]) ).
tcf(c_27929,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2683,c_2826]) ).
tcf(c_27930,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2683,c_2825]) ).
tcf(c_27931,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2683,c_793]) ).
tcf(c_27932,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2683,c_2828]) ).
tcf(c_27933,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2683,c_936]) ).
tcf(c_27934,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2683,c_881]) ).
tcf(c_27935,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2683,c_934]) ).
tcf(c_27936,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2683,c_888]) ).
tcf(c_27937,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2683,c_795]) ).
tcf(c_27939,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2683,c_796]) ).
tcf(c_27940,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2683,c_885]) ).
tcf(c_27941,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2683,c_797]) ).
tcf(c_27942,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2683,c_798]) ).
tcf(c_27943,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2683,c_940]) ).
tcf(c_27944,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2683,c_884]) ).
tcf(c_27945,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2683,c_799]) ).
tcf(c_27946,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2683,c_937]) ).
tcf(c_27947,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2683,c_800]) ).
tcf(c_27949,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2683,c_941]) ).
tcf(c_27950,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_13)
| mem(sK0(iPr_def_22,X0),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2683,c_1247]) ).
tcf(c_27951,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2683,c_935]) ).
tcf(c_27952,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| mem(sK0(iPr_def_22,X0),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2683,c_2900]) ).
tcf(c_27953,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_12)
| mem(sK0(iPr_def_22,X0),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2683,c_2891]) ).
tcf(c_27954,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2683,c_887]) ).
tcf(c_27955,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_20)
| mem(sK0(iPr_def_22,X0),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2683,c_1250]) ).
tcf(c_27956,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2683,c_938]) ).
tcf(c_27962,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_19)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2683,c_1253]) ).
tcf(c_27963,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_25)
| mem(sK0(iPr_def_22,X0),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2683,c_1254]) ).
tcf(c_28188,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_19) = iPr_def_19 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_5066,c_51]) ).
tcf(c_28189,plain,
( mem(iPr_def_19,iPr_def_19)
| mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,iPr_def_19) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5066,c_1253]) ).
tcf(c_28200,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_25) = iPr_def_19 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_5072,c_51]) ).
tcf(c_28201,plain,
( mem(iPr_def_19,iPr_def_25)
| mem(iPr_def_19,iPr_def_13)
| ( sK0(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5072,c_1254]) ).
tcf(c_28232,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_25,X2))) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_27590,c_51]) ).
tcf(c_28233,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27590,c_1251]) ).
tcf(c_28234,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27590,c_939]) ).
tcf(c_28235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_22,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27590,c_8779]) ).
tcf(c_28236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_25,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_22),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27590,c_8377]) ).
tcf(c_28237,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27590,c_6479]) ).
tcf(c_28295,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_27635,c_51]) ).
tcf(c_28296,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_20)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27635,c_1250]) ).
tcf(c_28297,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27635,c_938]) ).
tcf(c_28298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_21,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27635,c_8779]) ).
tcf(c_28299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_21),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27635,c_8377]) ).
tcf(c_28300,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X2,iPr_def_21)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27635,c_6479]) ).
tcf(c_28352,plain,
! [X0: $i] :
( subq(iPr_def_19,e)
| subq(iPr_def_18,X0)
| ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_20518]) ).
tcf(c_28365,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_5198,c_2707]) ).
tcf(c_28366,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_5205,c_2707]) ).
tcf(c_28367,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_26245,c_2707]) ).
tcf(c_28368,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2707,c_49]) ).
tcf(c_28369,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_24,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2707,c_51]) ).
tcf(c_28371,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_24,s(X0)) ),
inference(superposition,[status(thm)],[c_2707,c_55]) ).
tcf(c_28372,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_24,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2707,c_58]) ).
tcf(c_28373,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| ~ mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2707,c_61]) ).
tcf(c_28374,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2707,c_60]) ).
tcf(c_28375,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_2707,c_63]) ).
tcf(c_28376,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2707,c_2826]) ).
tcf(c_28377,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2707,c_2825]) ).
tcf(c_28378,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2707,c_793]) ).
tcf(c_28379,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_10 )
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2707,c_2828]) ).
tcf(c_28380,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2707,c_936]) ).
tcf(c_28381,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2707,c_881]) ).
tcf(c_28382,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2707,c_934]) ).
tcf(c_28383,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2707,c_888]) ).
tcf(c_28384,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_12 )
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2707,c_795]) ).
tcf(c_28386,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_15 )
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2707,c_796]) ).
tcf(c_28388,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_14 )
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2707,c_797]) ).
tcf(c_28392,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_19 )
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2707,c_799]) ).
tcf(c_28394,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2707,c_800]) ).
tcf(c_28396,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2707,c_941]) ).
tcf(c_28397,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| ~ subq(iPr_def_24,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2707,c_1247]) ).
tcf(c_28398,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_24,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2707,c_935]) ).
tcf(c_28399,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_24,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2707,c_2900]) ).
tcf(c_28400,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_24,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2707,c_2891]) ).
tcf(c_28410,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2707,c_1254]) ).
tcf(c_28605,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_28368]) ).
tcf(c_28615,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4865,c_2721]) ).
tcf(c_28616,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| mem(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_4872,c_2721]) ).
tcf(c_28617,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_13358,c_2721]) ).
tcf(c_28618,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_2721,c_49]) ).
tcf(c_28619,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X1)
| ~ subq(iPr_def_26,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2721,c_51]) ).
tcf(c_28620,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ~ subq(iPr_def_26,e) ),
inference(superposition,[status(thm)],[c_2721,c_53]) ).
tcf(c_28621,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,X1) = X0 )
| ~ subq(iPr_def_26,s(X0)) ),
inference(superposition,[status(thm)],[c_2721,c_55]) ).
tcf(c_28622,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X1)
| mem(sK0(iPr_def_25,X2),X0)
| ~ subq(iPr_def_26,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2721,c_58]) ).
tcf(c_28623,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| ~ mem(sK0(iPr_def_25,X2),X1)
| ~ subq(iPr_def_26,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2721,c_61]) ).
tcf(c_28624,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X0)
| ~ subq(iPr_def_26,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2721,c_60]) ).
tcf(c_28625,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| subq(sK0(iPr_def_25,X1),X0)
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_2721,c_63]) ).
tcf(c_28626,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_15)
| ~ subq(iPr_def_26,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2721,c_2826]) ).
tcf(c_28627,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_26,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2721,c_2825]) ).
tcf(c_28628,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = e )
| ~ subq(iPr_def_26,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2721,c_793]) ).
tcf(c_28629,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_10 )
| ~ subq(iPr_def_26,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2721,c_2828]) ).
tcf(c_28630,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_26,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2721,c_936]) ).
tcf(c_28631,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| ~ subq(iPr_def_26,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2721,c_881]) ).
tcf(c_28632,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| ~ subq(iPr_def_26,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2721,c_934]) ).
tcf(c_28634,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_12 )
| ~ subq(iPr_def_26,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2721,c_795]) ).
tcf(c_28635,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2721,c_886]) ).
tcf(c_28636,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_15 )
| ~ subq(iPr_def_26,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2721,c_796]) ).
tcf(c_28637,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| ~ subq(iPr_def_26,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2721,c_885]) ).
tcf(c_28638,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_14 )
| ~ subq(iPr_def_26,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2721,c_797]) ).
tcf(c_28639,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_18 )
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2721,c_798]) ).
tcf(c_28640,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_24)
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2721,c_940]) ).
tcf(c_28641,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2721,c_884]) ).
tcf(c_28642,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_19 )
| ~ subq(iPr_def_26,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2721,c_799]) ).
tcf(c_28643,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| ~ subq(iPr_def_26,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2721,c_937]) ).
tcf(c_28647,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_13)
| mem(sK0(iPr_def_25,X0),iPr_def_12)
| ~ subq(iPr_def_26,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2721,c_1247]) ).
tcf(c_28648,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_15)
| ~ subq(iPr_def_26,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2721,c_935]) ).
tcf(c_28649,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| mem(sK0(iPr_def_25,X0),iPr_def_10)
| ~ subq(iPr_def_26,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2721,c_2900]) ).
tcf(c_28650,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_12)
| mem(sK0(iPr_def_25,X0),iPr_def_10)
| ~ subq(iPr_def_26,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2721,c_2891]) ).
tcf(c_28651,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_24)
| ~ subq(iPr_def_26,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2721,c_887]) ).
tcf(c_28652,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_20)
| mem(sK0(iPr_def_25,X0),iPr_def_19)
| ~ subq(iPr_def_26,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2721,c_1250]) ).
tcf(c_28653,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| ~ subq(iPr_def_26,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2721,c_938]) ).
tcf(c_28654,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| mem(sK0(iPr_def_25,X0),iPr_def_17)
| ~ subq(iPr_def_26,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2721,c_1251]) ).
tcf(c_28655,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2721,c_939]) ).
tcf(c_28656,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| mem(sK0(iPr_def_25,X0),iPr_def_16)
| ~ subq(iPr_def_26,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2721,c_1252]) ).
tcf(c_28659,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_19)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_26,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2721,c_1253]) ).
tcf(c_28920,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_5074,c_51]) ).
tcf(c_28921,plain,
( mem(iPr_def_19,iPr_def_14)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5074,c_2900]) ).
tcf(c_28932,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_18) = iPr_def_19 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_5075,c_51]) ).
tcf(c_28933,plain,
( mem(iPr_def_19,iPr_def_19)
| mem(iPr_def_19,iPr_def_18)
| ( sK0(iPr_def_20,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5075,c_1253]) ).
tcf(c_28954,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_5203,c_51]) ).
tcf(c_28955,plain,
( mem(iPr_def_18,iPr_def_14)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5203,c_2900]) ).
tcf(c_28995,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2759,c_49]) ).
tcf(c_28996,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2759,c_51]) ).
tcf(c_28997,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ~ subq(iPr_def_27,e) ),
inference(superposition,[status(thm)],[c_2759,c_53]) ).
tcf(c_28998,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_2759,c_55]) ).
tcf(c_28999,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2759,c_58]) ).
tcf(c_29000,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2759,c_61]) ).
tcf(c_29001,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2759,c_60]) ).
tcf(c_29002,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| subq(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_2759,c_63]) ).
tcf(c_29003,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2759,c_2826]) ).
tcf(c_29004,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2759,c_2825]) ).
tcf(c_29005,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2759,c_793]) ).
tcf(c_29006,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2759,c_2828]) ).
tcf(c_29007,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2759,c_936]) ).
tcf(c_29008,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2759,c_881]) ).
tcf(c_29009,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2759,c_934]) ).
tcf(c_29010,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2759,c_888]) ).
tcf(c_29011,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2759,c_795]) ).
tcf(c_29012,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2759,c_886]) ).
tcf(c_29013,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2759,c_796]) ).
tcf(c_29014,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2759,c_885]) ).
tcf(c_29015,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2759,c_797]) ).
tcf(c_29016,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2759,c_798]) ).
tcf(c_29017,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2759,c_940]) ).
tcf(c_29018,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2759,c_884]) ).
tcf(c_29019,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2759,c_799]) ).
tcf(c_29020,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2759,c_937]) ).
tcf(c_29021,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2759,c_800]) ).
tcf(c_29022,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_28)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2759,c_943]) ).
tcf(c_29023,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2759,c_941]) ).
tcf(c_29024,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_13)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2759,c_1247]) ).
tcf(c_29025,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2759,c_935]) ).
tcf(c_29026,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2759,c_2900]) ).
tcf(c_29027,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2759,c_2891]) ).
tcf(c_29028,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2759,c_887]) ).
tcf(c_29029,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_20)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2759,c_1250]) ).
tcf(c_29030,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2759,c_938]) ).
tcf(c_29031,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_17)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2759,c_1251]) ).
tcf(c_29032,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2759,c_939]) ).
tcf(c_29033,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_27,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2759,c_1252]) ).
tcf(c_29034,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_28)
| ~ subq(iPr_def_27,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2759,c_890]) ).
tcf(c_29036,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2759,c_1253]) ).
tcf(c_29040,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_25)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2759,c_1256]) ).
tcf(c_29139,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_25)
| mem(sK0(iPr_def_26,X0),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29040,c_282]) ).
tcf(c_29446,plain,
subq(iPr_def_26,iPr_def_28),
inference(superposition,[status(thm)],[c_282,c_28995]) ).
tcf(c_29449,plain,
( ( iPr_def_26 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29446,c_52]) ).
tcf(c_29451,plain,
subq(iPr_def_13,iPr_def_28),
inference(superposition,[status(thm)],[c_29446,c_23356]) ).
tcf(c_29461,plain,
( ( iPr_def_13 = iPr_def_28 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29451,c_52]) ).
tcf(c_29477,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_5204,c_51]) ).
tcf(c_29478,plain,
( mem(iPr_def_18,iPr_def_12)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5204,c_2891]) ).
tcf(c_29492,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_23) ),
inference(superposition,[status(thm)],[c_29139,c_49]) ).
tcf(c_29493,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29139,c_51]) ).
tcf(c_29494,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29139,c_800]) ).
tcf(c_29495,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_28)
| mem(sK0(iPr_def_26,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_29139,c_943]) ).
tcf(c_29516,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29492,c_51]) ).
tcf(c_29517,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_16) ),
inference(superposition,[status(thm)],[c_29492,c_1252]) ).
tcf(c_29518,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_28) ),
inference(superposition,[status(thm)],[c_29492,c_890]) ).
tcf(c_29519,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_27) ),
inference(superposition,[status(thm)],[c_29492,c_889]) ).
tcf(c_29534,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29495,c_890]) ).
tcf(c_29542,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_29534,c_51]) ).
tcf(c_29554,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29494,c_49]) ).
tcf(c_29555,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29494,c_51]) ).
tcf(c_29556,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29494,c_1252]) ).
tcf(c_29592,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_49]) ).
tcf(c_29593,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29493,c_51]) ).
tcf(c_29594,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_1252]) ).
tcf(c_29595,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_28)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_890]) ).
tcf(c_29596,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_889]) ).
tcf(c_29597,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_49]) ).
tcf(c_29598,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29493,c_51]) ).
tcf(c_29599,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_29493,c_53]) ).
tcf(c_29600,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_29493,c_55]) ).
tcf(c_29601,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29493,c_58]) ).
tcf(c_29602,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29493,c_61]) ).
tcf(c_29603,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29493,c_60]) ).
tcf(c_29604,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| subq(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_29493,c_63]) ).
tcf(c_29605,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29493,c_2826]) ).
tcf(c_29606,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29493,c_2825]) ).
tcf(c_29607,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29493,c_793]) ).
tcf(c_29608,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29493,c_2828]) ).
tcf(c_29609,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29493,c_936]) ).
tcf(c_29610,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29493,c_881]) ).
tcf(c_29611,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29493,c_934]) ).
tcf(c_29613,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29493,c_795]) ).
tcf(c_29614,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29493,c_886]) ).
tcf(c_29615,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29493,c_796]) ).
tcf(c_29616,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29493,c_885]) ).
tcf(c_29617,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29493,c_797]) ).
tcf(c_29618,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29493,c_798]) ).
tcf(c_29619,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29493,c_940]) ).
tcf(c_29620,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29493,c_884]) ).
tcf(c_29621,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29493,c_799]) ).
tcf(c_29622,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29493,c_937]) ).
tcf(c_29626,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_13)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29493,c_1247]) ).
tcf(c_29627,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29493,c_935]) ).
tcf(c_29628,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29493,c_2900]) ).
tcf(c_29629,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29493,c_2891]) ).
tcf(c_29630,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29493,c_887]) ).
tcf(c_29631,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_20)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29493,c_1250]) ).
tcf(c_29632,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29493,c_938]) ).
tcf(c_29633,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_17)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29493,c_1251]) ).
tcf(c_29634,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29493,c_939]) ).
tcf(c_29638,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29493,c_1253]) ).
tcf(c_29643,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(equality_factoring,[status(thm)],[c_29493]) ).
tcf(c_29906,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29554,c_52]) ).
tcf(c_29907,plain,
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29554,c_28618]) ).
tcf(c_29908,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29554,c_23356]) ).
tcf(c_29909,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29554,c_1761]) ).
tcf(c_29910,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29554,c_1329]) ).
tcf(c_29936,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4865,c_2774]) ).
tcf(c_29937,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| mem(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4872,c_2774]) ).
tcf(c_29938,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_13358,c_2774]) ).
tcf(c_29939,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2774,c_49]) ).
tcf(c_29940,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2774,c_51]) ).
tcf(c_29941,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ~ subq(iPr_def_28,e) ),
inference(superposition,[status(thm)],[c_2774,c_53]) ).
tcf(c_29942,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_2774,c_55]) ).
tcf(c_29943,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X1)
| mem(sK0(iPr_def_25,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2774,c_58]) ).
tcf(c_29944,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| ~ mem(sK0(iPr_def_25,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2774,c_61]) ).
tcf(c_29945,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2774,c_60]) ).
tcf(c_29946,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| subq(sK0(iPr_def_25,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_2774,c_63]) ).
tcf(c_29947,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2774,c_2826]) ).
tcf(c_29948,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2774,c_2825]) ).
tcf(c_29949,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2774,c_793]) ).
tcf(c_29950,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2774,c_2828]) ).
tcf(c_29951,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2774,c_936]) ).
tcf(c_29952,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2774,c_881]) ).
tcf(c_29953,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2774,c_934]) ).
tcf(c_29955,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2774,c_795]) ).
tcf(c_29956,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2774,c_886]) ).
tcf(c_29957,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2774,c_796]) ).
tcf(c_29958,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2774,c_885]) ).
tcf(c_29959,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2774,c_797]) ).
tcf(c_29960,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2774,c_798]) ).
tcf(c_29961,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2774,c_940]) ).
tcf(c_29962,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2774,c_884]) ).
tcf(c_29963,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2774,c_799]) ).
tcf(c_29964,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2774,c_937]) ).
tcf(c_29968,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_13)
| mem(sK0(iPr_def_25,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2774,c_1247]) ).
tcf(c_29969,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2774,c_935]) ).
tcf(c_29970,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| mem(sK0(iPr_def_25,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2774,c_2900]) ).
tcf(c_29971,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_12)
| mem(sK0(iPr_def_25,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2774,c_2891]) ).
tcf(c_29972,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2774,c_887]) ).
tcf(c_29973,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_20)
| mem(sK0(iPr_def_25,X0),iPr_def_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2774,c_1250]) ).
tcf(c_29974,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2774,c_938]) ).
tcf(c_29975,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| mem(sK0(iPr_def_25,X0),iPr_def_17)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2774,c_1251]) ).
tcf(c_29976,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2774,c_939]) ).
tcf(c_29977,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| mem(sK0(iPr_def_25,X0),iPr_def_16)
| ~ subq(iPr_def_28,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2774,c_1252]) ).
tcf(c_29980,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_19)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_2774,c_1253]) ).
tcf(c_30208,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_5207,c_51]) ).
tcf(c_30209,plain,
( mem(iPr_def_18,iPr_def_12)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5207,c_2891]) ).
tcf(c_30221,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_5208,c_51]) ).
tcf(c_30222,plain,
( mem(iPr_def_18,iPr_def_13)
| mem(iPr_def_18,iPr_def_12)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5208,c_1247]) ).
tcf(c_30223,plain,
( mem(iPr_def_18,iPr_def_15)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5208,c_935]) ).
tcf(c_30235,plain,
~ mem(iPr_def_11,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_30357,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_5209,c_51]) ).
tcf(c_30358,plain,
( mem(iPr_def_18,iPr_def_13)
| mem(iPr_def_18,iPr_def_12)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5209,c_1247]) ).
tcf(c_30359,plain,
( mem(iPr_def_18,iPr_def_15)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5209,c_935]) ).
tcf(c_30373,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_5210,c_51]) ).
tcf(c_30374,plain,
( mem(iPr_def_18,iPr_def_25)
| mem(iPr_def_18,iPr_def_13)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5210,c_1254]) ).
tcf(c_30389,plain,
( subq(iPr_def_26,iPr_def_25)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29516,c_49]) ).
tcf(c_30390,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29516,c_51]) ).
tcf(c_30391,plain,
( subq(iPr_def_26,iPr_def_25)
| ~ subq(iPr_def_23,e) ),
inference(superposition,[status(thm)],[c_29516,c_53]) ).
tcf(c_30392,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_29516,c_55]) ).
tcf(c_30393,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X1)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29516,c_58]) ).
tcf(c_30394,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_25)
| ~ mem(sK0(iPr_def_26,iPr_def_25),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29516,c_61]) ).
tcf(c_30395,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29516,c_60]) ).
tcf(c_30396,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| subq(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_29516,c_63]) ).
tcf(c_30397,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29516,c_2826]) ).
tcf(c_30398,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29516,c_2825]) ).
tcf(c_30399,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29516,c_793]) ).
tcf(c_30400,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29516,c_2828]) ).
tcf(c_30401,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29516,c_936]) ).
tcf(c_30402,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29516,c_881]) ).
tcf(c_30403,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29516,c_934]) ).
tcf(c_30404,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29516,c_888]) ).
tcf(c_30405,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29516,c_795]) ).
tcf(c_30407,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29516,c_796]) ).
tcf(c_30408,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29516,c_885]) ).
tcf(c_30409,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29516,c_797]) ).
tcf(c_30410,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29516,c_798]) ).
tcf(c_30411,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29516,c_940]) ).
tcf(c_30412,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29516,c_884]) ).
tcf(c_30413,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29516,c_799]) ).
tcf(c_30414,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29516,c_937]) ).
tcf(c_30415,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29516,c_800]) ).
tcf(c_30416,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29516,c_943]) ).
tcf(c_30417,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29516,c_941]) ).
tcf(c_30418,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_13)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29516,c_1247]) ).
tcf(c_30419,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29516,c_935]) ).
tcf(c_30420,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29516,c_2900]) ).
tcf(c_30421,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_12)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29516,c_2891]) ).
tcf(c_30422,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29516,c_887]) ).
tcf(c_30423,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_20)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29516,c_1250]) ).
tcf(c_30424,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29516,c_938]) ).
tcf(c_30425,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29516,c_1251]) ).
tcf(c_30428,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29516,c_890]) ).
tcf(c_30429,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29516,c_889]) ).
tcf(c_30430,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_19)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29516,c_1253]) ).
tcf(c_30431,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29516,c_1254]) ).
tcf(c_30432,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29516,c_942]) ).
tcf(c_30433,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_26)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_29516,c_1255]) ).
tcf(c_30434,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_29516,c_1256]) ).
tcf(c_30529,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30434,c_2458]) ).
tcf(c_30533,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_26)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30433,c_2438]) ).
tcf(c_30607,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29592,c_49]) ).
tcf(c_30608,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29592,c_51]) ).
tcf(c_30609,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_29592,c_53]) ).
tcf(c_30610,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_29592,c_55]) ).
tcf(c_30611,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X1)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29592,c_58]) ).
tcf(c_30612,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_23)
| ~ mem(sK0(iPr_def_26,iPr_def_23),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29592,c_61]) ).
tcf(c_30613,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29592,c_60]) ).
tcf(c_30614,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| subq(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_29592,c_63]) ).
tcf(c_30615,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29592,c_2826]) ).
tcf(c_30616,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29592,c_2825]) ).
tcf(c_30617,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29592,c_793]) ).
tcf(c_30618,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29592,c_2828]) ).
tcf(c_30619,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29592,c_936]) ).
tcf(c_30620,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29592,c_881]) ).
tcf(c_30621,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29592,c_934]) ).
tcf(c_30623,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29592,c_795]) ).
tcf(c_30624,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29592,c_886]) ).
tcf(c_30625,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29592,c_796]) ).
tcf(c_30626,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29592,c_885]) ).
tcf(c_30627,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29592,c_797]) ).
tcf(c_30628,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29592,c_798]) ).
tcf(c_30629,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29592,c_940]) ).
tcf(c_30630,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29592,c_884]) ).
tcf(c_30631,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29592,c_799]) ).
tcf(c_30632,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29592,c_937]) ).
tcf(c_30634,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29592,c_943]) ).
tcf(c_30635,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_26)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29592,c_941]) ).
tcf(c_30636,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_13)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29592,c_1247]) ).
tcf(c_30637,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29592,c_935]) ).
tcf(c_30638,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29592,c_2900]) ).
tcf(c_30639,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_12)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29592,c_2891]) ).
tcf(c_30640,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29592,c_887]) ).
tcf(c_30641,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_20)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29592,c_1250]) ).
tcf(c_30642,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29592,c_938]) ).
tcf(c_30643,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_17)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29592,c_1251]) ).
tcf(c_30644,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29592,c_939]) ).
tcf(c_30645,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29592,c_1252]) ).
tcf(c_30648,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_19)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29592,c_1253]) ).
tcf(c_30649,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_13)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29592,c_1254]) ).
tcf(c_30650,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29592,c_942]) ).
tcf(c_30652,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_28) ),
inference(superposition,[status(thm)],[c_29592,c_1256]) ).
tcf(c_30657,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30650,c_2720]) ).
tcf(c_30675,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30635,c_782]) ).
tcf(c_30678,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30634,c_782]) ).
tcf(c_30748,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30652,c_2773]) ).
tcf(c_30752,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30649,c_2720]) ).
tcf(c_31099,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29597,c_51]) ).
tcf(c_31100,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29597,c_1252]) ).
tcf(c_31119,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,e)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29599,c_51]) ).
tcf(c_31120,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_29599,c_1252]) ).
tcf(c_31137,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29614,c_49]) ).
tcf(c_31138,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29614,c_51]) ).
tcf(c_31139,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29614,c_1252]) ).
tcf(c_31160,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29634,c_49]) ).
tcf(c_31161,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29634,c_51]) ).
tcf(c_31162,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29634,c_1252]) ).
tcf(c_31184,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29643,c_51]) ).
tcf(c_31185,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29643,c_1252]) ).
tcf(c_31204,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_16)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_29517,c_51]) ).
tcf(c_31205,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_17)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_16) ),
inference(superposition,[status(thm)],[c_29517,c_1251]) ).
tcf(c_31221,plain,
! [X0: $i] :
( ~ subq(iPr_def_12,p(X0))
| subq(iPr_def_10,X0) ),
inference(global_subsumption_just,[status(thm)],[c_20531,c_1188,c_20514,c_30235]) ).
tcf(c_31222,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ subq(iPr_def_12,p(X0)) ),
inference(renaming,[status(thm)],[c_31221]) ).
tcf(c_31228,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,p(p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8629,c_31222]) ).
tcf(c_31229,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,m(p(p(X0)),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_31222]) ).
tcf(c_31230,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,p(p(X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6481,c_31222]) ).
tcf(c_31231,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_13,p(p(X0))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_31222]) ).
tcf(c_31261,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_30607]) ).
tcf(c_31273,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_31137]) ).
tcf(c_31282,plain,
~ mem(iPr_def_12,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_31399,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_31160]) ).
tcf(c_31411,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_15)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29605,c_51]) ).
tcf(c_31412,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29605,c_1252]) ).
tcf(c_31436,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29606,c_51]) ).
tcf(c_31437,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29606,c_1252]) ).
tcf(c_31461,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29609,c_51]) ).
tcf(c_31462,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29609,c_1252]) ).
tcf(c_31486,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29610,c_51]) ).
tcf(c_31487,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29610,c_1252]) ).
tcf(c_31511,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29611,c_51]) ).
tcf(c_31512,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29611,c_1252]) ).
tcf(c_31531,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29616,c_939]) ).
tcf(c_31541,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_31531,c_49]) ).
tcf(c_31542,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_31531,c_51]) ).
tcf(c_31543,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_31531,c_1252]) ).
tcf(c_31564,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_31541]) ).
tcf(c_31574,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_4077,c_2956]) ).
tcf(c_31576,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_18388,c_2956]) ).
tcf(c_31577,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2956,c_49]) ).
tcf(c_31578,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_2956,c_51]) ).
tcf(c_31580,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_2956,c_55]) ).
tcf(c_31581,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_2956,c_58]) ).
tcf(c_31582,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_2956,c_61]) ).
tcf(c_31583,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_2956,c_60]) ).
tcf(c_31584,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_2956,c_63]) ).
tcf(c_31587,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_2956,c_793]) ).
tcf(c_31592,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2956,c_888]) ).
tcf(c_31593,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_12 )
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2956,c_795]) ).
tcf(c_31594,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2956,c_886]) ).
tcf(c_31595,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2956,c_796]) ).
tcf(c_31596,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2956,c_885]) ).
tcf(c_31597,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_14 )
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2956,c_797]) ).
tcf(c_31598,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_18 )
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2956,c_798]) ).
tcf(c_31600,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2956,c_884]) ).
tcf(c_31601,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_2956,c_799]) ).
tcf(c_31602,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2956,c_937]) ).
tcf(c_31603,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_24 )
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2956,c_800]) ).
tcf(c_31604,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2956,c_943]) ).
tcf(c_31605,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2956,c_941]) ).
tcf(c_31611,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_19)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2956,c_1250]) ).
tcf(c_31612,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2956,c_938]) ).
tcf(c_31613,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| mem(sK0(iPr_def_12,X0),iPr_def_17)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2956,c_1251]) ).
tcf(c_31614,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2956,c_939]) ).
tcf(c_31615,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| mem(sK0(iPr_def_12,X0),iPr_def_16)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2956,c_1252]) ).
tcf(c_31616,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2956,c_890]) ).
tcf(c_31617,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2956,c_889]) ).
tcf(c_31619,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_13)
| ~ subq(iPr_def_15,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2956,c_1254]) ).
tcf(c_31620,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2956,c_942]) ).
tcf(c_31621,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_27) ),
inference(superposition,[status(thm)],[c_2956,c_1255]) ).
tcf(c_31622,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2956,c_1256]) ).
tcf(c_31768,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_31577]) ).
tcf(c_31778,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,s(X1))
| ( X1 = e )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3883,c_2992]) ).
tcf(c_31780,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_13)
| mem(e,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3896,c_2992]) ).
tcf(c_31781,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_16)
| mem(e,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3898,c_2992]) ).
tcf(c_31782,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_17)
| mem(e,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3900,c_2992]) ).
tcf(c_31783,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_19)
| mem(e,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3901,c_2992]) ).
tcf(c_31784,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_20)
| mem(e,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3904,c_2992]) ).
tcf(c_31785,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_25)
| mem(e,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3906,c_2992]) ).
tcf(c_31786,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(iPr_def_12,X1))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_7373,c_2992]) ).
tcf(c_31787,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2992,c_49]) ).
tcf(c_31788,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| mem(sK0(iPr_def_10,X2),X1)
| ~ subq(iPr_def_24,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_2992,c_51]) ).
tcf(c_31790,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| ( sK0(iPr_def_10,X1) = X0 )
| ~ subq(iPr_def_24,s(X0)) ),
inference(superposition,[status(thm)],[c_2992,c_55]) ).
tcf(c_31791,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_24,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_2992,c_58]) ).
tcf(c_31792,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| ~ mem(sK0(iPr_def_10,X2),X1)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2992,c_61]) ).
tcf(c_31793,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| mem(sK0(iPr_def_10,X2),X0)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2992,c_60]) ).
tcf(c_31794,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(sK0(iPr_def_10,X1),X0)
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_2992,c_63]) ).
tcf(c_31798,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_10 )
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2992,c_2828]) ).
tcf(c_31800,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2992,c_881]) ).
tcf(c_31801,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2992,c_934]) ).
tcf(c_31802,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2992,c_888]) ).
tcf(c_31803,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_12 )
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2992,c_795]) ).
tcf(c_31804,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2992,c_886]) ).
tcf(c_31805,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_15 )
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2992,c_796]) ).
tcf(c_31806,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2992,c_885]) ).
tcf(c_31807,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_14 )
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2992,c_797]) ).
tcf(c_31808,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_18 )
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2992,c_798]) ).
tcf(c_31810,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2992,c_884]) ).
tcf(c_31811,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_19 )
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2992,c_799]) ).
tcf(c_31812,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_2992,c_937]) ).
tcf(c_31813,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2992,c_800]) ).
tcf(c_31814,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2992,c_943]) ).
tcf(c_31815,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_2992,c_941]) ).
tcf(c_31816,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_13)
| mem(sK0(iPr_def_10,X0),iPr_def_12)
| ~ subq(iPr_def_24,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2992,c_1247]) ).
tcf(c_31821,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_19)
| ~ subq(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2992,c_1250]) ).
tcf(c_31822,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_2992,c_938]) ).
tcf(c_31823,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| mem(sK0(iPr_def_10,X0),iPr_def_17)
| ~ subq(iPr_def_24,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2992,c_1251]) ).
tcf(c_31824,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_22) ),
inference(superposition,[status(thm)],[c_2992,c_939]) ).
tcf(c_31825,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| mem(sK0(iPr_def_10,X0),iPr_def_16)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2992,c_1252]) ).
tcf(c_31826,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2992,c_890]) ).
tcf(c_31827,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2992,c_889]) ).
tcf(c_31829,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_25)
| mem(sK0(iPr_def_10,X0),iPr_def_13)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2992,c_1254]) ).
tcf(c_31830,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2992,c_942]) ).
tcf(c_31831,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_27) ),
inference(superposition,[status(thm)],[c_2992,c_1255]) ).
tcf(c_31832,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_25)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_28) ),
inference(superposition,[status(thm)],[c_2992,c_1256]) ).
tcf(c_32136,plain,
~ mem(iPr_def_15,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_32259,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_31787]) ).
tcf(c_32266,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_25) = iPr_def_18 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_5223,c_51]) ).
tcf(c_32267,plain,
( mem(iPr_def_18,iPr_def_25)
| mem(iPr_def_18,iPr_def_13)
| ( sK0(iPr_def_19,iPr_def_25) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5223,c_1254]) ).
tcf(c_32280,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_14) = iPr_def_18 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_5225,c_51]) ).
tcf(c_32281,plain,
( mem(iPr_def_18,iPr_def_14)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_14) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5225,c_2900]) ).
tcf(c_32296,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29619,c_49]) ).
tcf(c_32297,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_29619,c_51]) ).
tcf(c_32298,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29619,c_1253]) ).
tcf(c_32322,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29620,c_51]) ).
tcf(c_32323,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29620,c_1252]) ).
tcf(c_32347,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29622,c_51]) ).
tcf(c_32348,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29622,c_1252]) ).
tcf(c_32372,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_15)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29627,c_51]) ).
tcf(c_32373,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29627,c_1252]) ).
tcf(c_32396,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29630,c_49]) ).
tcf(c_32397,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_29630,c_51]) ).
tcf(c_32398,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29630,c_1253]) ).
tcf(c_32417,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29632,c_939]) ).
tcf(c_32427,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_32417,c_49]) ).
tcf(c_32428,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_32417,c_51]) ).
tcf(c_32429,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_32417,c_1252]) ).
tcf(c_32452,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29555,c_49]) ).
tcf(c_32453,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| ( sK0(iPr_def_26,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29555,c_51]) ).
tcf(c_32454,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,e) ),
inference(superposition,[status(thm)],[c_29555,c_53]) ).
tcf(c_32455,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_29555,c_55]) ).
tcf(c_32456,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_26,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29555,c_58]) ).
tcf(c_32457,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| ( sK0(iPr_def_26,X2) = iPr_def_24 )
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29555,c_61]) ).
tcf(c_32458,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_26,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29555,c_60]) ).
tcf(c_32459,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| subq(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_29555,c_63]) ).
tcf(c_32460,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29555,c_2826]) ).
tcf(c_32461,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29555,c_2825]) ).
tcf(c_32462,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29555,c_793]) ).
tcf(c_32463,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29555,c_2828]) ).
tcf(c_32464,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29555,c_936]) ).
tcf(c_32465,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29555,c_881]) ).
tcf(c_32466,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29555,c_934]) ).
tcf(c_32467,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29555,c_888]) ).
tcf(c_32468,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29555,c_795]) ).
tcf(c_32470,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29555,c_796]) ).
tcf(c_32471,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29555,c_885]) ).
tcf(c_32472,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29555,c_797]) ).
tcf(c_32473,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29555,c_798]) ).
tcf(c_32474,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29555,c_940]) ).
tcf(c_32475,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29555,c_884]) ).
tcf(c_32476,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ( sK0(iPr_def_26,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29555,c_799]) ).
tcf(c_32477,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29555,c_937]) ).
tcf(c_32478,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29555,c_800]) ).
tcf(c_32480,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29555,c_941]) ).
tcf(c_32481,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_13)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29555,c_1247]) ).
tcf(c_32482,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29555,c_935]) ).
tcf(c_32483,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29555,c_2900]) ).
tcf(c_32484,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29555,c_2891]) ).
tcf(c_32485,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29555,c_887]) ).
tcf(c_32486,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_20)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29555,c_1250]) ).
tcf(c_32487,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29555,c_938]) ).
tcf(c_32488,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_17)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29555,c_1251]) ).
tcf(c_32493,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29555,c_1253]) ).
tcf(c_32821,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_25,sK0(iPr_def_26,X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_29604,c_6475]) ).
tcf(c_32822,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_25,p(X0))
| ~ subq(X0,sK0(iPr_def_26,X1)) ),
inference(superposition,[status(thm)],[c_29604,c_52]) ).
tcf(c_32823,plain,
! [X0: $i] :
( subq(iPr_def_26,p(X0))
| mem(sK0(iPr_def_26,p(X0)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_29604,c_783]) ).
tcf(c_32824,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| subq(sK0(iPr_def_26,X0),X1)
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_29604,c_18912]) ).
tcf(c_32825,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_29604,c_1212]) ).
tcf(c_32826,plain,
! [X0: $i] :
( subq(iPr_def_26,p(X0))
| mem(sK0(iPr_def_26,p(X0)),iPr_def_23)
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_29604,c_21696]) ).
tcf(c_32861,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_20541]) ).
tcf(c_32876,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_32427]) ).
tcf(c_32888,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_5198,c_3006]) ).
tcf(c_32889,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_5205,c_3006]) ).
tcf(c_32890,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_26245,c_3006]) ).
tcf(c_32891,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_3006,c_49]) ).
tcf(c_32892,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_22,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3006,c_51]) ).
tcf(c_32893,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_22,e) ),
inference(superposition,[status(thm)],[c_3006,c_53]) ).
tcf(c_32894,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_22,s(X0)) ),
inference(superposition,[status(thm)],[c_3006,c_55]) ).
tcf(c_32895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_22,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3006,c_58]) ).
tcf(c_32896,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| ~ mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3006,c_61]) ).
tcf(c_32897,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3006,c_60]) ).
tcf(c_32898,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_3006,c_63]) ).
tcf(c_32899,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3006,c_2826]) ).
tcf(c_32900,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3006,c_2825]) ).
tcf(c_32901,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3006,c_793]) ).
tcf(c_32902,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_10 )
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3006,c_2828]) ).
tcf(c_32903,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3006,c_936]) ).
tcf(c_32904,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3006,c_881]) ).
tcf(c_32905,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3006,c_934]) ).
tcf(c_32906,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3006,c_888]) ).
tcf(c_32907,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_12 )
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3006,c_795]) ).
tcf(c_32909,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_15 )
| ~ subq(iPr_def_22,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3006,c_796]) ).
tcf(c_32911,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_14 )
| ~ subq(iPr_def_22,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3006,c_797]) ).
tcf(c_32915,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_19 )
| ~ subq(iPr_def_22,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3006,c_799]) ).
tcf(c_32917,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_24 )
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3006,c_800]) ).
tcf(c_32919,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3006,c_941]) ).
tcf(c_32920,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3006,c_1247]) ).
tcf(c_32921,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3006,c_935]) ).
tcf(c_32922,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_22,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3006,c_2900]) ).
tcf(c_32923,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3006,c_2891]) ).
tcf(c_32933,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| ~ subq(iPr_def_22,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3006,c_1254]) ).
tcf(c_33244,plain,
~ mem(iPr_def_14,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_33370,plain,
~ subq(iPr_def_22,e),
inference(global_subsumption_just,[status(thm)],[c_32893,c_1179,c_33244]) ).
tcf(c_33376,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_13) = e )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5402,c_51]) ).
tcf(c_33377,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_13) = e ) ),
inference(superposition,[status(thm)],[c_5402,c_1255]) ).
tcf(c_33388,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_16) = e )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5428,c_51]) ).
tcf(c_33398,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_16) = e )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5429,c_51]) ).
tcf(c_33412,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = e )
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29607,c_51]) ).
tcf(c_33413,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29607,c_1252]) ).
tcf(c_33437,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29608,c_51]) ).
tcf(c_33438,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29608,c_1252]) ).
tcf(c_33462,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29613,c_51]) ).
tcf(c_33463,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29613,c_1252]) ).
tcf(c_33489,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29618,c_51]) ).
tcf(c_33490,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29618,c_1252]) ).
tcf(c_33514,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29621,c_51]) ).
tcf(c_33515,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29621,c_1252]) ).
tcf(c_33538,plain,
( subq(iPr_def_26,iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),iPr_def_16)
| ( sK0(iPr_def_26,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29556,c_49]) ).
tcf(c_33539,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_29556,c_51]) ).
tcf(c_33540,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_17)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29556,c_1251]) ).
tcf(c_33541,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29556,c_939]) ).
tcf(c_33567,plain,
! [X0: $i] :
( subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_4076,c_20550]) ).
tcf(c_33568,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| subq(iPr_def_12,X0)
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_4207,c_20550]) ).
tcf(c_33569,plain,
! [X0: $i] :
( subq(iPr_def_16,e)
| subq(iPr_def_15,X0)
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_4358,c_20550]) ).
tcf(c_33570,plain,
! [X0: $i] :
( subq(iPr_def_17,e)
| subq(iPr_def_14,X0)
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_4554,c_20550]) ).
tcf(c_33571,plain,
! [X0: $i] :
( subq(iPr_def_19,e)
| subq(iPr_def_18,X0)
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_5197,c_20550]) ).
tcf(c_33572,plain,
! [X0: $i] :
( subq(iPr_def_20,e)
| subq(iPr_def_19,X0)
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_5046,c_20550]) ).
tcf(c_33573,plain,
! [X0: $i] :
( subq(iPr_def_25,e)
| subq(iPr_def_24,X0)
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_4864,c_20550]) ).
tcf(c_33574,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| subq(s(X0),e)
| ( s(X0) = e )
| ~ subq(s(X0),p(e)) ),
inference(superposition,[status(thm)],[c_2376,c_20550]) ).
tcf(c_33575,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(iPr_def_10,s(X0))
| ( X0 = e )
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_3883,c_20550]) ).
tcf(c_33583,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,s(X0))
| ( X0 = iPr_def_10 )
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_4077,c_20550]) ).
tcf(c_33584,plain,
! [X0: $i] :
( subq(iPr_def_12,iPr_def_10)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_10499,c_20550]) ).
tcf(c_33586,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_4208,c_20550]) ).
tcf(c_33587,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| subq(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_4215,c_20550]) ).
tcf(c_33588,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X1)
| subq(iPr_def_16,s(X0))
| ( X0 = iPr_def_15 )
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_4359,c_20550]) ).
tcf(c_33589,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| subq(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_4366,c_20550]) ).
tcf(c_33591,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| subq(iPr_def_17,s(X0))
| ( X0 = iPr_def_14 )
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_4555,c_20550]) ).
tcf(c_33592,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| subq(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_4562,c_20550]) ).
tcf(c_33593,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X1)
| subq(iPr_def_25,s(X0))
| ( X0 = iPr_def_24 )
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_4865,c_20550]) ).
tcf(c_33594,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| subq(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_4872,c_20550]) ).
tcf(c_33596,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,s(X0))
| ( X0 = iPr_def_19 )
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_5047,c_20550]) ).
tcf(c_33597,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| subq(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_5054,c_20550]) ).
tcf(c_33598,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,s(X0))
| ( X0 = iPr_def_18 )
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_5198,c_20550]) ).
tcf(c_33599,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| subq(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_5205,c_20550]) ).
tcf(c_33601,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(iPr_def_10,m(iPr_def_12,X0))
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_7373,c_20550]) ).
tcf(c_33602,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| subq(X0,X1)
| ( sK0(iPr_def_25,sK0(X0,X1)) = iPr_def_24 )
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_20550,c_6475]) ).
tcf(c_33603,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X1,X2)
| ( sK0(X1,X2) = X0 )
| ~ subq(X1,p(e))
| ~ subq(X0,sK0(X1,X2)) ),
inference(superposition,[status(thm)],[c_20550,c_52]) ).
tcf(c_33704,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4555,c_3024]) ).
tcf(c_33705,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| mem(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4562,c_3024]) ).
tcf(c_33706,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3024,c_49]) ).
tcf(c_33707,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3024,c_51]) ).
tcf(c_33708,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ subq(iPr_def_23,e) ),
inference(superposition,[status(thm)],[c_3024,c_53]) ).
tcf(c_33709,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| ( sK0(iPr_def_17,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_3024,c_55]) ).
tcf(c_33710,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_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3024,c_58]) ).
tcf(c_33711,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| ~ mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3024,c_61]) ).
tcf(c_33712,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3024,c_60]) ).
tcf(c_33713,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| subq(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_3024,c_63]) ).
tcf(c_33714,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3024,c_2826]) ).
tcf(c_33715,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3024,c_2825]) ).
tcf(c_33716,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3024,c_793]) ).
tcf(c_33717,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3024,c_2828]) ).
tcf(c_33718,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3024,c_936]) ).
tcf(c_33719,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3024,c_881]) ).
tcf(c_33720,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3024,c_934]) ).
tcf(c_33721,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3024,c_888]) ).
tcf(c_33722,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3024,c_795]) ).
tcf(c_33724,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3024,c_796]) ).
tcf(c_33727,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3024,c_798]) ).
tcf(c_33728,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3024,c_940]) ).
tcf(c_33729,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3024,c_884]) ).
tcf(c_33730,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3024,c_799]) ).
tcf(c_33731,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3024,c_937]) ).
tcf(c_33732,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3024,c_800]) ).
tcf(c_33734,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3024,c_941]) ).
tcf(c_33735,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| mem(sK0(iPr_def_17,X0),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3024,c_1247]) ).
tcf(c_33736,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3024,c_935]) ).
tcf(c_33737,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_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3024,c_2900]) ).
tcf(c_33738,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_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3024,c_2891]) ).
tcf(c_33739,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3024,c_887]) ).
tcf(c_33740,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_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3024,c_1250]) ).
tcf(c_33747,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_19)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3024,c_1253]) ).
tcf(c_33748,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_25)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3024,c_1254]) ).
tcf(c_34032,plain,
~ subq(iPr_def_23,e),
inference(global_subsumption_just,[status(thm)],[c_33708,c_1178,c_32136]) ).
tcf(c_34041,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,s(X1))
| ( X1 = iPr_def_15 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4359,c_3075]) ).
tcf(c_34042,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| mem(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4366,c_3075]) ).
tcf(c_34043,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,p(e))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_25824,c_3075]) ).
tcf(c_34044,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3075,c_49]) ).
tcf(c_34045,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| mem(sK0(iPr_def_16,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3075,c_51]) ).
tcf(c_34046,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_28,e) ),
inference(superposition,[status(thm)],[c_3075,c_53]) ).
tcf(c_34047,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| ( sK0(iPr_def_16,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_3075,c_55]) ).
tcf(c_34048,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_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3075,c_58]) ).
tcf(c_34049,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| ~ mem(sK0(iPr_def_16,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3075,c_61]) ).
tcf(c_34050,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| mem(sK0(iPr_def_16,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3075,c_60]) ).
tcf(c_34051,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| subq(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_3075,c_63]) ).
tcf(c_34052,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3075,c_2826]) ).
tcf(c_34053,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3075,c_2825]) ).
tcf(c_34054,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3075,c_793]) ).
tcf(c_34055,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3075,c_2828]) ).
tcf(c_34056,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3075,c_936]) ).
tcf(c_34057,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3075,c_881]) ).
tcf(c_34058,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3075,c_934]) ).
tcf(c_34059,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3075,c_888]) ).
tcf(c_34060,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3075,c_795]) ).
tcf(c_34063,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3075,c_885]) ).
tcf(c_34064,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3075,c_797]) ).
tcf(c_34065,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3075,c_798]) ).
tcf(c_34066,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3075,c_940]) ).
tcf(c_34067,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3075,c_884]) ).
tcf(c_34068,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3075,c_799]) ).
tcf(c_34069,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3075,c_937]) ).
tcf(c_34070,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3075,c_800]) ).
tcf(c_34072,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3075,c_941]) ).
tcf(c_34073,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_13)
| mem(sK0(iPr_def_16,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3075,c_1247]) ).
tcf(c_34074,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3075,c_935]) ).
tcf(c_34075,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_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3075,c_2900]) ).
tcf(c_34076,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_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3075,c_2891]) ).
tcf(c_34077,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3075,c_887]) ).
tcf(c_34078,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_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3075,c_1250]) ).
tcf(c_34079,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3075,c_938]) ).
tcf(c_34080,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| mem(sK0(iPr_def_16,X0),iPr_def_17)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3075,c_1251]) ).
tcf(c_34085,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_19)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3075,c_1253]) ).
tcf(c_34086,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_25)
| mem(sK0(iPr_def_16,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3075,c_1254]) ).
tcf(c_34252,plain,
~ mem(iPr_def_18,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_34375,plain,
~ subq(iPr_def_28,e),
inference(global_subsumption_just,[status(thm)],[c_34046,c_2049,c_31282]) ).
tcf(c_34381,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_17) = e )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5443,c_51]) ).
tcf(c_34382,plain,
( mem(e,iPr_def_22)
| mem(e,iPr_def_16)
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_5443,c_1252]) ).
tcf(c_34383,plain,
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_5443,c_890]) ).
tcf(c_34384,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_17) = e ) ),
inference(superposition,[status(thm)],[c_5443,c_889]) ).
tcf(c_34399,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_19) = e )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_5753,c_51]) ).
tcf(c_34400,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_17)
| ( sK0(iPr_def_10,iPr_def_19) = e ) ),
inference(superposition,[status(thm)],[c_5753,c_1251]) ).
tcf(c_34401,plain,
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_19) = e ) ),
inference(superposition,[status(thm)],[c_5753,c_939]) ).
tcf(c_34418,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = X0 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_29600]) ).
tcf(c_34440,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_29603]) ).
tcf(c_34441,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),e)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_18771,c_29603]) ).
tcf(c_34455,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_26)) ),
inference(superposition,[status(thm)],[c_50,c_29602]) ).
tcf(c_34456,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,s(sK0(iPr_def_26,X1)))) ),
inference(superposition,[status(thm)],[c_54,c_29602]) ).
tcf(c_34457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| ~ mem(sK0(iPr_def_26,X3),X1)
| ~ subq(iPr_def_25,m(X0,u(X1,X2))) ),
inference(superposition,[status(thm)],[c_56,c_29602]) ).
tcf(c_34458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| ~ mem(sK0(iPr_def_26,X3),X2)
| ~ subq(iPr_def_25,m(X0,u(X1,X2))) ),
inference(superposition,[status(thm)],[c_57,c_29602]) ).
tcf(c_34459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| mem(sK0(iPr_def_26,X3),X2)
| ~ mem(sK0(iPr_def_26,X3),X1)
| ~ subq(iPr_def_25,m(X0,m(X1,X2))) ),
inference(superposition,[status(thm)],[c_59,c_29602]) ).
tcf(c_34460,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ subq(sK0(iPr_def_26,X2),e)
| ~ subq(iPr_def_25,m(X0,p(X1))) ),
inference(superposition,[status(thm)],[c_21676,c_29602]) ).
tcf(c_34461,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ subq(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,m(X0,p(X1))) ),
inference(superposition,[status(thm)],[c_62,c_29602]) ).
tcf(c_34462,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ subq(iPr_def_26,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_1123,c_29602]) ).
tcf(c_34463,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_1674,c_29602]) ).
tcf(c_34464,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ( sK0(iPr_def_26,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29555,c_29602]) ).
tcf(c_34465,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29493,c_29602]) ).
tcf(c_34466,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ subq(iPr_def_27,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2759,c_29602]) ).
tcf(c_34467,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_25)) ),
inference(superposition,[status(thm)],[c_29139,c_29602]) ).
tcf(c_34468,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29621,c_29602]) ).
tcf(c_34469,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29618,c_29602]) ).
tcf(c_34470,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29613,c_29602]) ).
tcf(c_34471,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29608,c_29602]) ).
tcf(c_34472,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = e )
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29607,c_29602]) ).
tcf(c_34473,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_32417,c_29602]) ).
tcf(c_34474,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29627,c_29602]) ).
tcf(c_34475,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29622,c_29602]) ).
tcf(c_34476,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29620,c_29602]) ).
tcf(c_34477,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_31531,c_29602]) ).
tcf(c_34478,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29611,c_29602]) ).
tcf(c_34479,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29610,c_29602]) ).
tcf(c_34480,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29609,c_29602]) ).
tcf(c_34481,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29606,c_29602]) ).
tcf(c_34482,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29605,c_29602]) ).
tcf(c_34484,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29634,c_29602]) ).
tcf(c_34485,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29614,c_29602]) ).
tcf(c_34486,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,e)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29599,c_29602]) ).
tcf(c_34487,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29597,c_29602]) ).
tcf(c_34488,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29494,c_29602]) ).
tcf(c_34489,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_29556,c_29602]) ).
tcf(c_34490,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_25,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_29630,c_29602]) ).
tcf(c_34491,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_29619,c_29602]) ).
tcf(c_34492,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_29534,c_29602]) ).
tcf(c_34494,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29493,c_29602]) ).
tcf(c_35013,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_34467]) ).
tcf(c_35025,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35013,c_49]) ).
tcf(c_35026,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_35013,c_51]) ).
tcf(c_35027,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35013,c_1252]) ).
tcf(c_35028,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_28)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35013,c_890]) ).
tcf(c_35029,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35013,c_889]) ).
tcf(c_35030,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_35013,c_29602]) ).
tcf(c_35062,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_1463,c_34465]) ).
tcf(c_35063,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,e)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_18771,c_34465]) ).
tcf(c_35083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),X2)
| mem(sK0(iPr_def_26,X3),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(iPr_def_23,X2)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29593,c_51]) ).
tcf(c_35085,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| ( sK0(iPr_def_26,X2) = X0 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_29593,c_55]) ).
tcf(c_35086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),X2)
| mem(sK0(iPr_def_26,X3),X1)
| mem(sK0(iPr_def_26,X3),X0)
| ~ subq(iPr_def_23,X2)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_58]) ).
tcf(c_35087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X3)
| ~ subq(iPr_def_23,X3)
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_61]) ).
tcf(c_35088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),X2)
| mem(sK0(iPr_def_26,X3),X0)
| ~ subq(iPr_def_23,X2)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_60]) ).
tcf(c_35089,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| subq(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_29593,c_63]) ).
tcf(c_35097,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_888]) ).
tcf(c_35099,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_886]) ).
tcf(c_35100,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_796]) ).
tcf(c_35101,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_885]) ).
tcf(c_35102,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_797]) ).
tcf(c_35104,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_24)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_940]) ).
tcf(c_35108,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_25)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_800]) ).
tcf(c_35109,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_28)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_25)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_943]) ).
tcf(c_35110,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_25)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_941]) ).
tcf(c_35111,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_13)
| mem(sK0(iPr_def_26,X1),iPr_def_12)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1247]) ).
tcf(c_35113,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),iPr_def_10)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_15)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2900]) ).
tcf(c_35114,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_12)
| mem(sK0(iPr_def_26,X1),iPr_def_10)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2891]) ).
tcf(c_35115,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_24)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_887]) ).
tcf(c_35116,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_20)
| mem(sK0(iPr_def_26,X1),iPr_def_19)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1250]) ).
tcf(c_35117,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_938]) ).
tcf(c_35118,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),iPr_def_17)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1251]) ).
tcf(c_35119,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_939]) ).
tcf(c_35120,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1252]) ).
tcf(c_35122,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_889]) ).
tcf(c_35123,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_19)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1253]) ).
tcf(c_35124,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_13)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_26)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1254]) ).
tcf(c_35125,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_26)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_942]) ).
tcf(c_35126,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_27)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1255]) ).
tcf(c_35127,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_28)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1256]) ).
tcf(c_35128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| mem(sK0(iPr_def_26,X3),X2)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X2)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_29602]) ).
tcf(c_35129,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_49]) ).
tcf(c_35130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),X2)
| mem(sK0(iPr_def_26,X3),X1)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29593,c_51]) ).
tcf(c_35132,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| ( sK0(iPr_def_26,X2) = X0 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_29593,c_55]) ).
tcf(c_35133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),X2)
| mem(sK0(iPr_def_26,X3),X1)
| mem(sK0(iPr_def_26,X3),X0)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_58]) ).
tcf(c_35134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X3)
| ~ subq(iPr_def_25,X3)
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_61]) ).
tcf(c_35135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),X2)
| mem(sK0(iPr_def_26,X3),X0)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_60]) ).
tcf(c_35136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| subq(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_29593,c_63]) ).
tcf(c_35137,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_15)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2826]) ).
tcf(c_35138,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2825]) ).
tcf(c_35139,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = e )
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_793]) ).
tcf(c_35140,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2828]) ).
tcf(c_35141,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_936]) ).
tcf(c_35142,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_881]) ).
tcf(c_35143,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_934]) ).
tcf(c_35144,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_888]) ).
tcf(c_35145,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_795]) ).
tcf(c_35146,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_886]) ).
tcf(c_35147,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_796]) ).
tcf(c_35148,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_885]) ).
tcf(c_35149,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_797]) ).
tcf(c_35150,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_798]) ).
tcf(c_35151,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_24)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_940]) ).
tcf(c_35152,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_884]) ).
tcf(c_35153,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_799]) ).
tcf(c_35154,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_20)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_937]) ).
tcf(c_35155,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_26,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_800]) ).
tcf(c_35156,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_28)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_25)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_943]) ).
tcf(c_35157,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_25)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_941]) ).
tcf(c_35158,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_13)
| mem(sK0(iPr_def_26,X1),iPr_def_12)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1247]) ).
tcf(c_35159,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_15)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_935]) ).
tcf(c_35160,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),iPr_def_10)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_15)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2900]) ).
tcf(c_35161,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_12)
| mem(sK0(iPr_def_26,X1),iPr_def_10)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_2891]) ).
tcf(c_35162,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_24)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_887]) ).
tcf(c_35163,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_20)
| mem(sK0(iPr_def_26,X1),iPr_def_19)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1250]) ).
tcf(c_35164,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_938]) ).
tcf(c_35165,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),iPr_def_17)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_22)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1251]) ).
tcf(c_35166,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_22)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_939]) ).
tcf(c_35167,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1252]) ).
tcf(c_35168,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_28)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_890]) ).
tcf(c_35169,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_889]) ).
tcf(c_35170,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_19)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_24)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1253]) ).
tcf(c_35171,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_13)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_26)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1254]) ).
tcf(c_35172,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_26)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_942]) ).
tcf(c_35173,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_27)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1255]) ).
tcf(c_35174,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,iPr_def_28)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_1256]) ).
tcf(c_35175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| mem(sK0(iPr_def_26,X3),X2)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29593,c_29602]) ).
tcf(c_35176,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0)
| ~ subq(iPr_def_23,X0) ),
inference(equality_factoring,[status(thm)],[c_29593]) ).
tcf(c_35278,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_27)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35125,c_2720]) ).
tcf(c_35308,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35110,c_782]) ).
tcf(c_35313,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_28)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35109,c_782]) ).
tcf(c_35441,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35174,c_2458]) ).
tcf(c_35447,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35173,c_2438]) ).
tcf(c_35496,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35127,c_2773]) ).
tcf(c_35502,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_26)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35126,c_3381]) ).
tcf(c_35508,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_25)
| mem(sK0(iPr_def_26,X1),iPr_def_13)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35124,c_2720]) ).
tcf(c_35753,plain,
! [X0: $i] :
( subq(iPr_def_19,e)
| subq(iPr_def_18,X0)
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_5197,c_20704]) ).
tcf(c_35754,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_5198,c_20704]) ).
tcf(c_35755,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| subq(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_5205,c_20704]) ).
tcf(c_35756,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_26245,c_20704]) ).
tcf(c_35757,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_19,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_19,X1)) = iPr_def_24 )
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_20704,c_6475]) ).
tcf(c_35758,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_21,p(X0))
| ~ subq(X0,sK0(iPr_def_19,X1)) ),
inference(superposition,[status(thm)],[c_20704,c_52]) ).
tcf(c_35759,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_20704,c_783]) ).
tcf(c_35760,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(sK0(iPr_def_19,X0),X1)
| ~ subq(iPr_def_21,p(e)) ),
inference(superposition,[status(thm)],[c_20704,c_18912]) ).
tcf(c_35761,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_21,p(e)) ),
inference(superposition,[status(thm)],[c_20704,c_1212]) ).
tcf(c_35762,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ~ subq(iPr_def_21,p(e)) ),
inference(superposition,[status(thm)],[c_20704,c_21696]) ).
tcf(c_35939,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35025,c_6475]) ).
tcf(c_35940,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_35025,c_52]) ).
tcf(c_35941,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35025,c_28618]) ).
tcf(c_35942,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35025,c_23356]) ).
tcf(c_35943,plain,
! [X0: $i] :
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35025,c_1761]) ).
tcf(c_35969,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,s(X1))
| ( X1 = iPr_def_15 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4359,c_3096]) ).
tcf(c_35970,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| mem(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4366,c_3096]) ).
tcf(c_35971,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,p(e))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_25824,c_3096]) ).
tcf(c_35972,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3096,c_49]) ).
tcf(c_35973,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| mem(sK0(iPr_def_16,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3096,c_51]) ).
tcf(c_35974,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_27,e) ),
inference(superposition,[status(thm)],[c_3096,c_53]) ).
tcf(c_35975,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| ( sK0(iPr_def_16,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3096,c_55]) ).
tcf(c_35976,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_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3096,c_58]) ).
tcf(c_35977,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| ~ mem(sK0(iPr_def_16,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3096,c_61]) ).
tcf(c_35978,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X2)
| mem(sK0(iPr_def_16,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3096,c_60]) ).
tcf(c_35979,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| subq(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3096,c_63]) ).
tcf(c_35980,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3096,c_2826]) ).
tcf(c_35981,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3096,c_2825]) ).
tcf(c_35982,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3096,c_793]) ).
tcf(c_35983,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3096,c_2828]) ).
tcf(c_35984,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3096,c_936]) ).
tcf(c_35985,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3096,c_881]) ).
tcf(c_35986,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3096,c_934]) ).
tcf(c_35987,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3096,c_888]) ).
tcf(c_35988,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3096,c_795]) ).
tcf(c_35991,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3096,c_885]) ).
tcf(c_35992,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3096,c_797]) ).
tcf(c_35993,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3096,c_798]) ).
tcf(c_35994,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3096,c_940]) ).
tcf(c_35995,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3096,c_884]) ).
tcf(c_35996,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3096,c_799]) ).
tcf(c_35997,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3096,c_937]) ).
tcf(c_35998,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3096,c_800]) ).
tcf(c_36000,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3096,c_941]) ).
tcf(c_36001,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_13)
| mem(sK0(iPr_def_16,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3096,c_1247]) ).
tcf(c_36002,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3096,c_935]) ).
tcf(c_36003,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_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3096,c_2900]) ).
tcf(c_36004,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_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3096,c_2891]) ).
tcf(c_36005,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3096,c_887]) ).
tcf(c_36006,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_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3096,c_1250]) ).
tcf(c_36007,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3096,c_938]) ).
tcf(c_36008,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_21)
| mem(sK0(iPr_def_16,X0),iPr_def_17)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3096,c_1251]) ).
tcf(c_36013,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_19)
| mem(sK0(iPr_def_16,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3096,c_1253]) ).
tcf(c_36014,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_25)
| mem(sK0(iPr_def_16,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3096,c_1254]) ).
tcf(c_36179,plain,
~ mem(iPr_def_24,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_36303,plain,
~ subq(iPr_def_27,e),
inference(global_subsumption_just,[status(thm)],[c_35974,c_1769,c_31282]) ).
tcf(c_36309,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_20) = e )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_5819,c_51]) ).
tcf(c_36310,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_17)
| ( sK0(iPr_def_10,iPr_def_20) = e ) ),
inference(superposition,[status(thm)],[c_5819,c_1251]) ).
tcf(c_36311,plain,
( mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_20) = e ) ),
inference(superposition,[status(thm)],[c_5819,c_939]) ).
tcf(c_36324,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_25) = e )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5844,c_51]) ).
tcf(c_36325,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_23)
| ( sK0(iPr_def_10,iPr_def_25) = e ) ),
inference(superposition,[status(thm)],[c_5844,c_1255]) ).
tcf(c_36336,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_21) = e )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5860,c_51]) ).
tcf(c_36337,plain,
( mem(e,iPr_def_22)
| mem(e,iPr_def_16)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_5860,c_1252]) ).
tcf(c_36338,plain,
( mem(e,iPr_def_28)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_5860,c_890]) ).
tcf(c_36339,plain,
( mem(e,iPr_def_27)
| ( sK0(iPr_def_10,iPr_def_21) = e ) ),
inference(superposition,[status(thm)],[c_5860,c_889]) ).
tcf(c_36354,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_22) = e )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5876,c_51]) ).
tcf(c_36370,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),X1)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_763,c_29598]) ).
tcf(c_36371,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(p(X0),X1)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,sK0(p(X0),X1)) ),
inference(superposition,[status(thm)],[c_773,c_29598]) ).
tcf(c_36373,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ( sK0(s(X0),X1) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_791,c_29598]) ).
tcf(c_36374,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4081,c_29598]) ).
tcf(c_36375,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_10,X0) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_831,c_29598]) ).
tcf(c_36376,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_8629,c_29598]) ).
tcf(c_36377,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_8379,c_29598]) ).
tcf(c_36378,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_6481,c_29598]) ).
tcf(c_36379,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_13,p(X0)) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4212,c_29598]) ).
tcf(c_36380,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_12,X0) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2819,c_29598]) ).
tcf(c_36381,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_849,c_29598]) ).
tcf(c_36382,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_16,X0) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_858,c_29598]) ).
tcf(c_36383,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_17,X0) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_867,c_29598]) ).
tcf(c_36384,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_5051,c_29598]) ).
tcf(c_36385,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_19,X0) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1469,c_29598]) ).
tcf(c_36386,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_5202,c_29598]) ).
tcf(c_36387,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_20,X0) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_1466,c_29598]) ).
tcf(c_36388,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_1463,c_29598]) ).
tcf(c_36389,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4559,c_29598]) ).
tcf(c_36390,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_4363,c_29598]) ).
tcf(c_36391,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_4869,c_29598]) ).
tcf(c_36412,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2955,c_29598]) ).
tcf(c_36413,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2991,c_29598]) ).
tcf(c_36414,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3005,c_29598]) ).
tcf(c_36419,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3192,c_29598]) ).
tcf(c_36420,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3215,c_29598]) ).
tcf(c_36421,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3275,c_29598]) ).
tcf(c_36426,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3459,c_29598]) ).
tcf(c_36429,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3579,c_29598]) ).
tcf(c_36437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| mem(sK0(iPr_def_26,X3),X0)
| subq(m(p(X0),X1),X2)
| ~ subq(iPr_def_25,sK0(m(p(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18450,c_29598]) ).
tcf(c_36438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X3)
| subq(X0,X1)
| mem(sK0(iPr_def_26,X3),iPr_def_23)
| mem(sK0(iPr_def_26,X3),X2)
| ~ subq(X0,p(X2))
| ~ subq(iPr_def_25,sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18917,c_29598]) ).
tcf(c_36439,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X1)
| subq(p(e),X0)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X2)
| ~ subq(iPr_def_25,sK0(p(e),X0)) ),
inference(superposition,[status(thm)],[c_19694,c_29598]) ).
tcf(c_36440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X3)
| subq(m(p(e),X0),X1)
| ~ subq(iPr_def_25,sK0(m(p(e),X0),X1)) ),
inference(superposition,[status(thm)],[c_19715,c_29598]) ).
tcf(c_36441,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_14,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_19759,c_29598]) ).
tcf(c_36442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_26,X2)
| subq(X0,X1)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X3)
| ~ subq(X0,p(e))
| ~ subq(iPr_def_25,sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20550,c_29598]) ).
tcf(c_36443,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_19,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_21,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_20704,c_29598]) ).
tcf(c_36444,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),p(X1))
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_21138,c_29598]) ).
tcf(c_36445,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),p(X2))
| ~ subq(iPr_def_25,m(p(e),X0)) ),
inference(superposition,[status(thm)],[c_22942,c_29598]) ).
tcf(c_36447,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29554,c_29598]) ).
tcf(c_36449,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_26,X0)) ),
inference(superposition,[status(thm)],[c_29604,c_29598]) ).
tcf(c_36485,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36447,c_2720]) ).
tcf(c_36497,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36388,c_782]) ).
tcf(c_36852,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),iPr_def_16)
| mem(sK0(iPr_def_26,iPr_def_22),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29594,c_49]) ).
tcf(c_36853,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_29594,c_51]) ).
tcf(c_36854,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_21)
| mem(sK0(iPr_def_26,X1),iPr_def_17)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29594,c_1251]) ).
tcf(c_36855,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29594,c_939]) ).
tcf(c_36856,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_29594,c_29602]) ).
tcf(c_36858,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_22)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29594,c_51]) ).
tcf(c_36860,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_29594,c_55]) ).
tcf(c_36861,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_22)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29594,c_58]) ).
tcf(c_36862,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_22)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29594,c_61]) ).
tcf(c_36863,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_22)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29594,c_60]) ).
tcf(c_36864,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_22)
| mem(sK0(iPr_def_26,X1),iPr_def_16)
| subq(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_29594,c_63]) ).
tcf(c_36874,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29594,c_886]) ).
tcf(c_36875,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29594,c_796]) ).
tcf(c_36877,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ( sK0(iPr_def_26,X0) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29594,c_797]) ).
tcf(c_36879,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29594,c_940]) ).
tcf(c_36885,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29594,c_941]) ).
tcf(c_36886,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_13)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29594,c_1247]) ).
tcf(c_36888,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29594,c_2900]) ).
tcf(c_36889,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29594,c_2891]) ).
tcf(c_36890,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29594,c_887]) ).
tcf(c_36891,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_20)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29594,c_1250]) ).
tcf(c_36898,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29594,c_1253]) ).
tcf(c_36899,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_25)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_13)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29594,c_1254]) ).
tcf(c_36903,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),iPr_def_22)
| mem(sK0(iPr_def_26,X2),iPr_def_16)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29594,c_29602]) ).
tcf(c_36920,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36885,c_782]) ).
tcf(c_36982,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_25)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| mem(sK0(iPr_def_26,X0),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36899,c_2720]) ).
tcf(c_37131,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_13)
| mem(sK0(iPr_def_26,X1),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29626,c_29602]) ).
tcf(c_37153,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_14)
| mem(sK0(iPr_def_26,X1),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29628,c_29602]) ).
tcf(c_37175,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_12)
| mem(sK0(iPr_def_26,X1),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29629,c_29602]) ).
tcf(c_37199,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),iPr_def_19)
| mem(sK0(iPr_def_26,X1),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_29638,c_29602]) ).
tcf(c_37212,plain,
! [X0: $i] :
( subq(iPr_def_17,e)
| subq(iPr_def_14,X0)
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_4554,c_21165]) ).
tcf(c_37213,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_4555,c_21165]) ).
tcf(c_37214,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| subq(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_4562,c_21165]) ).
tcf(c_37215,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_17,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_22,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_21165,c_29598]) ).
tcf(c_37216,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_17,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_17,X1)) = iPr_def_24 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_21165,c_6475]) ).
tcf(c_37217,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| ( sK0(iPr_def_17,X1) = X0 )
| ~ subq(iPr_def_22,p(X0))
| ~ subq(X0,sK0(iPr_def_17,X1)) ),
inference(superposition,[status(thm)],[c_21165,c_52]) ).
tcf(c_37218,plain,
! [X0: $i] :
( subq(iPr_def_17,p(X0))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_21165,c_783]) ).
tcf(c_37219,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X0)
| subq(sK0(iPr_def_17,X0),X1)
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_21165,c_18912]) ).
tcf(c_37220,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = e )
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_21165,c_1212]) ).
tcf(c_37221,plain,
! [X0: $i] :
( subq(iPr_def_17,p(X0))
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_21165,c_21696]) ).
tcf(c_37322,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4208,c_3153]) ).
tcf(c_37323,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4215,c_3153]) ).
tcf(c_37324,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3153,c_49]) ).
tcf(c_37325,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3153,c_51]) ).
tcf(c_37327,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3153,c_55]) ).
tcf(c_37328,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3153,c_58]) ).
tcf(c_37329,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3153,c_61]) ).
tcf(c_37330,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3153,c_60]) ).
tcf(c_37331,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3153,c_63]) ).
tcf(c_37333,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3153,c_2825]) ).
tcf(c_37334,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3153,c_793]) ).
tcf(c_37335,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3153,c_2828]) ).
tcf(c_37336,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3153,c_936]) ).
tcf(c_37341,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3153,c_886]) ).
tcf(c_37342,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3153,c_796]) ).
tcf(c_37343,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3153,c_885]) ).
tcf(c_37344,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3153,c_797]) ).
tcf(c_37345,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3153,c_798]) ).
tcf(c_37346,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3153,c_940]) ).
tcf(c_37347,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3153,c_884]) ).
tcf(c_37348,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3153,c_799]) ).
tcf(c_37349,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3153,c_937]) ).
tcf(c_37350,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3153,c_800]) ).
tcf(c_37351,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3153,c_943]) ).
tcf(c_37356,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)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3153,c_2891]) ).
tcf(c_37357,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3153,c_887]) ).
tcf(c_37358,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3153,c_1250]) ).
tcf(c_37359,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3153,c_938]) ).
tcf(c_37360,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3153,c_1251]) ).
tcf(c_37361,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3153,c_939]) ).
tcf(c_37362,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_27,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3153,c_1252]) ).
tcf(c_37363,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| ~ subq(iPr_def_27,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3153,c_890]) ).
tcf(c_37365,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3153,c_1253]) ).
tcf(c_37369,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_28) ),
inference(superposition,[status(thm)],[c_3153,c_1256]) ).
tcf(c_37453,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37369,c_282]) ).
tcf(c_37548,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_13) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_37708,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,s(X1))
| ( X1 = e )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3883,c_3168]) ).
tcf(c_37710,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_13)
| mem(e,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3896,c_3168]) ).
tcf(c_37711,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_16)
| mem(e,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3898,c_3168]) ).
tcf(c_37712,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_17)
| mem(e,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3900,c_3168]) ).
tcf(c_37713,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_19)
| mem(e,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3901,c_3168]) ).
tcf(c_37714,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_20)
| mem(e,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3904,c_3168]) ).
tcf(c_37715,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_25)
| mem(e,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3906,c_3168]) ).
tcf(c_37716,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(iPr_def_12,X1))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_7373,c_3168]) ).
tcf(c_37717,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3168,c_49]) ).
tcf(c_37718,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| mem(sK0(iPr_def_10,X2),X1)
| ~ subq(iPr_def_18,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3168,c_51]) ).
tcf(c_37720,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| ( sK0(iPr_def_10,X1) = X0 )
| ~ subq(iPr_def_18,s(X0)) ),
inference(superposition,[status(thm)],[c_3168,c_55]) ).
tcf(c_37721,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_18,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3168,c_58]) ).
tcf(c_37722,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| ~ mem(sK0(iPr_def_10,X2),X1)
| ~ subq(iPr_def_18,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3168,c_61]) ).
tcf(c_37723,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| mem(sK0(iPr_def_10,X2),X0)
| ~ subq(iPr_def_18,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3168,c_60]) ).
tcf(c_37724,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(sK0(iPr_def_10,X1),X0)
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_3168,c_63]) ).
tcf(c_37728,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_10 )
| ~ subq(iPr_def_18,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3168,c_2828]) ).
tcf(c_37730,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_14)
| ~ subq(iPr_def_18,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3168,c_881]) ).
tcf(c_37731,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_14)
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3168,c_934]) ).
tcf(c_37732,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3168,c_888]) ).
tcf(c_37733,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_12 )
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3168,c_795]) ).
tcf(c_37734,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3168,c_886]) ).
tcf(c_37735,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_15 )
| ~ subq(iPr_def_18,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3168,c_796]) ).
tcf(c_37736,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| ~ subq(iPr_def_18,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3168,c_885]) ).
tcf(c_37737,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_14 )
| ~ subq(iPr_def_18,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3168,c_797]) ).
tcf(c_37738,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_18 )
| ~ subq(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3168,c_798]) ).
tcf(c_37740,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| ~ subq(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3168,c_884]) ).
tcf(c_37741,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_19 )
| ~ subq(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3168,c_799]) ).
tcf(c_37742,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| ~ subq(iPr_def_18,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3168,c_937]) ).
tcf(c_37743,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_24 )
| ~ subq(iPr_def_18,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3168,c_800]) ).
tcf(c_37744,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_28)
| ~ subq(iPr_def_18,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3168,c_943]) ).
tcf(c_37745,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| ~ subq(iPr_def_18,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3168,c_941]) ).
tcf(c_37746,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_13)
| mem(sK0(iPr_def_10,X0),iPr_def_12)
| ~ subq(iPr_def_18,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3168,c_1247]) ).
tcf(c_37751,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_19)
| ~ subq(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3168,c_1250]) ).
tcf(c_37752,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| ~ subq(iPr_def_18,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3168,c_938]) ).
tcf(c_37753,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| mem(sK0(iPr_def_10,X0),iPr_def_17)
| ~ subq(iPr_def_18,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3168,c_1251]) ).
tcf(c_37754,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3168,c_939]) ).
tcf(c_37755,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| mem(sK0(iPr_def_10,X0),iPr_def_16)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3168,c_1252]) ).
tcf(c_37756,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_28)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3168,c_890]) ).
tcf(c_37757,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_27)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3168,c_889]) ).
tcf(c_37759,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_25)
| mem(sK0(iPr_def_10,X0),iPr_def_13)
| ~ subq(iPr_def_18,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3168,c_1254]) ).
tcf(c_37760,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_27)
| ~ subq(iPr_def_18,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3168,c_942]) ).
tcf(c_37761,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_27) ),
inference(superposition,[status(thm)],[c_3168,c_1255]) ).
tcf(c_37762,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_25)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_28) ),
inference(superposition,[status(thm)],[c_3168,c_1256]) ).
tcf(c_38084,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_37717]) ).
tcf(c_38341,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_22) = e )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5877,c_51]) ).
tcf(c_38350,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5925,c_51]) ).
tcf(c_38351,plain,
( mem(iPr_def_10,iPr_def_26)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5925,c_1255]) ).
tcf(c_38362,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5945,c_51]) ).
tcf(c_38371,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5946,c_51]) ).
tcf(c_38382,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_23) ),
inference(superposition,[status(thm)],[c_4207,c_37453]) ).
tcf(c_38383,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4208,c_37453]) ).
tcf(c_38384,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4215,c_37453]) ).
tcf(c_38385,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_23) ),
inference(superposition,[status(thm)],[c_37453,c_49]) ).
tcf(c_38386,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_37453,c_51]) ).
tcf(c_38387,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_37453,c_800]) ).
tcf(c_38388,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28)
| mem(sK0(iPr_def_13,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_37453,c_943]) ).
tcf(c_38419,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38385,c_51]) ).
tcf(c_38420,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_16) ),
inference(superposition,[status(thm)],[c_38385,c_1252]) ).
tcf(c_38421,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_28) ),
inference(superposition,[status(thm)],[c_38385,c_890]) ).
tcf(c_38422,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_27) ),
inference(superposition,[status(thm)],[c_38385,c_889]) ).
tcf(c_38436,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38388,c_890]) ).
tcf(c_38447,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_38436,c_51]) ).
tcf(c_38458,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( sK0(iPr_def_13,e) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4207,c_38387]) ).
tcf(c_38459,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4208,c_38387]) ).
tcf(c_38460,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4215,c_38387]) ).
tcf(c_38461,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38387,c_49]) ).
tcf(c_38462,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38387,c_51]) ).
tcf(c_38463,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38387,c_1252]) ).
tcf(c_38468,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_38458,c_4207]) ).
tcf(c_38499,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38384,c_51]) ).
tcf(c_38500,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38384,c_1252]) ).
tcf(c_38501,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_28)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38384,c_890]) ).
tcf(c_38502,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_27)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38384,c_889]) ).
tcf(c_38530,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(e))
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_263,c_38383]) ).
tcf(c_38532,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_15))
| mem(sK0(iPr_def_13,iPr_def_16),iPr_def_23)
| ( iPr_def_12 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_269,c_38383]) ).
tcf(c_38533,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_14))
| mem(sK0(iPr_def_13,iPr_def_17),iPr_def_23)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270,c_38383]) ).
tcf(c_38534,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_18))
| mem(sK0(iPr_def_13,iPr_def_19),iPr_def_23)
| ( iPr_def_12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_272,c_38383]) ).
tcf(c_38535,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_19))
| mem(sK0(iPr_def_13,iPr_def_20),iPr_def_23)
| ( iPr_def_12 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_273,c_38383]) ).
tcf(c_38536,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_24))
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_23)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_278,c_38383]) ).
tcf(c_38537,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_10))
| mem(sK0(iPr_def_13,iPr_def_12),iPr_def_23)
| ( iPr_def_10 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_2833,c_38383]) ).
tcf(c_38538,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),X0)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38383,c_51]) ).
tcf(c_38539,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_22)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_16)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38383,c_1252]) ).
tcf(c_38540,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_28)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38383,c_890]) ).
tcf(c_38541,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_27)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38383,c_889]) ).
tcf(c_38542,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_12),iPr_def_23)
| ( iPr_def_10 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_38537,c_2833]) ).
tcf(c_38548,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_20),iPr_def_23)
| ( iPr_def_12 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_38535,c_273]) ).
tcf(c_38553,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_19),iPr_def_23)
| ( iPr_def_12 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_38534,c_272]) ).
tcf(c_38558,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_17)
| mem(sK0(iPr_def_13,iPr_def_17),iPr_def_23)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_38533,c_270]) ).
tcf(c_38563,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_16),iPr_def_23)
| ( iPr_def_12 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_38532,c_269]) ).
tcf(c_38598,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38386]) ).
tcf(c_38599,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),X0)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38386]) ).
tcf(c_38600,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38386]) ).
tcf(c_38601,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38386]) ).
tcf(c_38602,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_23)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38386]) ).
tcf(c_38603,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38386]) ).
tcf(c_38604,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_49]) ).
tcf(c_38605,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38386,c_51]) ).
tcf(c_38606,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_1252]) ).
tcf(c_38607,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_28)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_890]) ).
tcf(c_38608,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_889]) ).
tcf(c_38609,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_49]) ).
tcf(c_38610,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38386,c_51]) ).
tcf(c_38611,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_38386,c_53]) ).
tcf(c_38612,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_38386,c_55]) ).
tcf(c_38613,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38386,c_58]) ).
tcf(c_38614,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38386,c_61]) ).
tcf(c_38615,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38386,c_60]) ).
tcf(c_38616,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38386,c_63]) ).
tcf(c_38617,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38386,c_2826]) ).
tcf(c_38618,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38386,c_2825]) ).
tcf(c_38619,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38386,c_793]) ).
tcf(c_38620,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38386,c_2828]) ).
tcf(c_38621,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38386,c_936]) ).
tcf(c_38622,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38386,c_881]) ).
tcf(c_38623,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38386,c_934]) ).
tcf(c_38625,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38386,c_795]) ).
tcf(c_38626,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38386,c_886]) ).
tcf(c_38627,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38386,c_796]) ).
tcf(c_38628,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38386,c_885]) ).
tcf(c_38629,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38386,c_797]) ).
tcf(c_38630,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38386,c_798]) ).
tcf(c_38631,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38386,c_940]) ).
tcf(c_38632,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38386,c_884]) ).
tcf(c_38633,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38386,c_799]) ).
tcf(c_38634,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38386,c_937]) ).
tcf(c_38638,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_13)
| mem(sK0(iPr_def_13,X0),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38386,c_1247]) ).
tcf(c_38639,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38386,c_935]) ).
tcf(c_38640,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_14)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38386,c_2900]) ).
tcf(c_38641,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_12)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38386,c_2891]) ).
tcf(c_38642,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38386,c_887]) ).
tcf(c_38643,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38386,c_1250]) ).
tcf(c_38644,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38386,c_938]) ).
tcf(c_38645,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38386,c_1251]) ).
tcf(c_38646,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38386,c_939]) ).
tcf(c_38650,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38386,c_1253]) ).
tcf(c_38655,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(equality_factoring,[status(thm)],[c_38386]) ).
tcf(c_38675,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(iPr_def_12,X0)
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_38601,c_4207]) ).
tcf(c_39037,plain,
! [X0: $i] :
( subq(iPr_def_16,e)
| subq(iPr_def_15,X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_4358,c_21376]) ).
tcf(c_39038,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,s(X1))
| ( X1 = iPr_def_15 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_4359,c_21376]) ).
tcf(c_39039,plain,
! [X0: $i] :
( subq(iPr_def_16,iPr_def_10)
| subq(iPr_def_15,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_4366,c_21376]) ).
tcf(c_39040,plain,
! [X0: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,p(e))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_25824,c_21376]) ).
tcf(c_39041,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_16,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_23,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_21376,c_29598]) ).
tcf(c_39042,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_16,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_16,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_21376,c_6475]) ).
tcf(c_39043,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| ( sK0(iPr_def_16,X1) = X0 )
| ~ subq(iPr_def_23,p(X0))
| ~ subq(X0,sK0(iPr_def_16,X1)) ),
inference(superposition,[status(thm)],[c_21376,c_52]) ).
tcf(c_39044,plain,
! [X0: $i] :
( subq(iPr_def_16,p(X0))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_21376,c_783]) ).
tcf(c_39045,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X0)
| subq(sK0(iPr_def_16,X0),X1)
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_21376,c_18912]) ).
tcf(c_39046,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ( sK0(iPr_def_16,X0) = e )
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_21376,c_1212]) ).
tcf(c_39047,plain,
! [X0: $i] :
( subq(iPr_def_16,p(X0))
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_21376,c_21696]) ).
tcf(c_39102,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38461,c_29598]) ).
tcf(c_39103,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38461,c_6475]) ).
tcf(c_39104,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38461,c_52]) ).
tcf(c_39105,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38461,c_1130]) ).
tcf(c_39139,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,s(X1))
| ( X1 = e )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3883,c_3180]) ).
tcf(c_39141,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_13)
| mem(e,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3896,c_3180]) ).
tcf(c_39142,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_16)
| mem(e,X0)
| ( e = iPr_def_15 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3898,c_3180]) ).
tcf(c_39143,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_17)
| mem(e,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3900,c_3180]) ).
tcf(c_39144,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_19)
| mem(e,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3901,c_3180]) ).
tcf(c_39145,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_20)
| mem(e,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3904,c_3180]) ).
tcf(c_39146,plain,
! [X0: $i] :
( subq(iPr_def_10,iPr_def_25)
| mem(e,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3906,c_3180]) ).
tcf(c_39147,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(iPr_def_12,X1))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_7373,c_3180]) ).
tcf(c_39148,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3180,c_49]) ).
tcf(c_39149,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| mem(sK0(iPr_def_10,X2),X1)
| ~ subq(iPr_def_15,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3180,c_51]) ).
tcf(c_39151,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| ( sK0(iPr_def_10,X1) = X0 )
| ~ subq(iPr_def_15,s(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_55]) ).
tcf(c_39152,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_15,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3180,c_58]) ).
tcf(c_39153,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| ~ mem(sK0(iPr_def_10,X2),X1)
| ~ subq(iPr_def_15,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3180,c_61]) ).
tcf(c_39154,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_10,X2)
| mem(sK0(iPr_def_10,X2),X0)
| ~ subq(iPr_def_15,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3180,c_60]) ).
tcf(c_39155,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(sK0(iPr_def_10,X1),X0)
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_3180,c_63]) ).
tcf(c_39159,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_10 )
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3180,c_2828]) ).
tcf(c_39161,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_14)
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3180,c_881]) ).
tcf(c_39162,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_14)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3180,c_934]) ).
tcf(c_39163,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3180,c_888]) ).
tcf(c_39164,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_12 )
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3180,c_795]) ).
tcf(c_39165,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3180,c_886]) ).
tcf(c_39166,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3180,c_796]) ).
tcf(c_39167,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3180,c_885]) ).
tcf(c_39168,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_14 )
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3180,c_797]) ).
tcf(c_39169,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_18 )
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3180,c_798]) ).
tcf(c_39171,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3180,c_884]) ).
tcf(c_39172,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_19 )
| ~ subq(iPr_def_15,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3180,c_799]) ).
tcf(c_39173,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3180,c_937]) ).
tcf(c_39174,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = iPr_def_24 )
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3180,c_800]) ).
tcf(c_39175,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3180,c_943]) ).
tcf(c_39176,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3180,c_941]) ).
tcf(c_39177,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_13)
| mem(sK0(iPr_def_10,X0),iPr_def_12)
| ~ subq(iPr_def_15,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3180,c_1247]) ).
tcf(c_39182,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_19)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3180,c_1250]) ).
tcf(c_39183,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3180,c_938]) ).
tcf(c_39184,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_21)
| mem(sK0(iPr_def_10,X0),iPr_def_17)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3180,c_1251]) ).
tcf(c_39185,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3180,c_939]) ).
tcf(c_39186,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_22)
| mem(sK0(iPr_def_10,X0),iPr_def_16)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3180,c_1252]) ).
tcf(c_39187,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3180,c_890]) ).
tcf(c_39188,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3180,c_889]) ).
tcf(c_39190,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_25)
| mem(sK0(iPr_def_10,X0),iPr_def_13)
| ~ subq(iPr_def_15,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3180,c_1254]) ).
tcf(c_39191,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3180,c_942]) ).
tcf(c_39192,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_26)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_27) ),
inference(superposition,[status(thm)],[c_3180,c_1255]) ).
tcf(c_39193,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_25)
| mem(sK0(iPr_def_10,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_28) ),
inference(superposition,[status(thm)],[c_3180,c_1256]) ).
tcf(c_39442,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_39148]) ).
tcf(c_39452,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4208,c_3193]) ).
tcf(c_39453,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_4215,c_3193]) ).
tcf(c_39454,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3193,c_49]) ).
tcf(c_39455,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_15,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3193,c_51]) ).
tcf(c_39457,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_15,s(X0)) ),
inference(superposition,[status(thm)],[c_3193,c_55]) ).
tcf(c_39458,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_15,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3193,c_58]) ).
tcf(c_39459,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_15,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3193,c_61]) ).
tcf(c_39460,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_15,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3193,c_60]) ).
tcf(c_39461,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_3193,c_63]) ).
tcf(c_39463,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_15,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3193,c_2825]) ).
tcf(c_39464,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_15,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3193,c_793]) ).
tcf(c_39465,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3193,c_2828]) ).
tcf(c_39466,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3193,c_936]) ).
tcf(c_39471,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3193,c_886]) ).
tcf(c_39472,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3193,c_796]) ).
tcf(c_39473,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3193,c_885]) ).
tcf(c_39474,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3193,c_797]) ).
tcf(c_39475,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3193,c_798]) ).
tcf(c_39476,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3193,c_940]) ).
tcf(c_39477,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3193,c_884]) ).
tcf(c_39478,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_15,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3193,c_799]) ).
tcf(c_39479,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3193,c_937]) ).
tcf(c_39480,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_15,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3193,c_800]) ).
tcf(c_39486,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)
| ~ subq(iPr_def_15,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3193,c_2891]) ).
tcf(c_39487,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_15,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3193,c_887]) ).
tcf(c_39488,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3193,c_1250]) ).
tcf(c_39489,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3193,c_938]) ).
tcf(c_39490,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3193,c_1251]) ).
tcf(c_39491,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3193,c_939]) ).
tcf(c_39492,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3193,c_1252]) ).
tcf(c_39495,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_15,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3193,c_1253]) ).
tcf(c_39897,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_39454]) ).
tcf(c_39904,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5968,c_51]) ).
tcf(c_39905,plain,
( mem(iPr_def_10,iPr_def_22)
| mem(iPr_def_10,iPr_def_16)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5968,c_1252]) ).
tcf(c_39906,plain,
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5968,c_890]) ).
tcf(c_39907,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5968,c_889]) ).
tcf(c_39925,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6395,c_51]) ).
tcf(c_39926,plain,
( mem(iPr_def_10,iPr_def_21)
| mem(iPr_def_10,iPr_def_17)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6395,c_1251]) ).
tcf(c_39927,plain,
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6395,c_939]) ).
tcf(c_39949,plain,
( subq(iPr_def_13,iPr_def_25)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38419,c_49]) ).
tcf(c_39950,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38419,c_51]) ).
tcf(c_39952,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_38419,c_55]) ).
tcf(c_39953,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X1)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38419,c_58]) ).
tcf(c_39954,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_25)
| ~ mem(sK0(iPr_def_13,iPr_def_25),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38419,c_61]) ).
tcf(c_39955,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38419,c_60]) ).
tcf(c_39956,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| subq(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_38419,c_63]) ).
tcf(c_39957,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38419,c_2826]) ).
tcf(c_39958,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38419,c_2825]) ).
tcf(c_39959,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38419,c_793]) ).
tcf(c_39960,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38419,c_2828]) ).
tcf(c_39961,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38419,c_936]) ).
tcf(c_39962,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38419,c_881]) ).
tcf(c_39963,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38419,c_934]) ).
tcf(c_39964,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38419,c_888]) ).
tcf(c_39965,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38419,c_795]) ).
tcf(c_39967,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38419,c_796]) ).
tcf(c_39968,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38419,c_885]) ).
tcf(c_39969,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38419,c_797]) ).
tcf(c_39970,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38419,c_798]) ).
tcf(c_39971,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38419,c_940]) ).
tcf(c_39972,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38419,c_884]) ).
tcf(c_39973,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38419,c_799]) ).
tcf(c_39974,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38419,c_937]) ).
tcf(c_39975,plain,
( subq(iPr_def_13,iPr_def_25)
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38419,c_800]) ).
tcf(c_39976,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38419,c_943]) ).
tcf(c_39977,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38419,c_941]) ).
tcf(c_39978,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_13)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38419,c_1247]) ).
tcf(c_39979,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38419,c_935]) ).
tcf(c_39980,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_14)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38419,c_2900]) ).
tcf(c_39981,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38419,c_2891]) ).
tcf(c_39982,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38419,c_887]) ).
tcf(c_39983,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38419,c_1250]) ).
tcf(c_39984,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38419,c_938]) ).
tcf(c_39985,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38419,c_1251]) ).
tcf(c_39988,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38419,c_890]) ).
tcf(c_39989,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38419,c_889]) ).
tcf(c_39990,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38419,c_1253]) ).
tcf(c_39991,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38419,c_1254]) ).
tcf(c_39992,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38419,c_942]) ).
tcf(c_39993,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_38419,c_1255]) ).
tcf(c_39994,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_38419,c_1256]) ).
tcf(c_40087,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39994,c_2458]) ).
tcf(c_40091,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39993,c_2438]) ).
tcf(c_40195,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38604,c_49]) ).
tcf(c_40196,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38604,c_51]) ).
tcf(c_40197,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_38604,c_53]) ).
tcf(c_40198,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_38604,c_55]) ).
tcf(c_40199,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),X1)
| mem(sK0(iPr_def_13,iPr_def_23),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38604,c_58]) ).
tcf(c_40200,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_23)
| ~ mem(sK0(iPr_def_13,iPr_def_23),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38604,c_61]) ).
tcf(c_40201,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38604,c_60]) ).
tcf(c_40202,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_23)
| subq(sK0(iPr_def_13,iPr_def_23),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38604,c_63]) ).
tcf(c_40203,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38604,c_2826]) ).
tcf(c_40204,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38604,c_2825]) ).
tcf(c_40205,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38604,c_793]) ).
tcf(c_40206,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38604,c_2828]) ).
tcf(c_40207,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38604,c_936]) ).
tcf(c_40208,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38604,c_881]) ).
tcf(c_40209,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38604,c_934]) ).
tcf(c_40211,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38604,c_795]) ).
tcf(c_40212,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38604,c_886]) ).
tcf(c_40213,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38604,c_796]) ).
tcf(c_40214,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38604,c_885]) ).
tcf(c_40215,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38604,c_797]) ).
tcf(c_40216,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38604,c_798]) ).
tcf(c_40217,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38604,c_940]) ).
tcf(c_40218,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38604,c_884]) ).
tcf(c_40219,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38604,c_799]) ).
tcf(c_40220,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38604,c_937]) ).
tcf(c_40222,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38604,c_943]) ).
tcf(c_40223,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_26)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38604,c_941]) ).
tcf(c_40224,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_13)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38604,c_1247]) ).
tcf(c_40225,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38604,c_935]) ).
tcf(c_40226,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_14)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38604,c_2900]) ).
tcf(c_40227,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38604,c_2891]) ).
tcf(c_40228,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38604,c_887]) ).
tcf(c_40229,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38604,c_1250]) ).
tcf(c_40230,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38604,c_938]) ).
tcf(c_40231,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_17)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38604,c_1251]) ).
tcf(c_40232,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38604,c_939]) ).
tcf(c_40233,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38604,c_1252]) ).
tcf(c_40236,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38604,c_1253]) ).
tcf(c_40237,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_13)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38604,c_1254]) ).
tcf(c_40238,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38604,c_942]) ).
tcf(c_40240,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_28) ),
inference(superposition,[status(thm)],[c_38604,c_1256]) ).
tcf(c_40245,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40238,c_2720]) ).
tcf(c_40263,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40223,c_782]) ).
tcf(c_40266,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40222,c_782]) ).
tcf(c_40336,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40240,c_2773]) ).
tcf(c_40340,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40237,c_2720]) ).
tcf(c_40545,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,e) ),
inference(superposition,[status(thm)],[c_4207,c_38609]) ).
tcf(c_40546,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_4208,c_38609]) ).
tcf(c_40547,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4215,c_38609]) ).
tcf(c_40549,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38609,c_51]) ).
tcf(c_40550,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38609,c_1252]) ).
tcf(c_40574,plain,
~ subq(iPr_def_25,e),
inference(global_subsumption_just,[status(thm)],[c_38611,c_1182,c_36179]) ).
tcf(c_40576,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_20520,c_40574]) ).
tcf(c_40587,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_4207,c_38626]) ).
tcf(c_40588,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_4208,c_38626]) ).
tcf(c_40589,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_4215,c_38626]) ).
tcf(c_40590,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38626,c_49]) ).
tcf(c_40591,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38626,c_51]) ).
tcf(c_40592,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38626,c_1252]) ).
tcf(c_40624,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_4207,c_38646]) ).
tcf(c_40625,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_4208,c_38646]) ).
tcf(c_40626,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_4215,c_38646]) ).
tcf(c_40627,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38646,c_49]) ).
tcf(c_40628,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38646,c_51]) ).
tcf(c_40629,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38646,c_1252]) ).
tcf(c_40661,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_4207,c_38655]) ).
tcf(c_40662,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_4208,c_38655]) ).
tcf(c_40663,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_4215,c_38655]) ).
tcf(c_40665,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38655,c_51]) ).
tcf(c_40666,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38655,c_1252]) ).
tcf(c_40696,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_38420,c_51]) ).
tcf(c_40697,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_17)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_16) ),
inference(superposition,[status(thm)],[c_38420,c_1251]) ).
tcf(c_40711,plain,
! [X0: $i] : subq(e,p(X0)),
inference(superposition,[status(thm)],[c_763,c_22959]) ).
tcf(c_40712,plain,
! [X0: $i,X1: $i] :
( subq(p(p(e)),X0)
| subq(sK0(p(p(e)),X0),p(X1)) ),
inference(superposition,[status(thm)],[c_773,c_22959]) ).
tcf(c_40714,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),p(X1))
| ( sK0(s(X0),p(e)) = X0 ) ),
inference(superposition,[status(thm)],[c_791,c_22959]) ).
tcf(c_40715,plain,
! [X0: $i] :
( subq(iPr_def_10,p(X0))
| ( sK0(iPr_def_12,p(p(e))) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4081,c_22959]) ).
tcf(c_40716,plain,
! [X0: $i] :
( subq(iPr_def_10,p(X0))
| ( sK0(iPr_def_10,p(e)) = e ) ),
inference(superposition,[status(thm)],[c_831,c_22959]) ).
tcf(c_40717,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_12,p(X0))
| ( sK0(iPr_def_25,p(p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8629,c_22959]) ).
tcf(c_40718,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,p(X1))
| ( sK0(iPr_def_25,m(p(p(e)),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_22959]) ).
tcf(c_40719,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,p(X0))
| ( sK0(iPr_def_25,p(p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6481,c_22959]) ).
tcf(c_40720,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ( sK0(iPr_def_13,p(p(e))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_22959]) ).
tcf(c_40722,plain,
! [X0: $i] :
( subq(iPr_def_13,p(X0))
| ( sK0(iPr_def_13,p(e)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_849,c_22959]) ).
tcf(c_40724,plain,
! [X0: $i] :
( subq(iPr_def_17,p(X0))
| ( sK0(iPr_def_17,p(e)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_867,c_22959]) ).
tcf(c_40725,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ( sK0(iPr_def_20,p(p(e))) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_22959]) ).
tcf(c_40727,plain,
! [X0: $i] :
( subq(iPr_def_18,p(X0))
| ( sK0(iPr_def_19,p(p(e))) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_22959]) ).
tcf(c_40728,plain,
! [X0: $i] :
( subq(iPr_def_20,p(X0))
| ( sK0(iPr_def_20,p(e)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1466,c_22959]) ).
tcf(c_40730,plain,
! [X0: $i] :
( subq(iPr_def_14,p(X0))
| ( sK0(iPr_def_17,p(p(e))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_22959]) ).
tcf(c_40731,plain,
! [X0: $i] :
( subq(iPr_def_15,p(X0))
| ( sK0(iPr_def_16,p(p(e))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_22959]) ).
tcf(c_40732,plain,
! [X0: $i] :
( subq(iPr_def_24,p(X0))
| ( sK0(iPr_def_25,p(p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_22959]) ).
tcf(c_40734,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(m(p(p(e)),X0),X1)
| subq(sK0(m(p(p(e)),X0),X1),p(X2)) ),
inference(superposition,[status(thm)],[c_18450,c_22959]) ).
tcf(c_40735,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK0(X0,X1),p(X2))
| ~ subq(X0,p(p(e))) ),
inference(superposition,[status(thm)],[c_18917,c_22959]) ).
tcf(c_40736,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| subq(sK0(p(e),X0),p(X1)) ),
inference(superposition,[status(thm)],[c_19694,c_22959]) ).
tcf(c_40737,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(m(p(e),X0),X1)
| subq(sK0(m(p(e),X0),X1),p(X2)) ),
inference(superposition,[status(thm)],[c_19715,c_22959]) ).
tcf(c_40738,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(sK0(iPr_def_12,X0),p(X1))
| ~ subq(iPr_def_14,p(p(e))) ),
inference(superposition,[status(thm)],[c_19759,c_22959]) ).
tcf(c_40739,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| subq(sK0(X0,X1),p(X2))
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_20550,c_22959]) ).
tcf(c_40740,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(sK0(iPr_def_19,X0),p(X1))
| ~ subq(iPr_def_21,p(p(e))) ),
inference(superposition,[status(thm)],[c_20704,c_22959]) ).
tcf(c_40742,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X0)
| subq(sK0(iPr_def_17,X0),p(X1))
| ~ subq(iPr_def_22,p(p(e))) ),
inference(superposition,[status(thm)],[c_21165,c_22959]) ).
tcf(c_40743,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X0)
| subq(sK0(iPr_def_16,X0),p(X1))
| ~ subq(iPr_def_23,p(p(e))) ),
inference(superposition,[status(thm)],[c_21376,c_22959]) ).
tcf(c_40745,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| subq(sK0(iPr_def_26,X0),p(X1))
| ~ subq(iPr_def_25,p(p(e))) ),
inference(superposition,[status(thm)],[c_29604,c_22959]) ).
tcf(c_40853,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_40195]) ).
tcf(c_41088,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_40590]) ).
tcf(c_41095,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_40627]) ).
tcf(c_41134,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38460,c_29598]) ).
tcf(c_41135,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38460,c_6475]) ).
tcf(c_41136,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_13 )
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_10,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38460,c_52]) ).
tcf(c_41137,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38460,c_1130]) ).
tcf(c_41168,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_18,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_24,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_18,X0)) ),
inference(superposition,[status(thm)],[c_23024,c_29598]) ).
tcf(c_41169,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_18,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_18,X1)) = iPr_def_24 )
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_23024,c_6475]) ).
tcf(c_41170,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| ( sK0(iPr_def_18,X1) = X0 )
| ~ subq(iPr_def_24,p(X0))
| ~ subq(X0,sK0(iPr_def_18,X1)) ),
inference(superposition,[status(thm)],[c_23024,c_52]) ).
tcf(c_41171,plain,
! [X0: $i] :
( subq(iPr_def_18,p(X0))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_23024,c_783]) ).
tcf(c_41172,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(sK0(iPr_def_18,X0),X1)
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_23024,c_18912]) ).
tcf(c_41173,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_18,X0) = e )
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_23024,c_1212]) ).
tcf(c_41174,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(sK0(iPr_def_18,X0),p(X1))
| ~ subq(iPr_def_24,p(p(e))) ),
inference(superposition,[status(thm)],[c_23024,c_22959]) ).
tcf(c_41175,plain,
! [X0: $i] :
( subq(iPr_def_18,p(X0))
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_23024,c_21696]) ).
tcf(c_41216,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_4077,c_3216]) ).
tcf(c_41218,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_18388,c_3216]) ).
tcf(c_41219,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3216,c_49]) ).
tcf(c_41220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| mem(sK0(iPr_def_12,X2),X1)
| ~ subq(iPr_def_24,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3216,c_51]) ).
tcf(c_41222,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_12,X1) = X0 )
| ~ subq(iPr_def_24,s(X0)) ),
inference(superposition,[status(thm)],[c_3216,c_55]) ).
tcf(c_41223,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_24,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3216,c_58]) ).
tcf(c_41224,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| ~ mem(sK0(iPr_def_12,X2),X1)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3216,c_61]) ).
tcf(c_41225,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_12,X2)
| mem(sK0(iPr_def_12,X2),X0)
| ~ subq(iPr_def_24,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3216,c_60]) ).
tcf(c_41226,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(sK0(iPr_def_12,X1),X0)
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_3216,c_63]) ).
tcf(c_41229,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = e )
| ~ subq(iPr_def_24,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3216,c_793]) ).
tcf(c_41234,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3216,c_888]) ).
tcf(c_41235,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_12 )
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3216,c_795]) ).
tcf(c_41236,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3216,c_886]) ).
tcf(c_41237,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_15 )
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3216,c_796]) ).
tcf(c_41238,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3216,c_885]) ).
tcf(c_41239,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_14 )
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3216,c_797]) ).
tcf(c_41240,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_18 )
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3216,c_798]) ).
tcf(c_41242,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3216,c_884]) ).
tcf(c_41243,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_19 )
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3216,c_799]) ).
tcf(c_41244,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3216,c_937]) ).
tcf(c_41245,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = iPr_def_24 )
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3216,c_800]) ).
tcf(c_41246,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3216,c_943]) ).
tcf(c_41247,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3216,c_941]) ).
tcf(c_41253,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_19)
| ~ subq(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3216,c_1250]) ).
tcf(c_41254,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3216,c_938]) ).
tcf(c_41255,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_21)
| mem(sK0(iPr_def_12,X0),iPr_def_17)
| ~ subq(iPr_def_24,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3216,c_1251]) ).
tcf(c_41256,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3216,c_939]) ).
tcf(c_41257,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_22)
| mem(sK0(iPr_def_12,X0),iPr_def_16)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3216,c_1252]) ).
tcf(c_41258,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3216,c_890]) ).
tcf(c_41259,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3216,c_889]) ).
tcf(c_41261,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_13)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3216,c_1254]) ).
tcf(c_41262,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3216,c_942]) ).
tcf(c_41263,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_26)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_27) ),
inference(superposition,[status(thm)],[c_3216,c_1255]) ).
tcf(c_41264,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_25)
| mem(sK0(iPr_def_12,X0),iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_28) ),
inference(superposition,[status(thm)],[c_3216,c_1256]) ).
tcf(c_41757,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_41219]) ).
tcf(c_41767,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,s(X1))
| ( X1 = iPr_def_19 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_5047,c_3276]) ).
tcf(c_41768,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| mem(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_5054,c_3276]) ).
tcf(c_41769,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_3276,c_49]) ).
tcf(c_41770,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_22,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3276,c_51]) ).
tcf(c_41772,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| ( sK0(iPr_def_20,X1) = X0 )
| ~ subq(iPr_def_22,s(X0)) ),
inference(superposition,[status(thm)],[c_3276,c_55]) ).
tcf(c_41773,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_22,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3276,c_58]) ).
tcf(c_41774,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| ~ mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3276,c_61]) ).
tcf(c_41775,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X0)
| ~ subq(iPr_def_22,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3276,c_60]) ).
tcf(c_41776,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| subq(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_3276,c_63]) ).
tcf(c_41777,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3276,c_2826]) ).
tcf(c_41778,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3276,c_2825]) ).
tcf(c_41779,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = e )
| ~ subq(iPr_def_22,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3276,c_793]) ).
tcf(c_41780,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_10 )
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3276,c_2828]) ).
tcf(c_41781,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3276,c_936]) ).
tcf(c_41782,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3276,c_881]) ).
tcf(c_41783,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3276,c_934]) ).
tcf(c_41784,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3276,c_888]) ).
tcf(c_41785,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_12 )
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3276,c_795]) ).
tcf(c_41787,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_15 )
| ~ subq(iPr_def_22,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3276,c_796]) ).
tcf(c_41789,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_14 )
| ~ subq(iPr_def_22,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3276,c_797]) ).
tcf(c_41790,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_18 )
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3276,c_798]) ).
tcf(c_41791,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3276,c_940]) ).
tcf(c_41795,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_24 )
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3276,c_800]) ).
tcf(c_41797,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3276,c_941]) ).
tcf(c_41798,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| mem(sK0(iPr_def_20,X0),iPr_def_12)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3276,c_1247]) ).
tcf(c_41799,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_22,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3276,c_935]) ).
tcf(c_41800,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_10)
| ~ subq(iPr_def_22,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3276,c_2900]) ).
tcf(c_41801,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_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3276,c_2891]) ).
tcf(c_41802,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3276,c_887]) ).
tcf(c_41810,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_19)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_22,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3276,c_1253]) ).
tcf(c_41811,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_25)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| ~ subq(iPr_def_22,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3276,c_1254]) ).
tcf(c_42105,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_6411,c_51]) ).
tcf(c_42106,plain,
( mem(iPr_def_10,iPr_def_21)
| mem(iPr_def_10,iPr_def_17)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6411,c_1251]) ).
tcf(c_42107,plain,
( mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6411,c_939]) ).
tcf(c_42120,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_6896,c_51]) ).
tcf(c_42121,plain,
( mem(iPr_def_10,iPr_def_26)
| mem(iPr_def_10,iPr_def_23)
| ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6896,c_1255]) ).
tcf(c_42142,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_6925,c_51]) ).
tcf(c_42143,plain,
( mem(iPr_def_10,iPr_def_22)
| mem(iPr_def_10,iPr_def_16)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6925,c_1252]) ).
tcf(c_42144,plain,
( mem(iPr_def_10,iPr_def_28)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6925,c_890]) ).
tcf(c_42145,plain,
( mem(iPr_def_10,iPr_def_27)
| ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6925,c_889]) ).
tcf(c_42169,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4207,c_38618]) ).
tcf(c_42170,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_18)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4208,c_38618]) ).
tcf(c_42171,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_18)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4215,c_38618]) ).
tcf(c_42173,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38618,c_51]) ).
tcf(c_42174,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38618,c_1252]) ).
tcf(c_42177,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_42169,c_4207]) ).
tcf(c_42222,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4207,c_38621]) ).
tcf(c_42223,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_18)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4208,c_38621]) ).
tcf(c_42224,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_18)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4215,c_38621]) ).
tcf(c_42226,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38621,c_51]) ).
tcf(c_42227,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38621,c_1252]) ).
tcf(c_42230,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_42222,c_4207]) ).
tcf(c_42316,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38628,c_939]) ).
tcf(c_42326,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4207,c_42316]) ).
tcf(c_42327,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4208,c_42316]) ).
tcf(c_42328,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4215,c_42316]) ).
tcf(c_42329,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_42316,c_49]) ).
tcf(c_42330,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_42316,c_51]) ).
tcf(c_42331,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_42316,c_1252]) ).
tcf(c_42365,plain,
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4207,c_38631]) ).
tcf(c_42366,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4208,c_38631]) ).
tcf(c_42367,plain,
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4215,c_38631]) ).
tcf(c_42368,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38631,c_49]) ).
tcf(c_42369,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_38631,c_51]) ).
tcf(c_42370,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38631,c_1253]) ).
tcf(c_42374,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_42365,c_4207]) ).
tcf(c_42421,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4207,c_38632]) ).
tcf(c_42422,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4208,c_38632]) ).
tcf(c_42423,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4215,c_38632]) ).
tcf(c_42425,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38632,c_51]) ).
tcf(c_42426,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38632,c_1252]) ).
tcf(c_42429,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_42421,c_4207]) ).
tcf(c_42464,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_4207,c_38634]) ).
tcf(c_42465,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_4208,c_38634]) ).
tcf(c_42466,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_4215,c_38634]) ).
tcf(c_42468,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38634,c_51]) ).
tcf(c_42469,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38634,c_1252]) ).
tcf(c_42472,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_42464,c_4207]) ).
tcf(c_42554,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| subq(iPr_def_12,X0)
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_4207,c_23363]) ).
tcf(c_42555,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_4208,c_23363]) ).
tcf(c_42556,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| subq(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_4215,c_23363]) ).
tcf(c_42557,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_26,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_23363,c_29598]) ).
tcf(c_42558,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_13,X1)) = iPr_def_24 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_23363,c_6475]) ).
tcf(c_42559,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_26,p(X0))
| ~ subq(X0,sK0(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_23363,c_52]) ).
tcf(c_42560,plain,
! [X0: $i] :
( subq(iPr_def_13,p(X0))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_23363,c_783]) ).
tcf(c_42561,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| subq(sK0(iPr_def_13,X0),X1)
| ~ subq(iPr_def_26,p(e)) ),
inference(superposition,[status(thm)],[c_23363,c_18912]) ).
tcf(c_42562,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_26,p(e)) ),
inference(superposition,[status(thm)],[c_23363,c_1212]) ).
tcf(c_42563,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| subq(sK0(iPr_def_13,X0),p(X1))
| ~ subq(iPr_def_26,p(p(e))) ),
inference(superposition,[status(thm)],[c_23363,c_22959]) ).
tcf(c_42564,plain,
! [X0: $i] :
( subq(iPr_def_13,p(X0))
| ~ subq(iPr_def_26,p(e)) ),
inference(superposition,[status(thm)],[c_23363,c_21696]) ).
tcf(c_42801,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_42329]) ).
tcf(c_42827,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3294,c_49]) ).
tcf(c_42828,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3294,c_51]) ).
tcf(c_42830,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| ( sK0(iPr_def_21,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_3294,c_55]) ).
tcf(c_42831,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3294,c_58]) ).
tcf(c_42832,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| ~ mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3294,c_61]) ).
tcf(c_42833,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3294,c_60]) ).
tcf(c_42834,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| subq(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_3294,c_63]) ).
tcf(c_42835,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3294,c_2826]) ).
tcf(c_42836,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3294,c_2825]) ).
tcf(c_42837,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3294,c_793]) ).
tcf(c_42838,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3294,c_2828]) ).
tcf(c_42839,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3294,c_936]) ).
tcf(c_42840,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3294,c_881]) ).
tcf(c_42841,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3294,c_934]) ).
tcf(c_42842,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3294,c_888]) ).
tcf(c_42843,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3294,c_795]) ).
tcf(c_42845,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3294,c_796]) ).
tcf(c_42847,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3294,c_797]) ).
tcf(c_42848,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3294,c_798]) ).
tcf(c_42849,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3294,c_940]) ).
tcf(c_42850,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3294,c_884]) ).
tcf(c_42851,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3294,c_799]) ).
tcf(c_42852,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3294,c_937]) ).
tcf(c_42853,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3294,c_800]) ).
tcf(c_42855,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3294,c_941]) ).
tcf(c_42856,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3294,c_1247]) ).
tcf(c_42857,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3294,c_935]) ).
tcf(c_42858,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3294,c_2900]) ).
tcf(c_42859,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3294,c_2891]) ).
tcf(c_42860,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3294,c_887]) ).
tcf(c_42868,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_19)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3294,c_1253]) ).
tcf(c_42869,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_25)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3294,c_1254]) ).
tcf(c_43306,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3332,c_49]) ).
tcf(c_43307,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3332,c_51]) ).
tcf(c_43309,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| ( sK0(iPr_def_22,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_3332,c_55]) ).
tcf(c_43310,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X1)
| mem(sK0(iPr_def_22,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3332,c_58]) ).
tcf(c_43311,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| ~ mem(sK0(iPr_def_22,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3332,c_61]) ).
tcf(c_43312,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3332,c_60]) ).
tcf(c_43313,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| subq(sK0(iPr_def_22,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_3332,c_63]) ).
tcf(c_43314,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3332,c_2826]) ).
tcf(c_43315,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3332,c_2825]) ).
tcf(c_43316,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3332,c_793]) ).
tcf(c_43317,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3332,c_2828]) ).
tcf(c_43318,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3332,c_936]) ).
tcf(c_43319,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3332,c_881]) ).
tcf(c_43320,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3332,c_934]) ).
tcf(c_43321,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3332,c_888]) ).
tcf(c_43322,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3332,c_795]) ).
tcf(c_43324,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3332,c_796]) ).
tcf(c_43325,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3332,c_885]) ).
tcf(c_43326,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3332,c_797]) ).
tcf(c_43327,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3332,c_798]) ).
tcf(c_43328,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3332,c_940]) ).
tcf(c_43329,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3332,c_884]) ).
tcf(c_43330,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3332,c_799]) ).
tcf(c_43331,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3332,c_937]) ).
tcf(c_43332,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3332,c_800]) ).
tcf(c_43334,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3332,c_941]) ).
tcf(c_43335,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_13)
| mem(sK0(iPr_def_22,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3332,c_1247]) ).
tcf(c_43336,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3332,c_935]) ).
tcf(c_43337,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| mem(sK0(iPr_def_22,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3332,c_2900]) ).
tcf(c_43338,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_12)
| mem(sK0(iPr_def_22,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3332,c_2891]) ).
tcf(c_43339,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3332,c_887]) ).
tcf(c_43340,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_20)
| mem(sK0(iPr_def_22,X0),iPr_def_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3332,c_1250]) ).
tcf(c_43341,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3332,c_938]) ).
tcf(c_43347,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_19)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3332,c_1253]) ).
tcf(c_43348,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_25)
| mem(sK0(iPr_def_22,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3332,c_1254]) ).
tcf(c_43766,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_6944,c_51]) ).
tcf(c_43775,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_6945,c_51]) ).
tcf(c_43784,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_8263,c_51]) ).
tcf(c_43786,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8263,c_8779]) ).
tcf(c_43787,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8263,c_8377]) ).
tcf(c_43788,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8263,c_6479]) ).
tcf(c_43814,plain,
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_4207,c_38642]) ).
tcf(c_43815,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_4208,c_38642]) ).
tcf(c_43816,plain,
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_4215,c_38642]) ).
tcf(c_43817,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38642,c_49]) ).
tcf(c_43818,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_38642,c_51]) ).
tcf(c_43819,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38642,c_1253]) ).
tcf(c_43823,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_43814,c_4207]) ).
tcf(c_43859,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38644,c_939]) ).
tcf(c_43869,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_4207,c_43859]) ).
tcf(c_43870,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_4208,c_43859]) ).
tcf(c_43871,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_4215,c_43859]) ).
tcf(c_43872,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_43859,c_49]) ).
tcf(c_43873,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_43859,c_51]) ).
tcf(c_43874,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_43859,c_1252]) ).
tcf(c_43924,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,s(e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_263,c_38459]) ).
tcf(c_43926,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_16)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_13,s(iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269,c_38459]) ).
tcf(c_43927,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_17)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_13,s(iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270,c_38459]) ).
tcf(c_43928,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_19)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_13,s(iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272,c_38459]) ).
tcf(c_43929,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_20)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_13,s(iPr_def_19)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_273,c_38459]) ).
tcf(c_43930,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_25)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,s(iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_278,c_38459]) ).
tcf(c_43931,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_12)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_13,s(iPr_def_10)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2833,c_38459]) ).
tcf(c_43932,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38459,c_29598]) ).
tcf(c_43933,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38459,c_6475]) ).
tcf(c_43934,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( X0 = iPr_def_12 )
| ( s(X0) = iPr_def_13 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 )
| ~ subq(s(X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_38459,c_52]) ).
tcf(c_43935,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38459,c_1130]) ).
tcf(c_43936,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_12)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43931,c_2833]) ).
tcf(c_43941,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_25)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,iPr_def_25) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43930,c_278]) ).
tcf(c_43946,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_20)
| ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43929,c_273]) ).
tcf(c_43951,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_19)
| ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43928,c_272]) ).
tcf(c_43956,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_17)
| ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43927,c_270]) ).
tcf(c_43961,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_16)
| ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_13,iPr_def_16) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43926,c_269]) ).
tcf(c_44045,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,e) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38462]) ).
tcf(c_44046,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38462]) ).
tcf(c_44047,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38462]) ).
tcf(c_44048,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38462,c_49]) ).
tcf(c_44049,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ( sK0(iPr_def_13,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38462,c_51]) ).
tcf(c_44051,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_38462,c_55]) ).
tcf(c_44052,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_13,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38462,c_58]) ).
tcf(c_44053,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| ( sK0(iPr_def_13,X2) = iPr_def_24 )
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38462,c_61]) ).
tcf(c_44054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_13,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38462,c_60]) ).
tcf(c_44055,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| subq(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_38462,c_63]) ).
tcf(c_44057,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38462,c_2825]) ).
tcf(c_44058,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38462,c_793]) ).
tcf(c_44059,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38462,c_2828]) ).
tcf(c_44060,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38462,c_936]) ).
tcf(c_44064,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38462,c_795]) ).
tcf(c_44066,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38462,c_796]) ).
tcf(c_44067,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38462,c_885]) ).
tcf(c_44068,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38462,c_797]) ).
tcf(c_44069,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38462,c_798]) ).
tcf(c_44070,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38462,c_940]) ).
tcf(c_44071,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38462,c_884]) ).
tcf(c_44072,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38462,c_799]) ).
tcf(c_44073,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38462,c_937]) ).
tcf(c_44074,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38462,c_800]) ).
tcf(c_44080,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)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38462,c_2891]) ).
tcf(c_44081,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38462,c_887]) ).
tcf(c_44082,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38462,c_1250]) ).
tcf(c_44083,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38462,c_938]) ).
tcf(c_44084,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38462,c_1251]) ).
tcf(c_44089,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38462,c_1253]) ).
tcf(c_44975,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_4207,c_38616]) ).
tcf(c_44976,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_23)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_4208,c_38616]) ).
tcf(c_44977,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_4215,c_38616]) ).
tcf(c_44978,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_25,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_38616,c_29598]) ).
tcf(c_44979,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_25,sK0(iPr_def_13,X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38616,c_6475]) ).
tcf(c_44980,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_25,p(X0))
| ~ subq(X0,sK0(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_38616,c_52]) ).
tcf(c_44981,plain,
! [X0: $i] :
( subq(iPr_def_13,p(X0))
| mem(sK0(iPr_def_13,p(X0)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38616,c_783]) ).
tcf(c_44982,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| subq(sK0(iPr_def_13,X0),X1)
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_38616,c_18912]) ).
tcf(c_44983,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_38616,c_1212]) ).
tcf(c_44984,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| subq(sK0(iPr_def_13,X0),p(X1))
| ~ subq(iPr_def_25,p(p(e))) ),
inference(superposition,[status(thm)],[c_38616,c_22959]) ).
tcf(c_44985,plain,
! [X0: $i] :
( subq(iPr_def_13,p(X0))
| mem(sK0(iPr_def_13,p(X0)),iPr_def_23)
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_38616,c_21696]) ).
tcf(c_44992,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| subq(iPr_def_12,X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(light_normalisation,[status(thm)],[c_44975,c_4207]) ).
tcf(c_45128,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( sK0(iPr_def_13,e) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4207,c_38619]) ).
tcf(c_45129,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4208,c_38619]) ).
tcf(c_45130,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4215,c_38619]) ).
tcf(c_45132,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = e )
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38619,c_51]) ).
tcf(c_45133,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38619,c_1252]) ).
tcf(c_45136,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_45128,c_4207]) ).
tcf(c_45171,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( sK0(iPr_def_13,e) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4207,c_38620]) ).
tcf(c_45172,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4208,c_38620]) ).
tcf(c_45173,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4215,c_38620]) ).
tcf(c_45175,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38620,c_51]) ).
tcf(c_45176,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38620,c_1252]) ).
tcf(c_45179,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_45171,c_4207]) ).
tcf(c_45206,plain,
! [X0: $i] :
( ~ subq(iPr_def_14,p(X0))
| subq(iPr_def_10,X0) ),
inference(global_subsumption_just,[status(thm)],[c_23855,c_1188,c_23855,c_30235]) ).
tcf(c_45207,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(renaming,[status(thm)],[c_45206]) ).
tcf(c_45213,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_17,p(p(X0))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_45207]) ).
tcf(c_45221,plain,
( subq(iPr_def_13,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_43872]) ).
tcf(c_45230,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3355,c_49]) ).
tcf(c_45231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3355,c_51]) ).
tcf(c_45233,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| ( sK0(iPr_def_22,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3355,c_55]) ).
tcf(c_45234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X1)
| mem(sK0(iPr_def_22,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3355,c_58]) ).
tcf(c_45235,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| ~ mem(sK0(iPr_def_22,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3355,c_61]) ).
tcf(c_45236,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X2)
| mem(sK0(iPr_def_22,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3355,c_60]) ).
tcf(c_45237,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| subq(sK0(iPr_def_22,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3355,c_63]) ).
tcf(c_45238,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3355,c_2826]) ).
tcf(c_45239,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3355,c_2825]) ).
tcf(c_45240,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3355,c_793]) ).
tcf(c_45241,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3355,c_2828]) ).
tcf(c_45242,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3355,c_936]) ).
tcf(c_45243,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3355,c_881]) ).
tcf(c_45244,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3355,c_934]) ).
tcf(c_45245,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3355,c_888]) ).
tcf(c_45246,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3355,c_795]) ).
tcf(c_45248,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3355,c_796]) ).
tcf(c_45249,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3355,c_885]) ).
tcf(c_45250,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3355,c_797]) ).
tcf(c_45251,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3355,c_798]) ).
tcf(c_45252,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3355,c_940]) ).
tcf(c_45253,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3355,c_884]) ).
tcf(c_45254,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3355,c_799]) ).
tcf(c_45255,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3355,c_937]) ).
tcf(c_45256,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3355,c_800]) ).
tcf(c_45258,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3355,c_941]) ).
tcf(c_45259,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_13)
| mem(sK0(iPr_def_22,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3355,c_1247]) ).
tcf(c_45260,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3355,c_935]) ).
tcf(c_45261,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_14)
| mem(sK0(iPr_def_22,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3355,c_2900]) ).
tcf(c_45262,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_12)
| mem(sK0(iPr_def_22,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3355,c_2891]) ).
tcf(c_45263,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3355,c_887]) ).
tcf(c_45264,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_20)
| mem(sK0(iPr_def_22,X0),iPr_def_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3355,c_1250]) ).
tcf(c_45265,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3355,c_938]) ).
tcf(c_45271,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_19)
| mem(sK0(iPr_def_22,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3355,c_1253]) ).
tcf(c_45272,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| mem(sK0(iPr_def_22,X0),iPr_def_25)
| mem(sK0(iPr_def_22,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3355,c_1254]) ).
tcf(c_45731,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4865,c_3382]) ).
tcf(c_45732,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| mem(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4872,c_3382]) ).
tcf(c_45733,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_13358,c_3382]) ).
tcf(c_45734,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3382,c_49]) ).
tcf(c_45735,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3382,c_51]) ).
tcf(c_45737,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3382,c_55]) ).
tcf(c_45738,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X1)
| mem(sK0(iPr_def_25,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3382,c_58]) ).
tcf(c_45739,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| ~ mem(sK0(iPr_def_25,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3382,c_61]) ).
tcf(c_45740,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X2)
| mem(sK0(iPr_def_25,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3382,c_60]) ).
tcf(c_45741,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| subq(sK0(iPr_def_25,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3382,c_63]) ).
tcf(c_45742,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3382,c_2826]) ).
tcf(c_45743,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3382,c_2825]) ).
tcf(c_45744,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3382,c_793]) ).
tcf(c_45745,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3382,c_2828]) ).
tcf(c_45746,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3382,c_936]) ).
tcf(c_45747,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3382,c_881]) ).
tcf(c_45748,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3382,c_934]) ).
tcf(c_45750,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3382,c_795]) ).
tcf(c_45751,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3382,c_886]) ).
tcf(c_45752,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3382,c_796]) ).
tcf(c_45753,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3382,c_885]) ).
tcf(c_45754,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3382,c_797]) ).
tcf(c_45755,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3382,c_798]) ).
tcf(c_45756,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3382,c_940]) ).
tcf(c_45757,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3382,c_884]) ).
tcf(c_45758,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3382,c_799]) ).
tcf(c_45759,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3382,c_937]) ).
tcf(c_45763,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_13)
| mem(sK0(iPr_def_25,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3382,c_1247]) ).
tcf(c_45764,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3382,c_935]) ).
tcf(c_45765,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_14)
| mem(sK0(iPr_def_25,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3382,c_2900]) ).
tcf(c_45766,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_12)
| mem(sK0(iPr_def_25,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3382,c_2891]) ).
tcf(c_45767,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3382,c_887]) ).
tcf(c_45768,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_20)
| mem(sK0(iPr_def_25,X0),iPr_def_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3382,c_1250]) ).
tcf(c_45769,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3382,c_938]) ).
tcf(c_45770,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_21)
| mem(sK0(iPr_def_25,X0),iPr_def_17)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3382,c_1251]) ).
tcf(c_45771,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_22) ),
inference(superposition,[status(thm)],[c_3382,c_939]) ).
tcf(c_45772,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_22)
| mem(sK0(iPr_def_25,X0),iPr_def_16)
| ~ subq(iPr_def_27,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3382,c_1252]) ).
tcf(c_45775,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| mem(sK0(iPr_def_25,X0),iPr_def_19)
| mem(sK0(iPr_def_25,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3382,c_1253]) ).
tcf(c_46168,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_8295,c_51]) ).
tcf(c_46170,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_24,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8295,c_8779]) ).
tcf(c_46171,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_24),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8295,c_8377]) ).
tcf(c_46172,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8295,c_6479]) ).
tcf(c_46192,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_9601,c_51]) ).
tcf(c_46193,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9601,c_1252]) ).
tcf(c_46209,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_9652,c_51]) ).
tcf(c_46210,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9652,c_1251]) ).
tcf(c_46211,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9652,c_939]) ).
tcf(c_46249,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( sK0(iPr_def_13,e) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4207,c_38630]) ).
tcf(c_46250,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4208,c_38630]) ).
tcf(c_46251,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_4215,c_38630]) ).
tcf(c_46253,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38630,c_51]) ).
tcf(c_46254,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38630,c_1252]) ).
tcf(c_46257,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_46249,c_4207]) ).
tcf(c_46305,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( sK0(iPr_def_13,e) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_4207,c_38633]) ).
tcf(c_46306,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_4208,c_38633]) ).
tcf(c_46307,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_4215,c_38633]) ).
tcf(c_46309,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38633,c_51]) ).
tcf(c_46310,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38633,c_1252]) ).
tcf(c_46313,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_46305,c_4207]) ).
tcf(c_46348,plain,
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_16)
| ( sK0(iPr_def_13,e) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4207,c_38463]) ).
tcf(c_46349,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_16)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4208,c_38463]) ).
tcf(c_46350,plain,
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4215,c_38463]) ).
tcf(c_46351,plain,
( subq(iPr_def_13,iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38463,c_49]) ).
tcf(c_46352,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_38463,c_51]) ).
tcf(c_46353,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38463,c_1251]) ).
tcf(c_46354,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38463,c_939]) ).
tcf(c_46358,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,e)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_46348,c_4207]) ).
tcf(c_46411,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38499]) ).
tcf(c_46412,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38499,c_49]) ).
tcf(c_46413,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X1)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38499,c_51]) ).
tcf(c_46415,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_38499,c_55]) ).
tcf(c_46416,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X1)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38499,c_58]) ).
tcf(c_46417,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ mem(sK0(iPr_def_13,iPr_def_10),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38499,c_61]) ).
tcf(c_46418,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38499,c_60]) ).
tcf(c_46419,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| subq(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_38499,c_63]) ).
tcf(c_46420,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_15)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38499,c_2826]) ).
tcf(c_46421,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_18)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38499,c_2825]) ).
tcf(c_46422,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38499,c_793]) ).
tcf(c_46423,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38499,c_2828]) ).
tcf(c_46424,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_18)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38499,c_936]) ).
tcf(c_46425,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_14)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38499,c_881]) ).
tcf(c_46426,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_14)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38499,c_934]) ).
tcf(c_46427,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38499,c_888]) ).
tcf(c_46430,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38499,c_796]) ).
tcf(c_46431,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38499,c_885]) ).
tcf(c_46432,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38499,c_797]) ).
tcf(c_46433,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38499,c_798]) ).
tcf(c_46434,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_24)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38499,c_940]) ).
tcf(c_46435,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38499,c_884]) ).
tcf(c_46436,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38499,c_799]) ).
tcf(c_46437,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38499,c_937]) ).
tcf(c_46438,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38499,c_800]) ).
tcf(c_46439,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_28)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38499,c_943]) ).
tcf(c_46440,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38499,c_941]) ).
tcf(c_46441,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_13)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_12)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38499,c_1247]) ).
tcf(c_46442,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_15)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38499,c_935]) ).
tcf(c_46443,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_14)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38499,c_2900]) ).
tcf(c_46444,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38499,c_2891]) ).
tcf(c_46445,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_24)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38499,c_887]) ).
tcf(c_46446,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_19)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38499,c_1250]) ).
tcf(c_46447,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38499,c_938]) ).
tcf(c_46448,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_17)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38499,c_1251]) ).
tcf(c_46451,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_28)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38499,c_890]) ).
tcf(c_46452,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_27)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38499,c_889]) ).
tcf(c_46453,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_18)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38499,c_1253]) ).
tcf(c_46454,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_13)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38499,c_1254]) ).
tcf(c_46455,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_27)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38499,c_942]) ).
tcf(c_46456,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_38499,c_1255]) ).
tcf(c_46457,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_38499,c_1256]) ).
tcf(c_46610,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46457,c_2458]) ).
tcf(c_46616,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46456,c_2438]) ).
tcf(c_46752,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38600]) ).
tcf(c_46754,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X1)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38600,c_51]) ).
tcf(c_46756,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_38600,c_55]) ).
tcf(c_46757,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X1)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38600,c_58]) ).
tcf(c_46758,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ~ mem(sK0(iPr_def_13,iPr_def_10),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38600,c_61]) ).
tcf(c_46759,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38600,c_60]) ).
tcf(c_46760,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| subq(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38600,c_63]) ).
tcf(c_46761,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_15)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38600,c_2826]) ).
tcf(c_46766,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_14)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38600,c_881]) ).
tcf(c_46767,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_14)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38600,c_934]) ).
tcf(c_46770,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38600,c_886]) ).
tcf(c_46771,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38600,c_796]) ).
tcf(c_46772,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38600,c_885]) ).
tcf(c_46773,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38600,c_797]) ).
tcf(c_46775,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_24)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38600,c_940]) ).
tcf(c_46780,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_28)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38600,c_943]) ).
tcf(c_46781,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38600,c_941]) ).
tcf(c_46782,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_13)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_12)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38600,c_1247]) ).
tcf(c_46783,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_15)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38600,c_935]) ).
tcf(c_46784,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_14)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38600,c_2900]) ).
tcf(c_46785,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_10)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38600,c_2891]) ).
tcf(c_46786,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_24)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38600,c_887]) ).
tcf(c_46787,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_19)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38600,c_1250]) ).
tcf(c_46788,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38600,c_938]) ).
tcf(c_46789,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_17)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38600,c_1251]) ).
tcf(c_46790,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38600,c_939]) ).
tcf(c_46791,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38600,c_1252]) ).
tcf(c_46794,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_18)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38600,c_1253]) ).
tcf(c_46795,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_13)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38600,c_1254]) ).
tcf(c_46796,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_27)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38600,c_942]) ).
tcf(c_46797,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_27) ),
inference(superposition,[status(thm)],[c_38600,c_1255]) ).
tcf(c_46798,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_28) ),
inference(superposition,[status(thm)],[c_38600,c_1256]) ).
tcf(c_46804,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_27)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46796,c_2720]) ).
tcf(c_46834,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46781,c_782]) ).
tcf(c_46839,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_28)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46780,c_782]) ).
tcf(c_46910,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46798,c_2773]) ).
tcf(c_46916,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46797,c_3381]) ).
tcf(c_46922,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_13)
| ( e = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46795,c_2720]) ).
tcf(c_47049,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5198,c_3460]) ).
tcf(c_47050,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5205,c_3460]) ).
tcf(c_47051,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_26245,c_3460]) ).
tcf(c_47052,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3460,c_49]) ).
tcf(c_47053,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3460,c_51]) ).
tcf(c_47055,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_3460,c_55]) ).
tcf(c_47056,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3460,c_58]) ).
tcf(c_47057,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| ~ mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3460,c_61]) ).
tcf(c_47058,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3460,c_60]) ).
tcf(c_47059,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_3460,c_63]) ).
tcf(c_47060,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3460,c_2826]) ).
tcf(c_47061,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3460,c_2825]) ).
tcf(c_47062,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3460,c_793]) ).
tcf(c_47063,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3460,c_2828]) ).
tcf(c_47064,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3460,c_936]) ).
tcf(c_47065,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3460,c_881]) ).
tcf(c_47066,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3460,c_934]) ).
tcf(c_47067,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3460,c_888]) ).
tcf(c_47068,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3460,c_795]) ).
tcf(c_47070,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3460,c_796]) ).
tcf(c_47072,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3460,c_797]) ).
tcf(c_47076,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3460,c_799]) ).
tcf(c_47078,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3460,c_800]) ).
tcf(c_47080,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3460,c_941]) ).
tcf(c_47081,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3460,c_1247]) ).
tcf(c_47082,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3460,c_935]) ).
tcf(c_47083,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3460,c_2900]) ).
tcf(c_47084,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3460,c_2891]) ).
tcf(c_47094,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3460,c_1254]) ).
tcf(c_47306,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4555,c_3518]) ).
tcf(c_47307,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| mem(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4562,c_3518]) ).
tcf(c_47308,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3518,c_49]) ).
tcf(c_47309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3518,c_51]) ).
tcf(c_47311,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| ( sK0(iPr_def_17,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_3518,c_55]) ).
tcf(c_47312,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_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3518,c_58]) ).
tcf(c_47313,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| ~ mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3518,c_61]) ).
tcf(c_47314,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3518,c_60]) ).
tcf(c_47315,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| subq(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_3518,c_63]) ).
tcf(c_47316,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3518,c_2826]) ).
tcf(c_47317,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3518,c_2825]) ).
tcf(c_47318,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3518,c_793]) ).
tcf(c_47319,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3518,c_2828]) ).
tcf(c_47320,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3518,c_936]) ).
tcf(c_47321,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3518,c_881]) ).
tcf(c_47322,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3518,c_934]) ).
tcf(c_47323,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3518,c_888]) ).
tcf(c_47324,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3518,c_795]) ).
tcf(c_47326,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3518,c_796]) ).
tcf(c_47329,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3518,c_798]) ).
tcf(c_47330,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3518,c_940]) ).
tcf(c_47331,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3518,c_884]) ).
tcf(c_47332,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3518,c_799]) ).
tcf(c_47333,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3518,c_937]) ).
tcf(c_47334,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3518,c_800]) ).
tcf(c_47336,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3518,c_941]) ).
tcf(c_47337,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| mem(sK0(iPr_def_17,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3518,c_1247]) ).
tcf(c_47338,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3518,c_935]) ).
tcf(c_47339,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_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3518,c_2900]) ).
tcf(c_47340,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_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3518,c_2891]) ).
tcf(c_47341,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3518,c_887]) ).
tcf(c_47342,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_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3518,c_1250]) ).
tcf(c_47349,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_19)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3518,c_1253]) ).
tcf(c_47350,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_25)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3518,c_1254]) ).
tcf(c_47640,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_10085,c_51]) ).
tcf(c_47641,plain,
( mem(iPr_def_12,iPr_def_21)
| mem(iPr_def_12,iPr_def_17)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10085,c_1251]) ).
tcf(c_47642,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10085,c_939]) ).
tcf(c_47658,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_10168,c_51]) ).
tcf(c_47659,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10168,c_1252]) ).
tcf(c_47675,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_10837,c_51]) ).
tcf(c_47684,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_10866,c_51]) ).
tcf(c_47700,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_38603]) ).
tcf(c_47722,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = X0 )
| ( sK0(iPr_def_25,s(X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_38612]) ).
tcf(c_47809,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_38615]) ).
tcf(c_47825,plain,
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4215,c_38500]) ).
tcf(c_47826,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_38500,c_51]) ).
tcf(c_47827,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_17)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38500,c_1251]) ).
tcf(c_47828,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38500,c_939]) ).
tcf(c_47859,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_50,c_38614]) ).
tcf(c_47860,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,s(sK0(iPr_def_13,X1)))) ),
inference(superposition,[status(thm)],[c_54,c_38614]) ).
tcf(c_47861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| ~ mem(sK0(iPr_def_13,X3),X1)
| ~ subq(iPr_def_25,m(X0,u(X1,X2))) ),
inference(superposition,[status(thm)],[c_56,c_38614]) ).
tcf(c_47862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| ~ mem(sK0(iPr_def_13,X3),X2)
| ~ subq(iPr_def_25,m(X0,u(X1,X2))) ),
inference(superposition,[status(thm)],[c_57,c_38614]) ).
tcf(c_47863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| mem(sK0(iPr_def_13,X3),X2)
| ~ mem(sK0(iPr_def_13,X3),X1)
| ~ subq(iPr_def_25,m(X0,m(X1,X2))) ),
inference(superposition,[status(thm)],[c_59,c_38614]) ).
tcf(c_47864,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(sK0(iPr_def_13,X2),e)
| ~ subq(iPr_def_25,m(X0,p(X1))) ),
inference(superposition,[status(thm)],[c_21676,c_38614]) ).
tcf(c_47865,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,m(X0,p(X1))) ),
inference(superposition,[status(thm)],[c_62,c_38614]) ).
tcf(c_47866,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_26)) ),
inference(superposition,[status(thm)],[c_1093,c_38614]) ).
tcf(c_47867,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_13,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_1123,c_38614]) ).
tcf(c_47868,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_1445,c_38614]) ).
tcf(c_47869,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ( sK0(iPr_def_13,X2) = iPr_def_24 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38462,c_38614]) ).
tcf(c_47870,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_15,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3193,c_38614]) ).
tcf(c_47871,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38386,c_38614]) ).
tcf(c_47872,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_27,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3153,c_38614]) ).
tcf(c_47873,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_14,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2526,c_38614]) ).
tcf(c_47874,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_26,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_2331,c_38614]) ).
tcf(c_47875,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_2332,c_38614]) ).
tcf(c_47876,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_2527,c_38614]) ).
tcf(c_47877,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_25)) ),
inference(superposition,[status(thm)],[c_37453,c_38614]) ).
tcf(c_47878,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38633,c_38614]) ).
tcf(c_47879,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38630,c_38614]) ).
tcf(c_47880,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38620,c_38614]) ).
tcf(c_47881,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = e )
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38619,c_38614]) ).
tcf(c_47882,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_43859,c_38614]) ).
tcf(c_47883,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38634,c_38614]) ).
tcf(c_47884,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38632,c_38614]) ).
tcf(c_47885,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_42316,c_38614]) ).
tcf(c_47886,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38621,c_38614]) ).
tcf(c_47887,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38618,c_38614]) ).
tcf(c_47889,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38646,c_38614]) ).
tcf(c_47890,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38626,c_38614]) ).
tcf(c_47891,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38609,c_38614]) ).
tcf(c_47892,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38387,c_38614]) ).
tcf(c_47893,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_38463,c_38614]) ).
tcf(c_47894,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_25,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_38642,c_38614]) ).
tcf(c_47895,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_38631,c_38614]) ).
tcf(c_47896,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_38436,c_38614]) ).
tcf(c_47897,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_23)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38383,c_38614]) ).
tcf(c_47900,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38386,c_38614]) ).
tcf(c_47903,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38600,c_38614]) ).
tcf(c_47907,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_4207,c_38614]) ).
tcf(c_47908,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),iPr_def_23)
| ( X2 = iPr_def_12 )
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_4208,c_38614]) ).
tcf(c_47909,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_4215,c_38614]) ).
tcf(c_47934,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_47907,c_4207]) ).
tcf(c_48243,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_47877]) ).
tcf(c_48255,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4207,c_48243]) ).
tcf(c_48256,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4208,c_48243]) ).
tcf(c_48257,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4215,c_48243]) ).
tcf(c_48259,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_48243,c_51]) ).
tcf(c_48260,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_48243,c_1252]) ).
tcf(c_48261,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_28)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_48243,c_890]) ).
tcf(c_48262,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_48243,c_889]) ).
tcf(c_48263,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_48243,c_38614]) ).
tcf(c_48314,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_1463,c_47871]) ).
tcf(c_48329,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,s(X1))
| ( X1 = iPr_def_14 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4555,c_3533]) ).
tcf(c_48330,plain,
! [X0: $i] :
( subq(iPr_def_17,iPr_def_10)
| mem(iPr_def_14,X0)
| ( e = iPr_def_14 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_4562,c_3533]) ).
tcf(c_48331,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3533,c_49]) ).
tcf(c_48332,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3533,c_51]) ).
tcf(c_48334,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| ( sK0(iPr_def_17,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3533,c_55]) ).
tcf(c_48335,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_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3533,c_58]) ).
tcf(c_48336,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| ~ mem(sK0(iPr_def_17,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3533,c_61]) ).
tcf(c_48337,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X2)
| mem(sK0(iPr_def_17,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3533,c_60]) ).
tcf(c_48338,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X1)
| subq(sK0(iPr_def_17,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3533,c_63]) ).
tcf(c_48339,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3533,c_2826]) ).
tcf(c_48340,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3533,c_2825]) ).
tcf(c_48341,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3533,c_793]) ).
tcf(c_48342,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3533,c_2828]) ).
tcf(c_48343,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3533,c_936]) ).
tcf(c_48344,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3533,c_881]) ).
tcf(c_48345,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3533,c_934]) ).
tcf(c_48346,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3533,c_888]) ).
tcf(c_48347,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3533,c_795]) ).
tcf(c_48349,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3533,c_796]) ).
tcf(c_48352,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3533,c_798]) ).
tcf(c_48353,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3533,c_940]) ).
tcf(c_48354,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3533,c_884]) ).
tcf(c_48355,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3533,c_799]) ).
tcf(c_48356,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3533,c_937]) ).
tcf(c_48357,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(iPr_def_17,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3533,c_800]) ).
tcf(c_48359,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3533,c_941]) ).
tcf(c_48360,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| mem(sK0(iPr_def_17,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3533,c_1247]) ).
tcf(c_48361,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3533,c_935]) ).
tcf(c_48362,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_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3533,c_2900]) ).
tcf(c_48363,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_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3533,c_2891]) ).
tcf(c_48364,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3533,c_887]) ).
tcf(c_48365,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_19)
| ~ subq(iPr_def_27,iPr_def_21) ),
inference(superposition,[status(thm)],[c_3533,c_1250]) ).
tcf(c_48372,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_19)
| mem(sK0(iPr_def_17,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3533,c_1253]) ).
tcf(c_48373,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| mem(sK0(iPr_def_17,X0),iPr_def_25)
| mem(sK0(iPr_def_17,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3533,c_1254]) ).
tcf(c_48666,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,s(X1))
| ( X1 = iPr_def_19 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5047,c_3580]) ).
tcf(c_48667,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| mem(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_5054,c_3580]) ).
tcf(c_48668,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3580,c_49]) ).
tcf(c_48669,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3580,c_51]) ).
tcf(c_48671,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| ( sK0(iPr_def_20,X1) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_3580,c_55]) ).
tcf(c_48672,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_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3580,c_58]) ).
tcf(c_48673,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| ~ mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3580,c_61]) ).
tcf(c_48674,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3580,c_60]) ).
tcf(c_48675,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| subq(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_3580,c_63]) ).
tcf(c_48676,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3580,c_2826]) ).
tcf(c_48677,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3580,c_2825]) ).
tcf(c_48678,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3580,c_793]) ).
tcf(c_48679,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3580,c_2828]) ).
tcf(c_48680,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3580,c_936]) ).
tcf(c_48681,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3580,c_881]) ).
tcf(c_48682,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3580,c_934]) ).
tcf(c_48683,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3580,c_888]) ).
tcf(c_48684,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3580,c_795]) ).
tcf(c_48686,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3580,c_796]) ).
tcf(c_48688,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3580,c_797]) ).
tcf(c_48689,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3580,c_798]) ).
tcf(c_48690,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3580,c_940]) ).
tcf(c_48694,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3580,c_800]) ).
tcf(c_48696,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3580,c_941]) ).
tcf(c_48697,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| mem(sK0(iPr_def_20,X0),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3580,c_1247]) ).
tcf(c_48698,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3580,c_935]) ).
tcf(c_48699,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_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3580,c_2900]) ).
tcf(c_48700,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_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3580,c_2891]) ).
tcf(c_48701,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3580,c_887]) ).
tcf(c_48709,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_19)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3580,c_1253]) ).
tcf(c_48710,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_25)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3580,c_1254]) ).
tcf(c_48955,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_10882,c_51]) ).
tcf(c_48956,plain,
( mem(iPr_def_15,iPr_def_14)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10882,c_2900]) ).
tcf(c_48967,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_12422,c_51]) ).
tcf(c_48968,plain,
( mem(iPr_def_15,iPr_def_14)
| mem(iPr_def_15,iPr_def_10)
| ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12422,c_2900]) ).
tcf(c_48979,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_12622,c_51]) ).
tcf(c_48980,plain,
( mem(iPr_def_15,iPr_def_21)
| mem(iPr_def_15,iPr_def_17)
| ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12622,c_1251]) ).
tcf(c_48992,plain,
! [X0: $i] :
( mem(iPr_def_15,X0)
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_12638,c_51]) ).
tcf(c_48993,plain,
( mem(iPr_def_15,iPr_def_21)
| mem(iPr_def_15,iPr_def_17)
| ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12638,c_1251]) ).
tcf(c_49046,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38538]) ).
tcf(c_49047,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(e))
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_263,c_38538]) ).
tcf(c_49049,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_15))
| mem(sK0(iPr_def_13,iPr_def_16),X0)
| ( iPr_def_12 = iPr_def_15 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_269,c_38538]) ).
tcf(c_49050,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_14))
| mem(sK0(iPr_def_13,iPr_def_17),X0)
| ( iPr_def_12 = iPr_def_14 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_270,c_38538]) ).
tcf(c_49051,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_18))
| mem(sK0(iPr_def_13,iPr_def_19),X0)
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_272,c_38538]) ).
tcf(c_49052,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_19))
| mem(sK0(iPr_def_13,iPr_def_20),X0)
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_273,c_38538]) ).
tcf(c_49053,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_24))
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_278,c_38538]) ).
tcf(c_49054,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_10))
| mem(sK0(iPr_def_13,iPr_def_12),X0)
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2833,c_38538]) ).
tcf(c_49055,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_38538,c_49]) ).
tcf(c_49056,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X1)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38538,c_51]) ).
tcf(c_49058,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X1)) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_38538,c_55]) ).
tcf(c_49059,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X1)
| mem(sK0(iPr_def_13,s(X2)),X0)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38538,c_58]) ).
tcf(c_49060,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,m(X2,X1))
| ~ mem(sK0(iPr_def_13,s(X0)),X1) ),
inference(superposition,[status(thm)],[c_38538,c_61]) ).
tcf(c_49061,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X0)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38538,c_60]) ).
tcf(c_49062,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X1))
| subq(sK0(iPr_def_13,s(X1)),X0)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_38538,c_63]) ).
tcf(c_49063,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_15)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38538,c_2826]) ).
tcf(c_49064,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_18)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38538,c_2825]) ).
tcf(c_49065,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38538,c_793]) ).
tcf(c_49066,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38538,c_2828]) ).
tcf(c_49067,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_18)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38538,c_936]) ).
tcf(c_49068,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_14)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38538,c_881]) ).
tcf(c_49069,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_14)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38538,c_934]) ).
tcf(c_49070,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38538,c_888]) ).
tcf(c_49073,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38538,c_796]) ).
tcf(c_49074,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_22)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38538,c_885]) ).
tcf(c_49075,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38538,c_797]) ).
tcf(c_49076,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38538,c_798]) ).
tcf(c_49077,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_24)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38538,c_940]) ).
tcf(c_49078,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38538,c_884]) ).
tcf(c_49079,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38538,c_799]) ).
tcf(c_49080,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38538,c_937]) ).
tcf(c_49081,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38538,c_800]) ).
tcf(c_49082,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_28)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38538,c_943]) ).
tcf(c_49083,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38538,c_941]) ).
tcf(c_49084,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_13)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_12)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38538,c_1247]) ).
tcf(c_49085,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_15)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38538,c_935]) ).
tcf(c_49086,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_14)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_10)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38538,c_2900]) ).
tcf(c_49087,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_12)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_10)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38538,c_2891]) ).
tcf(c_49088,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_24)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38538,c_887]) ).
tcf(c_49089,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_20)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_19)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38538,c_1250]) ).
tcf(c_49090,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_22)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38538,c_938]) ).
tcf(c_49091,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_17)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38538,c_1251]) ).
tcf(c_49094,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_28)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38538,c_890]) ).
tcf(c_49095,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_27)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38538,c_889]) ).
tcf(c_49096,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_19)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_18)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38538,c_1253]) ).
tcf(c_49097,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_13)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38538,c_1254]) ).
tcf(c_49098,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_27)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38538,c_942]) ).
tcf(c_49099,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_38538,c_1255]) ).
tcf(c_49100,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_38538,c_1256]) ).
tcf(c_49101,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),iPr_def_23)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38538,c_38614]) ).
tcf(c_49111,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_12),X0)
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_49054,c_2833]) ).
tcf(c_49117,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_49053,c_278]) ).
tcf(c_49123,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_20),X0)
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_49052,c_273]) ).
tcf(c_49129,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_19),X0)
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_49051,c_272]) ).
tcf(c_49135,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_17)
| mem(sK0(iPr_def_13,iPr_def_17),X0)
| ( iPr_def_12 = iPr_def_14 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_49050,c_270]) ).
tcf(c_49141,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_16),X0)
| ( iPr_def_12 = iPr_def_15 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_49049,c_269]) ).
tcf(c_49297,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49100,c_2458]) ).
tcf(c_49303,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49099,c_2438]) ).
tcf(c_49557,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38599]) ).
tcf(c_49558,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(e))
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_263,c_38599]) ).
tcf(c_49560,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(iPr_def_15))
| mem(sK0(iPr_def_13,iPr_def_16),X0)
| ( iPr_def_12 = iPr_def_15 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_269,c_38599]) ).
tcf(c_49561,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(iPr_def_14))
| mem(sK0(iPr_def_13,iPr_def_17),X0)
| ( iPr_def_12 = iPr_def_14 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_270,c_38599]) ).
tcf(c_49562,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(iPr_def_18))
| mem(sK0(iPr_def_13,iPr_def_19),X0)
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_272,c_38599]) ).
tcf(c_49563,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(iPr_def_19))
| mem(sK0(iPr_def_13,iPr_def_20),X0)
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_273,c_38599]) ).
tcf(c_49564,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(iPr_def_24))
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_278,c_38599]) ).
tcf(c_49565,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(iPr_def_10))
| mem(sK0(iPr_def_13,iPr_def_12),X0)
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_2833,c_38599]) ).
tcf(c_49567,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X1)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38599,c_51]) ).
tcf(c_49569,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X1)) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_38599,c_55]) ).
tcf(c_49570,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X1)
| mem(sK0(iPr_def_13,s(X2)),X0)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38599,c_58]) ).
tcf(c_49571,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,m(X2,X1))
| ~ mem(sK0(iPr_def_13,s(X0)),X1) ),
inference(superposition,[status(thm)],[c_38599,c_61]) ).
tcf(c_49572,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X0)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38599,c_60]) ).
tcf(c_49573,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X1))
| subq(sK0(iPr_def_13,s(X1)),X0)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38599,c_63]) ).
tcf(c_49574,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_15)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38599,c_2826]) ).
tcf(c_49579,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_14)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38599,c_881]) ).
tcf(c_49580,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_14)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38599,c_934]) ).
tcf(c_49583,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38599,c_886]) ).
tcf(c_49584,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38599,c_796]) ).
tcf(c_49585,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_22)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38599,c_885]) ).
tcf(c_49586,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38599,c_797]) ).
tcf(c_49588,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_24)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38599,c_940]) ).
tcf(c_49593,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_28)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38599,c_943]) ).
tcf(c_49594,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38599,c_941]) ).
tcf(c_49595,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_13)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_12)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38599,c_1247]) ).
tcf(c_49596,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_15)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38599,c_935]) ).
tcf(c_49597,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_14)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_10)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38599,c_2900]) ).
tcf(c_49598,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_12)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_10)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38599,c_2891]) ).
tcf(c_49599,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_24)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38599,c_887]) ).
tcf(c_49600,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_20)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_19)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38599,c_1250]) ).
tcf(c_49601,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_22)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38599,c_938]) ).
tcf(c_49602,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_17)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38599,c_1251]) ).
tcf(c_49603,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38599,c_939]) ).
tcf(c_49604,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_22)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_16)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38599,c_1252]) ).
tcf(c_49607,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_19)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_18)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38599,c_1253]) ).
tcf(c_49608,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_13)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38599,c_1254]) ).
tcf(c_49609,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_27)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38599,c_942]) ).
tcf(c_49610,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_27) ),
inference(superposition,[status(thm)],[c_38599,c_1255]) ).
tcf(c_49611,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_28) ),
inference(superposition,[status(thm)],[c_38599,c_1256]) ).
tcf(c_49612,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),iPr_def_23)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38599,c_38614]) ).
tcf(c_49618,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_12),X0)
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_49565,c_2833]) ).
tcf(c_49624,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_49564,c_278]) ).
tcf(c_49630,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_20),X0)
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_49563,c_273]) ).
tcf(c_49636,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_19),X0)
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_49562,c_272]) ).
tcf(c_49642,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_17)
| mem(sK0(iPr_def_13,iPr_def_17),X0)
| ( iPr_def_12 = iPr_def_14 )
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_49561,c_270]) ).
tcf(c_49648,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_16),X0)
| ( iPr_def_12 = iPr_def_15 )
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_49560,c_269]) ).
tcf(c_49655,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_27)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49609,c_2720]) ).
tcf(c_49685,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49594,c_782]) ).
tcf(c_49690,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_28)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49593,c_782]) ).
tcf(c_49767,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49611,c_2773]) ).
tcf(c_49773,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_26)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49610,c_3381]) ).
tcf(c_49779,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_25)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_13)
| ( X0 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49608,c_2720]) ).
tcf(c_49978,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_23)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_38602]) ).
tcf(c_50004,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,e)
| mem(iPr_def_12,X1)
| mem(sK0(iPr_def_13,e),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38605]) ).
tcf(c_50005,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X0)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38605]) ).
tcf(c_50006,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X1)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38605]) ).
tcf(c_50007,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,e)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,e),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38605]) ).
tcf(c_50008,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X2))
| mem(sK0(iPr_def_13,s(X2)),X1)
| ( X2 = iPr_def_12 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38605]) ).
tcf(c_50009,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,iPr_def_10),X1)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38605]) ).
tcf(c_50011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),X2)
| mem(sK0(iPr_def_13,X3),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(iPr_def_23,X2)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38605,c_51]) ).
tcf(c_50013,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ( sK0(iPr_def_13,X2) = X0 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_38605,c_55]) ).
tcf(c_50014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),X2)
| mem(sK0(iPr_def_13,X3),X1)
| mem(sK0(iPr_def_13,X3),X0)
| ~ subq(iPr_def_23,X2)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_58]) ).
tcf(c_50015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X3)
| ~ subq(iPr_def_23,X3)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_61]) ).
tcf(c_50016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),X2)
| mem(sK0(iPr_def_13,X3),X0)
| ~ subq(iPr_def_23,X2)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_60]) ).
tcf(c_50017,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| subq(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38605,c_63]) ).
tcf(c_50018,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_15)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2826]) ).
tcf(c_50023,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_14)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_881]) ).
tcf(c_50024,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_14)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_934]) ).
tcf(c_50025,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_888]) ).
tcf(c_50026,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_795]) ).
tcf(c_50027,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_886]) ).
tcf(c_50028,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_796]) ).
tcf(c_50029,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_885]) ).
tcf(c_50030,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_797]) ).
tcf(c_50032,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_24)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_940]) ).
tcf(c_50036,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_25)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_800]) ).
tcf(c_50037,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_28)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_25)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_943]) ).
tcf(c_50038,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_25)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_941]) ).
tcf(c_50039,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_13)
| mem(sK0(iPr_def_13,X1),iPr_def_12)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1247]) ).
tcf(c_50040,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_15)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_935]) ).
tcf(c_50041,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_14)
| mem(sK0(iPr_def_13,X1),iPr_def_10)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_15)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2900]) ).
tcf(c_50042,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_12)
| mem(sK0(iPr_def_13,X1),iPr_def_10)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2891]) ).
tcf(c_50043,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_24)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_887]) ).
tcf(c_50044,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_20)
| mem(sK0(iPr_def_13,X1),iPr_def_19)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1250]) ).
tcf(c_50045,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_938]) ).
tcf(c_50046,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),iPr_def_17)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1251]) ).
tcf(c_50047,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_939]) ).
tcf(c_50048,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1252]) ).
tcf(c_50050,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_889]) ).
tcf(c_50051,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_19)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1253]) ).
tcf(c_50052,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_13)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_26)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1254]) ).
tcf(c_50053,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_26)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_942]) ).
tcf(c_50054,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_27)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1255]) ).
tcf(c_50055,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,iPr_def_28)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1256]) ).
tcf(c_50056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| mem(sK0(iPr_def_13,X3),X2)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X2)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_38614]) ).
tcf(c_50057,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_49]) ).
tcf(c_50058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),X2)
| mem(sK0(iPr_def_13,X3),X1)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38605,c_51]) ).
tcf(c_50060,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ( sK0(iPr_def_13,X2) = X0 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_38605,c_55]) ).
tcf(c_50061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),X2)
| mem(sK0(iPr_def_13,X3),X1)
| mem(sK0(iPr_def_13,X3),X0)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_58]) ).
tcf(c_50062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X3)
| ~ subq(iPr_def_25,X3)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_61]) ).
tcf(c_50063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),X2)
| mem(sK0(iPr_def_13,X3),X0)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_60]) ).
tcf(c_50064,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| subq(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_38605,c_63]) ).
tcf(c_50065,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_15)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2826]) ).
tcf(c_50066,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2825]) ).
tcf(c_50067,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = e )
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_793]) ).
tcf(c_50068,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2828]) ).
tcf(c_50069,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_936]) ).
tcf(c_50070,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_14)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_881]) ).
tcf(c_50071,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_14)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_934]) ).
tcf(c_50072,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_888]) ).
tcf(c_50073,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_795]) ).
tcf(c_50074,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_886]) ).
tcf(c_50075,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_796]) ).
tcf(c_50076,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_885]) ).
tcf(c_50077,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_797]) ).
tcf(c_50078,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_798]) ).
tcf(c_50079,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_24)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_940]) ).
tcf(c_50080,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_884]) ).
tcf(c_50081,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_799]) ).
tcf(c_50082,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_20)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_937]) ).
tcf(c_50083,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X1) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_800]) ).
tcf(c_50084,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_28)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_25)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_943]) ).
tcf(c_50085,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_25)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_941]) ).
tcf(c_50086,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_13)
| mem(sK0(iPr_def_13,X1),iPr_def_12)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1247]) ).
tcf(c_50087,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_15)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_935]) ).
tcf(c_50088,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_14)
| mem(sK0(iPr_def_13,X1),iPr_def_10)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_15)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2900]) ).
tcf(c_50089,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_12)
| mem(sK0(iPr_def_13,X1),iPr_def_10)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_2891]) ).
tcf(c_50090,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_24)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_887]) ).
tcf(c_50091,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_20)
| mem(sK0(iPr_def_13,X1),iPr_def_19)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1250]) ).
tcf(c_50092,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_938]) ).
tcf(c_50093,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),iPr_def_17)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_22)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1251]) ).
tcf(c_50094,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_22)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_939]) ).
tcf(c_50095,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1252]) ).
tcf(c_50096,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_28)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_890]) ).
tcf(c_50097,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_889]) ).
tcf(c_50098,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_19)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_24)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1253]) ).
tcf(c_50099,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_13)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_26)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1254]) ).
tcf(c_50100,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_26)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_942]) ).
tcf(c_50101,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_27)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1255]) ).
tcf(c_50102,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,iPr_def_28)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_1256]) ).
tcf(c_50103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| mem(sK0(iPr_def_13,X3),X2)
| ~ subq(iPr_def_25,X2)
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38605,c_38614]) ).
tcf(c_50104,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0)
| ~ subq(iPr_def_23,X0) ),
inference(equality_factoring,[status(thm)],[c_38605]) ).
tcf(c_50114,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,e)
| mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_50007,c_4207]) ).
tcf(c_50213,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_27)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50053,c_2720]) ).
tcf(c_50248,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50038,c_782]) ).
tcf(c_50253,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_28)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50037,c_782]) ).
tcf(c_50425,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50102,c_2458]) ).
tcf(c_50431,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50101,c_2438]) ).
tcf(c_50480,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50055,c_2773]) ).
tcf(c_50486,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_26)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50054,c_3381]) ).
tcf(c_50492,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_25)
| mem(sK0(iPr_def_13,X1),iPr_def_13)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50052,c_2720]) ).
tcf(c_51078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(p(X0),X1)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,sK0(p(X0),X1)) ),
inference(superposition,[status(thm)],[c_773,c_38610]) ).
tcf(c_51080,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ( sK0(s(X0),X1) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_791,c_38610]) ).
tcf(c_51081,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_12,p(X0)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4081,c_38610]) ).
tcf(c_51082,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_10,X0) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_831,c_38610]) ).
tcf(c_51083,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_8379,c_38610]) ).
tcf(c_51084,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,p(X0)) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4212,c_38610]) ).
tcf(c_51085,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_12,X0) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2819,c_38610]) ).
tcf(c_51086,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_849,c_38610]) ).
tcf(c_51087,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_16,X0) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_858,c_38610]) ).
tcf(c_51088,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_17,X0) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_867,c_38610]) ).
tcf(c_51089,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_20,p(X0)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_5051,c_38610]) ).
tcf(c_51090,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_19,X0) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1469,c_38610]) ).
tcf(c_51091,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_19,p(X0)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_5202,c_38610]) ).
tcf(c_51092,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_20,X0) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_1466,c_38610]) ).
tcf(c_51093,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_1463,c_38610]) ).
tcf(c_51094,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_17,p(X0)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4559,c_38610]) ).
tcf(c_51095,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_16,p(X0)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_4363,c_38610]) ).
tcf(c_51096,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_25,p(X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_4869,c_38610]) ).
tcf(c_51117,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2955,c_38610]) ).
tcf(c_51118,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2991,c_38610]) ).
tcf(c_51119,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3005,c_38610]) ).
tcf(c_51124,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3192,c_38610]) ).
tcf(c_51125,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3215,c_38610]) ).
tcf(c_51126,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3275,c_38610]) ).
tcf(c_51131,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3459,c_38610]) ).
tcf(c_51134,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3579,c_38610]) ).
tcf(c_51141,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),s(X0))
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,s(X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38459,c_38610]) ).
tcf(c_51142,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_13,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38460,c_38610]) ).
tcf(c_51144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| mem(sK0(iPr_def_13,X3),X0)
| subq(m(p(X0),X1),X2)
| ~ subq(iPr_def_25,sK0(m(p(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18450,c_38610]) ).
tcf(c_51145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X3)
| subq(X0,X1)
| mem(sK0(iPr_def_13,X3),iPr_def_23)
| mem(sK0(iPr_def_13,X3),X2)
| ~ subq(X0,p(X2))
| ~ subq(iPr_def_25,sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18917,c_38610]) ).
tcf(c_51146,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X1)
| subq(p(e),X0)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X2)
| ~ subq(iPr_def_25,sK0(p(e),X0)) ),
inference(superposition,[status(thm)],[c_19694,c_38610]) ).
tcf(c_51147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X3)
| subq(m(p(e),X0),X1)
| ~ subq(iPr_def_25,sK0(m(p(e),X0),X1)) ),
inference(superposition,[status(thm)],[c_19715,c_38610]) ).
tcf(c_51148,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_14,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_19759,c_38610]) ).
tcf(c_51149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_13,X2)
| subq(X0,X1)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X3)
| ~ subq(X0,p(e))
| ~ subq(iPr_def_25,sK0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20550,c_38610]) ).
tcf(c_51150,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_21,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_20704,c_38610]) ).
tcf(c_51151,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),p(X1))
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_21138,c_38610]) ).
tcf(c_51152,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_17,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_22,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_21165,c_38610]) ).
tcf(c_51153,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_16,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_23,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_21376,c_38610]) ).
tcf(c_51154,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),p(X2))
| ~ subq(iPr_def_25,m(p(e),X0)) ),
inference(superposition,[status(thm)],[c_22942,c_38610]) ).
tcf(c_51155,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_24,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_18,X0)) ),
inference(superposition,[status(thm)],[c_23024,c_38610]) ).
tcf(c_51156,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_38616,c_38610]) ).
tcf(c_51157,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_26,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_23363,c_38610]) ).
tcf(c_51159,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_29554,c_38610]) ).
tcf(c_51161,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_26,X0)) ),
inference(superposition,[status(thm)],[c_29604,c_38610]) ).
tcf(c_51163,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38461,c_38610]) ).
tcf(c_51198,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51159,c_2720]) ).
tcf(c_51210,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51093,c_782]) ).
tcf(c_51549,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_16)
| mem(sK0(iPr_def_13,e),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38606]) ).
tcf(c_51550,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_16)
| mem(sK0(iPr_def_13,s(X1)),X0)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38606]) ).
tcf(c_51551,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_10),X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38606]) ).
tcf(c_51552,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,e),iPr_def_22)
| mem(sK0(iPr_def_13,e),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4207,c_38606]) ).
tcf(c_51553,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_22)
| mem(sK0(iPr_def_13,s(X1)),iPr_def_16)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38606]) ).
tcf(c_51554,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_16)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38606]) ).
tcf(c_51555,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_22),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38606,c_49]) ).
tcf(c_51556,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_38606,c_51]) ).
tcf(c_51557,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_21)
| mem(sK0(iPr_def_13,X1),iPr_def_17)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38606,c_1251]) ).
tcf(c_51558,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38606,c_939]) ).
tcf(c_51559,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_38606,c_38614]) ).
tcf(c_51561,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_22)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38606,c_51]) ).
tcf(c_51563,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_38606,c_55]) ).
tcf(c_51564,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_22)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38606,c_58]) ).
tcf(c_51565,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_22)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38606,c_61]) ).
tcf(c_51566,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_22)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38606,c_60]) ).
tcf(c_51567,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_22)
| mem(sK0(iPr_def_13,X1),iPr_def_16)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_38606,c_63]) ).
tcf(c_51568,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38606,c_2826]) ).
tcf(c_51573,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38606,c_881]) ).
tcf(c_51574,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38606,c_934]) ).
tcf(c_51576,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_38606,c_795]) ).
tcf(c_51577,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38606,c_886]) ).
tcf(c_51578,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38606,c_796]) ).
tcf(c_51580,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38606,c_797]) ).
tcf(c_51582,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38606,c_940]) ).
tcf(c_51589,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_13)
| mem(sK0(iPr_def_13,X0),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38606,c_1247]) ).
tcf(c_51590,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_38606,c_935]) ).
tcf(c_51591,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_14)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_38606,c_2900]) ).
tcf(c_51592,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_12)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38606,c_2891]) ).
tcf(c_51593,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38606,c_887]) ).
tcf(c_51594,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38606,c_1250]) ).
tcf(c_51601,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38606,c_1253]) ).
tcf(c_51602,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_13)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_38606,c_1254]) ).
tcf(c_51606,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),iPr_def_22)
| mem(sK0(iPr_def_13,X2),iPr_def_16)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38606,c_38614]) ).
tcf(c_51613,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,e)
| mem(iPr_def_12,X0)
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_51552,c_4207]) ).
tcf(c_51724,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_25)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| mem(sK0(iPr_def_13,X0),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51602,c_2720]) ).
tcf(c_51814,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_13) ),
inference(global_subsumption_just,[status(thm)],[c_38638,c_37548]) ).
tcf(c_51822,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3614,c_49]) ).
tcf(c_51823,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3614,c_51]) ).
tcf(c_51825,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| ( sK0(iPr_def_21,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_3614,c_55]) ).
tcf(c_51826,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_58]) ).
tcf(c_51827,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| ~ mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_61]) ).
tcf(c_51828,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_60]) ).
tcf(c_51829,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| subq(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_3614,c_63]) ).
tcf(c_51830,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3614,c_2826]) ).
tcf(c_51831,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3614,c_2825]) ).
tcf(c_51832,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3614,c_793]) ).
tcf(c_51833,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3614,c_2828]) ).
tcf(c_51834,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3614,c_936]) ).
tcf(c_51835,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3614,c_881]) ).
tcf(c_51836,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3614,c_934]) ).
tcf(c_51837,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3614,c_888]) ).
tcf(c_51838,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3614,c_795]) ).
tcf(c_51840,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3614,c_796]) ).
tcf(c_51842,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3614,c_797]) ).
tcf(c_51843,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3614,c_798]) ).
tcf(c_51844,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3614,c_940]) ).
tcf(c_51845,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3614,c_884]) ).
tcf(c_51846,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3614,c_799]) ).
tcf(c_51847,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3614,c_937]) ).
tcf(c_51848,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3614,c_800]) ).
tcf(c_51850,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3614,c_941]) ).
tcf(c_51851,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3614,c_1247]) ).
tcf(c_51852,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3614,c_935]) ).
tcf(c_51853,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3614,c_2900]) ).
tcf(c_51854,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3614,c_2891]) ).
tcf(c_51855,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3614,c_887]) ).
tcf(c_51863,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_19)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3614,c_1253]) ).
tcf(c_51864,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_25)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3614,c_1254]) ).
tcf(c_52111,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3629,c_49]) ).
tcf(c_52112,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3629,c_51]) ).
tcf(c_52114,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| ( sK0(iPr_def_21,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3629,c_55]) ).
tcf(c_52115,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X1)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3629,c_58]) ).
tcf(c_52116,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| ~ mem(sK0(iPr_def_21,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3629,c_61]) ).
tcf(c_52117,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X2)
| mem(sK0(iPr_def_21,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3629,c_60]) ).
tcf(c_52118,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| subq(sK0(iPr_def_21,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3629,c_63]) ).
tcf(c_52119,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3629,c_2826]) ).
tcf(c_52120,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3629,c_2825]) ).
tcf(c_52121,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3629,c_793]) ).
tcf(c_52122,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3629,c_2828]) ).
tcf(c_52123,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3629,c_936]) ).
tcf(c_52124,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3629,c_881]) ).
tcf(c_52125,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3629,c_934]) ).
tcf(c_52126,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3629,c_888]) ).
tcf(c_52127,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3629,c_795]) ).
tcf(c_52129,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3629,c_796]) ).
tcf(c_52131,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3629,c_797]) ).
tcf(c_52132,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3629,c_798]) ).
tcf(c_52133,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3629,c_940]) ).
tcf(c_52134,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3629,c_884]) ).
tcf(c_52135,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3629,c_799]) ).
tcf(c_52136,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3629,c_937]) ).
tcf(c_52137,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3629,c_800]) ).
tcf(c_52139,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3629,c_941]) ).
tcf(c_52140,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3629,c_1247]) ).
tcf(c_52141,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3629,c_935]) ).
tcf(c_52142,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_14)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3629,c_2900]) ).
tcf(c_52143,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_12)
| mem(sK0(iPr_def_21,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3629,c_2891]) ).
tcf(c_52144,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3629,c_887]) ).
tcf(c_52152,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_19)
| mem(sK0(iPr_def_21,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3629,c_1253]) ).
tcf(c_52153,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| mem(sK0(iPr_def_21,X0),iPr_def_25)
| mem(sK0(iPr_def_21,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3629,c_1254]) ).
tcf(c_52299,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_13260,c_51]) ).
tcf(c_52308,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_13276,c_51]) ).
tcf(c_52317,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_13296,c_51]) ).
tcf(c_52318,plain,
( mem(iPr_def_14,iPr_def_14)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13296,c_2900]) ).
tcf(c_52353,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_13326,c_51]) ).
tcf(c_52354,plain,
( mem(iPr_def_14,iPr_def_14)
| mem(iPr_def_14,iPr_def_10)
| ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13326,c_2900]) ).
tcf(c_52373,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_12)
| mem(sK0(iPr_def_13,e),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_4207,c_38641]) ).
tcf(c_52381,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_12)
| mem(sK0(iPr_def_13,X1),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38641,c_38614]) ).
tcf(c_52382,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_52373,c_4207]) ).
tcf(c_52406,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,e)
| mem(sK0(iPr_def_13,e),iPr_def_19)
| mem(sK0(iPr_def_13,e),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_4207,c_38650]) ).
tcf(c_52414,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),iPr_def_19)
| mem(sK0(iPr_def_13,X1),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_38650,c_38614]) ).
tcf(c_52415,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,e)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_52406,c_4207]) ).
tcf(c_52437,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_16)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4208,c_38539]) ).
tcf(c_52438,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(e))
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_22)
| mem(sK0(iPr_def_13,s(e)),iPr_def_16)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_263,c_38539]) ).
tcf(c_52440,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_15))
| mem(sK0(iPr_def_13,iPr_def_16),iPr_def_22)
| mem(sK0(iPr_def_13,s(iPr_def_15)),iPr_def_16)
| ( iPr_def_12 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_269,c_38539]) ).
tcf(c_52441,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_14))
| mem(sK0(iPr_def_13,iPr_def_17),iPr_def_22)
| mem(sK0(iPr_def_13,s(iPr_def_14)),iPr_def_16)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270,c_38539]) ).
tcf(c_52442,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_18))
| mem(sK0(iPr_def_13,iPr_def_19),iPr_def_22)
| mem(sK0(iPr_def_13,s(iPr_def_18)),iPr_def_16)
| ( iPr_def_12 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_272,c_38539]) ).
tcf(c_52443,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_19))
| mem(sK0(iPr_def_13,iPr_def_20),iPr_def_22)
| mem(sK0(iPr_def_13,s(iPr_def_19)),iPr_def_16)
| ( iPr_def_12 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_273,c_38539]) ).
tcf(c_52444,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_24))
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_22)
| mem(sK0(iPr_def_13,s(iPr_def_24)),iPr_def_16)
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_278,c_38539]) ).
tcf(c_52445,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(iPr_def_10))
| mem(sK0(iPr_def_13,iPr_def_12),iPr_def_22)
| mem(sK0(iPr_def_13,s(iPr_def_10)),iPr_def_16)
| ( iPr_def_10 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_2833,c_38539]) ).
tcf(c_52446,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_16)
| mem(sK0(iPr_def_13,s(X1)),X0)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_38539,c_51]) ).
tcf(c_52447,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_21)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_17)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_16)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38539,c_1251]) ).
tcf(c_52448,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| mem(sK0(iPr_def_13,s(X0)),iPr_def_16)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_38539,c_939]) ).
tcf(c_52449,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,s(X1))
| mem(sK0(iPr_def_13,s(X1)),iPr_def_23)
| mem(sK0(iPr_def_13,s(X1)),iPr_def_16)
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_38539,c_38614]) ).
tcf(c_52455,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_12),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_12),iPr_def_16)
| ( iPr_def_10 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_52445,c_2833]) ).
tcf(c_52462,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_20),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_20),iPr_def_16)
| ( iPr_def_12 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_52443,c_273]) ).
tcf(c_52468,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_19),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_19),iPr_def_16)
| ( iPr_def_12 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_52442,c_272]) ).
tcf(c_52474,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_17)
| mem(sK0(iPr_def_13,iPr_def_17),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_17),iPr_def_16)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_52441,c_270]) ).
tcf(c_52480,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,iPr_def_16)
| mem(sK0(iPr_def_13,iPr_def_16),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_16),iPr_def_16)
| ( iPr_def_12 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_52440,c_269]) ).
tcf(c_52696,plain,
~ subq(iPr_def_14,p(e)),
inference(global_subsumption_just,[status(thm)],[c_23862,c_66,c_1188,c_1189,c_23899,c_30235]) ).
tcf(c_52698,plain,
sK0(iPr_def_17,p(p(e))) = iPr_def_14,
inference(superposition,[status(thm)],[c_4559,c_52696]) ).
tcf(c_52706,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5198,c_3715]) ).
tcf(c_52707,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5205,c_3715]) ).
tcf(c_52708,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_26245,c_3715]) ).
tcf(c_52709,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3715,c_49]) ).
tcf(c_52710,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3715,c_51]) ).
tcf(c_52712,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_3715,c_55]) ).
tcf(c_52713,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3715,c_58]) ).
tcf(c_52714,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| ~ mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3715,c_61]) ).
tcf(c_52715,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3715,c_60]) ).
tcf(c_52716,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_3715,c_63]) ).
tcf(c_52717,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3715,c_2826]) ).
tcf(c_52718,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3715,c_2825]) ).
tcf(c_52719,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3715,c_793]) ).
tcf(c_52720,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3715,c_2828]) ).
tcf(c_52721,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3715,c_936]) ).
tcf(c_52722,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3715,c_881]) ).
tcf(c_52723,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3715,c_934]) ).
tcf(c_52724,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3715,c_888]) ).
tcf(c_52725,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3715,c_795]) ).
tcf(c_52727,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3715,c_796]) ).
tcf(c_52729,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3715,c_797]) ).
tcf(c_52733,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3715,c_799]) ).
tcf(c_52735,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3715,c_800]) ).
tcf(c_52737,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3715,c_941]) ).
tcf(c_52738,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3715,c_1247]) ).
tcf(c_52739,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3715,c_935]) ).
tcf(c_52740,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3715,c_2900]) ).
tcf(c_52741,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3715,c_2891]) ).
tcf(c_52751,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3715,c_1254]) ).
tcf(c_53051,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5198,c_3729]) ).
tcf(c_53052,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| mem(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5205,c_3729]) ).
tcf(c_53053,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_26245,c_3729]) ).
tcf(c_53054,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3729,c_49]) ).
tcf(c_53055,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3729,c_51]) ).
tcf(c_53057,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3729,c_55]) ).
tcf(c_53058,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X1)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3729,c_58]) ).
tcf(c_53059,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| ~ mem(sK0(iPr_def_19,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3729,c_61]) ).
tcf(c_53060,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X2)
| mem(sK0(iPr_def_19,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3729,c_60]) ).
tcf(c_53061,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(sK0(iPr_def_19,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3729,c_63]) ).
tcf(c_53062,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3729,c_2826]) ).
tcf(c_53063,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3729,c_2825]) ).
tcf(c_53064,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3729,c_793]) ).
tcf(c_53065,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3729,c_2828]) ).
tcf(c_53066,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3729,c_936]) ).
tcf(c_53067,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3729,c_881]) ).
tcf(c_53068,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3729,c_934]) ).
tcf(c_53069,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3729,c_888]) ).
tcf(c_53070,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3729,c_795]) ).
tcf(c_53072,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3729,c_796]) ).
tcf(c_53074,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3729,c_797]) ).
tcf(c_53078,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_19 )
| ~ subq(iPr_def_27,iPr_def_20) ),
inference(superposition,[status(thm)],[c_3729,c_799]) ).
tcf(c_53080,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3729,c_800]) ).
tcf(c_53082,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3729,c_941]) ).
tcf(c_53083,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3729,c_1247]) ).
tcf(c_53084,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3729,c_935]) ).
tcf(c_53085,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_14)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3729,c_2900]) ).
tcf(c_53086,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_12)
| mem(sK0(iPr_def_19,X0),iPr_def_10)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3729,c_2891]) ).
tcf(c_53096,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| mem(sK0(iPr_def_19,X0),iPr_def_25)
| mem(sK0(iPr_def_19,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3729,c_1254]) ).
tcf(c_53223,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_52698,c_20550]) ).
tcf(c_53224,plain,
( subq(iPr_def_17,p(p(e)))
| ~ mem(iPr_def_14,p(p(e))) ),
inference(superposition,[status(thm)],[c_52698,c_49]) ).
tcf(c_53226,plain,
( subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_52698,c_21696]) ).
tcf(c_53232,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_52698,c_18917]) ).
tcf(c_53233,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_52698,c_1123]) ).
tcf(c_53234,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_52698,c_3533]) ).
tcf(c_53235,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_52698,c_3518]) ).
tcf(c_53236,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_52698,c_21165]) ).
tcf(c_53237,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_52698,c_3024]) ).
tcf(c_53238,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,p(p(e)))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_52698,c_2210]) ).
tcf(c_53273,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_18184,c_51]) ).
tcf(c_53282,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_18200,c_51]) ).
tcf(c_53291,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_18216,c_51]) ).
tcf(c_53292,plain,
( mem(iPr_def_24,iPr_def_14)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18216,c_2900]) ).
tcf(c_53309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_29601]) ).
tcf(c_53310,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| mem(sK0(iPr_def_26,X0),e)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2831,c_29601]) ).
tcf(c_53314,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_276,c_29601]) ).
tcf(c_53326,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53310,c_53]) ).
tcf(c_53349,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_38613]) ).
tcf(c_53350,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| mem(sK0(iPr_def_13,X0),e)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2831,c_38613]) ).
tcf(c_53354,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_276,c_38613]) ).
tcf(c_53366,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53350,c_53]) ).
tcf(c_53386,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29907,c_52]) ).
tcf(c_53387,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,s(X0))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 )
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29907,c_38602]) ).
tcf(c_53388,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29907,c_38603]) ).
tcf(c_53414,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29908,c_52]) ).
tcf(c_53423,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29909,c_51]) ).
tcf(c_53424,plain,
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29909,c_1252]) ).
tcf(c_53437,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29910,c_51]) ).
tcf(c_53438,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29910,c_1252]) ).
tcf(c_53454,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_39105,c_51]) ).
tcf(c_53455,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_39105,c_1252]) ).
tcf(c_53473,plain,
! [X0: $i] :
( subq(iPr_def_17,p(p(e)))
| ( sK0(iPr_def_17,m(p(p(e)),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_53224]) ).
tcf(c_53485,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,s(X1))
| ( X1 = iPr_def_19 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5047,c_3744]) ).
tcf(c_53486,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| mem(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_5054,c_3744]) ).
tcf(c_53487,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3744,c_49]) ).
tcf(c_53488,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3744,c_51]) ).
tcf(c_53490,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| ( sK0(iPr_def_20,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_3744,c_55]) ).
tcf(c_53491,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_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3744,c_58]) ).
tcf(c_53492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| ~ mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3744,c_61]) ).
tcf(c_53493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3744,c_60]) ).
tcf(c_53494,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| subq(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_3744,c_63]) ).
tcf(c_53495,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3744,c_2826]) ).
tcf(c_53496,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3744,c_2825]) ).
tcf(c_53497,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3744,c_793]) ).
tcf(c_53498,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3744,c_2828]) ).
tcf(c_53499,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3744,c_936]) ).
tcf(c_53500,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3744,c_881]) ).
tcf(c_53501,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3744,c_934]) ).
tcf(c_53502,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3744,c_888]) ).
tcf(c_53503,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3744,c_795]) ).
tcf(c_53505,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3744,c_796]) ).
tcf(c_53507,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3744,c_797]) ).
tcf(c_53508,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3744,c_798]) ).
tcf(c_53509,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3744,c_940]) ).
tcf(c_53513,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3744,c_800]) ).
tcf(c_53515,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3744,c_941]) ).
tcf(c_53516,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| mem(sK0(iPr_def_20,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3744,c_1247]) ).
tcf(c_53517,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3744,c_935]) ).
tcf(c_53518,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_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3744,c_2900]) ).
tcf(c_53519,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_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3744,c_2891]) ).
tcf(c_53520,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3744,c_887]) ).
tcf(c_53528,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_19)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3744,c_1253]) ).
tcf(c_53529,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_25)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| ~ subq(iPr_def_28,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3744,c_1254]) ).
tcf(c_53782,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,s(X1))
| ( X1 = iPr_def_19 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5047,c_3759]) ).
tcf(c_53783,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| mem(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_5054,c_3759]) ).
tcf(c_53784,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3759,c_49]) ).
tcf(c_53785,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_27,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_3759,c_51]) ).
tcf(c_53787,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| ( sK0(iPr_def_20,X1) = X0 )
| ~ subq(iPr_def_27,s(X0)) ),
inference(superposition,[status(thm)],[c_3759,c_55]) ).
tcf(c_53788,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_27,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_3759,c_58]) ).
tcf(c_53789,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| ~ mem(sK0(iPr_def_20,X2),X1)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3759,c_61]) ).
tcf(c_53790,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X2)
| mem(sK0(iPr_def_20,X2),X0)
| ~ subq(iPr_def_27,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_3759,c_60]) ).
tcf(c_53791,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| subq(sK0(iPr_def_20,X1),X0)
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_3759,c_63]) ).
tcf(c_53792,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3759,c_2826]) ).
tcf(c_53793,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3759,c_2825]) ).
tcf(c_53794,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = e )
| ~ subq(iPr_def_27,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3759,c_793]) ).
tcf(c_53795,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_10 )
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3759,c_2828]) ).
tcf(c_53796,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3759,c_936]) ).
tcf(c_53797,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3759,c_881]) ).
tcf(c_53798,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3759,c_934]) ).
tcf(c_53799,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3759,c_888]) ).
tcf(c_53800,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_12 )
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3759,c_795]) ).
tcf(c_53802,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_15 )
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3759,c_796]) ).
tcf(c_53804,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_14 )
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3759,c_797]) ).
tcf(c_53805,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_18 )
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3759,c_798]) ).
tcf(c_53806,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3759,c_940]) ).
tcf(c_53810,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = iPr_def_24 )
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3759,c_800]) ).
tcf(c_53812,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_25) ),
inference(superposition,[status(thm)],[c_3759,c_941]) ).
tcf(c_53813,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| mem(sK0(iPr_def_20,X0),iPr_def_12)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3759,c_1247]) ).
tcf(c_53814,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_15)
| ~ subq(iPr_def_27,iPr_def_14) ),
inference(superposition,[status(thm)],[c_3759,c_935]) ).
tcf(c_53815,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_10)
| ~ subq(iPr_def_27,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3759,c_2900]) ).
tcf(c_53816,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_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3759,c_2891]) ).
tcf(c_53817,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3759,c_887]) ).
tcf(c_53825,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_19)
| mem(sK0(iPr_def_20,X0),iPr_def_18)
| ~ subq(iPr_def_27,iPr_def_24) ),
inference(superposition,[status(thm)],[c_3759,c_1253]) ).
tcf(c_53826,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| mem(sK0(iPr_def_20,X0),iPr_def_25)
| mem(sK0(iPr_def_20,X0),iPr_def_13)
| ~ subq(iPr_def_27,iPr_def_26) ),
inference(superposition,[status(thm)],[c_3759,c_1254]) ).
tcf(c_54116,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_18232,c_51]) ).
tcf(c_54117,plain,
( mem(iPr_def_24,iPr_def_14)
| mem(iPr_def_24,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18232,c_2900]) ).
tcf(c_54124,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,m(p(e),X0))
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_18404,c_20550]) ).
tcf(c_54125,plain,
! [X0: $i] :
( subq(iPr_def_12,m(p(e),X0))
| ~ mem(iPr_def_10,m(p(e),X0)) ),
inference(superposition,[status(thm)],[c_18404,c_49]) ).
tcf(c_54131,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_18404,c_18917]) ).
tcf(c_54132,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_18404,c_1123]) ).
tcf(c_54133,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_18404,c_3216]) ).
tcf(c_54134,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_18404,c_2956]) ).
tcf(c_54135,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_18404,c_2559]) ).
tcf(c_54136,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_18404,c_19759]) ).
tcf(c_54137,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_18404,c_2089]) ).
tcf(c_54169,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_20073,c_51]) ).
tcf(c_54170,plain,
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20073,c_1252]) ).
tcf(c_54181,plain,
( mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(global_subsumption_just,[status(thm)],[c_40587,c_1187,c_31282,c_40587]) ).
tcf(c_54188,plain,
( mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(global_subsumption_just,[status(thm)],[c_40624,c_1187,c_31282,c_40624]) ).
tcf(c_54195,plain,
( mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(global_subsumption_just,[status(thm)],[c_40661,c_1187,c_31282,c_40661]) ).
tcf(c_54209,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_29542,c_49]) ).
tcf(c_54210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_29542,c_51]) ).
tcf(c_54212,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_29542,c_55]) ).
tcf(c_54213,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X1)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_29542,c_58]) ).
tcf(c_54214,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| ~ mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29542,c_61]) ).
tcf(c_54215,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29542,c_60]) ).
tcf(c_54216,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| subq(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_29542,c_63]) ).
tcf(c_54217,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29542,c_2826]) ).
tcf(c_54218,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29542,c_2825]) ).
tcf(c_54219,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29542,c_793]) ).
tcf(c_54220,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29542,c_2828]) ).
tcf(c_54221,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29542,c_936]) ).
tcf(c_54222,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29542,c_881]) ).
tcf(c_54223,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29542,c_934]) ).
tcf(c_54224,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29542,c_888]) ).
tcf(c_54225,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_12 )
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29542,c_795]) ).
tcf(c_54226,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29542,c_886]) ).
tcf(c_54227,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29542,c_796]) ).
tcf(c_54228,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29542,c_885]) ).
tcf(c_54229,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29542,c_797]) ).
tcf(c_54230,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29542,c_798]) ).
tcf(c_54231,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29542,c_940]) ).
tcf(c_54232,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29542,c_884]) ).
tcf(c_54233,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29542,c_799]) ).
tcf(c_54234,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_29542,c_937]) ).
tcf(c_54235,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29542,c_800]) ).
tcf(c_54237,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_29542,c_941]) ).
tcf(c_54238,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_13)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29542,c_1247]) ).
tcf(c_54239,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_15)
| ~ subq(iPr_def_28,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29542,c_935]) ).
tcf(c_54240,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_14)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29542,c_2900]) ).
tcf(c_54241,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_12)
| mem(sK0(iPr_def_26,X0),iPr_def_10)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29542,c_2891]) ).
tcf(c_54242,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29542,c_887]) ).
tcf(c_54243,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_20)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29542,c_1250]) ).
tcf(c_54244,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_29542,c_938]) ).
tcf(c_54245,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_21)
| mem(sK0(iPr_def_26,X0),iPr_def_17)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29542,c_1251]) ).
tcf(c_54246,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29542,c_939]) ).
tcf(c_54247,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_28,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29542,c_1252]) ).
tcf(c_54250,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_19)
| mem(sK0(iPr_def_26,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29542,c_1253]) ).
tcf(c_54255,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| ~ subq(iPr_def_28,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_29542,c_29602]) ).
tcf(c_54524,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_30397,c_51]) ).
tcf(c_54525,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30397,c_2900]) ).
tcf(c_54541,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_30398,c_51]) ).
tcf(c_54542,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_12)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30398,c_2891]) ).
tcf(c_54543,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30398,c_887]) ).
tcf(c_54580,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_27,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_24129,c_38610]) ).
tcf(c_54581,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_23,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_27,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_24129,c_29598]) ).
tcf(c_54582,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_23,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_23,X1)) = iPr_def_24 )
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_24129,c_6475]) ).
tcf(c_54583,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| ( sK0(iPr_def_23,X1) = X0 )
| ~ subq(iPr_def_27,p(X0))
| ~ subq(X0,sK0(iPr_def_23,X1)) ),
inference(superposition,[status(thm)],[c_24129,c_52]) ).
tcf(c_54584,plain,
! [X0: $i] :
( subq(iPr_def_23,p(X0))
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_24129,c_783]) ).
tcf(c_54585,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X0)
| subq(sK0(iPr_def_23,X0),X1)
| ~ subq(iPr_def_27,p(e)) ),
inference(superposition,[status(thm)],[c_24129,c_18912]) ).
tcf(c_54586,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = e )
| ~ subq(iPr_def_27,p(e)) ),
inference(superposition,[status(thm)],[c_24129,c_1212]) ).
tcf(c_54587,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X0)
| subq(sK0(iPr_def_23,X0),p(X1))
| ~ subq(iPr_def_27,p(p(e))) ),
inference(superposition,[status(thm)],[c_24129,c_22959]) ).
tcf(c_54588,plain,
! [X0: $i] :
( subq(iPr_def_23,p(X0))
| ~ subq(iPr_def_27,p(e)) ),
inference(superposition,[status(thm)],[c_24129,c_21696]) ).
tcf(c_54655,plain,
! [X0: $i] : sK0(iPr_def_10,m(X0,s(e))) = e,
inference(superposition,[status(thm)],[c_54,c_3885]) ).
tcf(c_54656,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_3885]) ).
tcf(c_54657,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_3885]) ).
tcf(c_54658,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_3885]) ).
tcf(c_54660,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_10,m(X1,p(X0))) = e )
| ~ subq(e,X0) ),
inference(superposition,[status(thm)],[c_62,c_3885]) ).
tcf(c_54661,plain,
! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_10)) = e,
inference(superposition,[status(thm)],[c_753,c_3885]) ).
tcf(c_54662,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_21) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_23)) = e ) ),
inference(superposition,[status(thm)],[c_5860,c_3885]) ).
tcf(c_54663,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_17) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_23)) = e ) ),
inference(superposition,[status(thm)],[c_5443,c_3885]) ).
tcf(c_54664,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_22) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_23)) = e ) ),
inference(superposition,[status(thm)],[c_3912,c_3885]) ).
tcf(c_54665,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_16) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_23)) = e ) ),
inference(superposition,[status(thm)],[c_3897,c_3885]) ).
tcf(c_54666,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_22) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_28)) = e ) ),
inference(superposition,[status(thm)],[c_5876,c_3885]) ).
tcf(c_54667,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_16) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_28)) = e ) ),
inference(superposition,[status(thm)],[c_5428,c_3885]) ).
tcf(c_54668,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_23) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_28)) = e ) ),
inference(superposition,[status(thm)],[c_3913,c_3885]) ).
tcf(c_54669,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_25) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_28)) = e ) ),
inference(superposition,[status(thm)],[c_3907,c_3885]) ).
tcf(c_54670,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_22) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_27)) = e ) ),
inference(superposition,[status(thm)],[c_5877,c_3885]) ).
tcf(c_54671,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_25) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_27)) = e ) ),
inference(superposition,[status(thm)],[c_5844,c_3885]) ).
tcf(c_54672,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_16) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_27)) = e ) ),
inference(superposition,[status(thm)],[c_5429,c_3885]) ).
tcf(c_54673,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_13) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_27)) = e ) ),
inference(superposition,[status(thm)],[c_5402,c_3885]) ).
tcf(c_54674,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_26) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_27)) = e ) ),
inference(superposition,[status(thm)],[c_3915,c_3885]) ).
tcf(c_54675,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_23) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_27)) = e ) ),
inference(superposition,[status(thm)],[c_3914,c_3885]) ).
tcf(c_54676,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_25) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_26)) = e ) ),
inference(superposition,[status(thm)],[c_3908,c_3885]) ).
tcf(c_54677,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_13) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_26)) = e ) ),
inference(superposition,[status(thm)],[c_3895,c_3885]) ).
tcf(c_54678,plain,
! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_18)) = e,
inference(superposition,[status(thm)],[c_1395,c_3885]) ).
tcf(c_54679,plain,
! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_24)) = e,
inference(superposition,[status(thm)],[c_1402,c_3885]) ).
tcf(c_54680,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_20) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_22)) = e ) ),
inference(superposition,[status(thm)],[c_5819,c_3885]) ).
tcf(c_54681,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_19) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_22)) = e ) ),
inference(superposition,[status(thm)],[c_5753,c_3885]) ).
tcf(c_54682,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_21) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_22)) = e ) ),
inference(superposition,[status(thm)],[c_3911,c_3885]) ).
tcf(c_54683,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_17) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_22)) = e ) ),
inference(superposition,[status(thm)],[c_3899,c_3885]) ).
tcf(c_54684,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_20) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_21)) = e ) ),
inference(superposition,[status(thm)],[c_3905,c_3885]) ).
tcf(c_54685,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_19) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_21)) = e ) ),
inference(superposition,[status(thm)],[c_3903,c_3885]) ).
tcf(c_54686,plain,
! [X0: $i] : sK0(iPr_def_10,m(X0,iPr_def_15)) = e,
inference(superposition,[status(thm)],[c_1396,c_3885]) ).
tcf(c_54687,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_13) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_14)) = e ) ),
inference(superposition,[status(thm)],[c_3894,c_3885]) ).
tcf(c_54688,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_3886,c_3885]) ).
tcf(c_54689,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_10,X1) = e )
| ( sK0(iPr_def_10,m(X0,X1)) = e ) ),
inference(superposition,[status(thm)],[c_1791,c_3885]) ).
tcf(c_54691,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_10,m(X0,p(X1))) = e,
inference(forward_subsumption_resolution,[status(thm)],[c_54660,c_763]) ).
tcf(c_55087,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(e,X2)
| subq(iPr_def_10,m(X0,p(X1)))
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_54691,c_20550]) ).
tcf(c_55088,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,m(X0,p(X1)))
| ~ mem(e,m(X0,p(X1))) ),
inference(superposition,[status(thm)],[c_54691,c_49]) ).
tcf(c_55094,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_54691,c_1123]) ).
tcf(c_55095,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,p(X2)))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_54691,c_3180]) ).
tcf(c_55096,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,p(X2)))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_54691,c_3168]) ).
tcf(c_55097,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,p(X2)))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_54691,c_2992]) ).
tcf(c_55117,plain,
! [X0: $i] : sK0(iPr_def_12,m(X0,s(iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_54,c_4079]) ).
tcf(c_55118,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_4079]) ).
tcf(c_55119,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_4079]) ).
tcf(c_55120,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_4079]) ).
tcf(c_55122,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_4079]) ).
tcf(c_55123,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_4080,c_4079]) ).
tcf(c_55124,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_4068,c_4079]) ).
tcf(c_55125,plain,
! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_24)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2820,c_4079]) ).
tcf(c_55126,plain,
! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_18)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2821,c_4079]) ).
tcf(c_55127,plain,
! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_15)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2822,c_4079]) ).
tcf(c_55128,plain,
! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_14)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2827,c_4079]) ).
tcf(c_55129,plain,
! [X0: $i] : sK0(iPr_def_12,m(X0,iPr_def_12)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2832,c_4079]) ).
tcf(c_55130,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_26)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4102,c_4079]) ).
tcf(c_55131,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_26)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4089,c_4079]) ).
tcf(c_55132,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_23)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6925,c_4079]) ).
tcf(c_55133,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_23)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5968,c_4079]) ).
tcf(c_55134,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_23)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4106,c_4079]) ).
tcf(c_55135,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_23)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4091,c_4079]) ).
tcf(c_55136,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_22)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6411,c_4079]) ).
tcf(c_55137,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_22)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6395,c_4079]) ).
tcf(c_55138,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_21) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_22)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4105,c_4079]) ).
tcf(c_55139,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_17) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_22)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4093,c_4079]) ).
tcf(c_55140,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_20) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_21)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4099,c_4079]) ).
tcf(c_55141,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_19) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_21)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4097,c_4079]) ).
tcf(c_55142,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_28)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6944,c_4079]) ).
tcf(c_55143,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_28)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5945,c_4079]) ).
tcf(c_55144,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_28)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4107,c_4079]) ).
tcf(c_55145,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_28)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4101,c_4079]) ).
tcf(c_55146,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_22) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_27)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6945,c_4079]) ).
tcf(c_55147,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_25) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_27)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_6896,c_4079]) ).
tcf(c_55148,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_16) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_27)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5946,c_4079]) ).
tcf(c_55149,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_13) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_27)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5925,c_4079]) ).
tcf(c_55150,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_26) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_27)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4109,c_4079]) ).
tcf(c_55151,plain,
! [X0: $i] :
( ( sK0(iPr_def_12,iPr_def_23) = iPr_def_10 )
| ( sK0(iPr_def_12,m(X0,iPr_def_27)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4108,c_4079]) ).
tcf(c_55508,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(iPr_def_10,m(X0,iPr_def_10))
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_54661,c_20550]) ).
tcf(c_55509,plain,
! [X0: $i] :
( subq(iPr_def_10,m(X0,iPr_def_10))
| ~ mem(e,m(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_54661,c_49]) ).
tcf(c_55515,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_54661,c_1123]) ).
tcf(c_55516,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_10))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_54661,c_3180]) ).
tcf(c_55517,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_10))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_54661,c_3168]) ).
tcf(c_55518,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_10))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_54661,c_2992]) ).
tcf(c_55535,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(iPr_def_10,m(X0,iPr_def_18))
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_54678,c_20550]) ).
tcf(c_55536,plain,
! [X0: $i] :
( subq(iPr_def_10,m(X0,iPr_def_18))
| ~ mem(e,m(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_54678,c_49]) ).
tcf(c_55542,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_18))
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_54678,c_1123]) ).
tcf(c_55543,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_18))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_54678,c_3180]) ).
tcf(c_55544,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_18))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_54678,c_3168]) ).
tcf(c_55545,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_18))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_54678,c_2992]) ).
tcf(c_55562,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(iPr_def_10,m(X0,iPr_def_24))
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_54679,c_20550]) ).
tcf(c_55563,plain,
! [X0: $i] :
( subq(iPr_def_10,m(X0,iPr_def_24))
| ~ mem(e,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_54679,c_49]) ).
tcf(c_55569,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_24))
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_54679,c_1123]) ).
tcf(c_55570,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_24))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_54679,c_3180]) ).
tcf(c_55571,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_24))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_54679,c_3168]) ).
tcf(c_55572,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_24))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_54679,c_2992]) ).
tcf(c_55589,plain,
! [X0: $i,X1: $i] :
( subq(e,X1)
| subq(iPr_def_10,m(X0,iPr_def_15))
| ~ subq(iPr_def_10,p(e)) ),
inference(superposition,[status(thm)],[c_54686,c_20550]) ).
tcf(c_55590,plain,
! [X0: $i] :
( subq(iPr_def_10,m(X0,iPr_def_15))
| ~ mem(e,m(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_54686,c_49]) ).
tcf(c_55596,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_15))
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_54686,c_1123]) ).
tcf(c_55597,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_15))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_54686,c_3180]) ).
tcf(c_55598,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_15))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_54686,c_3168]) ).
tcf(c_55599,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| subq(iPr_def_10,m(X1,iPr_def_15))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_54686,c_2992]) ).
tcf(c_55621,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_30401,c_51]) ).
tcf(c_55622,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_12)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30401,c_2891]) ).
tcf(c_55623,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30401,c_887]) ).
tcf(c_55642,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_30402,c_51]) ).
tcf(c_55643,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_13)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30402,c_1247]) ).
tcf(c_55644,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30402,c_935]) ).
tcf(c_55664,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_30403,c_51]) ).
tcf(c_55665,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_13)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_30403,c_1247]) ).
tcf(c_55666,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_30403,c_935]) ).
tcf(c_55686,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_30408,c_51]) ).
tcf(c_55687,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_30408,c_1251]) ).
tcf(c_55704,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_30411,c_51]) ).
tcf(c_55705,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_19)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_30411,c_1253]) ).
tcf(c_55721,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_30412,c_51]) ).
tcf(c_55722,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_20)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_30412,c_1250]) ).
tcf(c_55723,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_30412,c_938]) ).
tcf(c_55743,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_20)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_30414,c_51]) ).
tcf(c_55744,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_20)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_30414,c_1250]) ).
tcf(c_55745,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_30414,c_938]) ).
tcf(c_55765,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_23,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_28,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_24435,c_38610]) ).
tcf(c_55766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_23,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_28,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_24435,c_29598]) ).
tcf(c_55767,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_23,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_23,X1)) = iPr_def_24 )
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_24435,c_6475]) ).
tcf(c_55768,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X1)
| ( sK0(iPr_def_23,X1) = X0 )
| ~ subq(iPr_def_28,p(X0))
| ~ subq(X0,sK0(iPr_def_23,X1)) ),
inference(superposition,[status(thm)],[c_24435,c_52]) ).
tcf(c_55769,plain,
! [X0: $i] :
( subq(iPr_def_23,p(X0))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_24435,c_783]) ).
tcf(c_55770,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X0)
| subq(sK0(iPr_def_23,X0),X1)
| ~ subq(iPr_def_28,p(e)) ),
inference(superposition,[status(thm)],[c_24435,c_18912]) ).
tcf(c_55771,plain,
! [X0: $i] :
( subq(iPr_def_23,X0)
| ( sK0(iPr_def_23,X0) = e )
| ~ subq(iPr_def_28,p(e)) ),
inference(superposition,[status(thm)],[c_24435,c_1212]) ).
tcf(c_55772,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X0)
| subq(sK0(iPr_def_23,X0),p(X1))
| ~ subq(iPr_def_28,p(p(e))) ),
inference(superposition,[status(thm)],[c_24435,c_22959]) ).
tcf(c_55773,plain,
! [X0: $i] :
( subq(iPr_def_23,p(X0))
| ~ subq(iPr_def_28,p(e)) ),
inference(superposition,[status(thm)],[c_24435,c_21696]) ).
tcf(c_55819,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_3886,c_55509]) ).
tcf(c_55821,plain,
( subq(iPr_def_10,m(e,iPr_def_10))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_18771,c_55509]) ).
tcf(c_55830,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,m(X0,iPr_def_18))
| ( sK0(iPr_def_10,m(m(X0,iPr_def_18),X1)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_55536]) ).
tcf(c_55832,plain,
( subq(iPr_def_10,m(e,iPr_def_18))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_18771,c_55536]) ).
tcf(c_55841,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,m(X0,iPr_def_24))
| ( sK0(iPr_def_10,m(m(X0,iPr_def_24),X1)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_55563]) ).
tcf(c_55843,plain,
( subq(iPr_def_10,m(e,iPr_def_24))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_18771,c_55563]) ).
tcf(c_55852,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,m(X0,iPr_def_15))
| ( sK0(iPr_def_10,m(m(X0,iPr_def_15),X1)) = e ) ),
inference(superposition,[status(thm)],[c_3886,c_55590]) ).
tcf(c_55854,plain,
( subq(iPr_def_10,m(e,iPr_def_15))
| ~ mem(e,e) ),
inference(superposition,[status(thm)],[c_18771,c_55590]) ).
tcf(c_55859,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,m(X0,iPr_def_24))
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_55125,c_20550]) ).
tcf(c_55860,plain,
! [X0: $i] :
( subq(iPr_def_12,m(X0,iPr_def_24))
| ~ mem(iPr_def_10,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_55125,c_49]) ).
tcf(c_55866,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_55125,c_18917]) ).
tcf(c_55867,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_55125,c_1123]) ).
tcf(c_55868,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_55125,c_3216]) ).
tcf(c_55869,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_55125,c_2956]) ).
tcf(c_55870,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_55125,c_2559]) ).
tcf(c_55871,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_55125,c_19759]) ).
tcf(c_55872,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_55125,c_2089]) ).
tcf(c_55901,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,m(X0,iPr_def_18))
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_55126,c_20550]) ).
tcf(c_55902,plain,
! [X0: $i] :
( subq(iPr_def_12,m(X0,iPr_def_18))
| ~ mem(iPr_def_10,m(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_55126,c_49]) ).
tcf(c_55908,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_55126,c_18917]) ).
tcf(c_55909,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_55126,c_1123]) ).
tcf(c_55910,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_55126,c_3216]) ).
tcf(c_55911,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_55126,c_2956]) ).
tcf(c_55912,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_55126,c_2559]) ).
tcf(c_55913,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_55126,c_19759]) ).
tcf(c_55914,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_55126,c_2089]) ).
tcf(c_55943,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,m(X0,iPr_def_15))
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_55127,c_20550]) ).
tcf(c_55944,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_55127,c_49]) ).
tcf(c_55950,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_55127,c_18917]) ).
tcf(c_55951,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_55127,c_1123]) ).
tcf(c_55952,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_55127,c_3216]) ).
tcf(c_55953,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_55127,c_2956]) ).
tcf(c_55954,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_55127,c_2559]) ).
tcf(c_55955,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_55127,c_19759]) ).
tcf(c_55956,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_55127,c_2089]) ).
tcf(c_55985,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,m(X0,iPr_def_14))
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_55128,c_20550]) ).
tcf(c_55986,plain,
! [X0: $i] :
( subq(iPr_def_12,m(X0,iPr_def_14))
| ~ mem(iPr_def_10,m(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_55128,c_49]) ).
tcf(c_55992,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_55128,c_18917]) ).
tcf(c_55993,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_55128,c_1123]) ).
tcf(c_55994,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_55128,c_3216]) ).
tcf(c_55995,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_55128,c_2956]) ).
tcf(c_55996,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_55128,c_2559]) ).
tcf(c_55997,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_55128,c_19759]) ).
tcf(c_55998,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_55128,c_2089]) ).
tcf(c_56045,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_30419,c_51]) ).
tcf(c_56046,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_30419,c_2900]) ).
tcf(c_56127,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_30422,c_51]) ).
tcf(c_56128,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_19)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_30422,c_1253]) ).
tcf(c_56144,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_30424,c_51]) ).
tcf(c_56145,plain,
( subq(iPr_def_26,iPr_def_25)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_25),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_30424,c_1251]) ).
tcf(c_56164,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_30615,c_51]) ).
tcf(c_56165,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30615,c_2900]) ).
tcf(c_56166,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_30615,c_29602]) ).
tcf(c_56186,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_30616,c_51]) ).
tcf(c_56187,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_12)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30616,c_2891]) ).
tcf(c_56188,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_30616,c_887]) ).
tcf(c_56189,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10)
| ~ subq(iPr_def_25,m(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_30616,c_29602]) ).
tcf(c_56212,plain,
! [X0: $i] :
( subq(iPr_def_13,e)
| subq(iPr_def_12,X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_4207,c_24898]) ).
tcf(c_56213,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_4208,c_24898]) ).
tcf(c_56214,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| subq(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_4215,c_24898]) ).
tcf(c_56215,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_14,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_24898,c_38610]) ).
tcf(c_56216,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_13,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_14,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_24898,c_29598]) ).
tcf(c_56217,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_13,X1)) = iPr_def_24 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_24898,c_6475]) ).
tcf(c_56218,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_14,p(X0))
| ~ subq(X0,sK0(iPr_def_13,X1)) ),
inference(superposition,[status(thm)],[c_24898,c_52]) ).
tcf(c_56219,plain,
! [X0: $i] :
( subq(iPr_def_13,p(X0))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_24898,c_783]) ).
tcf(c_56222,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| subq(sK0(iPr_def_13,X0),p(X1))
| ~ subq(iPr_def_14,p(p(e))) ),
inference(superposition,[status(thm)],[c_24898,c_22959]) ).
tcf(c_56267,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,m(X0,iPr_def_24))
| ( sK0(iPr_def_12,m(m(X0,iPr_def_24),X1)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_55860]) ).
tcf(c_56269,plain,
( subq(iPr_def_12,m(e,iPr_def_24))
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_18771,c_55860]) ).
tcf(c_56278,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,m(X0,iPr_def_18))
| ( sK0(iPr_def_12,m(m(X0,iPr_def_18),X1)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_55902]) ).
tcf(c_56280,plain,
( subq(iPr_def_12,m(e,iPr_def_18))
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_18771,c_55902]) ).
tcf(c_56289,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_4080,c_55944]) ).
tcf(c_56291,plain,
( subq(iPr_def_12,m(e,iPr_def_15))
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_18771,c_55944]) ).
tcf(c_56300,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,m(X0,iPr_def_14))
| ( sK0(iPr_def_12,m(m(X0,iPr_def_14),X1)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_55986]) ).
tcf(c_56302,plain,
( subq(iPr_def_12,m(e,iPr_def_14))
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_18771,c_55986]) ).
tcf(c_56307,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| subq(iPr_def_12,m(X0,iPr_def_12))
| ~ subq(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_55129,c_20550]) ).
tcf(c_56308,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_55129,c_49]) ).
tcf(c_56314,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_12,p(X0)) ),
inference(superposition,[status(thm)],[c_55129,c_18917]) ).
tcf(c_56315,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_55129,c_1123]) ).
tcf(c_56316,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_55129,c_3216]) ).
tcf(c_56317,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_55129,c_2956]) ).
tcf(c_56318,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_55129,c_2559]) ).
tcf(c_56319,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_55129,c_19759]) ).
tcf(c_56320,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_55129,c_2089]) ).
tcf(c_56580,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_20985,c_51]) ).
tcf(c_56581,plain,
( mem(iPr_def_24,iPr_def_21)
| mem(iPr_def_24,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20985,c_1251]) ).
tcf(c_56582,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20985,c_939]) ).
tcf(c_56595,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_21001,c_51]) ).
tcf(c_56596,plain,
( mem(iPr_def_24,iPr_def_21)
| mem(iPr_def_24,iPr_def_17)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21001,c_1251]) ).
tcf(c_56597,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21001,c_939]) ).
tcf(c_56610,plain,
! [X0: $i] :
( mem(iPr_def_24,X0)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_24756,c_51]) ).
tcf(c_56611,plain,
( mem(iPr_def_24,iPr_def_22)
| mem(iPr_def_24,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24756,c_1252]) ).
tcf(c_56626,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_30619,c_51]) ).
tcf(c_56627,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_12)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30619,c_2891]) ).
tcf(c_56628,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30619,c_887]) ).
tcf(c_56629,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_30619,c_29602]) ).
tcf(c_56652,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_30620,c_51]) ).
tcf(c_56653,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_13)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30620,c_1247]) ).
tcf(c_56654,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_30620,c_935]) ).
tcf(c_56655,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_25,m(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_30620,c_29602]) ).
tcf(c_56740,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_30621,c_51]) ).
tcf(c_56741,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_13)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_30621,c_1247]) ).
tcf(c_56742,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_30621,c_935]) ).
tcf(c_56743,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_25,m(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_30621,c_29602]) ).
tcf(c_56771,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_30629,c_51]) ).
tcf(c_56772,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_19)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_30629,c_1253]) ).
tcf(c_56773,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_30629,c_29602]) ).
tcf(c_56793,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_30630,c_51]) ).
tcf(c_56794,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_20)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_30630,c_1250]) ).
tcf(c_56795,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_30630,c_938]) ).
tcf(c_56796,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_30630,c_29602]) ).
tcf(c_56820,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_30632,c_51]) ).
tcf(c_56821,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_20)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_30632,c_1250]) ).
tcf(c_56822,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_30632,c_938]) ).
tcf(c_56823,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_25,m(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_30632,c_29602]) ).
tcf(c_56847,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_15,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_25507,c_38610]) ).
tcf(c_56848,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_14,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_15,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_25507,c_29598]) ).
tcf(c_56849,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_14,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_14,X1)) = iPr_def_24 )
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_25507,c_6475]) ).
tcf(c_56850,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| ( sK0(iPr_def_14,X1) = X0 )
| ~ subq(iPr_def_15,p(X0))
| ~ subq(X0,sK0(iPr_def_14,X1)) ),
inference(superposition,[status(thm)],[c_25507,c_52]) ).
tcf(c_56851,plain,
! [X0: $i] :
( subq(iPr_def_14,p(X0))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_25507,c_783]) ).
tcf(c_56852,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(sK0(iPr_def_14,X0),X1)
| ~ subq(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_25507,c_18912]) ).
tcf(c_56853,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_14,X0) = e )
| ~ subq(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_25507,c_1212]) ).
tcf(c_56854,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(sK0(iPr_def_14,X0),p(X1))
| ~ subq(iPr_def_15,p(p(e))) ),
inference(superposition,[status(thm)],[c_25507,c_22959]) ).
tcf(c_56855,plain,
! [X0: $i] :
( subq(iPr_def_14,p(X0))
| ~ subq(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_25507,c_21696]) ).
tcf(c_56901,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,m(X0,iPr_def_12))
| ( sK0(iPr_def_12,m(m(X0,iPr_def_12),X1)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_4080,c_56308]) ).
tcf(c_56903,plain,
( subq(iPr_def_12,m(e,iPr_def_12))
| ~ mem(iPr_def_10,e) ),
inference(superposition,[status(thm)],[c_18771,c_56308]) ).
tcf(c_56911,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,s(iPr_def_12))) = iPr_def_12,
inference(superposition,[status(thm)],[c_54,c_4210]) ).
tcf(c_56912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X1,u(X0,X2))) = iPr_def_12 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_56,c_4210]) ).
tcf(c_56913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X1,u(X2,X0))) = iPr_def_12 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_57,c_4210]) ).
tcf(c_56914,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X2)
| ( sK0(iPr_def_13,m(X1,m(X0,X2))) = iPr_def_12 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_59,c_4210]) ).
tcf(c_56915,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_13,m(X0,p(X1))) = iPr_def_12 )
| ~ subq(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_21676,c_4210]) ).
tcf(c_56916,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_13,m(X1,p(X0))) = iPr_def_12 )
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_62,c_4210]) ).
tcf(c_56917,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,iPr_def_13)) = iPr_def_12,
inference(superposition,[status(thm)],[c_755,c_4210]) ).
tcf(c_56918,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,iPr_def_26)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1094,c_4210]) ).
tcf(c_56919,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,X2)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8370,c_4210]) ).
tcf(c_56920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(X3,X0)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_4210]) ).
tcf(c_56921,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11007,c_4210]) ).
tcf(c_56922,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11006,c_4210]) ).
tcf(c_56923,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11004,c_4210]) ).
tcf(c_56924,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10992,c_4210]) ).
tcf(c_56925,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10972,c_4210]) ).
tcf(c_56926,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10957,c_4210]) ).
tcf(c_56927,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10946,c_4210]) ).
tcf(c_56928,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10926,c_4210]) ).
tcf(c_56929,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(X1,e)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10911,c_4210]) ).
tcf(c_56930,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X1,X2)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6478,c_4210]) ).
tcf(c_56931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X2,X0)) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_4210]) ).
tcf(c_56932,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6472,c_4210]) ).
tcf(c_56933,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,X2)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6480,c_4210]) ).
tcf(c_56934,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6428,c_4210]) ).
tcf(c_56935,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_13,X1) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_1898,c_4210]) ).
tcf(c_56936,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,iPr_def_14)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1446,c_4210]) ).
tcf(c_56937,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,iPr_def_15)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1523,c_4210]) ).
tcf(c_56938,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,iPr_def_27)) = iPr_def_12,
inference(superposition,[status(thm)],[c_1675,c_4210]) ).
tcf(c_56939,plain,
! [X0: $i] : sK0(iPr_def_13,m(X0,iPr_def_28)) = iPr_def_12,
inference(superposition,[status(thm)],[c_2044,c_4210]) ).
tcf(c_56940,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X2)
| ( sK0(iPr_def_25,u(X2,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6478,c_4210]) ).
tcf(c_56941,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_18)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4217,c_4210]) ).
tcf(c_56942,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_18)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4214,c_4210]) ).
tcf(c_56943,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_39105,c_4210]) ).
tcf(c_56944,plain,
! [X0: $i] :
( ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29910,c_4210]) ).
tcf(c_56945,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10168,c_4210]) ).
tcf(c_56946,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9601,c_4210]) ).
tcf(c_56947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26896,c_4210]) ).
tcf(c_56948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26797,c_4210]) ).
tcf(c_56949,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_24,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8413,c_4210]) ).
tcf(c_56950,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,m(iPr_def_18,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8404,c_4210]) ).
tcf(c_56951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X3,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21944,c_4210]) ).
tcf(c_56952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22038,c_4210]) ).
tcf(c_56953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21949,c_4210]) ).
tcf(c_56954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X3,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_4210]) ).
tcf(c_56955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(s(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8375,c_4210]) ).
tcf(c_56956,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_12 = iPr_def_19 )
| ( sK0(iPr_def_25,m(iPr_def_20,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8396,c_4210]) ).
tcf(c_56957,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8393,c_4210]) ).
tcf(c_56958,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_12,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8383,c_4210]) ).
tcf(c_56959,plain,
! [X0: $i,X1: $i] :
( ( e = iPr_def_12 )
| ( sK0(iPr_def_25,m(iPr_def_10,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8382,c_4210]) ).
tcf(c_56960,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,u(e,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14397,c_4210]) ).
tcf(c_56961,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,u(e,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14143,c_4210]) ).
tcf(c_56962,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,u(e,e)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13847,c_4210]) ).
tcf(c_56963,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,u(X0,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_4210]) ).
tcf(c_56964,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11006,c_4210]) ).
tcf(c_56965,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11004,c_4210]) ).
tcf(c_56966,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10992,c_4210]) ).
tcf(c_56967,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10972,c_4210]) ).
tcf(c_56968,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(e,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10957,c_4210]) ).
tcf(c_56969,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X1,iPr_def_22)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10946,c_4210]) ).
tcf(c_56970,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X1,iPr_def_16)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10926,c_4210]) ).
tcf(c_56971,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(X1,e)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10911,c_4210]) ).
tcf(c_56972,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(iPr_def_21,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13789,c_4210]) ).
tcf(c_56973,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_20,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8397,c_4210]) ).
tcf(c_56974,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_21)
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8395,c_4210]) ).
tcf(c_56975,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(iPr_def_17,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13437,c_4210]) ).
tcf(c_56976,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_12,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8384,c_4210]) ).
tcf(c_56977,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,m(iPr_def_10,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8381,c_4210]) ).
tcf(c_56978,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_27)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8791,c_4210]) ).
tcf(c_56979,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_15)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8790,c_4210]) ).
tcf(c_56980,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_14)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8789,c_4210]) ).
tcf(c_56981,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_26)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8784,c_4210]) ).
tcf(c_56982,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_13)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8783,c_4210]) ).
tcf(c_56983,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(iPr_def_23,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8418,c_4210]) ).
tcf(c_56984,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(iPr_def_22,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8409,c_4210]) ).
tcf(c_56985,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(iPr_def_16,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8389,c_4210]) ).
tcf(c_56986,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10341,c_4210]) ).
tcf(c_56987,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10338,c_4210]) ).
tcf(c_56988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8787,c_4210]) ).
tcf(c_56989,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,u(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_4210]) ).
tcf(c_56990,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6515,c_4210]) ).
tcf(c_56991,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6506,c_4210]) ).
tcf(c_56992,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_22) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4237,c_4210]) ).
tcf(c_56993,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8818,c_4210]) ).
tcf(c_56994,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8792,c_4210]) ).
tcf(c_56995,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_4210]) ).
tcf(c_56996,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6477,c_4210]) ).
tcf(c_56997,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_16) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4222,c_4210]) ).
tcf(c_56998,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6485,c_4210]) ).
tcf(c_56999,plain,
! [X0: $i] :
( ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6484,c_4210]) ).
tcf(c_57000,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7130,c_4210]) ).
tcf(c_57001,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7018,c_4210]) ).
tcf(c_57002,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6486,c_4210]) ).
tcf(c_57003,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6483,c_4210]) ).
tcf(c_57004,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6520,c_4210]) ).
tcf(c_57005,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6511,c_4210]) ).
tcf(c_57006,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6491,c_4210]) ).
tcf(c_57007,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6428,c_4210]) ).
tcf(c_57008,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6315,c_4210]) ).
tcf(c_57009,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10085,c_4210]) ).
tcf(c_57010,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9652,c_4210]) ).
tcf(c_57011,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_22)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27590,c_4210]) ).
tcf(c_57012,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_22)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27560,c_4210]) ).
tcf(c_57013,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_22)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22827,c_4210]) ).
tcf(c_57014,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_22)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22794,c_4210]) ).
tcf(c_57015,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X2,iPr_def_22)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_4210]) ).
tcf(c_57016,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( X1 = iPr_def_12 )
| ( sK0(iPr_def_25,s(X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8350,c_4210]) ).
tcf(c_57017,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7891,c_4210]) ).
tcf(c_57018,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7861,c_4210]) ).
tcf(c_57019,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6990,c_4210]) ).
tcf(c_57020,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6971,c_4210]) ).
tcf(c_57021,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6729,c_4210]) ).
tcf(c_57022,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6714,c_4210]) ).
tcf(c_57023,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6699,c_4210]) ).
tcf(c_57024,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_21) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4236,c_4210]) ).
tcf(c_57025,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9027,c_4210]) ).
tcf(c_57026,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_17) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4224,c_4210]) ).
tcf(c_57027,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8995,c_4210]) ).
tcf(c_57028,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6472,c_4210]) ).
tcf(c_57029,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_22)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6379,c_4210]) ).
tcf(c_57030,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_12) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8295,c_4210]) ).
tcf(c_57031,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_10) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8263,c_4210]) ).
tcf(c_57032,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8655,c_4210]) ).
tcf(c_57033,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_18,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8405,c_4210]) ).
tcf(c_57034,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(iPr_def_19,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_8394,c_4210]) ).
tcf(c_57035,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10332,c_4210]) ).
tcf(c_57036,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10325,c_4210]) ).
tcf(c_57037,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_18) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4235,c_4210]) ).
tcf(c_57038,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4227,c_4210]) ).
tcf(c_57039,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_24)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6507,c_4210]) ).
tcf(c_57040,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_21)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27635,c_4210]) ).
tcf(c_57041,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_21)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23730,c_4210]) ).
tcf(c_57042,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_21)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_22901,c_4210]) ).
tcf(c_57043,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_25)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_21)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9706,c_4210]) ).
tcf(c_57044,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_20) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_21)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4230,c_4210]) ).
tcf(c_57045,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_21)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9049,c_4210]) ).
tcf(c_57046,plain,
! [X0: $i] :
( ( sK0(iPr_def_13,iPr_def_19) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_21)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4228,c_4210]) ).
tcf(c_57047,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_21)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6442,c_4210]) ).
tcf(c_57048,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_20)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23791,c_4210]) ).
tcf(c_57049,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_20)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7816,c_4210]) ).
tcf(c_57050,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(X1,iPr_def_28)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_20)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9747,c_4210]) ).
tcf(c_57051,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(X0,iPr_def_25)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6142,c_4210]) ).
tcf(c_57052,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(p(e),X2)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,p(X1))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_23678,c_4210]) ).
tcf(c_57778,plain,
! [X0: $i] : sK0(iPr_def_16,m(X0,s(iPr_def_15))) = iPr_def_15,
inference(superposition,[status(thm)],[c_54,c_4361]) ).
tcf(c_57779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_16,m(X1,u(X0,X2))) = iPr_def_15 )
| ~ mem(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56,c_4361]) ).
tcf(c_57780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_16,m(X1,u(X2,X0))) = iPr_def_15 )
| ~ mem(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_57,c_4361]) ).
tcf(c_57781,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_15,X2)
| ( sK0(iPr_def_16,m(X1,m(X0,X2))) = iPr_def_15 )
| ~ mem(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_59,c_4361]) ).
tcf(c_57783,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_16,m(X1,p(X0))) = iPr_def_15 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_62,c_4361]) ).
tcf(c_57784,plain,
! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_16)) = iPr_def_15,
inference(superposition,[status(thm)],[c_756,c_4361]) ).
tcf(c_57785,plain,
! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_23)) = iPr_def_15,
inference(superposition,[status(thm)],[c_1077,c_4361]) ).
tcf(c_57786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_16,m(X2,X0)) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_4361]) ).
tcf(c_57787,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_16,X1) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1992,c_4361]) ).
tcf(c_57788,plain,
! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_27)) = iPr_def_15,
inference(superposition,[status(thm)],[c_1346,c_4361]) ).
tcf(c_57789,plain,
! [X0: $i] : sK0(iPr_def_16,m(X0,iPr_def_28)) = iPr_def_15,
inference(superposition,[status(thm)],[c_1359,c_4361]) ).
tcf(c_57790,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12422,c_4361]) ).
tcf(c_57791,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10882,c_4361]) ).
tcf(c_57792,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_14) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4385,c_4361]) ).
tcf(c_57793,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4364,c_4361]) ).
tcf(c_57794,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_18)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4368,c_4361]) ).
tcf(c_57795,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_18)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4365,c_4361]) ).
tcf(c_57796,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_14)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4370,c_4361]) ).
tcf(c_57797,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_14)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4369,c_4361]) ).
tcf(c_57798,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_25) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_26)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4384,c_4361]) ).
tcf(c_57799,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_13) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_26)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4371,c_4361]) ).
tcf(c_57800,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_22)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12638,c_4361]) ).
tcf(c_57801,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_22)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12622,c_4361]) ).
tcf(c_57802,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_21) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_22)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4387,c_4361]) ).
tcf(c_57803,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_17) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_22)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4375,c_4361]) ).
tcf(c_57804,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_12) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10866,c_4361]) ).
tcf(c_57805,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_10) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10837,c_4361]) ).
tcf(c_57806,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_18) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4386,c_4361]) ).
tcf(c_57807,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4378,c_4361]) ).
tcf(c_57808,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_20) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_21)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4381,c_4361]) ).
tcf(c_57809,plain,
! [X0: $i] :
( ( sK0(iPr_def_16,iPr_def_19) = iPr_def_15 )
| ( sK0(iPr_def_16,m(X0,iPr_def_21)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4379,c_4361]) ).
tcf(c_57965,plain,
! [X0: $i] : sK0(iPr_def_17,m(X0,s(iPr_def_14))) = iPr_def_14,
inference(superposition,[status(thm)],[c_54,c_4557]) ).
tcf(c_57966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_17,m(X1,u(X0,X2))) = iPr_def_14 )
| ~ mem(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56,c_4557]) ).
tcf(c_57967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_17,m(X1,u(X2,X0))) = iPr_def_14 )
| ~ mem(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_57,c_4557]) ).
tcf(c_57968,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_14,X2)
| ( sK0(iPr_def_17,m(X1,m(X0,X2))) = iPr_def_14 )
| ~ mem(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_59,c_4557]) ).
tcf(c_57969,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_17,m(X0,p(X1))) = iPr_def_14 )
| ~ subq(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_21676,c_4557]) ).
tcf(c_57970,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_17,m(X1,p(X0))) = iPr_def_14 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_62,c_4557]) ).
tcf(c_57971,plain,
! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_17)) = iPr_def_14,
inference(superposition,[status(thm)],[c_757,c_4557]) ).
tcf(c_57972,plain,
! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_22)) = iPr_def_14,
inference(superposition,[status(thm)],[c_1068,c_4557]) ).
tcf(c_57973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_17,m(X2,X0)) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_4557]) ).
tcf(c_57974,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_17,X1) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2107,c_4557]) ).
tcf(c_57975,plain,
! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_23)) = iPr_def_14,
inference(superposition,[status(thm)],[c_1574,c_4557]) ).
tcf(c_57976,plain,
! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_28)) = iPr_def_14,
inference(superposition,[status(thm)],[c_1584,c_4557]) ).
tcf(c_57977,plain,
! [X0: $i] : sK0(iPr_def_17,m(X0,iPr_def_27)) = iPr_def_14,
inference(superposition,[status(thm)],[c_1585,c_4557]) ).
tcf(c_57978,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13326,c_4557]) ).
tcf(c_57979,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13296,c_4557]) ).
tcf(c_57980,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_14) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4581,c_4557]) ).
tcf(c_57981,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4560,c_4557]) ).
tcf(c_57982,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_18)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4564,c_4557]) ).
tcf(c_57983,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_18)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4561,c_4557]) ).
tcf(c_57984,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4566,c_4557]) ).
tcf(c_57985,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4565,c_4557]) ).
tcf(c_57986,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_25) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4580,c_4557]) ).
tcf(c_57987,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_13) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4567,c_4557]) ).
tcf(c_57988,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_12) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_24)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13276,c_4557]) ).
tcf(c_57989,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_10) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_24)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13260,c_4557]) ).
tcf(c_57990,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_18) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_24)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4582,c_4557]) ).
tcf(c_57991,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_24)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4574,c_4557]) ).
tcf(c_57992,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_20) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_21)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4577,c_4557]) ).
tcf(c_57993,plain,
! [X0: $i] :
( ( sK0(iPr_def_17,iPr_def_19) = iPr_def_14 )
| ( sK0(iPr_def_17,m(X0,iPr_def_21)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4575,c_4557]) ).
tcf(c_58239,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_56917,c_20550]) ).
tcf(c_58240,plain,
! [X0: $i] :
( subq(iPr_def_13,m(X0,iPr_def_13))
| ~ mem(iPr_def_12,m(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_56917,c_49]) ).
tcf(c_58242,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56917,c_38650]) ).
tcf(c_58243,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56917,c_38641]) ).
tcf(c_58244,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_13)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56917,c_38463]) ).
tcf(c_58245,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( sK0(iPr_def_13,m(X0,iPr_def_13)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56917,c_38633]) ).
tcf(c_58246,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( sK0(iPr_def_13,m(X0,iPr_def_13)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56917,c_38630]) ).
tcf(c_58247,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( sK0(iPr_def_13,m(X0,iPr_def_13)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56917,c_38620]) ).
tcf(c_58248,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( sK0(iPr_def_13,m(X0,iPr_def_13)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56917,c_38619]) ).
tcf(c_58249,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56917,c_43859]) ).
tcf(c_58250,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56917,c_38642]) ).
tcf(c_58251,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56917,c_38634]) ).
tcf(c_58252,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56917,c_38632]) ).
tcf(c_58253,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56917,c_38631]) ).
tcf(c_58254,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56917,c_42316]) ).
tcf(c_58255,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56917,c_38621]) ).
tcf(c_58256,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56917,c_38618]) ).
tcf(c_58257,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56917,c_38655]) ).
tcf(c_58258,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56917,c_38646]) ).
tcf(c_58259,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56917,c_38626]) ).
tcf(c_58260,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,m(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_56917,c_38609]) ).
tcf(c_58261,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( sK0(iPr_def_13,m(X0,iPr_def_13)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56917,c_38387]) ).
tcf(c_58263,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_13))
| mem(sK0(iPr_def_13,m(X0,iPr_def_13)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_56917,c_37453]) ).
tcf(c_58268,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56917,c_18917]) ).
tcf(c_58269,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56917,c_1123]) ).
tcf(c_58270,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56917,c_24898]) ).
tcf(c_58271,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38606]) ).
tcf(c_58272,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X1,iPr_def_13))
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38606]) ).
tcf(c_58273,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56917,c_48243]) ).
tcf(c_58274,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56917,c_38616]) ).
tcf(c_58275,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ( sK0(iPr_def_13,m(X1,iPr_def_13)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38462]) ).
tcf(c_58276,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56917,c_23363]) ).
tcf(c_58277,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56917,c_3193]) ).
tcf(c_58278,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38386]) ).
tcf(c_58279,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_13))
| mem(sK0(iPr_def_13,m(X1,iPr_def_13)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38386]) ).
tcf(c_58280,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56917,c_3153]) ).
tcf(c_58281,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56917,c_2526]) ).
tcf(c_58282,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56917,c_2331]) ).
tcf(c_58283,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_13))
| mem(sK0(iPr_def_13,m(X2,iPr_def_13)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38605]) ).
tcf(c_58284,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X2,iPr_def_13))
| mem(sK0(iPr_def_13,m(X2,iPr_def_13)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38605]) ).
tcf(c_58285,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X2,iPr_def_13))
| mem(sK0(iPr_def_13,m(X2,iPr_def_13)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56917,c_38614]) ).
tcf(c_58337,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_58261,c_56917]) ).
tcf(c_58349,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_58256,c_56917]) ).
tcf(c_58354,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_58255,c_56917]) ).
tcf(c_58359,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58253,c_56917]) ).
tcf(c_58364,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58252,c_56917]) ).
tcf(c_58369,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_58251,c_56917]) ).
tcf(c_58374,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_58250,c_56917]) ).
tcf(c_58387,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_58248,c_56917]) ).
tcf(c_58392,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_58247,c_56917]) ).
tcf(c_58397,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58246,c_56917]) ).
tcf(c_58402,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_58245,c_56917]) ).
tcf(c_58421,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_58244,c_56917]) ).
tcf(c_58436,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_58243,c_56917]) ).
tcf(c_58442,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_58242,c_56917]) ).
tcf(c_58552,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_56918,c_20550]) ).
tcf(c_58553,plain,
! [X0: $i] :
( subq(iPr_def_13,m(X0,iPr_def_26))
| ~ mem(iPr_def_12,m(X0,iPr_def_26)) ),
inference(superposition,[status(thm)],[c_56918,c_49]) ).
tcf(c_58555,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56918,c_38650]) ).
tcf(c_58556,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56918,c_38641]) ).
tcf(c_58557,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56918,c_38463]) ).
tcf(c_58558,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_13,m(X0,iPr_def_26)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56918,c_38633]) ).
tcf(c_58559,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_13,m(X0,iPr_def_26)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56918,c_38630]) ).
tcf(c_58560,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_13,m(X0,iPr_def_26)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56918,c_38620]) ).
tcf(c_58561,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_13,m(X0,iPr_def_26)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56918,c_38619]) ).
tcf(c_58562,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56918,c_43859]) ).
tcf(c_58563,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56918,c_38642]) ).
tcf(c_58564,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56918,c_38634]) ).
tcf(c_58565,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56918,c_38632]) ).
tcf(c_58566,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56918,c_38631]) ).
tcf(c_58567,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56918,c_42316]) ).
tcf(c_58568,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56918,c_38621]) ).
tcf(c_58569,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56918,c_38618]) ).
tcf(c_58570,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56918,c_38655]) ).
tcf(c_58571,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56918,c_38646]) ).
tcf(c_58572,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56918,c_38626]) ).
tcf(c_58573,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,m(X0,iPr_def_26)) ),
inference(superposition,[status(thm)],[c_56918,c_38609]) ).
tcf(c_58574,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_13,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56918,c_38387]) ).
tcf(c_58576,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_26))
| mem(sK0(iPr_def_13,m(X0,iPr_def_26)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_56918,c_37453]) ).
tcf(c_58581,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56918,c_18917]) ).
tcf(c_58582,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56918,c_1123]) ).
tcf(c_58583,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56918,c_24898]) ).
tcf(c_58584,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38606]) ).
tcf(c_58585,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X1,iPr_def_26))
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38606]) ).
tcf(c_58586,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56918,c_48243]) ).
tcf(c_58587,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56918,c_38616]) ).
tcf(c_58588,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ( sK0(iPr_def_13,m(X1,iPr_def_26)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38462]) ).
tcf(c_58589,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56918,c_23363]) ).
tcf(c_58590,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56918,c_3193]) ).
tcf(c_58591,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38386]) ).
tcf(c_58592,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_26))
| mem(sK0(iPr_def_13,m(X1,iPr_def_26)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38386]) ).
tcf(c_58593,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56918,c_3153]) ).
tcf(c_58594,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56918,c_2526]) ).
tcf(c_58595,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56918,c_2331]) ).
tcf(c_58596,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_26))
| mem(sK0(iPr_def_13,m(X2,iPr_def_26)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38605]) ).
tcf(c_58597,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X2,iPr_def_26))
| mem(sK0(iPr_def_13,m(X2,iPr_def_26)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38605]) ).
tcf(c_58598,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X2,iPr_def_26))
| mem(sK0(iPr_def_13,m(X2,iPr_def_26)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56918,c_38614]) ).
tcf(c_58650,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_58574,c_56918]) ).
tcf(c_58662,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_58569,c_56918]) ).
tcf(c_58667,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_58568,c_56918]) ).
tcf(c_58672,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58566,c_56918]) ).
tcf(c_58677,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58565,c_56918]) ).
tcf(c_58682,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_58564,c_56918]) ).
tcf(c_58687,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_58563,c_56918]) ).
tcf(c_58700,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_58561,c_56918]) ).
tcf(c_58705,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_58560,c_56918]) ).
tcf(c_58710,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58559,c_56918]) ).
tcf(c_58715,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_58558,c_56918]) ).
tcf(c_58734,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_58557,c_56918]) ).
tcf(c_58749,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_58556,c_56918]) ).
tcf(c_58755,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_58555,c_56918]) ).
tcf(c_58920,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_56936,c_20550]) ).
tcf(c_58921,plain,
! [X0: $i] :
( subq(iPr_def_13,m(X0,iPr_def_14))
| ~ mem(iPr_def_12,m(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_56936,c_49]) ).
tcf(c_58923,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56936,c_38650]) ).
tcf(c_58924,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56936,c_38641]) ).
tcf(c_58925,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56936,c_38463]) ).
tcf(c_58926,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_13,m(X0,iPr_def_14)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56936,c_38633]) ).
tcf(c_58927,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_13,m(X0,iPr_def_14)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56936,c_38630]) ).
tcf(c_58928,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_13,m(X0,iPr_def_14)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56936,c_38620]) ).
tcf(c_58929,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_13,m(X0,iPr_def_14)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56936,c_38619]) ).
tcf(c_58930,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56936,c_43859]) ).
tcf(c_58931,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56936,c_38642]) ).
tcf(c_58932,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56936,c_38634]) ).
tcf(c_58933,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56936,c_38632]) ).
tcf(c_58934,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56936,c_38631]) ).
tcf(c_58935,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56936,c_42316]) ).
tcf(c_58936,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56936,c_38621]) ).
tcf(c_58937,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56936,c_38618]) ).
tcf(c_58938,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56936,c_38655]) ).
tcf(c_58939,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56936,c_38646]) ).
tcf(c_58940,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56936,c_38626]) ).
tcf(c_58941,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,m(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_56936,c_38609]) ).
tcf(c_58942,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_13,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56936,c_38387]) ).
tcf(c_58944,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_14))
| mem(sK0(iPr_def_13,m(X0,iPr_def_14)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_56936,c_37453]) ).
tcf(c_58949,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56936,c_18917]) ).
tcf(c_58950,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56936,c_1123]) ).
tcf(c_58951,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56936,c_24898]) ).
tcf(c_58952,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38606]) ).
tcf(c_58953,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X1,iPr_def_14))
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38606]) ).
tcf(c_58954,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56936,c_48243]) ).
tcf(c_58955,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56936,c_38616]) ).
tcf(c_58956,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ( sK0(iPr_def_13,m(X1,iPr_def_14)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38462]) ).
tcf(c_58957,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56936,c_23363]) ).
tcf(c_58958,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56936,c_3193]) ).
tcf(c_58959,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38386]) ).
tcf(c_58960,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_14))
| mem(sK0(iPr_def_13,m(X1,iPr_def_14)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38386]) ).
tcf(c_58961,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56936,c_3153]) ).
tcf(c_58962,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56936,c_2526]) ).
tcf(c_58963,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56936,c_2331]) ).
tcf(c_58964,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_14))
| mem(sK0(iPr_def_13,m(X2,iPr_def_14)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38605]) ).
tcf(c_58965,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X2,iPr_def_14))
| mem(sK0(iPr_def_13,m(X2,iPr_def_14)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38605]) ).
tcf(c_58966,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X2,iPr_def_14))
| mem(sK0(iPr_def_13,m(X2,iPr_def_14)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56936,c_38614]) ).
tcf(c_59018,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_58942,c_56936]) ).
tcf(c_59030,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_58937,c_56936]) ).
tcf(c_59035,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_58936,c_56936]) ).
tcf(c_59040,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58934,c_56936]) ).
tcf(c_59045,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58933,c_56936]) ).
tcf(c_59050,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_58932,c_56936]) ).
tcf(c_59055,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_58931,c_56936]) ).
tcf(c_59068,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_58929,c_56936]) ).
tcf(c_59073,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_58928,c_56936]) ).
tcf(c_59078,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_58927,c_56936]) ).
tcf(c_59083,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_58926,c_56936]) ).
tcf(c_59102,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_58925,c_56936]) ).
tcf(c_59117,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_58924,c_56936]) ).
tcf(c_59123,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_58923,c_56936]) ).
tcf(c_59490,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_56937,c_20550]) ).
tcf(c_59491,plain,
! [X0: $i] :
( subq(iPr_def_13,m(X0,iPr_def_15))
| ~ mem(iPr_def_12,m(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_56937,c_49]) ).
tcf(c_59493,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56937,c_38650]) ).
tcf(c_59494,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56937,c_38641]) ).
tcf(c_59495,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56937,c_38463]) ).
tcf(c_59496,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_13,m(X0,iPr_def_15)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56937,c_38633]) ).
tcf(c_59497,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_13,m(X0,iPr_def_15)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56937,c_38630]) ).
tcf(c_59498,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_13,m(X0,iPr_def_15)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56937,c_38620]) ).
tcf(c_59499,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_13,m(X0,iPr_def_15)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56937,c_38619]) ).
tcf(c_59500,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56937,c_43859]) ).
tcf(c_59501,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56937,c_38642]) ).
tcf(c_59502,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56937,c_38634]) ).
tcf(c_59503,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56937,c_38632]) ).
tcf(c_59504,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56937,c_38631]) ).
tcf(c_59505,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56937,c_42316]) ).
tcf(c_59506,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56937,c_38621]) ).
tcf(c_59507,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56937,c_38618]) ).
tcf(c_59508,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56937,c_38655]) ).
tcf(c_59509,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56937,c_38646]) ).
tcf(c_59510,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56937,c_38626]) ).
tcf(c_59511,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,m(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_56937,c_38609]) ).
tcf(c_59512,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_13,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56937,c_38387]) ).
tcf(c_59514,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_15))
| mem(sK0(iPr_def_13,m(X0,iPr_def_15)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_56937,c_37453]) ).
tcf(c_59519,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56937,c_18917]) ).
tcf(c_59520,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56937,c_1123]) ).
tcf(c_59521,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56937,c_24898]) ).
tcf(c_59522,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38606]) ).
tcf(c_59523,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X1,iPr_def_15))
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38606]) ).
tcf(c_59524,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56937,c_48243]) ).
tcf(c_59525,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56937,c_38616]) ).
tcf(c_59526,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ( sK0(iPr_def_13,m(X1,iPr_def_15)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38462]) ).
tcf(c_59527,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56937,c_23363]) ).
tcf(c_59528,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56937,c_3193]) ).
tcf(c_59529,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38386]) ).
tcf(c_59530,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_15))
| mem(sK0(iPr_def_13,m(X1,iPr_def_15)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38386]) ).
tcf(c_59531,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56937,c_3153]) ).
tcf(c_59532,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56937,c_2526]) ).
tcf(c_59533,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56937,c_2331]) ).
tcf(c_59534,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_15))
| mem(sK0(iPr_def_13,m(X2,iPr_def_15)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38605]) ).
tcf(c_59535,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X2,iPr_def_15))
| mem(sK0(iPr_def_13,m(X2,iPr_def_15)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38605]) ).
tcf(c_59536,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X2,iPr_def_15))
| mem(sK0(iPr_def_13,m(X2,iPr_def_15)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56937,c_38614]) ).
tcf(c_59588,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_59512,c_56937]) ).
tcf(c_59600,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_59507,c_56937]) ).
tcf(c_59605,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_59506,c_56937]) ).
tcf(c_59610,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_59504,c_56937]) ).
tcf(c_59615,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_59503,c_56937]) ).
tcf(c_59620,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_59502,c_56937]) ).
tcf(c_59625,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_59501,c_56937]) ).
tcf(c_59638,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_59499,c_56937]) ).
tcf(c_59643,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_59498,c_56937]) ).
tcf(c_59648,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_59497,c_56937]) ).
tcf(c_59653,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_59496,c_56937]) ).
tcf(c_59672,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_59495,c_56937]) ).
tcf(c_59687,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_59494,c_56937]) ).
tcf(c_59693,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_59493,c_56937]) ).
tcf(c_59950,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_56939,c_20550]) ).
tcf(c_59951,plain,
! [X0: $i] :
( subq(iPr_def_13,m(X0,iPr_def_28))
| ~ mem(iPr_def_12,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_56939,c_49]) ).
tcf(c_59953,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56939,c_38650]) ).
tcf(c_59954,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56939,c_38641]) ).
tcf(c_59955,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56939,c_38463]) ).
tcf(c_59956,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_13,m(X0,iPr_def_28)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56939,c_38633]) ).
tcf(c_59957,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_13,m(X0,iPr_def_28)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56939,c_38630]) ).
tcf(c_59958,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_13,m(X0,iPr_def_28)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56939,c_38620]) ).
tcf(c_59959,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_13,m(X0,iPr_def_28)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56939,c_38619]) ).
tcf(c_59960,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56939,c_43859]) ).
tcf(c_59961,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56939,c_38642]) ).
tcf(c_59962,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56939,c_38634]) ).
tcf(c_59963,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56939,c_38632]) ).
tcf(c_59964,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56939,c_38631]) ).
tcf(c_59965,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56939,c_42316]) ).
tcf(c_59966,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56939,c_38621]) ).
tcf(c_59967,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56939,c_38618]) ).
tcf(c_59968,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56939,c_38655]) ).
tcf(c_59969,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56939,c_38646]) ).
tcf(c_59970,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56939,c_38626]) ).
tcf(c_59971,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_56939,c_38609]) ).
tcf(c_59972,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_13,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56939,c_38387]) ).
tcf(c_59974,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_28))
| mem(sK0(iPr_def_13,m(X0,iPr_def_28)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_56939,c_37453]) ).
tcf(c_59979,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56939,c_18917]) ).
tcf(c_59980,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56939,c_1123]) ).
tcf(c_59981,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56939,c_24898]) ).
tcf(c_59982,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38606]) ).
tcf(c_59983,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X1,iPr_def_28))
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38606]) ).
tcf(c_59984,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56939,c_48243]) ).
tcf(c_59985,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56939,c_38616]) ).
tcf(c_59986,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ( sK0(iPr_def_13,m(X1,iPr_def_28)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38462]) ).
tcf(c_59987,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56939,c_23363]) ).
tcf(c_59988,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56939,c_3193]) ).
tcf(c_59989,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38386]) ).
tcf(c_59990,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_28))
| mem(sK0(iPr_def_13,m(X1,iPr_def_28)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38386]) ).
tcf(c_59991,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56939,c_3153]) ).
tcf(c_59992,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56939,c_2526]) ).
tcf(c_59993,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56939,c_2331]) ).
tcf(c_59994,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_28))
| mem(sK0(iPr_def_13,m(X2,iPr_def_28)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38605]) ).
tcf(c_59995,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X2,iPr_def_28))
| mem(sK0(iPr_def_13,m(X2,iPr_def_28)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38605]) ).
tcf(c_59996,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X2,iPr_def_28))
| mem(sK0(iPr_def_13,m(X2,iPr_def_28)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56939,c_38614]) ).
tcf(c_60048,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_59972,c_56939]) ).
tcf(c_60060,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_59967,c_56939]) ).
tcf(c_60065,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_59966,c_56939]) ).
tcf(c_60070,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_59964,c_56939]) ).
tcf(c_60075,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_59963,c_56939]) ).
tcf(c_60080,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_59962,c_56939]) ).
tcf(c_60085,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_59961,c_56939]) ).
tcf(c_60098,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_59959,c_56939]) ).
tcf(c_60103,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_59958,c_56939]) ).
tcf(c_60108,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_59957,c_56939]) ).
tcf(c_60113,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_59956,c_56939]) ).
tcf(c_60132,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_59955,c_56939]) ).
tcf(c_60147,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_59954,c_56939]) ).
tcf(c_60153,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_59953,c_56939]) ).
tcf(c_60363,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_13,m(X1,iPr_def_25)) = iPr_def_12 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57051,c_51]) ).
tcf(c_60364,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_25)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57051,c_1252]) ).
tcf(c_60367,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ( sK0(iPr_def_13,m(X0,iPr_def_25)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57051,c_4210]) ).
tcf(c_60368,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(X2,iPr_def_25)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_23,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57051,c_8779]) ).
tcf(c_60369,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_13,m(X2,iPr_def_25)) = iPr_def_12 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_23),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57051,c_8377]) ).
tcf(c_60370,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X1,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_25)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_57051,c_6479]) ).
tcf(c_60404,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_59951]) ).
tcf(c_60405,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,m(m(m(X0,iPr_def_28),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_59951]) ).
tcf(c_60406,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_28),m(X0,iPr_def_28))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_59951]) ).
tcf(c_60407,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,iPr_def_28))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_59951]) ).
tcf(c_60408,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_28),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_59951]) ).
tcf(c_60409,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,iPr_def_28))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_59951]) ).
tcf(c_60410,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,iPr_def_28))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_59951]) ).
tcf(c_60411,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(e,m(X0,iPr_def_28))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_59951]) ).
tcf(c_60412,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_28),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_59951]) ).
tcf(c_60413,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_28),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_59951]) ).
tcf(c_60414,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_28),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_59951]) ).
tcf(c_60415,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_59951]) ).
tcf(c_60416,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_13,m(m(X0,iPr_def_28),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_59951]) ).
tcf(c_60417,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_59951]) ).
tcf(c_60418,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_59951]) ).
tcf(c_60419,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_59951]) ).
tcf(c_60421,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ( sK0(iPr_def_25,u(X0,m(X1,iPr_def_28))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_59951]) ).
tcf(c_60422,plain,
( subq(iPr_def_13,m(e,iPr_def_28))
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_18771,c_59951]) ).
tcf(c_60684,plain,
( mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(global_subsumption_just,[status(thm)],[c_59960,c_1187,c_31282,c_43869]) ).
tcf(c_60691,plain,
( mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(global_subsumption_just,[status(thm)],[c_59965,c_1187,c_31282,c_42326]) ).
tcf(c_60710,plain,
! [X0: $i] :
( subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_4076,c_25842]) ).
tcf(c_60711,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_4077,c_25842]) ).
tcf(c_60712,plain,
! [X0: $i] :
( subq(iPr_def_12,iPr_def_10)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_10499,c_25842]) ).
tcf(c_60713,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_18388,c_25842]) ).
tcf(c_60714,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_18404,c_25842]) ).
tcf(c_60715,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_55125,c_25842]) ).
tcf(c_60716,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_55126,c_25842]) ).
tcf(c_60717,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_55127,c_25842]) ).
tcf(c_60718,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_55128,c_25842]) ).
tcf(c_60719,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_55129,c_25842]) ).
tcf(c_60720,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_18,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_25842,c_38610]) ).
tcf(c_60721,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_18,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_25842,c_29598]) ).
tcf(c_60722,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_12,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_12,X1)) = iPr_def_24 )
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_25842,c_6475]) ).
tcf(c_60723,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_12,X1) = X0 )
| ~ subq(iPr_def_18,p(X0))
| ~ subq(X0,sK0(iPr_def_12,X1)) ),
inference(superposition,[status(thm)],[c_25842,c_52]) ).
tcf(c_60724,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ~ subq(iPr_def_18,p(X0)) ),
inference(superposition,[status(thm)],[c_25842,c_783]) ).
tcf(c_60725,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(sK0(iPr_def_12,X0),X1)
| ~ subq(iPr_def_18,p(e)) ),
inference(superposition,[status(thm)],[c_25842,c_18912]) ).
tcf(c_60726,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = e )
| ~ subq(iPr_def_18,p(e)) ),
inference(superposition,[status(thm)],[c_25842,c_1212]) ).
tcf(c_60727,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(sK0(iPr_def_12,X0),p(X1))
| ~ subq(iPr_def_18,p(p(e))) ),
inference(superposition,[status(thm)],[c_25842,c_22959]) ).
tcf(c_60728,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ~ subq(iPr_def_18,p(e)) ),
inference(superposition,[status(thm)],[c_25842,c_21696]) ).
tcf(c_61045,plain,
! [X0: $i] : ~ mem(iPr_def_12,m(X0,iPr_def_13)),
inference(global_subsumption_just,[status(thm)],[c_58240,c_755,c_8155]) ).
tcf(c_61049,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_13),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_61045]) ).
tcf(c_61050,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(m(X0,iPr_def_13),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_61045]) ).
tcf(c_61051,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X0,iPr_def_13),m(X0,iPr_def_13))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_61045]) ).
tcf(c_61052,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,iPr_def_13))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_61045]) ).
tcf(c_61053,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X0,iPr_def_13),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_61045]) ).
tcf(c_61054,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,iPr_def_13))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_61045]) ).
tcf(c_61055,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,iPr_def_13))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_61045]) ).
tcf(c_61056,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,m(X0,iPr_def_13))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_61045]) ).
tcf(c_61057,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X0,iPr_def_13),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_61045]) ).
tcf(c_61058,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X0,iPr_def_13),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_61045]) ).
tcf(c_61059,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(m(X0,iPr_def_13),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_61045]) ).
tcf(c_61060,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| ( sK0(iPr_def_25,u(m(X0,iPr_def_13),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_61045]) ).
tcf(c_61061,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_13,m(m(X0,iPr_def_13),X1)) = iPr_def_12,
inference(superposition,[status(thm)],[c_4211,c_61045]) ).
tcf(c_61066,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,m(X1,iPr_def_13))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_61045]) ).
tcf(c_61067,plain,
~ mem(iPr_def_12,e),
inference(superposition,[status(thm)],[c_18771,c_61045]) ).
tcf(c_61158,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_26),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_58553]) ).
tcf(c_61159,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,m(m(m(X0,iPr_def_26),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_58553]) ).
tcf(c_61160,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_26),m(X0,iPr_def_26))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_58553]) ).
tcf(c_61161,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,iPr_def_26))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_58553]) ).
tcf(c_61162,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_26),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_58553]) ).
tcf(c_61163,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,iPr_def_26))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_58553]) ).
tcf(c_61164,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,iPr_def_26))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_58553]) ).
tcf(c_61165,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(e,m(X0,iPr_def_26))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_58553]) ).
tcf(c_61166,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_26),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_58553]) ).
tcf(c_61167,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_26),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_58553]) ).
tcf(c_61168,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_26),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_58553]) ).
tcf(c_61169,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_26),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_58553]) ).
tcf(c_61170,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_13,m(m(X0,iPr_def_26),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_58553]) ).
tcf(c_61171,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_58553]) ).
tcf(c_61172,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_26),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_58553]) ).
tcf(c_61173,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,m(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_58553]) ).
tcf(c_61175,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ( sK0(iPr_def_25,u(X0,m(X1,iPr_def_26))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_58553]) ).
tcf(c_61176,plain,
( subq(iPr_def_13,m(e,iPr_def_26))
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_18771,c_58553]) ).
tcf(c_61407,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_14),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_58921]) ).
tcf(c_61408,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,m(m(m(X0,iPr_def_14),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_58921]) ).
tcf(c_61409,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_14),m(X0,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_58921]) ).
tcf(c_61410,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_58921]) ).
tcf(c_61411,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_14),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_58921]) ).
tcf(c_61412,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_58921]) ).
tcf(c_61413,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_58921]) ).
tcf(c_61414,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(e,m(X0,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_58921]) ).
tcf(c_61415,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_14),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_58921]) ).
tcf(c_61416,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_14),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_58921]) ).
tcf(c_61417,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_14),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_58921]) ).
tcf(c_61418,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_14),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_58921]) ).
tcf(c_61419,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_13,m(m(X0,iPr_def_14),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_58921]) ).
tcf(c_61420,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_58921]) ).
tcf(c_61421,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_14),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_58921]) ).
tcf(c_61422,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_14))
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_58921]) ).
tcf(c_61424,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ( sK0(iPr_def_25,u(X0,m(X1,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_58921]) ).
tcf(c_61425,plain,
( subq(iPr_def_13,m(e,iPr_def_14))
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_18771,c_58921]) ).
tcf(c_61723,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_15),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_59491]) ).
tcf(c_61724,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,m(m(m(X0,iPr_def_15),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_59491]) ).
tcf(c_61725,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_15),m(X0,iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_59491]) ).
tcf(c_61726,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_59491]) ).
tcf(c_61727,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_15),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_59491]) ).
tcf(c_61728,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_59491]) ).
tcf(c_61729,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_59491]) ).
tcf(c_61730,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(e,m(X0,iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_59491]) ).
tcf(c_61731,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_15),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_59491]) ).
tcf(c_61732,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_15),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_59491]) ).
tcf(c_61733,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_15),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_59491]) ).
tcf(c_61734,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_15),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_59491]) ).
tcf(c_61735,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_13,m(m(X0,iPr_def_15),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_59491]) ).
tcf(c_61736,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_59491]) ).
tcf(c_61737,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_15),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_59491]) ).
tcf(c_61738,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_15))
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_59491]) ).
tcf(c_61740,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ( sK0(iPr_def_25,u(X0,m(X1,iPr_def_15))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_59491]) ).
tcf(c_61741,plain,
( subq(iPr_def_13,m(e,iPr_def_15))
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_18771,c_59491]) ).
tcf(c_61809,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_13,p(e)) ),
inference(superposition,[status(thm)],[c_56938,c_20550]) ).
tcf(c_61810,plain,
! [X0: $i] :
( subq(iPr_def_13,m(X0,iPr_def_27))
| ~ mem(iPr_def_12,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_56938,c_49]) ).
tcf(c_61812,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56938,c_38650]) ).
tcf(c_61813,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56938,c_38641]) ).
tcf(c_61814,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_16)
| ( sK0(iPr_def_13,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56938,c_38463]) ).
tcf(c_61815,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_13,m(X0,iPr_def_27)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56938,c_38633]) ).
tcf(c_61816,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_13,m(X0,iPr_def_27)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56938,c_38630]) ).
tcf(c_61817,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_13,m(X0,iPr_def_27)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56938,c_38620]) ).
tcf(c_61818,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_13,m(X0,iPr_def_27)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56938,c_38619]) ).
tcf(c_61819,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56938,c_43859]) ).
tcf(c_61820,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56938,c_38642]) ).
tcf(c_61821,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56938,c_38634]) ).
tcf(c_61822,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56938,c_38632]) ).
tcf(c_61823,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56938,c_38631]) ).
tcf(c_61824,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56938,c_42316]) ).
tcf(c_61825,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56938,c_38621]) ).
tcf(c_61826,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56938,c_38618]) ).
tcf(c_61827,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56938,c_38655]) ).
tcf(c_61828,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56938,c_38646]) ).
tcf(c_61829,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56938,c_38626]) ).
tcf(c_61830,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_56938,c_38609]) ).
tcf(c_61831,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_13,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56938,c_38387]) ).
tcf(c_61833,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_27))
| mem(sK0(iPr_def_13,m(X0,iPr_def_27)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_56938,c_37453]) ).
tcf(c_61838,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56938,c_18917]) ).
tcf(c_61839,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56938,c_1123]) ).
tcf(c_61840,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56938,c_24898]) ).
tcf(c_61841,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38606]) ).
tcf(c_61842,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X1,iPr_def_27))
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38606]) ).
tcf(c_61843,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56938,c_48243]) ).
tcf(c_61844,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56938,c_38616]) ).
tcf(c_61845,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ( sK0(iPr_def_13,m(X1,iPr_def_27)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38462]) ).
tcf(c_61846,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56938,c_23363]) ).
tcf(c_61847,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56938,c_3193]) ).
tcf(c_61848,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38386]) ).
tcf(c_61849,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X1,iPr_def_27))
| mem(sK0(iPr_def_13,m(X1,iPr_def_27)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38386]) ).
tcf(c_61850,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56938,c_3153]) ).
tcf(c_61851,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56938,c_2526]) ).
tcf(c_61852,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56938,c_2331]) ).
tcf(c_61853,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_27))
| mem(sK0(iPr_def_13,m(X2,iPr_def_27)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38605]) ).
tcf(c_61854,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X2,iPr_def_27))
| mem(sK0(iPr_def_13,m(X2,iPr_def_27)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38605]) ).
tcf(c_61855,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X2,iPr_def_27))
| mem(sK0(iPr_def_13,m(X2,iPr_def_27)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56938,c_38614]) ).
tcf(c_61907,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_61831,c_56938]) ).
tcf(c_61919,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_61826,c_56938]) ).
tcf(c_61924,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_61825,c_56938]) ).
tcf(c_61929,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_61823,c_56938]) ).
tcf(c_61934,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_61822,c_56938]) ).
tcf(c_61939,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_61821,c_56938]) ).
tcf(c_61944,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_61820,c_56938]) ).
tcf(c_61957,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_61818,c_56938]) ).
tcf(c_61962,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_61817,c_56938]) ).
tcf(c_61967,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_61816,c_56938]) ).
tcf(c_61972,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_61815,c_56938]) ).
tcf(c_61991,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_61814,c_56938]) ).
tcf(c_62006,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_61813,c_56938]) ).
tcf(c_62012,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_61812,c_56938]) ).
tcf(c_62233,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X1)
| subq(iPr_def_16,m(X0,iPr_def_16))
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_57784,c_20550]) ).
tcf(c_62234,plain,
! [X0: $i] :
( subq(iPr_def_16,m(X0,iPr_def_16))
| ~ mem(iPr_def_15,m(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_57784,c_49]) ).
tcf(c_62239,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_16))
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_57784,c_18917]) ).
tcf(c_62240,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_16))
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_57784,c_1123]) ).
tcf(c_62241,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_16))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_57784,c_21376]) ).
tcf(c_62242,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_16))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57784,c_3096]) ).
tcf(c_62243,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_16))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57784,c_3075]) ).
tcf(c_62244,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_16))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57784,c_2244]) ).
tcf(c_62272,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X1)
| subq(iPr_def_16,m(X0,iPr_def_23))
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_57785,c_20550]) ).
tcf(c_62273,plain,
! [X0: $i] :
( subq(iPr_def_16,m(X0,iPr_def_23))
| ~ mem(iPr_def_15,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_57785,c_49]) ).
tcf(c_62278,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_23))
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_57785,c_18917]) ).
tcf(c_62279,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_23))
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_57785,c_1123]) ).
tcf(c_62280,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_23))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_57785,c_21376]) ).
tcf(c_62281,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_23))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57785,c_3096]) ).
tcf(c_62282,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_23))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57785,c_3075]) ).
tcf(c_62283,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_23))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57785,c_2244]) ).
tcf(c_62450,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X1)
| subq(iPr_def_16,m(X0,iPr_def_27))
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_57788,c_20550]) ).
tcf(c_62451,plain,
! [X0: $i] :
( subq(iPr_def_16,m(X0,iPr_def_27))
| ~ mem(iPr_def_15,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_57788,c_49]) ).
tcf(c_62456,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_27))
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_57788,c_18917]) ).
tcf(c_62457,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_27))
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_57788,c_1123]) ).
tcf(c_62458,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_27))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_57788,c_21376]) ).
tcf(c_62459,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_27))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57788,c_3096]) ).
tcf(c_62460,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57788,c_3075]) ).
tcf(c_62461,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_27))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57788,c_2244]) ).
tcf(c_62500,plain,
~ subq(iPr_def_13,p(e)),
inference(global_subsumption_just,[status(thm)],[c_59950,c_1187,c_1188,c_20659,c_30235,c_31282]) ).
tcf(c_62502,plain,
sK0(iPr_def_13,p(e)) = iPr_def_12,
inference(superposition,[status(thm)],[c_849,c_62500]) ).
tcf(c_62503,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_13,p(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_59979,c_1187,c_20515,c_31282]) ).
tcf(c_62510,plain,
! [X0: $i] :
( subq(iPr_def_15,X0)
| ~ subq(iPr_def_16,p(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_26219,c_66,c_1186,c_1409,c_20658,c_26219,c_32136]) ).
tcf(c_62523,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_27),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_61810]) ).
tcf(c_62524,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,m(m(m(X0,iPr_def_27),X1),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_61810]) ).
tcf(c_62525,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_27),m(X0,iPr_def_27))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_61810]) ).
tcf(c_62526,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(iPr_def_23,m(X0,iPr_def_27))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_61810]) ).
tcf(c_62527,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_27),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_61810]) ).
tcf(c_62528,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(iPr_def_22,m(X0,iPr_def_27))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_61810]) ).
tcf(c_62529,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(iPr_def_16,m(X0,iPr_def_27))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_61810]) ).
tcf(c_62530,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(e,m(X0,iPr_def_27))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_61810]) ).
tcf(c_62531,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_27),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_61810]) ).
tcf(c_62532,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_27),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_61810]) ).
tcf(c_62533,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_27),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_61810]) ).
tcf(c_62534,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,u(m(X0,iPr_def_27),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_61810]) ).
tcf(c_62535,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_13,m(m(X0,iPr_def_27),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4211,c_61810]) ).
tcf(c_62536,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6472,c_61810]) ).
tcf(c_62537,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_27),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6480,c_61810]) ).
tcf(c_62538,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,m(X0,iPr_def_27)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6428,c_61810]) ).
tcf(c_62540,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ( sK0(iPr_def_25,u(X0,m(X1,iPr_def_27))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_61810]) ).
tcf(c_62541,plain,
( subq(iPr_def_13,m(e,iPr_def_27))
| ~ mem(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_18771,c_61810]) ).
tcf(c_62608,plain,
! [X0: $i] : ~ mem(iPr_def_15,m(X0,iPr_def_16)),
inference(global_subsumption_just,[status(thm)],[c_62234,c_756,c_8182]) ).
tcf(c_62612,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_16,m(m(X0,iPr_def_16),X1)) = iPr_def_15,
inference(superposition,[status(thm)],[c_4362,c_62608]) ).
tcf(c_62614,plain,
~ mem(iPr_def_15,e),
inference(superposition,[status(thm)],[c_18771,c_62608]) ).
tcf(c_62621,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,m(X0,iPr_def_23))
| ( sK0(iPr_def_16,m(m(X0,iPr_def_23),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_62273]) ).
tcf(c_62623,plain,
( subq(iPr_def_16,m(e,iPr_def_23))
| ~ mem(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_18771,c_62273]) ).
tcf(c_62632,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,m(X0,iPr_def_27))
| ( sK0(iPr_def_16,m(m(X0,iPr_def_27),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_62451]) ).
tcf(c_62634,plain,
( subq(iPr_def_16,m(e,iPr_def_27))
| ~ mem(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_18771,c_62451]) ).
tcf(c_62639,plain,
( subq(iPr_def_13,p(e))
| ~ mem(iPr_def_12,p(e)) ),
inference(superposition,[status(thm)],[c_62502,c_49]) ).
tcf(c_62641,plain,
( subq(iPr_def_13,p(e))
| ~ subq(iPr_def_12,e) ),
inference(superposition,[status(thm)],[c_62502,c_21696]) ).
tcf(c_62643,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_19)
| mem(sK0(iPr_def_13,p(e)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_62502,c_38650]) ).
tcf(c_62644,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_12)
| mem(sK0(iPr_def_13,p(e)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_62502,c_38641]) ).
tcf(c_62645,plain,
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_16)
| ( sK0(iPr_def_13,p(e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_62502,c_38463]) ).
tcf(c_62646,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_13,p(e)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_62502,c_38633]) ).
tcf(c_62647,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_13,p(e)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_62502,c_38630]) ).
tcf(c_62648,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_13,p(e)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_62502,c_38620]) ).
tcf(c_62649,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_13,p(e)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_62502,c_38619]) ).
tcf(c_62650,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_62502,c_43859]) ).
tcf(c_62651,plain,
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_62502,c_38642]) ).
tcf(c_62652,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_62502,c_38634]) ).
tcf(c_62653,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_62502,c_38632]) ).
tcf(c_62654,plain,
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_62502,c_38631]) ).
tcf(c_62655,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_62502,c_42316]) ).
tcf(c_62656,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_62502,c_38621]) ).
tcf(c_62657,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_62502,c_38618]) ).
tcf(c_62658,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_62502,c_38655]) ).
tcf(c_62659,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_62502,c_38646]) ).
tcf(c_62660,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_62502,c_38626]) ).
tcf(c_62661,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,p(e)) ),
inference(superposition,[status(thm)],[c_62502,c_38609]) ).
tcf(c_62662,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_13,p(e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_62502,c_38387]) ).
tcf(c_62664,plain,
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_62502,c_37453]) ).
tcf(c_62669,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_62502,c_18917]) ).
tcf(c_62670,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_62502,c_1123]) ).
tcf(c_62671,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_62502,c_24898]) ).
tcf(c_62672,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_22)
| mem(sK0(iPr_def_13,p(e)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38606]) ).
tcf(c_62673,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_16)
| mem(sK0(iPr_def_13,p(e)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38606]) ).
tcf(c_62674,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_62502,c_48243]) ).
tcf(c_62675,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_23)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_62502,c_38616]) ).
tcf(c_62676,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ( sK0(iPr_def_13,p(e)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38462]) ).
tcf(c_62677,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_62502,c_23363]) ).
tcf(c_62678,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_62502,c_3193]) ).
tcf(c_62679,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38386]) ).
tcf(c_62680,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38386]) ).
tcf(c_62681,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_62502,c_3153]) ).
tcf(c_62682,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_62502,c_2526]) ).
tcf(c_62683,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_62502,c_2331]) ).
tcf(c_62684,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38605]) ).
tcf(c_62685,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38605]) ).
tcf(c_62686,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,p(e))
| mem(sK0(iPr_def_13,p(e)),iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_62502,c_38614]) ).
tcf(c_62687,plain,
~ subq(iPr_def_12,e),
inference(forward_subsumption_resolution,[status(thm)],[c_62641,c_62500]) ).
tcf(c_62688,plain,
~ mem(iPr_def_12,p(e)),
inference(forward_subsumption_resolution,[status(thm)],[c_62639,c_62500]) ).
tcf(c_62699,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_26,p(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62677,c_62500]) ).
tcf(c_62702,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_14,p(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62671,c_62500]) ).
tcf(c_62706,plain,
( mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,p(e)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62661,c_62500]) ).
tcf(c_62709,plain,
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e)) ),
inference(light_normalisation,[status(thm)],[c_62664,c_62502]) ).
tcf(c_62711,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_62662,c_62502]) ).
tcf(c_62714,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_62680,c_62502]) ).
tcf(c_62718,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_62657,c_62502]) ).
tcf(c_62719,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62718,c_62500]) ).
tcf(c_62723,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_62656,c_62502]) ).
tcf(c_62724,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62723,c_62500]) ).
tcf(c_62728,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_62654,c_62502]) ).
tcf(c_62729,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62728,c_62500]) ).
tcf(c_62733,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_62653,c_62502]) ).
tcf(c_62734,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62733,c_62500]) ).
tcf(c_62738,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_62652,c_62502]) ).
tcf(c_62739,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62738,c_62500]) ).
tcf(c_62743,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_62651,c_62502]) ).
tcf(c_62744,plain,
( mem(iPr_def_12,iPr_def_24)
| mem(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62743,c_62500]) ).
tcf(c_62748,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_62676,c_62502]) ).
tcf(c_62750,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,p(X0)) ),
inference(light_normalisation,[status(thm)],[c_62675,c_62502]) ).
tcf(c_62751,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_12,X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62750,c_62500]) ).
tcf(c_62755,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_62649,c_62502]) ).
tcf(c_62756,plain,
( mem(iPr_def_12,iPr_def_23)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62755,c_62500]) ).
tcf(c_62760,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_62648,c_62502]) ).
tcf(c_62761,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_10 = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62760,c_62500]) ).
tcf(c_62765,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_62647,c_62502]) ).
tcf(c_62766,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62765,c_62500]) ).
tcf(c_62770,plain,
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_62646,c_62502]) ).
tcf(c_62771,plain,
( mem(iPr_def_12,iPr_def_23)
| ( iPr_def_12 = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62770,c_62500]) ).
tcf(c_62775,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,p(e))
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_62686,c_62502]) ).
tcf(c_62776,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62775,c_62500]) ).
tcf(c_62780,plain,
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,p(e))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_62645,c_62502]) ).
tcf(c_62782,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_62685,c_62502]) ).
tcf(c_62783,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62782,c_62500]) ).
tcf(c_62790,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_62673,c_62502]) ).
tcf(c_62791,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| ~ subq(iPr_def_25,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62790,c_62500]) ).
tcf(c_62798,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_62644,c_62502]) ).
tcf(c_62799,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_12)
| mem(iPr_def_12,iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62798,c_62500]) ).
tcf(c_62804,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(light_normalisation,[status(thm)],[c_62643,c_62502]) ).
tcf(c_62805,plain,
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_19)
| mem(iPr_def_12,iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62804,c_62500]) ).
tcf(c_62811,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8379,c_62687]) ).
tcf(c_62819,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| ( sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8370,c_62688]) ).
tcf(c_62820,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(p(e),X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8378,c_62688]) ).
tcf(c_62821,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(p(e),p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11007,c_62688]) ).
tcf(c_62822,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_23,p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11006,c_62688]) ).
tcf(c_62823,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(p(e),iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_11004,c_62688]) ).
tcf(c_62824,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_22,p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10992,c_62688]) ).
tcf(c_62825,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(iPr_def_16,p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10972,c_62688]) ).
tcf(c_62826,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(e,p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10957,c_62688]) ).
tcf(c_62827,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(p(e),iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10946,c_62688]) ).
tcf(c_62828,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(p(e),iPr_def_16)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10926,c_62688]) ).
tcf(c_62829,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,u(p(e),e)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10911,c_62688]) ).
tcf(c_62830,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(p(e),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_62688]) ).
tcf(c_62831,plain,
! [X0: $i] : sK0(iPr_def_13,m(p(e),X0)) = iPr_def_12,
inference(superposition,[status(thm)],[c_4211,c_62688]) ).
tcf(c_62836,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,u(X0,p(e))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_6478,c_62688]) ).
tcf(c_62889,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X1)
| subq(iPr_def_16,m(X0,iPr_def_28))
| ~ subq(iPr_def_16,p(e)) ),
inference(superposition,[status(thm)],[c_57789,c_20550]) ).
tcf(c_62890,plain,
! [X0: $i] :
( subq(iPr_def_16,m(X0,iPr_def_28))
| ~ mem(iPr_def_15,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_57789,c_49]) ).
tcf(c_62895,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_28))
| ~ subq(iPr_def_16,p(X0)) ),
inference(superposition,[status(thm)],[c_57789,c_18917]) ).
tcf(c_62896,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_28))
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_57789,c_1123]) ).
tcf(c_62897,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_28))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_57789,c_21376]) ).
tcf(c_62898,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_28))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57789,c_3096]) ).
tcf(c_62899,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57789,c_3075]) ).
tcf(c_62900,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_15,X0)
| subq(iPr_def_16,m(X1,iPr_def_28))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57789,c_2244]) ).
tcf(c_63006,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ~ subq(iPr_def_19,p(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_26256,c_66,c_1184,c_1405,c_20656,c_26256,c_34252]) ).
tcf(c_63013,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_20,p(p(X0))) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5051,c_63006]) ).
tcf(c_63023,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,m(X0,iPr_def_28))
| ( sK0(iPr_def_16,m(m(X0,iPr_def_28),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4362,c_62890]) ).
tcf(c_63025,plain,
( subq(iPr_def_16,m(e,iPr_def_28))
| ~ mem(iPr_def_15,e) ),
inference(superposition,[status(thm)],[c_18771,c_62890]) ).
tcf(c_63253,plain,
! [X0: $i] : sK0(iPr_def_25,m(X0,s(iPr_def_24))) = iPr_def_24,
inference(superposition,[status(thm)],[c_54,c_4867]) ).
tcf(c_63254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_25,m(X1,u(X0,X2))) = iPr_def_24 )
| ~ mem(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_56,c_4867]) ).
tcf(c_63255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_25,m(X1,u(X2,X0))) = iPr_def_24 )
| ~ mem(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_57,c_4867]) ).
tcf(c_63256,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_24,X2)
| ( sK0(iPr_def_25,m(X1,m(X0,X2))) = iPr_def_24 )
| ~ mem(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_59,c_4867]) ).
tcf(c_63258,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(X1,p(X0))) = iPr_def_24 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_62,c_4867]) ).
tcf(c_63259,plain,
! [X0: $i] : sK0(iPr_def_25,m(X0,iPr_def_25)) = iPr_def_24,
inference(superposition,[status(thm)],[c_760,c_4867]) ).
tcf(c_63260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_25,m(X2,X0)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_4867]) ).
tcf(c_63261,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,X1) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3816,c_4867]) ).
tcf(c_63262,plain,
! [X0: $i] : sK0(iPr_def_25,m(X0,iPr_def_26)) = iPr_def_24,
inference(superposition,[status(thm)],[c_1666,c_4867]) ).
tcf(c_63263,plain,
! [X0: $i] : sK0(iPr_def_25,m(X0,iPr_def_28)) = iPr_def_24,
inference(superposition,[status(thm)],[c_1716,c_4867]) ).
tcf(c_63264,plain,
! [X0: $i] : sK0(iPr_def_25,m(X0,iPr_def_27)) = iPr_def_24,
inference(superposition,[status(thm)],[c_1762,c_4867]) ).
tcf(c_63265,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18232,c_4867]) ).
tcf(c_63266,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18216,c_4867]) ).
tcf(c_63267,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4892,c_4867]) ).
tcf(c_63268,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_15)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4870,c_4867]) ).
tcf(c_63269,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4874,c_4867]) ).
tcf(c_63270,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_18)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4871,c_4867]) ).
tcf(c_63271,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4876,c_4867]) ).
tcf(c_63272,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4875,c_4867]) ).
tcf(c_63273,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24756,c_4867]) ).
tcf(c_63274,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20073,c_4867]) ).
tcf(c_63275,plain,
! [X0: $i] :
( ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29909,c_4867]) ).
tcf(c_63276,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4896,c_4867]) ).
tcf(c_63277,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_23)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4879,c_4867]) ).
tcf(c_63278,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21001,c_4867]) ).
tcf(c_63279,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20985,c_4867]) ).
tcf(c_63280,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4895,c_4867]) ).
tcf(c_63281,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_22)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4881,c_4867]) ).
tcf(c_63282,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18200,c_4867]) ).
tcf(c_63283,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18184,c_4867]) ).
tcf(c_63284,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4893,c_4867]) ).
tcf(c_63285,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4884,c_4867]) ).
tcf(c_63286,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4887,c_4867]) ).
tcf(c_63287,plain,
! [X0: $i] :
( ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,iPr_def_21)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4885,c_4867]) ).
tcf(c_63391,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,s(iPr_def_19))) = iPr_def_19,
inference(superposition,[status(thm)],[c_54,c_5049]) ).
tcf(c_63392,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_5049]) ).
tcf(c_63393,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_5049]) ).
tcf(c_63394,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_5049]) ).
tcf(c_63395,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_20,m(X0,p(X1))) = iPr_def_19 )
| ~ subq(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_21676,c_5049]) ).
tcf(c_63396,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_5049]) ).
tcf(c_63397,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_20)) = iPr_def_19,
inference(superposition,[status(thm)],[c_759,c_5049]) ).
tcf(c_63398,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_5050,c_5049]) ).
tcf(c_63399,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_3837,c_5049]) ).
tcf(c_63400,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_21)) = iPr_def_19,
inference(superposition,[status(thm)],[c_1507,c_5049]) ).
tcf(c_63401,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_22)) = iPr_def_19,
inference(superposition,[status(thm)],[c_1539,c_5049]) ).
tcf(c_63402,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_23)) = iPr_def_19,
inference(superposition,[status(thm)],[c_1576,c_5049]) ).
tcf(c_63403,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_28)) = iPr_def_19,
inference(superposition,[status(thm)],[c_1638,c_5049]) ).
tcf(c_63404,plain,
! [X0: $i] : sK0(iPr_def_20,m(X0,iPr_def_27)) = iPr_def_19,
inference(superposition,[status(thm)],[c_1639,c_5049]) ).
tcf(c_63405,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_5074,c_5049]) ).
tcf(c_63406,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_15)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5052,c_5049]) ).
tcf(c_63407,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_18)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5056,c_5049]) ).
tcf(c_63408,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_18)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5053,c_5049]) ).
tcf(c_63409,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5058,c_5049]) ).
tcf(c_63410,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_14)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5057,c_5049]) ).
tcf(c_63411,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_25) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_26)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5072,c_5049]) ).
tcf(c_63412,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_26)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5059,c_5049]) ).
tcf(c_63413,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_18) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_24)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5075,c_5049]) ).
tcf(c_63414,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_19) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_24)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5066,c_5049]) ).
tcf(c_63472,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,s(iPr_def_18))) = iPr_def_18,
inference(superposition,[status(thm)],[c_54,c_5200]) ).
tcf(c_63473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_19,m(X1,u(X0,X2))) = iPr_def_18 )
| ~ mem(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_56,c_5200]) ).
tcf(c_63474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_19,m(X1,u(X2,X0))) = iPr_def_18 )
| ~ mem(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_57,c_5200]) ).
tcf(c_63475,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_18,X2)
| ( sK0(iPr_def_19,m(X1,m(X0,X2))) = iPr_def_18 )
| ~ mem(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_59,c_5200]) ).
tcf(c_63477,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_19,m(X1,p(X0))) = iPr_def_18 )
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_62,c_5200]) ).
tcf(c_63478,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_19)) = iPr_def_18,
inference(superposition,[status(thm)],[c_758,c_5200]) ).
tcf(c_63479,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_21)) = iPr_def_18,
inference(superposition,[status(thm)],[c_1059,c_5200]) ).
tcf(c_63480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(iPr_def_19,m(X2,X0)) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_5200]) ).
tcf(c_63481,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_19,X1) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3850,c_5200]) ).
tcf(c_63482,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_22)) = iPr_def_18,
inference(superposition,[status(thm)],[c_1516,c_5200]) ).
tcf(c_63483,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_23)) = iPr_def_18,
inference(superposition,[status(thm)],[c_1575,c_5200]) ).
tcf(c_63484,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_28)) = iPr_def_18,
inference(superposition,[status(thm)],[c_1614,c_5200]) ).
tcf(c_63485,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_27)) = iPr_def_18,
inference(superposition,[status(thm)],[c_1615,c_5200]) ).
tcf(c_63486,plain,
! [X0: $i] : sK0(iPr_def_19,m(X0,iPr_def_24)) = iPr_def_18,
inference(superposition,[status(thm)],[c_1657,c_5200]) ).
tcf(c_63487,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_14) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5225,c_5200]) ).
tcf(c_63488,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5203,c_5200]) ).
tcf(c_63489,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_18)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5207,c_5200]) ).
tcf(c_63490,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_10) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_18)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5204,c_5200]) ).
tcf(c_63491,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_14)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5209,c_5200]) ).
tcf(c_63492,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_14)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5208,c_5200]) ).
tcf(c_63493,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_25) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_26)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5223,c_5200]) ).
tcf(c_63494,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_26)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5210,c_5200]) ).
tcf(c_63541,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| subq(iPr_def_17,m(X0,iPr_def_17))
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_57971,c_20550]) ).
tcf(c_63542,plain,
! [X0: $i] :
( subq(iPr_def_17,m(X0,iPr_def_17))
| ~ mem(iPr_def_14,m(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_57971,c_49]) ).
tcf(c_63548,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_57971,c_18917]) ).
tcf(c_63549,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_57971,c_1123]) ).
tcf(c_63550,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57971,c_3533]) ).
tcf(c_63551,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57971,c_3518]) ).
tcf(c_63552,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_57971,c_21165]) ).
tcf(c_63553,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57971,c_3024]) ).
tcf(c_63554,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_17))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_57971,c_2210]) ).
tcf(c_63592,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| subq(iPr_def_17,m(X0,iPr_def_22))
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_57972,c_20550]) ).
tcf(c_63593,plain,
! [X0: $i] :
( subq(iPr_def_17,m(X0,iPr_def_22))
| ~ mem(iPr_def_14,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_57972,c_49]) ).
tcf(c_63599,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_57972,c_18917]) ).
tcf(c_63600,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_57972,c_1123]) ).
tcf(c_63601,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57972,c_3533]) ).
tcf(c_63602,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57972,c_3518]) ).
tcf(c_63603,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_57972,c_21165]) ).
tcf(c_63604,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57972,c_3024]) ).
tcf(c_63605,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_22))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_57972,c_2210]) ).
tcf(c_63703,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| subq(iPr_def_17,m(X0,iPr_def_23))
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_57975,c_20550]) ).
tcf(c_63704,plain,
! [X0: $i] :
( subq(iPr_def_17,m(X0,iPr_def_23))
| ~ mem(iPr_def_14,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_57975,c_49]) ).
tcf(c_63710,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_57975,c_18917]) ).
tcf(c_63711,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_57975,c_1123]) ).
tcf(c_63712,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57975,c_3533]) ).
tcf(c_63713,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57975,c_3518]) ).
tcf(c_63714,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_57975,c_21165]) ).
tcf(c_63715,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57975,c_3024]) ).
tcf(c_63716,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_23))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_57975,c_2210]) ).
tcf(c_63906,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| subq(iPr_def_17,m(X0,iPr_def_28))
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_57976,c_20550]) ).
tcf(c_63907,plain,
! [X0: $i] :
( subq(iPr_def_17,m(X0,iPr_def_28))
| ~ mem(iPr_def_14,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_57976,c_49]) ).
tcf(c_63913,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_57976,c_18917]) ).
tcf(c_63914,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_57976,c_1123]) ).
tcf(c_63915,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57976,c_3533]) ).
tcf(c_63916,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57976,c_3518]) ).
tcf(c_63917,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_57976,c_21165]) ).
tcf(c_63918,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57976,c_3024]) ).
tcf(c_63919,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_28))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_57976,c_2210]) ).
tcf(c_63967,plain,
! [X0: $i] :
( subq(iPr_def_20,e)
| subq(iPr_def_19,X0)
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_5046,c_26392]) ).
tcf(c_63968,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,s(X1))
| ( X1 = iPr_def_19 )
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_5047,c_26392]) ).
tcf(c_63969,plain,
! [X0: $i] :
( subq(iPr_def_20,iPr_def_10)
| subq(iPr_def_19,X0)
| ( e = iPr_def_19 )
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_5054,c_26392]) ).
tcf(c_63970,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_20,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_21,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_20,X0)) ),
inference(superposition,[status(thm)],[c_26392,c_38610]) ).
tcf(c_63971,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_20,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_21,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_20,X0)) ),
inference(superposition,[status(thm)],[c_26392,c_29598]) ).
tcf(c_63972,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_20,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_20,X1)) = iPr_def_24 )
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_26392,c_6475]) ).
tcf(c_63973,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X1)
| ( sK0(iPr_def_20,X1) = X0 )
| ~ subq(iPr_def_21,p(X0))
| ~ subq(X0,sK0(iPr_def_20,X1)) ),
inference(superposition,[status(thm)],[c_26392,c_52]) ).
tcf(c_63974,plain,
! [X0: $i] :
( subq(iPr_def_20,p(X0))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_26392,c_783]) ).
tcf(c_63975,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X0)
| subq(sK0(iPr_def_20,X0),X1)
| ~ subq(iPr_def_21,p(e)) ),
inference(superposition,[status(thm)],[c_26392,c_18912]) ).
tcf(c_63976,plain,
! [X0: $i] :
( subq(iPr_def_20,X0)
| ( sK0(iPr_def_20,X0) = e )
| ~ subq(iPr_def_21,p(e)) ),
inference(superposition,[status(thm)],[c_26392,c_1212]) ).
tcf(c_63977,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X0)
| subq(sK0(iPr_def_20,X0),p(X1))
| ~ subq(iPr_def_21,p(p(e))) ),
inference(superposition,[status(thm)],[c_26392,c_22959]) ).
tcf(c_63978,plain,
! [X0: $i] :
( subq(iPr_def_20,p(X0))
| ~ subq(iPr_def_21,p(e)) ),
inference(superposition,[status(thm)],[c_26392,c_21696]) ).
tcf(c_64033,plain,
! [X0: $i] : ~ mem(iPr_def_14,m(X0,iPr_def_17)),
inference(global_subsumption_just,[status(thm)],[c_63542,c_757,c_8218]) ).
tcf(c_64037,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_17,m(m(X0,iPr_def_17),X1)) = iPr_def_14,
inference(superposition,[status(thm)],[c_4558,c_64033]) ).
tcf(c_64039,plain,
~ mem(iPr_def_14,e),
inference(superposition,[status(thm)],[c_18771,c_64033]) ).
tcf(c_64046,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,m(X0,iPr_def_22))
| ( sK0(iPr_def_17,m(m(X0,iPr_def_22),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_63593]) ).
tcf(c_64048,plain,
( subq(iPr_def_17,m(e,iPr_def_22))
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_18771,c_63593]) ).
tcf(c_64057,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,m(X0,iPr_def_23))
| ( sK0(iPr_def_17,m(m(X0,iPr_def_23),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_63704]) ).
tcf(c_64059,plain,
( subq(iPr_def_17,m(e,iPr_def_23))
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_18771,c_63704]) ).
tcf(c_64068,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,m(X0,iPr_def_28))
| ( sK0(iPr_def_17,m(m(X0,iPr_def_28),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_63907]) ).
tcf(c_64070,plain,
( subq(iPr_def_17,m(e,iPr_def_28))
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_18771,c_63907]) ).
tcf(c_64080,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| subq(iPr_def_17,m(X0,iPr_def_27))
| ~ subq(iPr_def_17,p(e)) ),
inference(superposition,[status(thm)],[c_57977,c_20550]) ).
tcf(c_64081,plain,
! [X0: $i] :
( subq(iPr_def_17,m(X0,iPr_def_27))
| ~ mem(iPr_def_14,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_57977,c_49]) ).
tcf(c_64087,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_17,p(X0)) ),
inference(superposition,[status(thm)],[c_57977,c_18917]) ).
tcf(c_64088,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_57977,c_1123]) ).
tcf(c_64089,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_57977,c_3533]) ).
tcf(c_64090,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_57977,c_3518]) ).
tcf(c_64091,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_57977,c_21165]) ).
tcf(c_64092,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_57977,c_3024]) ).
tcf(c_64093,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_14,X0)
| subq(iPr_def_17,m(X1,iPr_def_27))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_57977,c_2210]) ).
tcf(c_64174,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_17,p(p(X0))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_62702]) ).
tcf(c_64228,plain,
~ subq(iPr_def_25,p(e)),
inference(global_subsumption_just,[status(thm)],[c_62706,c_66,c_1182,c_1414,c_20654,c_36179]) ).
tcf(c_64230,plain,
~ mem(iPr_def_24,p(e)),
inference(backward_subsumption_resolution,[status(thm)],[c_13360,c_64228]) ).
tcf(c_64239,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ mem(iPr_def_12,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_56948,c_49]) ).
tcf(c_64241,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56948,c_38650]) ).
tcf(c_64242,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_10)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56948,c_38641]) ).
tcf(c_64243,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56948,c_38463]) ).
tcf(c_64244,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_19 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56948,c_38633]) ).
tcf(c_64245,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_18 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56948,c_38630]) ).
tcf(c_64246,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_10 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56948,c_38620]) ).
tcf(c_64247,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = e )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56948,c_38619]) ).
tcf(c_64248,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56948,c_43859]) ).
tcf(c_64249,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56948,c_38642]) ).
tcf(c_64250,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56948,c_38634]) ).
tcf(c_64251,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56948,c_38632]) ).
tcf(c_64252,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56948,c_38631]) ).
tcf(c_64253,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56948,c_42316]) ).
tcf(c_64254,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56948,c_38621]) ).
tcf(c_64255,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56948,c_38618]) ).
tcf(c_64256,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56948,c_38655]) ).
tcf(c_64257,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56948,c_38646]) ).
tcf(c_64258,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56948,c_38626]) ).
tcf(c_64259,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_56948,c_38609]) ).
tcf(c_64260,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56948,c_38387]) ).
tcf(c_64262,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56948,c_37453]) ).
tcf(c_64267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_18917]) ).
tcf(c_64268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56948,c_1123]) ).
tcf(c_64269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_24898]) ).
tcf(c_64270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38606]) ).
tcf(c_64271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38606]) ).
tcf(c_64272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_38616]) ).
tcf(c_64273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_13,m(X3,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38462]) ).
tcf(c_64274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_23363]) ).
tcf(c_64275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56948,c_3193]) ).
tcf(c_64276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38386]) ).
tcf(c_64277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38386]) ).
tcf(c_64278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56948,c_3153]) ).
tcf(c_64279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56948,c_2526]) ).
tcf(c_64280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56948,c_2331]) ).
tcf(c_64281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X1)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38605]) ).
tcf(c_64282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38605]) ).
tcf(c_64283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56948,c_38614]) ).
tcf(c_64285,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,m(X0,u(iPr_def_28,X1)))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ~ mem(iPr_def_24,m(X0,u(iPr_def_28,X1))) ),
inference(superposition,[status(thm)],[c_56948,c_49]) ).
tcf(c_64287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_18917]) ).
tcf(c_64288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56948,c_1123]) ).
tcf(c_64292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56948,c_3382]) ).
tcf(c_64293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56948,c_2774]) ).
tcf(c_64294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56948,c_2721]) ).
tcf(c_64632,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| subq(iPr_def_13,m(e,iPr_def_23))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18771,c_64262]) ).
tcf(c_64633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_64262,c_51]) ).
tcf(c_64634,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64262,c_1252]) ).
tcf(c_64635,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_28)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64262,c_890]) ).
tcf(c_64636,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_27)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64262,c_889]) ).
tcf(c_64637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_64262,c_38614]) ).
tcf(c_64671,plain,
! [X0: $i,X1: $i] :
( ( sK0(iPr_def_25,m(e,X1)) = iPr_def_24 )
| ( sK0(iPr_def_13,m(X0,iPr_def_23)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_18771,c_56953]) ).
tcf(c_64673,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ mem(iPr_def_12,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_56953,c_49]) ).
tcf(c_64675,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_56953,c_38650]) ).
tcf(c_64676,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_10)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56953,c_38641]) ).
tcf(c_64677,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56953,c_38463]) ).
tcf(c_64678,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_19 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56953,c_38633]) ).
tcf(c_64679,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_18 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56953,c_38630]) ).
tcf(c_64680,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_10 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56953,c_38620]) ).
tcf(c_64681,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = e )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56953,c_38619]) ).
tcf(c_64682,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_56953,c_43859]) ).
tcf(c_64683,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_56953,c_38642]) ).
tcf(c_64684,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_56953,c_38634]) ).
tcf(c_64685,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56953,c_38632]) ).
tcf(c_64686,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_24)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_56953,c_38631]) ).
tcf(c_64687,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_56953,c_42316]) ).
tcf(c_64688,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_56953,c_38621]) ).
tcf(c_64689,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_56953,c_38618]) ).
tcf(c_64690,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_56953,c_38655]) ).
tcf(c_64691,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_56953,c_38646]) ).
tcf(c_64692,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_56953,c_38626]) ).
tcf(c_64693,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_56953,c_38609]) ).
tcf(c_64694,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56953,c_38387]) ).
tcf(c_64696,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56953,c_37453]) ).
tcf(c_64701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_13,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_18917]) ).
tcf(c_64702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_56953,c_1123]) ).
tcf(c_64703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_14,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_24898]) ).
tcf(c_64704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38606]) ).
tcf(c_64705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38606]) ).
tcf(c_64706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_38616]) ).
tcf(c_64707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_13,m(X3,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38462]) ).
tcf(c_64708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_23363]) ).
tcf(c_64709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_56953,c_3193]) ).
tcf(c_64710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38386]) ).
tcf(c_64711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38386]) ).
tcf(c_64712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56953,c_3153]) ).
tcf(c_64713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_56953,c_2526]) ).
tcf(c_64714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56953,c_2331]) ).
tcf(c_64715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X1)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38605]) ).
tcf(c_64716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,X1)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38605]) ).
tcf(c_64717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_56953,c_38614]) ).
tcf(c_64720,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,m(m(X0,iPr_def_28),X1))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_12 )
| ~ mem(iPr_def_24,m(m(X0,iPr_def_28),X1)) ),
inference(superposition,[status(thm)],[c_56953,c_49]) ).
tcf(c_64722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_18917]) ).
tcf(c_64723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_56953,c_1123]) ).
tcf(c_64727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_56953,c_3382]) ).
tcf(c_64728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56953,c_2774]) ).
tcf(c_64729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_56953,c_2721]) ).
tcf(c_65022,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(sK0(iPr_def_13,e),iPr_def_23)
| subq(iPr_def_13,m(e,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18771,c_64696]) ).
tcf(c_65023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_64696,c_51]) ).
tcf(c_65024,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_22)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64696,c_1252]) ).
tcf(c_65025,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_28)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64696,c_890]) ).
tcf(c_65026,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_27)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64696,c_889]) ).
tcf(c_65027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_64696,c_38614]) ).
tcf(c_65196,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_58278,c_56917]) ).
tcf(c_65204,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_21,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_22,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_27697,c_38610]) ).
tcf(c_65205,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_21,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_22,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_27697,c_29598]) ).
tcf(c_65206,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_21,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_21,X1)) = iPr_def_24 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_27697,c_6475]) ).
tcf(c_65207,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X1)
| ( sK0(iPr_def_21,X1) = X0 )
| ~ subq(iPr_def_22,p(X0))
| ~ subq(X0,sK0(iPr_def_21,X1)) ),
inference(superposition,[status(thm)],[c_27697,c_52]) ).
tcf(c_65208,plain,
! [X0: $i] :
( subq(iPr_def_21,p(X0))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_27697,c_783]) ).
tcf(c_65209,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X0)
| subq(sK0(iPr_def_21,X0),X1)
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_27697,c_18912]) ).
tcf(c_65210,plain,
! [X0: $i] :
( subq(iPr_def_21,X0)
| ( sK0(iPr_def_21,X0) = e )
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_27697,c_1212]) ).
tcf(c_65211,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X0)
| subq(sK0(iPr_def_21,X0),p(X1))
| ~ subq(iPr_def_22,p(p(e))) ),
inference(superposition,[status(thm)],[c_27697,c_22959]) ).
tcf(c_65212,plain,
! [X0: $i] :
( subq(iPr_def_21,p(X0))
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_27697,c_21696]) ).
tcf(c_65269,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,m(X0,iPr_def_27))
| ( sK0(iPr_def_17,m(m(X0,iPr_def_27),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4558,c_64081]) ).
tcf(c_65271,plain,
( subq(iPr_def_17,m(e,iPr_def_27))
| ~ mem(iPr_def_14,e) ),
inference(superposition,[status(thm)],[c_18771,c_64081]) ).
tcf(c_65279,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_7996,c_38610]) ).
tcf(c_65280,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_7996,c_29598]) ).
tcf(c_65281,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 )
| ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_7996,c_6475]) ).
tcf(c_65282,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_7996,c_52]) ).
tcf(c_65283,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK0(iPr_def_12,m(p(X0),X1)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_7996,c_1128]) ).
tcf(c_65287,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,p(X1))
| ( sK0(iPr_def_12,m(p(p(e)),X0)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_7996,c_22959]) ).
tcf(c_65318,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9092,c_38610]) ).
tcf(c_65319,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9092,c_29598]) ).
tcf(c_65320,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 )
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9092,c_6475]) ).
tcf(c_65321,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_12 )
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 )
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9092,c_52]) ).
tcf(c_65322,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X2,p(X0))) = iPr_def_24 )
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9092,c_8782]) ).
tcf(c_65323,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_13,m(p(X0),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9092,c_2818]) ).
tcf(c_65327,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_13,m(p(p(X0)),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9092,c_31222]) ).
tcf(c_65328,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,p(X1))
| ( sK0(iPr_def_13,m(p(p(e)),X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9092,c_22959]) ).
tcf(c_65367,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9351,c_38610]) ).
tcf(c_65368,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9351,c_29598]) ).
tcf(c_65369,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_15) = iPr_def_24 )
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_6475]) ).
tcf(c_65370,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_15 )
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 )
| ~ subq(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_9351,c_52]) ).
tcf(c_65373,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_39454]) ).
tcf(c_65374,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_39148]) ).
tcf(c_65375,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_31577]) ).
tcf(c_65376,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_25500]) ).
tcf(c_65377,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_2814]) ).
tcf(c_65378,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_1548]) ).
tcf(c_65379,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK0(iPr_def_16,m(p(X0),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_1406]) ).
tcf(c_65380,plain,
! [X0: $i] : sK0(iPr_def_16,m(p(e),X0)) = iPr_def_15,
inference(superposition,[status(thm)],[c_9351,c_25822]) ).
tcf(c_65381,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( sK0(iPr_def_16,m(p(iPr_def_14),X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_2549]) ).
tcf(c_65382,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_15 )
| ( sK0(iPr_def_16,m(p(iPr_def_10),X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_2863]) ).
tcf(c_65383,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_15 )
| ( sK0(iPr_def_16,m(p(iPr_def_12),X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_2961]) ).
tcf(c_65384,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sK0(iPr_def_16,m(p(iPr_def_13),X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_3198]) ).
tcf(c_65385,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_15,p(X1))
| ( sK0(iPr_def_16,m(p(p(e)),X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_22959]) ).
tcf(c_65449,plain,
! [X0: $i] : sK0(iPr_def_25,m(p(e),X0)) = iPr_def_24,
inference(superposition,[status(thm)],[c_4868,c_64230]) ).
tcf(c_65456,plain,
! [X0: $i] :
( subq(iPr_def_25,m(X0,iPr_def_25))
| ~ mem(iPr_def_24,m(X0,iPr_def_25)) ),
inference(superposition,[status(thm)],[c_63259,c_49]) ).
tcf(c_65458,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_63259,c_18917]) ).
tcf(c_65459,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_63259,c_1123]) ).
tcf(c_65463,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63259,c_3382]) ).
tcf(c_65464,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63259,c_2774]) ).
tcf(c_65465,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_63259,c_2721]) ).
tcf(c_65505,plain,
! [X0: $i] :
( subq(iPr_def_25,m(X0,iPr_def_26))
| ~ mem(iPr_def_24,m(X0,iPr_def_26)) ),
inference(superposition,[status(thm)],[c_63262,c_49]) ).
tcf(c_65507,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_63262,c_18917]) ).
tcf(c_65508,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_63262,c_1123]) ).
tcf(c_65512,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63262,c_3382]) ).
tcf(c_65513,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63262,c_2774]) ).
tcf(c_65514,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_63262,c_2721]) ).
tcf(c_65605,plain,
! [X0: $i] :
( subq(iPr_def_25,m(X0,iPr_def_28))
| ~ mem(iPr_def_24,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_63263,c_49]) ).
tcf(c_65607,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_63263,c_18917]) ).
tcf(c_65608,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_63263,c_1123]) ).
tcf(c_65612,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63263,c_3382]) ).
tcf(c_65613,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63263,c_2774]) ).
tcf(c_65614,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_63263,c_2721]) ).
tcf(c_65655,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_58591,c_56918]) ).
tcf(c_65657,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_58959,c_56936]) ).
tcf(c_65659,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_59529,c_56937]) ).
tcf(c_65661,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_59989,c_56939]) ).
tcf(c_65669,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_22,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_23,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_22,X0)) ),
inference(superposition,[status(thm)],[c_27928,c_38610]) ).
tcf(c_65670,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_22,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_23,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_22,X0)) ),
inference(superposition,[status(thm)],[c_27928,c_29598]) ).
tcf(c_65671,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_22,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_22,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_27928,c_6475]) ).
tcf(c_65672,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X1)
| ( sK0(iPr_def_22,X1) = X0 )
| ~ subq(iPr_def_23,p(X0))
| ~ subq(X0,sK0(iPr_def_22,X1)) ),
inference(superposition,[status(thm)],[c_27928,c_52]) ).
tcf(c_65673,plain,
! [X0: $i] :
( subq(iPr_def_22,p(X0))
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_27928,c_783]) ).
tcf(c_65674,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X0)
| subq(sK0(iPr_def_22,X0),X1)
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_27928,c_18912]) ).
tcf(c_65675,plain,
! [X0: $i] :
( subq(iPr_def_22,X0)
| ( sK0(iPr_def_22,X0) = e )
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_27928,c_1212]) ).
tcf(c_65676,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X0)
| subq(sK0(iPr_def_22,X0),p(X1))
| ~ subq(iPr_def_23,p(p(e))) ),
inference(superposition,[status(thm)],[c_27928,c_22959]) ).
tcf(c_65677,plain,
! [X0: $i] :
( subq(iPr_def_22,p(X0))
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_27928,c_21696]) ).
tcf(c_65718,plain,
! [X0: $i] : ~ mem(iPr_def_24,m(X0,iPr_def_25)),
inference(global_subsumption_just,[status(thm)],[c_65456,c_760,c_8748]) ).
tcf(c_65722,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_25,m(m(X0,iPr_def_25),X1)) = iPr_def_24,
inference(superposition,[status(thm)],[c_4868,c_65718]) ).
tcf(c_65724,plain,
~ mem(iPr_def_24,e),
inference(superposition,[status(thm)],[c_18771,c_65718]) ).
tcf(c_65731,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,m(X0,iPr_def_26))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_26),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_65505]) ).
tcf(c_65733,plain,
( subq(iPr_def_25,m(e,iPr_def_26))
| ~ mem(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_18771,c_65505]) ).
tcf(c_65742,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,m(X0,iPr_def_28))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_65605]) ).
tcf(c_65744,plain,
( subq(iPr_def_25,m(e,iPr_def_28))
| ~ mem(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_18771,c_65605]) ).
tcf(c_65752,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9835,c_38610]) ).
tcf(c_65753,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9835,c_29598]) ).
tcf(c_65754,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_14) = iPr_def_24 )
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_6475]) ).
tcf(c_65755,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 )
| ~ subq(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9835,c_52]) ).
tcf(c_65756,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_24891]) ).
tcf(c_65757,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_19752]) ).
tcf(c_65758,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_2817]) ).
tcf(c_65759,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| ( sK0(iPr_def_17,m(p(X0),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_1522]) ).
tcf(c_65760,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_17,m(p(e),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_24893]) ).
tcf(c_65761,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_17,m(p(e),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_19754]) ).
tcf(c_65762,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| ( sK0(iPr_def_17,m(p(e),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_18912]) ).
tcf(c_65763,plain,
! [X0: $i] :
( ( e = iPr_def_14 )
| ( sK0(iPr_def_17,m(p(e),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_1212]) ).
tcf(c_65764,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_14 )
| ( sK0(iPr_def_17,m(p(iPr_def_12),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_2098]) ).
tcf(c_65765,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( sK0(iPr_def_17,m(p(iPr_def_13),X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_2535]) ).
tcf(c_65766,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_17,m(p(p(X0)),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_62702]) ).
tcf(c_65767,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_17,m(p(p(X0)),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_45207]) ).
tcf(c_65768,plain,
! [X0: $i] : sK0(iPr_def_17,m(p(p(e)),X0)) = iPr_def_14,
inference(superposition,[status(thm)],[c_9835,c_52696]) ).
tcf(c_65825,plain,
! [X0: $i] :
( subq(iPr_def_25,m(X0,iPr_def_27))
| ~ mem(iPr_def_24,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_63264,c_49]) ).
tcf(c_65827,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_63264,c_18917]) ).
tcf(c_65828,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_63264,c_1123]) ).
tcf(c_65832,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63264,c_3382]) ).
tcf(c_65833,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63264,c_2774]) ).
tcf(c_65834,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_63264,c_2721]) ).
tcf(c_65854,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,m(X0,iPr_def_20))
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_63397,c_20550]) ).
tcf(c_65855,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_63397,c_49]) ).
tcf(c_65857,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_20))
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_63397,c_18917]) ).
tcf(c_65858,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_63397,c_1123]) ).
tcf(c_65864,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_20))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63397,c_26392]) ).
tcf(c_65865,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_20))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63397,c_3759]) ).
tcf(c_65866,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_20))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63397,c_3744]) ).
tcf(c_65867,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_20))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63397,c_3580]) ).
tcf(c_65868,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_20))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63397,c_3276]) ).
tcf(c_65869,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_63397,c_2601]) ).
tcf(c_65925,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,m(X0,iPr_def_21))
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_63400,c_20550]) ).
tcf(c_65926,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_63400,c_49]) ).
tcf(c_65928,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_21))
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_63400,c_18917]) ).
tcf(c_65929,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_63400,c_1123]) ).
tcf(c_65935,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_21))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63400,c_26392]) ).
tcf(c_65936,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_21))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63400,c_3759]) ).
tcf(c_65937,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_21))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63400,c_3744]) ).
tcf(c_65938,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_21))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63400,c_3580]) ).
tcf(c_65939,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_21))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63400,c_3276]) ).
tcf(c_65940,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_63400,c_2601]) ).
tcf(c_65974,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,m(X0,iPr_def_22))
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_63401,c_20550]) ).
tcf(c_65975,plain,
! [X0: $i] :
( subq(iPr_def_20,m(X0,iPr_def_22))
| ~ mem(iPr_def_19,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_63401,c_49]) ).
tcf(c_65977,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_63401,c_18917]) ).
tcf(c_65978,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_63401,c_1123]) ).
tcf(c_65984,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63401,c_26392]) ).
tcf(c_65985,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63401,c_3759]) ).
tcf(c_65986,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63401,c_3744]) ).
tcf(c_65987,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63401,c_3580]) ).
tcf(c_65988,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63401,c_3276]) ).
tcf(c_65989,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_22))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63401,c_2601]) ).
tcf(c_66034,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_61848,c_56938]) ).
tcf(c_66036,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_59985,c_40576,c_41219]) ).
tcf(c_66043,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ( iPr_def_12 = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(demodulation,[status(thm)],[c_59986,c_56939]) ).
tcf(c_66044,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_28))
| ~ mem(iPr_def_12,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(demodulation,[status(thm)],[c_59996,c_56939]) ).
tcf(c_66057,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_28))
| ( sK0(iPr_def_25,m(X1,X0)) = iPr_def_24 )
| ~ mem(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_1463,c_66044]) ).
tcf(c_66063,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X1)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X2,iPr_def_28))
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(demodulation,[status(thm)],[c_59994,c_56939]) ).
tcf(c_66089,plain,
! [X0: $i] :
( subq(iPr_def_19,e)
| subq(iPr_def_18,X0)
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_5197,c_28375]) ).
tcf(c_66090,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_5198,c_28375]) ).
tcf(c_66091,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| subq(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_5205,c_28375]) ).
tcf(c_66092,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_26245,c_28375]) ).
tcf(c_66093,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_24,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_28375,c_38610]) ).
tcf(c_66094,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_19,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_24,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_28375,c_29598]) ).
tcf(c_66095,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_19,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_19,X1)) = iPr_def_24 )
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_28375,c_6475]) ).
tcf(c_66096,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_24,p(X0))
| ~ subq(X0,sK0(iPr_def_19,X1)) ),
inference(superposition,[status(thm)],[c_28375,c_52]) ).
tcf(c_66097,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_28375,c_783]) ).
tcf(c_66098,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(sK0(iPr_def_19,X0),X1)
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_28375,c_18912]) ).
tcf(c_66099,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_28375,c_1212]) ).
tcf(c_66100,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(sK0(iPr_def_19,X0),p(X1))
| ~ subq(iPr_def_24,p(p(e))) ),
inference(superposition,[status(thm)],[c_28375,c_22959]) ).
tcf(c_66101,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_28375,c_21696]) ).
tcf(c_66246,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,m(X0,iPr_def_27))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_27),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4868,c_65825]) ).
tcf(c_66248,plain,
( subq(iPr_def_25,m(e,iPr_def_27))
| ~ mem(iPr_def_24,e) ),
inference(superposition,[status(thm)],[c_18771,c_65825]) ).
tcf(c_66252,plain,
! [X0: $i] : ~ mem(iPr_def_19,m(X0,iPr_def_20)),
inference(global_subsumption_just,[status(thm)],[c_65855,c_759,c_8595]) ).
tcf(c_66256,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_20,m(m(X0,iPr_def_20),X1)) = iPr_def_19,
inference(superposition,[status(thm)],[c_5050,c_66252]) ).
tcf(c_66258,plain,
~ mem(iPr_def_19,e),
inference(superposition,[status(thm)],[c_18771,c_66252]) ).
tcf(c_66265,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_5050,c_65926]) ).
tcf(c_66267,plain,
( subq(iPr_def_20,m(e,iPr_def_21))
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_18771,c_65926]) ).
tcf(c_66276,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,m(X0,iPr_def_22))
| ( sK0(iPr_def_20,m(m(X0,iPr_def_22),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_65975]) ).
tcf(c_66278,plain,
( subq(iPr_def_20,m(e,iPr_def_22))
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_18771,c_65975]) ).
tcf(c_66283,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,m(X0,iPr_def_23))
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_63402,c_20550]) ).
tcf(c_66284,plain,
! [X0: $i] :
( subq(iPr_def_20,m(X0,iPr_def_23))
| ~ mem(iPr_def_19,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_63402,c_49]) ).
tcf(c_66286,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_63402,c_18917]) ).
tcf(c_66287,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_63402,c_1123]) ).
tcf(c_66293,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63402,c_26392]) ).
tcf(c_66294,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63402,c_3759]) ).
tcf(c_66295,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63402,c_3744]) ).
tcf(c_66296,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63402,c_3580]) ).
tcf(c_66297,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63402,c_3276]) ).
tcf(c_66298,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_23))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63402,c_2601]) ).
tcf(c_66381,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,m(X0,iPr_def_28))
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_63403,c_20550]) ).
tcf(c_66382,plain,
! [X0: $i] :
( subq(iPr_def_20,m(X0,iPr_def_28))
| ~ mem(iPr_def_19,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_63403,c_49]) ).
tcf(c_66384,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_63403,c_18917]) ).
tcf(c_66385,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_63403,c_1123]) ).
tcf(c_66391,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63403,c_26392]) ).
tcf(c_66392,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63403,c_3759]) ).
tcf(c_66393,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63403,c_3744]) ).
tcf(c_66394,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63403,c_3580]) ).
tcf(c_66395,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63403,c_3276]) ).
tcf(c_66396,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_28))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63403,c_2601]) ).
tcf(c_66466,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| subq(iPr_def_20,m(X0,iPr_def_27))
| ~ subq(iPr_def_20,p(e)) ),
inference(superposition,[status(thm)],[c_63404,c_20550]) ).
tcf(c_66467,plain,
! [X0: $i] :
( subq(iPr_def_20,m(X0,iPr_def_27))
| ~ mem(iPr_def_19,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_63404,c_49]) ).
tcf(c_66469,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_20,p(X0)) ),
inference(superposition,[status(thm)],[c_63404,c_18917]) ).
tcf(c_66470,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_20,X0) ),
inference(superposition,[status(thm)],[c_63404,c_1123]) ).
tcf(c_66476,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63404,c_26392]) ).
tcf(c_66477,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63404,c_3759]) ).
tcf(c_66478,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63404,c_3744]) ).
tcf(c_66479,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63404,c_3580]) ).
tcf(c_66480,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63404,c_3276]) ).
tcf(c_66481,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_19,X0)
| subq(iPr_def_20,m(X1,iPr_def_27))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63404,c_2601]) ).
tcf(c_66711,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_19))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63478,c_20550]) ).
tcf(c_66712,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_19))
| ~ mem(iPr_def_18,m(X0,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_63478,c_49]) ).
tcf(c_66720,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63478,c_18917]) ).
tcf(c_66721,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63478,c_1123]) ).
tcf(c_66722,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63478,c_28375]) ).
tcf(c_66723,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63478,c_3729]) ).
tcf(c_66724,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63478,c_3715]) ).
tcf(c_66725,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63478,c_3460]) ).
tcf(c_66726,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63478,c_20704]) ).
tcf(c_66727,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63478,c_3006]) ).
tcf(c_66728,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63478,c_2707]) ).
tcf(c_66729,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63478,c_2184]) ).
tcf(c_66768,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,X0) ),
inference(demodulation,[status(thm)],[c_59982,c_56939]) ).
tcf(c_66784,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_782,c_66768]) ).
tcf(c_66785,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_66768]) ).
tcf(c_66789,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| subq(iPr_def_13,m(X0,iPr_def_28))
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29907,c_66768]) ).
tcf(c_66827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X2)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_64276]) ).
tcf(c_66831,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29907,c_64276]) ).
tcf(c_66850,plain,
! [X0: $i] :
( subq(iPr_def_25,e)
| subq(iPr_def_24,X0)
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_4864,c_28625]) ).
tcf(c_66851,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_4865,c_28625]) ).
tcf(c_66852,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| subq(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_4872,c_28625]) ).
tcf(c_66853,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_13358,c_28625]) ).
tcf(c_66854,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_63262,c_28625]) ).
tcf(c_66855,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_63264,c_28625]) ).
tcf(c_66856,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_63263,c_28625]) ).
tcf(c_66857,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_63259,c_28625]) ).
tcf(c_66858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_28625]) ).
tcf(c_66859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_28625]) ).
tcf(c_66860,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_26,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_28625,c_38610]) ).
tcf(c_66861,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_25,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_26,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_28625,c_29598]) ).
tcf(c_66862,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_25,X1)) = iPr_def_24 )
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_28625,c_6475]) ).
tcf(c_66863,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,X1) = X0 )
| ~ subq(iPr_def_26,p(X0))
| ~ subq(X0,sK0(iPr_def_25,X1)) ),
inference(superposition,[status(thm)],[c_28625,c_52]) ).
tcf(c_66864,plain,
! [X0: $i] :
( subq(iPr_def_25,p(X0))
| ~ subq(iPr_def_26,p(X0)) ),
inference(superposition,[status(thm)],[c_28625,c_783]) ).
tcf(c_66865,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X0)
| subq(sK0(iPr_def_25,X0),X1)
| ~ subq(iPr_def_26,p(e)) ),
inference(superposition,[status(thm)],[c_28625,c_18912]) ).
tcf(c_66866,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = e )
| ~ subq(iPr_def_26,p(e)) ),
inference(superposition,[status(thm)],[c_28625,c_1212]) ).
tcf(c_66867,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X0)
| subq(sK0(iPr_def_25,X0),p(X1))
| ~ subq(iPr_def_26,p(p(e))) ),
inference(superposition,[status(thm)],[c_28625,c_22959]) ).
tcf(c_66868,plain,
! [X0: $i] :
( subq(iPr_def_25,p(X0))
| ~ subq(iPr_def_26,p(e)) ),
inference(superposition,[status(thm)],[c_28625,c_21696]) ).
tcf(c_66873,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| ~ subq(iPr_def_26,p(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66850,c_40574]) ).
tcf(c_67087,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,m(X0,iPr_def_23))
| ( sK0(iPr_def_20,m(m(X0,iPr_def_23),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_66284]) ).
tcf(c_67089,plain,
( subq(iPr_def_20,m(e,iPr_def_23))
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_18771,c_66284]) ).
tcf(c_67098,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,m(X0,iPr_def_28))
| ( sK0(iPr_def_20,m(m(X0,iPr_def_28),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_66382]) ).
tcf(c_67100,plain,
( subq(iPr_def_20,m(e,iPr_def_28))
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_18771,c_66382]) ).
tcf(c_67109,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,m(X0,iPr_def_27))
| ( sK0(iPr_def_20,m(m(X0,iPr_def_27),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_5050,c_66467]) ).
tcf(c_67111,plain,
( subq(iPr_def_20,m(e,iPr_def_27))
| ~ mem(iPr_def_19,e) ),
inference(superposition,[status(thm)],[c_18771,c_66467]) ).
tcf(c_67115,plain,
! [X0: $i] : ~ mem(iPr_def_18,m(X0,iPr_def_19)),
inference(global_subsumption_just,[status(thm)],[c_66712,c_758,c_8327]) ).
tcf(c_67119,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_19,m(m(X0,iPr_def_19),X1)) = iPr_def_18,
inference(superposition,[status(thm)],[c_5201,c_67115]) ).
tcf(c_67121,plain,
~ mem(iPr_def_18,e),
inference(superposition,[status(thm)],[c_18771,c_67115]) ).
tcf(c_67124,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_21))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63479,c_20550]) ).
tcf(c_67125,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_21))
| ~ mem(iPr_def_18,m(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_63479,c_49]) ).
tcf(c_67133,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63479,c_18917]) ).
tcf(c_67134,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63479,c_1123]) ).
tcf(c_67135,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63479,c_28375]) ).
tcf(c_67136,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63479,c_3729]) ).
tcf(c_67137,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63479,c_3715]) ).
tcf(c_67138,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63479,c_3460]) ).
tcf(c_67139,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63479,c_20704]) ).
tcf(c_67140,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63479,c_3006]) ).
tcf(c_67141,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63479,c_2707]) ).
tcf(c_67142,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63479,c_2184]) ).
tcf(c_67182,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_22))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63482,c_20550]) ).
tcf(c_67183,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_22))
| ~ mem(iPr_def_18,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_63482,c_49]) ).
tcf(c_67191,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63482,c_18917]) ).
tcf(c_67192,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63482,c_1123]) ).
tcf(c_67193,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63482,c_28375]) ).
tcf(c_67194,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63482,c_3729]) ).
tcf(c_67195,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63482,c_3715]) ).
tcf(c_67196,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63482,c_3460]) ).
tcf(c_67197,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63482,c_20704]) ).
tcf(c_67198,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63482,c_3006]) ).
tcf(c_67199,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63482,c_2707]) ).
tcf(c_67200,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63482,c_2184]) ).
tcf(c_67240,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_23))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63483,c_20550]) ).
tcf(c_67241,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_23))
| ~ mem(iPr_def_18,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_63483,c_49]) ).
tcf(c_67249,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63483,c_18917]) ).
tcf(c_67250,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63483,c_1123]) ).
tcf(c_67251,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63483,c_28375]) ).
tcf(c_67252,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63483,c_3729]) ).
tcf(c_67253,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63483,c_3715]) ).
tcf(c_67254,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63483,c_3460]) ).
tcf(c_67255,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63483,c_20704]) ).
tcf(c_67256,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63483,c_3006]) ).
tcf(c_67257,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63483,c_2707]) ).
tcf(c_67258,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63483,c_2184]) ).
tcf(c_67298,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_28))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63484,c_20550]) ).
tcf(c_67299,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_28))
| ~ mem(iPr_def_18,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_63484,c_49]) ).
tcf(c_67307,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63484,c_18917]) ).
tcf(c_67308,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63484,c_1123]) ).
tcf(c_67309,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63484,c_28375]) ).
tcf(c_67310,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63484,c_3729]) ).
tcf(c_67311,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63484,c_3715]) ).
tcf(c_67312,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63484,c_3460]) ).
tcf(c_67313,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63484,c_20704]) ).
tcf(c_67314,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63484,c_3006]) ).
tcf(c_67315,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63484,c_2707]) ).
tcf(c_67316,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63484,c_2184]) ).
tcf(c_67388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X5,iPr_def_23))
| ( sK0(iPr_def_25,m(X3,u(iPr_def_28,X4))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56953,c_64633]) ).
tcf(c_67389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X5,iPr_def_23))
| ( sK0(iPr_def_25,m(X3,u(iPr_def_28,X4))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56948,c_64633]) ).
tcf(c_67390,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(e,iPr_def_23))
| mem(sK0(iPr_def_13,e),X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_18771,c_64633]) ).
tcf(c_67391,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_64633,c_49]) ).
tcf(c_67392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X1)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_64633,c_51]) ).
tcf(c_67394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_13,m(X3,iPr_def_23)) = X0 )
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_64633,c_55]) ).
tcf(c_67395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X1)
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_64633,c_58]) ).
tcf(c_67396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(X3,u(iPr_def_28,X4))) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X2,X1))
| ~ mem(sK0(iPr_def_13,m(X0,iPr_def_23)),X1) ),
inference(superposition,[status(thm)],[c_64633,c_61]) ).
tcf(c_67397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_64633,c_60]) ).
tcf(c_67398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| subq(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_64633,c_63]) ).
tcf(c_67399,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_15)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_64633,c_2826]) ).
tcf(c_67400,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_64633,c_2825]) ).
tcf(c_67401,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = e )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_64633,c_793]) ).
tcf(c_67402,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_10 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_64633,c_2828]) ).
tcf(c_67403,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_64633,c_936]) ).
tcf(c_67404,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_14)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_64633,c_881]) ).
tcf(c_67405,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_14)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_64633,c_934]) ).
tcf(c_67406,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_64633,c_888]) ).
tcf(c_67409,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_15 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_64633,c_796]) ).
tcf(c_67410,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_22)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_64633,c_885]) ).
tcf(c_67411,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_14 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_64633,c_797]) ).
tcf(c_67412,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_18 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_64633,c_798]) ).
tcf(c_67413,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_24)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_64633,c_940]) ).
tcf(c_67414,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_64633,c_884]) ).
tcf(c_67415,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_19 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_64633,c_799]) ).
tcf(c_67416,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_64633,c_937]) ).
tcf(c_67417,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_64633,c_800]) ).
tcf(c_67418,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_28)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_64633,c_943]) ).
tcf(c_67419,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_64633,c_941]) ).
tcf(c_67420,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_13)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_12)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_64633,c_1247]) ).
tcf(c_67421,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_15)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_64633,c_935]) ).
tcf(c_67422,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_14)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_10)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_64633,c_2900]) ).
tcf(c_67423,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_10)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_64633,c_2891]) ).
tcf(c_67424,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_24)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_64633,c_887]) ).
tcf(c_67425,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_20)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_19)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_64633,c_1250]) ).
tcf(c_67426,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_22)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_64633,c_938]) ).
tcf(c_67427,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_17)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_64633,c_1251]) ).
tcf(c_67430,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_28)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_64633,c_890]) ).
tcf(c_67431,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_27)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_64633,c_889]) ).
tcf(c_67432,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_64633,c_1253]) ).
tcf(c_67433,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_25)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_13)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_64633,c_1254]) ).
tcf(c_67434,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_27)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_64633,c_942]) ).
tcf(c_67435,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_64633,c_1255]) ).
tcf(c_67436,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_25)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_64633,c_1256]) ).
tcf(c_67437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_64633,c_38614]) ).
tcf(c_67442,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(e,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_67390,c_4207]) ).
tcf(c_67609,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_25)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67436,c_2458]) ).
tcf(c_67615,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67435,c_2438]) ).
tcf(c_67784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X2)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,X2) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_64710]) ).
tcf(c_67788,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29907,c_64710]) ).
tcf(c_67825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X5,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X3,iPr_def_28),X4)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_56953,c_65023]) ).
tcf(c_67827,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(e,iPr_def_23))
| mem(sK0(iPr_def_13,e),X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_18771,c_65023]) ).
tcf(c_67828,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_65023,c_49]) ).
tcf(c_67829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X1)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_65023,c_51]) ).
tcf(c_67831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_13,m(X3,iPr_def_23)) = X0 )
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_65023,c_55]) ).
tcf(c_67832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X1)
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_65023,c_58]) ).
tcf(c_67833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X0,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X3,iPr_def_28),X4)) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X2,X1))
| ~ mem(sK0(iPr_def_13,m(X0,iPr_def_23)),X1) ),
inference(superposition,[status(thm)],[c_65023,c_61]) ).
tcf(c_67834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_65023,c_60]) ).
tcf(c_67835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| subq(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_65023,c_63]) ).
tcf(c_67836,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_15)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_65023,c_2826]) ).
tcf(c_67837,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_65023,c_2825]) ).
tcf(c_67838,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = e )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_65023,c_793]) ).
tcf(c_67839,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_10 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_65023,c_2828]) ).
tcf(c_67840,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_65023,c_936]) ).
tcf(c_67841,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_14)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_65023,c_881]) ).
tcf(c_67842,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_14)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_65023,c_934]) ).
tcf(c_67843,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_65023,c_888]) ).
tcf(c_67846,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_15 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_65023,c_796]) ).
tcf(c_67847,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_22)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_65023,c_885]) ).
tcf(c_67848,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_14 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_65023,c_797]) ).
tcf(c_67849,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_18 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_65023,c_798]) ).
tcf(c_67850,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_24)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_65023,c_940]) ).
tcf(c_67851,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_65023,c_884]) ).
tcf(c_67852,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_19 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_65023,c_799]) ).
tcf(c_67853,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_65023,c_937]) ).
tcf(c_67854,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| ( sK0(iPr_def_13,m(X2,iPr_def_23)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_65023,c_800]) ).
tcf(c_67855,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_28)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_65023,c_943]) ).
tcf(c_67856,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_65023,c_941]) ).
tcf(c_67857,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_13)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_12)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_65023,c_1247]) ).
tcf(c_67858,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_15)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_65023,c_935]) ).
tcf(c_67859,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_14)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_10)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_65023,c_2900]) ).
tcf(c_67860,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_12)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_10)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_65023,c_2891]) ).
tcf(c_67861,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_24)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_65023,c_887]) ).
tcf(c_67862,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_20)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_19)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_65023,c_1250]) ).
tcf(c_67863,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_22)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_65023,c_938]) ).
tcf(c_67864,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_17)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_65023,c_1251]) ).
tcf(c_67867,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_28)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_65023,c_890]) ).
tcf(c_67868,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_27)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_65023,c_889]) ).
tcf(c_67869,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_19)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_18)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_65023,c_1253]) ).
tcf(c_67870,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_25)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_13)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_65023,c_1254]) ).
tcf(c_67871,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_27)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_65023,c_942]) ).
tcf(c_67872,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_65023,c_1255]) ).
tcf(c_67873,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_25)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_65023,c_1256]) ).
tcf(c_67874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_65023,c_38614]) ).
tcf(c_67879,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,X0)
| subq(iPr_def_13,m(e,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(light_normalisation,[status(thm)],[c_67827,c_4207]) ).
tcf(c_68040,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_25)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67873,c_2458]) ).
tcf(c_68046,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_26)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67872,c_2438]) ).
tcf(c_68233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56953,c_64634]) ).
tcf(c_68234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X2,u(iPr_def_28,X3))) = iPr_def_24 )
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56948,c_64634]) ).
tcf(c_68235,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(sK0(iPr_def_13,e),iPr_def_22)
| subq(iPr_def_13,m(e,iPr_def_23))
| mem(sK0(iPr_def_13,m(e,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18771,c_64634]) ).
tcf(c_68236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_64634,c_51]) ).
tcf(c_68237,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_17)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64634,c_1251]) ).
tcf(c_68238,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64634,c_939]) ).
tcf(c_68239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_64634,c_38614]) ).
tcf(c_68240,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(e,iPr_def_23))
| mem(sK0(iPr_def_13,m(e,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_68235,c_4207]) ).
tcf(c_68322,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_27,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_26,X0)) ),
inference(superposition,[status(thm)],[c_29002,c_38610]) ).
tcf(c_68323,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_27,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_26,X0)) ),
inference(superposition,[status(thm)],[c_29002,c_29598]) ).
tcf(c_68324,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_26,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_26,X1)) = iPr_def_24 )
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_29002,c_6475]) ).
tcf(c_68325,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| ( sK0(iPr_def_26,X1) = X0 )
| ~ subq(iPr_def_27,p(X0))
| ~ subq(X0,sK0(iPr_def_26,X1)) ),
inference(superposition,[status(thm)],[c_29002,c_52]) ).
tcf(c_68326,plain,
! [X0: $i] :
( subq(iPr_def_26,p(X0))
| ~ subq(iPr_def_27,p(X0)) ),
inference(superposition,[status(thm)],[c_29002,c_783]) ).
tcf(c_68327,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| subq(sK0(iPr_def_26,X0),X1)
| ~ subq(iPr_def_27,p(e)) ),
inference(superposition,[status(thm)],[c_29002,c_18912]) ).
tcf(c_68328,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| ( sK0(iPr_def_26,X0) = e )
| ~ subq(iPr_def_27,p(e)) ),
inference(superposition,[status(thm)],[c_29002,c_1212]) ).
tcf(c_68329,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| subq(sK0(iPr_def_26,X0),p(X1))
| ~ subq(iPr_def_27,p(p(e))) ),
inference(superposition,[status(thm)],[c_29002,c_22959]) ).
tcf(c_68330,plain,
! [X0: $i] :
( subq(iPr_def_26,p(X0))
| ~ subq(iPr_def_27,p(e)) ),
inference(superposition,[status(thm)],[c_29002,c_21696]) ).
tcf(c_68407,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(X0,iPr_def_21))
| ( sK0(iPr_def_19,m(m(X0,iPr_def_21),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_67125]) ).
tcf(c_68409,plain,
( subq(iPr_def_19,m(e,iPr_def_21))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_18771,c_67125]) ).
tcf(c_68418,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(X0,iPr_def_22))
| ( sK0(iPr_def_19,m(m(X0,iPr_def_22),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_67183]) ).
tcf(c_68420,plain,
( subq(iPr_def_19,m(e,iPr_def_22))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_18771,c_67183]) ).
tcf(c_68429,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(X0,iPr_def_23))
| ( sK0(iPr_def_19,m(m(X0,iPr_def_23),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_67241]) ).
tcf(c_68431,plain,
( subq(iPr_def_19,m(e,iPr_def_23))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_18771,c_67241]) ).
tcf(c_68440,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(X0,iPr_def_28))
| ( sK0(iPr_def_19,m(m(X0,iPr_def_28),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_67299]) ).
tcf(c_68442,plain,
( subq(iPr_def_19,m(e,iPr_def_28))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_18771,c_67299]) ).
tcf(c_68478,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_27))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63485,c_20550]) ).
tcf(c_68479,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_27))
| ~ mem(iPr_def_18,m(X0,iPr_def_27)) ),
inference(superposition,[status(thm)],[c_63485,c_49]) ).
tcf(c_68487,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63485,c_18917]) ).
tcf(c_68488,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63485,c_1123]) ).
tcf(c_68489,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63485,c_28375]) ).
tcf(c_68490,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63485,c_3729]) ).
tcf(c_68491,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63485,c_3715]) ).
tcf(c_68492,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63485,c_3460]) ).
tcf(c_68493,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63485,c_20704]) ).
tcf(c_68494,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63485,c_3006]) ).
tcf(c_68495,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63485,c_2707]) ).
tcf(c_68496,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63485,c_2184]) ).
tcf(c_68600,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X1)
| subq(iPr_def_19,m(X0,iPr_def_24))
| ~ subq(iPr_def_19,p(e)) ),
inference(superposition,[status(thm)],[c_63486,c_20550]) ).
tcf(c_68601,plain,
! [X0: $i] :
( subq(iPr_def_19,m(X0,iPr_def_24))
| ~ mem(iPr_def_18,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_63486,c_49]) ).
tcf(c_68609,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_19,p(X0)) ),
inference(superposition,[status(thm)],[c_63486,c_18917]) ).
tcf(c_68610,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_19,X0) ),
inference(superposition,[status(thm)],[c_63486,c_1123]) ).
tcf(c_68611,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_63486,c_28375]) ).
tcf(c_68612,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_63486,c_3729]) ).
tcf(c_68613,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_63486,c_3715]) ).
tcf(c_68614,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_63486,c_3460]) ).
tcf(c_68615,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_21,p(X0)) ),
inference(superposition,[status(thm)],[c_63486,c_20704]) ).
tcf(c_68616,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_63486,c_3006]) ).
tcf(c_68617,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_63486,c_2707]) ).
tcf(c_68618,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_63486,c_2184]) ).
tcf(c_68665,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_25230,c_51]) ).
tcf(c_68667,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_10) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_24)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_25230,c_5049]) ).
tcf(c_68684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(X4,iPr_def_23))
| mem(sK0(iPr_def_13,m(X4,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X2,iPr_def_28),X3)) = iPr_def_24 )
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56953,c_65024]) ).
tcf(c_68686,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(sK0(iPr_def_13,e),iPr_def_22)
| subq(iPr_def_13,m(e,iPr_def_23))
| mem(sK0(iPr_def_13,m(e,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18771,c_65024]) ).
tcf(c_68687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),X0)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_65024,c_51]) ).
tcf(c_68688,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_21)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_17)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_65024,c_1251]) ).
tcf(c_68689,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_65024,c_939]) ).
tcf(c_68690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,iPr_def_25)
| subq(iPr_def_13,m(X3,iPr_def_23))
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_23)
| mem(sK0(iPr_def_13,m(X3,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_25,m(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_65024,c_38614]) ).
tcf(c_68691,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_25)
| mem(iPr_def_12,iPr_def_22)
| subq(iPr_def_13,m(e,iPr_def_23))
| mem(sK0(iPr_def_13,m(e,iPr_def_23)),iPr_def_16)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_68686,c_4207]) ).
tcf(c_68808,plain,
! [X0: $i] :
( subq(iPr_def_25,e)
| subq(iPr_def_24,X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_4864,c_29946]) ).
tcf(c_68809,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,s(X1))
| ( X1 = iPr_def_24 )
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_4865,c_29946]) ).
tcf(c_68810,plain,
! [X0: $i] :
( subq(iPr_def_25,iPr_def_10)
| subq(iPr_def_24,X0)
| ( e = iPr_def_24 )
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_4872,c_29946]) ).
tcf(c_68811,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,p(e))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_13358,c_29946]) ).
tcf(c_68812,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_26))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_63262,c_29946]) ).
tcf(c_68813,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_63264,c_29946]) ).
tcf(c_68814,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_63263,c_29946]) ).
tcf(c_68815,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X1,iPr_def_25))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_63259,c_29946]) ).
tcf(c_68816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(m(X2,iPr_def_28),X3))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_56953,c_29946]) ).
tcf(c_68817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(iPr_def_24,X0)
| subq(iPr_def_25,m(X2,u(iPr_def_28,X3)))
| ( sK0(iPr_def_13,m(X1,iPr_def_23)) = iPr_def_12 )
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_56948,c_29946]) ).
tcf(c_68818,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_25,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_28,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_29946,c_38610]) ).
tcf(c_68819,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_25,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_28,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_29946,c_29598]) ).
tcf(c_68820,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_25,X1)) = iPr_def_24 )
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_29946,c_6475]) ).
tcf(c_68821,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X1)
| ( sK0(iPr_def_25,X1) = X0 )
| ~ subq(iPr_def_28,p(X0))
| ~ subq(X0,sK0(iPr_def_25,X1)) ),
inference(superposition,[status(thm)],[c_29946,c_52]) ).
tcf(c_68822,plain,
! [X0: $i] :
( subq(iPr_def_25,p(X0))
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_29946,c_783]) ).
tcf(c_68823,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X0)
| subq(sK0(iPr_def_25,X0),X1)
| ~ subq(iPr_def_28,p(e)) ),
inference(superposition,[status(thm)],[c_29946,c_18912]) ).
tcf(c_68824,plain,
! [X0: $i] :
( subq(iPr_def_25,X0)
| ( sK0(iPr_def_25,X0) = e )
| ~ subq(iPr_def_28,p(e)) ),
inference(superposition,[status(thm)],[c_29946,c_1212]) ).
tcf(c_68825,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X0)
| subq(sK0(iPr_def_25,X0),p(X1))
| ~ subq(iPr_def_28,p(p(e))) ),
inference(superposition,[status(thm)],[c_29946,c_22959]) ).
tcf(c_68826,plain,
! [X0: $i] :
( subq(iPr_def_25,p(X0))
| ~ subq(iPr_def_28,p(e)) ),
inference(superposition,[status(thm)],[c_29946,c_21696]) ).
tcf(c_68831,plain,
! [X0: $i] :
( subq(iPr_def_24,X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68808,c_40574]) ).
tcf(c_68986,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(X0,iPr_def_27))
| ( sK0(iPr_def_19,m(m(X0,iPr_def_27),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_68479]) ).
tcf(c_68988,plain,
( subq(iPr_def_19,m(e,iPr_def_27))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_18771,c_68479]) ).
tcf(c_68997,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,m(X0,iPr_def_24))
| ( sK0(iPr_def_19,m(m(X0,iPr_def_24),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5201,c_68601]) ).
tcf(c_68999,plain,
( subq(iPr_def_19,m(e,iPr_def_24))
| ~ mem(iPr_def_18,e) ),
inference(superposition,[status(thm)],[c_18771,c_68601]) ).
tcf(c_69007,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_10528,c_38610]) ).
tcf(c_69008,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_10528,c_29598]) ).
tcf(c_69009,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_24) = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_6475]) ).
tcf(c_69010,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 )
| ~ subq(X0,iPr_def_24) ),
inference(superposition,[status(thm)],[c_10528,c_52]) ).
tcf(c_69013,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_41219]) ).
tcf(c_69014,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_31787]) ).
tcf(c_69015,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_28368]) ).
tcf(c_69016,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_23017]) ).
tcf(c_69017,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_7103]) ).
tcf(c_69018,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_2812]) ).
tcf(c_69019,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_1757]) ).
tcf(c_69020,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK0(iPr_def_25,m(p(X0),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_1411]) ).
tcf(c_69022,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(iPr_def_18),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_2321]) ).
tcf(c_69023,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(iPr_def_19),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_2712]) ).
tcf(c_69024,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(iPr_def_10),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_2997]) ).
tcf(c_69025,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(iPr_def_12),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_3228]) ).
tcf(c_69026,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_24,p(X1))
| ( sK0(iPr_def_25,m(p(p(e)),X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_22959]) ).
tcf(c_69103,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_11888,c_38610]) ).
tcf(c_69104,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_11888,c_29598]) ).
tcf(c_69105,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 )
| ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11888,c_6475]) ).
tcf(c_69106,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_11888,c_52]) ).
tcf(c_69107,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_20,m(p(X0),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11888,c_1133]) ).
tcf(c_69108,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_20,m(p(e),X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11888,c_18912]) ).
tcf(c_69109,plain,
! [X0: $i] :
( ( e = iPr_def_19 )
| ( sK0(iPr_def_20,m(p(e),X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11888,c_1212]) ).
tcf(c_69110,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| ( sK0(iPr_def_20,m(p(p(X0)),X1)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11888,c_63006]) ).
tcf(c_69111,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,p(X1))
| ( sK0(iPr_def_20,m(p(p(e)),X0)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11888,c_22959]) ).
tcf(c_69208,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_25259,c_51]) ).
tcf(c_69210,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_24)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_25259,c_5049]) ).
tcf(c_69221,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_26648,c_51]) ).
tcf(c_69222,plain,
( mem(iPr_def_19,iPr_def_14)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26648,c_2900]) ).
tcf(c_69223,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_26648,c_5049]) ).
tcf(c_69237,plain,
! [X0: $i] :
( mem(iPr_def_19,X0)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_26675,c_51]) ).
tcf(c_69238,plain,
( mem(iPr_def_19,iPr_def_14)
| mem(iPr_def_19,iPr_def_10)
| ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26675,c_2900]) ).
tcf(c_69239,plain,
! [X0: $i] :
( ( sK0(iPr_def_20,iPr_def_13) = iPr_def_19 )
| ( sK0(iPr_def_20,m(X0,iPr_def_15)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26675,c_5049]) ).
tcf(c_69283,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_30637,c_51]) ).
tcf(c_69284,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_30637,c_2900]) ).
tcf(c_69285,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_25,m(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_30637,c_29602]) ).
tcf(c_69344,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_30640,c_51]) ).
tcf(c_69345,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_19)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_30640,c_1253]) ).
tcf(c_69346,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_25,m(X0,iPr_def_24)) ),
inference(superposition,[status(thm)],[c_30640,c_29602]) ).
tcf(c_69370,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_25)
| subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_23,p(X0))
| ~ subq(iPr_def_25,sK0(iPr_def_26,iPr_def_25)) ),
inference(superposition,[status(thm)],[c_30396,c_38610]) ).
tcf(c_69371,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_25)
| subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_23,p(X0))
| ~ subq(iPr_def_25,sK0(iPr_def_26,iPr_def_25)) ),
inference(superposition,[status(thm)],[c_30396,c_29598]) ).
tcf(c_69372,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_26,iPr_def_25)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,sK0(iPr_def_26,iPr_def_25)) = iPr_def_24 )
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_30396,c_6475]) ).
tcf(c_69373,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = X0 )
| ~ subq(iPr_def_23,p(X0))
| ~ subq(X0,sK0(iPr_def_26,iPr_def_25)) ),
inference(superposition,[status(thm)],[c_30396,c_52]) ).
tcf(c_69374,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| subq(sK0(iPr_def_26,iPr_def_25),X0)
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_30396,c_18912]) ).
tcf(c_69375,plain,
( subq(iPr_def_26,iPr_def_25)
| ( sK0(iPr_def_26,iPr_def_25) = e )
| ~ subq(iPr_def_23,p(e)) ),
inference(superposition,[status(thm)],[c_30396,c_1212]) ).
tcf(c_69376,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| subq(sK0(iPr_def_26,iPr_def_25),p(X0))
| ~ subq(iPr_def_23,p(p(e))) ),
inference(superposition,[status(thm)],[c_30396,c_22959]) ).
tcf(c_69415,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_12171,c_38610]) ).
tcf(c_69416,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_12171,c_29598]) ).
tcf(c_69417,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 )
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_6475]) ).
tcf(c_69418,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_18 )
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 )
| ~ subq(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_12171,c_52]) ).
tcf(c_69419,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_37717]) ).
tcf(c_69420,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_25835]) ).
tcf(c_69421,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_10,X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_2813]) ).
tcf(c_69422,plain,
! [X0: $i,X1: $i] :
( mem(e,X0)
| ( sK0(iPr_def_19,m(p(X0),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_1401]) ).
tcf(c_69423,plain,
! [X0: $i] : sK0(iPr_def_19,m(p(e),X0)) = iPr_def_18,
inference(superposition,[status(thm)],[c_12171,c_26243]) ).
tcf(c_69426,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_18 )
| ( sK0(iPr_def_19,m(p(iPr_def_12),X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_2592]) ).
tcf(c_69427,plain,
! [X0: $i] :
( ( iPr_def_10 = iPr_def_18 )
| ( sK0(iPr_def_19,m(p(iPr_def_10),X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_2859]) ).
tcf(c_69428,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,p(X1))
| ( sK0(iPr_def_19,m(p(p(e)),X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_22959]) ).
tcf(c_69546,plain,
! [X0: $i,X1: $i] :
( ( m(s(X0),X1) = s(X0) )
| ( sK0(s(X0),m(s(X0),X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_791,c_18770]) ).
tcf(c_69547,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_7996,c_18770]) ).
tcf(c_69548,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_4081,c_18770]) ).
tcf(c_69549,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_831,c_18770]) ).
tcf(c_69550,plain,
! [X0: $i,X1: $i] :
( ( m(iPr_def_12,X0) = iPr_def_12 )
| ( sK0(iPr_def_13,m(p(m(iPr_def_12,X0)),X1)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9092,c_18770]) ).
tcf(c_69551,plain,
! [X0: $i] :
( ( m(iPr_def_12,X0) = iPr_def_12 )
| ( sK0(iPr_def_13,p(m(iPr_def_12,X0))) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4212,c_18770]) ).
tcf(c_69552,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_2819,c_18770]) ).
tcf(c_69553,plain,
! [X0: $i] :
( ( m(iPr_def_13,X0) = iPr_def_13 )
| ( sK0(iPr_def_13,m(iPr_def_13,X0)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_849,c_18770]) ).
tcf(c_69554,plain,
! [X0: $i] :
( ( m(iPr_def_16,X0) = iPr_def_16 )
| ( sK0(iPr_def_16,m(iPr_def_16,X0)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_858,c_18770]) ).
tcf(c_69555,plain,
! [X0: $i] :
( ( m(iPr_def_17,X0) = iPr_def_17 )
| ( sK0(iPr_def_17,m(iPr_def_17,X0)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_867,c_18770]) ).
tcf(c_69556,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_11888,c_18770]) ).
tcf(c_69557,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_5051,c_18770]) ).
tcf(c_69558,plain,
! [X0: $i] :
( ( m(iPr_def_19,X0) = iPr_def_19 )
| ( sK0(iPr_def_19,m(iPr_def_19,X0)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1469,c_18770]) ).
tcf(c_69559,plain,
! [X0: $i,X1: $i] :
( ( m(iPr_def_18,X0) = iPr_def_18 )
| ( sK0(iPr_def_19,m(p(m(iPr_def_18,X0)),X1)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_12171,c_18770]) ).
tcf(c_69560,plain,
! [X0: $i] :
( ( m(iPr_def_18,X0) = iPr_def_18 )
| ( sK0(iPr_def_19,p(m(iPr_def_18,X0))) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5202,c_18770]) ).
tcf(c_69561,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_1466,c_18770]) ).
tcf(c_69562,plain,
! [X0: $i] :
( ( m(iPr_def_25,X0) = iPr_def_25 )
| ( sK0(iPr_def_25,m(iPr_def_25,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_18770]) ).
tcf(c_69563,plain,
! [X0: $i,X1: $i] :
( ( m(iPr_def_14,X0) = iPr_def_14 )
| ( sK0(iPr_def_17,m(p(m(iPr_def_14,X0)),X1)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9835,c_18770]) ).
tcf(c_69564,plain,
! [X0: $i] :
( ( m(iPr_def_14,X0) = iPr_def_14 )
| ( sK0(iPr_def_17,p(m(iPr_def_14,X0))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4559,c_18770]) ).
tcf(c_69565,plain,
! [X0: $i,X1: $i] :
( ( m(iPr_def_15,X0) = iPr_def_15 )
| ( sK0(iPr_def_16,m(p(m(iPr_def_15,X0)),X1)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9351,c_18770]) ).
tcf(c_69566,plain,
! [X0: $i] :
( ( m(iPr_def_15,X0) = iPr_def_15 )
| ( sK0(iPr_def_16,p(m(iPr_def_15,X0))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4363,c_18770]) ).
tcf(c_69567,plain,
! [X0: $i,X1: $i] :
( ( m(iPr_def_24,X0) = iPr_def_24 )
| ( sK0(iPr_def_25,m(p(m(iPr_def_24,X0)),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10528,c_18770]) ).
tcf(c_69568,plain,
! [X0: $i] :
( ( m(iPr_def_24,X0) = iPr_def_24 )
| ( sK0(iPr_def_25,p(m(iPr_def_24,X0))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4869,c_18770]) ).
tcf(c_69569,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| ( m(sK0(X0,X1),X2) = sK0(X0,X1) )
| ~ subq(X0,p(m(sK0(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_18917,c_18770]) ).
tcf(c_69570,plain,
! [X0: $i,X1: $i] :
( subq(p(e),X0)
| ( m(sK0(p(e),X0),X1) = sK0(p(e),X0) ) ),
inference(superposition,[status(thm)],[c_19694,c_18770]) ).
tcf(c_69571,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(m(p(e),X0),X1)
| ( m(sK0(m(p(e),X0),X1),X2) = sK0(m(p(e),X0),X1) ) ),
inference(superposition,[status(thm)],[c_19715,c_18770]) ).
tcf(c_69572,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( m(sK0(iPr_def_12,X0),X1) = sK0(iPr_def_12,X0) )
| ~ subq(iPr_def_18,p(m(sK0(iPr_def_12,X0),X1))) ),
inference(superposition,[status(thm)],[c_25842,c_18770]) ).
tcf(c_69573,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( m(sK0(iPr_def_12,X0),X1) = sK0(iPr_def_12,X0) )
| ~ subq(iPr_def_14,p(m(sK0(iPr_def_12,X0),X1))) ),
inference(superposition,[status(thm)],[c_19759,c_18770]) ).
tcf(c_69574,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,X1)
| ( m(sK0(X0,X1),X2) = sK0(X0,X1) )
| ~ subq(X0,p(e)) ),
inference(superposition,[status(thm)],[c_20550,c_18770]) ).
tcf(c_69575,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| ( m(sK0(iPr_def_19,X0),X1) = sK0(iPr_def_19,X0) )
| ~ subq(iPr_def_24,p(m(sK0(iPr_def_19,X0),X1))) ),
inference(superposition,[status(thm)],[c_28375,c_18770]) ).
tcf(c_69576,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| ( m(sK0(iPr_def_19,X0),X1) = sK0(iPr_def_19,X0) )
| ~ subq(iPr_def_21,p(m(sK0(iPr_def_19,X0),X1))) ),
inference(superposition,[status(thm)],[c_20704,c_18770]) ).
tcf(c_69577,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,X0)
| ( m(sK0(iPr_def_17,X0),X1) = sK0(iPr_def_17,X0) )
| ~ subq(iPr_def_22,p(m(sK0(iPr_def_17,X0),X1))) ),
inference(superposition,[status(thm)],[c_21165,c_18770]) ).
tcf(c_69578,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X0)
| ( m(sK0(iPr_def_16,X0),X1) = sK0(iPr_def_16,X0) )
| ~ subq(iPr_def_23,p(m(sK0(iPr_def_16,X0),X1))) ),
inference(superposition,[status(thm)],[c_21376,c_18770]) ).
tcf(c_69579,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| ( m(sK0(iPr_def_18,X0),X1) = sK0(iPr_def_18,X0) )
| ~ subq(iPr_def_24,p(m(sK0(iPr_def_18,X0),X1))) ),
inference(superposition,[status(thm)],[c_23024,c_18770]) ).
tcf(c_69580,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| ( m(sK0(iPr_def_13,X0),X1) = sK0(iPr_def_13,X0) )
| ~ subq(iPr_def_14,p(m(sK0(iPr_def_13,X0),X1))) ),
inference(superposition,[status(thm)],[c_24898,c_18770]) ).
tcf(c_69581,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( m(sK0(iPr_def_13,X0),X1) = sK0(iPr_def_13,X0) )
| ~ subq(iPr_def_25,p(m(sK0(iPr_def_13,X0),X1))) ),
inference(superposition,[status(thm)],[c_38616,c_18770]) ).
tcf(c_69582,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| ( m(sK0(iPr_def_13,X0),X1) = sK0(iPr_def_13,X0) )
| ~ subq(iPr_def_26,p(m(sK0(iPr_def_13,X0),X1))) ),
inference(superposition,[status(thm)],[c_23363,c_18770]) ).
tcf(c_69583,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X0)
| ( m(sK0(iPr_def_23,X0),X1) = sK0(iPr_def_23,X0) )
| ~ subq(iPr_def_28,p(m(sK0(iPr_def_23,X0),X1))) ),
inference(superposition,[status(thm)],[c_24435,c_18770]) ).
tcf(c_69584,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,X0)
| ( m(sK0(iPr_def_23,X0),X1) = sK0(iPr_def_23,X0) )
| ~ subq(iPr_def_27,p(m(sK0(iPr_def_23,X0),X1))) ),
inference(superposition,[status(thm)],[c_24129,c_18770]) ).
tcf(c_69585,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X0)
| ( m(sK0(iPr_def_14,X0),X1) = sK0(iPr_def_14,X0) )
| ~ subq(iPr_def_15,p(m(sK0(iPr_def_14,X0),X1))) ),
inference(superposition,[status(thm)],[c_25507,c_18770]) ).
tcf(c_69586,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,X0)
| ( m(sK0(iPr_def_20,X0),X1) = sK0(iPr_def_20,X0) )
| ~ subq(iPr_def_21,p(m(sK0(iPr_def_20,X0),X1))) ),
inference(superposition,[status(thm)],[c_26392,c_18770]) ).
tcf(c_69587,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,X0)
| ( m(sK0(iPr_def_21,X0),X1) = sK0(iPr_def_21,X0) )
| ~ subq(iPr_def_22,p(m(sK0(iPr_def_21,X0),X1))) ),
inference(superposition,[status(thm)],[c_27697,c_18770]) ).
tcf(c_69588,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,X0)
| ( m(sK0(iPr_def_22,X0),X1) = sK0(iPr_def_22,X0) )
| ~ subq(iPr_def_23,p(m(sK0(iPr_def_22,X0),X1))) ),
inference(superposition,[status(thm)],[c_27928,c_18770]) ).
tcf(c_69589,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X0)
| ( m(sK0(iPr_def_25,X0),X1) = sK0(iPr_def_25,X0) )
| ~ subq(iPr_def_28,p(m(sK0(iPr_def_25,X0),X1))) ),
inference(superposition,[status(thm)],[c_29946,c_18770]) ).
tcf(c_69590,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,X0)
| ( m(sK0(iPr_def_25,X0),X1) = sK0(iPr_def_25,X0) )
| ~ subq(iPr_def_26,p(m(sK0(iPr_def_25,X0),X1))) ),
inference(superposition,[status(thm)],[c_28625,c_18770]) ).
tcf(c_69591,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| ( m(sK0(iPr_def_26,X0),X1) = sK0(iPr_def_26,X0) )
| ~ subq(iPr_def_27,p(m(sK0(iPr_def_26,X0),X1))) ),
inference(superposition,[status(thm)],[c_29002,c_18770]) ).
tcf(c_69592,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( m(sK0(iPr_def_26,X0),X1) = sK0(iPr_def_26,X0) )
| ~ subq(iPr_def_25,p(m(sK0(iPr_def_26,X0),X1))) ),
inference(superposition,[status(thm)],[c_29604,c_18770]) ).
tcf(c_69593,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_25)
| ( m(sK0(iPr_def_26,iPr_def_25),X0) = sK0(iPr_def_26,iPr_def_25) )
| ~ subq(iPr_def_23,p(m(sK0(iPr_def_26,iPr_def_25),X0))) ),
inference(superposition,[status(thm)],[c_30396,c_18770]) ).
tcf(c_70008,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_30223,c_51]) ).
tcf(c_70009,plain,
( mem(iPr_def_18,iPr_def_14)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30223,c_2900]) ).
tcf(c_70010,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_12) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30223,c_5200]) ).
tcf(c_70024,plain,
! [X0: $i] :
( mem(iPr_def_18,X0)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 )
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_30359,c_51]) ).
tcf(c_70025,plain,
( mem(iPr_def_18,iPr_def_14)
| mem(iPr_def_18,iPr_def_10)
| ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30359,c_2900]) ).
tcf(c_70026,plain,
! [X0: $i] :
( ( sK0(iPr_def_19,iPr_def_13) = iPr_def_18 )
| ( sK0(iPr_def_19,m(X0,iPr_def_15)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_30359,c_5200]) ).
tcf(c_70040,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31261,c_38610]) ).
tcf(c_70041,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31261,c_29598]) ).
tcf(c_70042,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31261,c_6475]) ).
tcf(c_70043,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31261,c_52]) ).
tcf(c_70044,plain,
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31261,c_28618]) ).
tcf(c_70046,plain,
( mem(iPr_def_24,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31261,c_1761]) ).
tcf(c_70058,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70041,c_2720]) ).
tcf(c_70062,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70040,c_2720]) ).
tcf(c_70072,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31273,c_38610]) ).
tcf(c_70073,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31273,c_29598]) ).
tcf(c_70074,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31273,c_6475]) ).
tcf(c_70075,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31273,c_52]) ).
tcf(c_70076,plain,
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31273,c_28618]) ).
tcf(c_70088,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70073,c_2720]) ).
tcf(c_70092,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70072,c_2720]) ).
tcf(c_70104,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_32296,c_51]) ).
tcf(c_70105,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_32296,c_1252]) ).
tcf(c_70106,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_32296,c_890]) ).
tcf(c_70107,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_32296,c_889]) ).
tcf(c_70260,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_32396,c_51]) ).
tcf(c_70261,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_32396,c_1252]) ).
tcf(c_70262,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_32396,c_890]) ).
tcf(c_70263,plain,
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_32396,c_889]) ).
tcf(c_70285,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_36426,c_49]) ).
tcf(c_70286,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_36426,c_51]) ).
tcf(c_70287,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_36426,c_1252]) ).
tcf(c_70290,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_36426,c_29602]) ).
tcf(c_70311,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_36429,c_49]) ).
tcf(c_70312,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_36429,c_51]) ).
tcf(c_70313,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_22)
| mem(sK0(iPr_def_26,X0),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_36429,c_1252]) ).
tcf(c_70316,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_20)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_36429,c_29602]) ).
tcf(c_70338,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,s(X1))
| ( X1 = iPr_def_12 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4208,c_38447]) ).
tcf(c_70339,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(iPr_def_12,X0)
| ( e = iPr_def_12 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_4215,c_38447]) ).
tcf(c_70340,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,p(e))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_62502,c_38447]) ).
tcf(c_70341,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_13))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56917,c_38447]) ).
tcf(c_70342,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_26))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56918,c_38447]) ).
tcf(c_70343,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_14))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56936,c_38447]) ).
tcf(c_70344,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_15))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56937,c_38447]) ).
tcf(c_70345,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_27))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56938,c_38447]) ).
tcf(c_70346,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56939,c_38447]) ).
tcf(c_70347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(m(X1,iPr_def_28),X2)) = iPr_def_24 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56953,c_38447]) ).
tcf(c_70348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,X0)
| subq(iPr_def_13,m(X3,iPr_def_23))
| ( sK0(iPr_def_25,m(X1,u(iPr_def_28,X2))) = iPr_def_24 )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_56948,c_38447]) ).
tcf(c_70349,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_38447,c_49]) ).
tcf(c_70350,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_28,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_38447,c_51]) ).
tcf(c_70352,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| ( sK0(iPr_def_13,X1) = X0 )
| ~ subq(iPr_def_28,s(X0)) ),
inference(superposition,[status(thm)],[c_38447,c_55]) ).
tcf(c_70353,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X1)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_28,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_38447,c_58]) ).
tcf(c_70354,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| ~ mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38447,c_61]) ).
tcf(c_70355,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),X0)
| ~ subq(iPr_def_28,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38447,c_60]) ).
tcf(c_70356,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| subq(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_28,p(X0)) ),
inference(superposition,[status(thm)],[c_38447,c_63]) ).
tcf(c_70358,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38447,c_2825]) ).
tcf(c_70359,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = e )
| ~ subq(iPr_def_28,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38447,c_793]) ).
tcf(c_70360,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_10 )
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38447,c_2828]) ).
tcf(c_70361,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38447,c_936]) ).
tcf(c_70366,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38447,c_886]) ).
tcf(c_70367,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_15 )
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38447,c_796]) ).
tcf(c_70368,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38447,c_885]) ).
tcf(c_70369,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_14 )
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38447,c_797]) ).
tcf(c_70370,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_18 )
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38447,c_798]) ).
tcf(c_70371,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38447,c_940]) ).
tcf(c_70372,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38447,c_884]) ).
tcf(c_70373,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_19 )
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38447,c_799]) ).
tcf(c_70374,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38447,c_937]) ).
tcf(c_70375,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| ( sK0(iPr_def_13,X0) = iPr_def_24 )
| ~ subq(iPr_def_28,iPr_def_25) ),
inference(superposition,[status(thm)],[c_38447,c_800]) ).
tcf(c_70381,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)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38447,c_2891]) ).
tcf(c_70382,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38447,c_887]) ).
tcf(c_70383,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_20)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38447,c_1250]) ).
tcf(c_70384,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_21) ),
inference(superposition,[status(thm)],[c_38447,c_938]) ).
tcf(c_70385,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_21)
| mem(sK0(iPr_def_13,X0),iPr_def_17)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38447,c_1251]) ).
tcf(c_70386,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38447,c_939]) ).
tcf(c_70387,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_22)
| mem(sK0(iPr_def_13,X0),iPr_def_16)
| ~ subq(iPr_def_28,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38447,c_1252]) ).
tcf(c_70390,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_19)
| mem(sK0(iPr_def_13,X0),iPr_def_18)
| ~ subq(iPr_def_28,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38447,c_1253]) ).
tcf(c_70395,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| ~ subq(iPr_def_28,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_38447,c_38614]) ).
tcf(c_70626,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_10)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_39958,c_51]) ).
tcf(c_70627,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_39958,c_2891]) ).
tcf(c_70628,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_39958,c_887]) ).
tcf(c_70647,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_23)
| subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),X0)
| ~ subq(iPr_def_25,p(X0))
| ~ subq(iPr_def_25,sK0(iPr_def_26,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_30614,c_38610]) ).
tcf(c_70648,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,iPr_def_23)
| subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),X0)
| ~ subq(iPr_def_25,p(X0))
| ~ subq(iPr_def_25,sK0(iPr_def_26,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_30614,c_29598]) ).
tcf(c_70649,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| subq(iPr_def_26,iPr_def_23)
| mem(iPr_def_12,X0)
| ( sK0(iPr_def_25,sK0(iPr_def_26,iPr_def_23)) = iPr_def_24 )
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_30614,c_6475]) ).
tcf(c_70650,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_26,iPr_def_23) = X0 )
| ~ subq(iPr_def_25,p(X0))
| ~ subq(X0,sK0(iPr_def_26,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_30614,c_52]) ).
tcf(c_70653,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| ( m(sK0(iPr_def_26,iPr_def_23),X0) = sK0(iPr_def_26,iPr_def_23) )
| ~ subq(iPr_def_25,p(m(sK0(iPr_def_26,iPr_def_23),X0))) ),
inference(superposition,[status(thm)],[c_30614,c_18770]) ).
tcf(c_70654,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| subq(sK0(iPr_def_26,iPr_def_23),p(X0))
| ~ subq(iPr_def_25,p(p(e))) ),
inference(superposition,[status(thm)],[c_30614,c_22959]) ).
tcf(c_70688,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_70285]) ).
tcf(c_70695,plain,
( subq(iPr_def_26,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1463,c_70311]) ).
tcf(c_70709,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_42368,c_51]) ).
tcf(c_70710,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_42368,c_1252]) ).
tcf(c_70711,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_42368,c_890]) ).
tcf(c_70712,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_42368,c_889]) ).
tcf(c_70732,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31399,c_38610]) ).
tcf(c_70733,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31399,c_29598]) ).
tcf(c_70734,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31399,c_6475]) ).
tcf(c_70735,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31399,c_52]) ).
tcf(c_70736,plain,
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31399,c_28618]) ).
tcf(c_70748,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70733,c_2720]) ).
tcf(c_70752,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70732,c_2720]) ).
tcf(c_70762,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31564,c_38610]) ).
tcf(c_70763,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31564,c_29598]) ).
tcf(c_70764,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31564,c_6475]) ).
tcf(c_70765,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_31564,c_52]) ).
tcf(c_70766,plain,
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31564,c_28618]) ).
tcf(c_70778,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70763,c_2720]) ).
tcf(c_70782,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70762,c_2720]) ).
tcf(c_70792,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_32876,c_38610]) ).
tcf(c_70793,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_32876,c_29598]) ).
tcf(c_70794,plain,
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32876,c_6475]) ).
tcf(c_70795,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_32876,c_52]) ).
tcf(c_70796,plain,
( subq(iPr_def_25,iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32876,c_28618]) ).
tcf(c_70808,plain,
! [X0: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70793,c_2720]) ).
tcf(c_70812,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| ( sK0(iPr_def_25,iPr_def_21) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70792,c_2720]) ).
tcf(c_70844,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,iPr_def_17) = e )
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_34383,c_51]) ).
tcf(c_70846,plain,
! [X0: $i] :
( ( sK0(iPr_def_10,iPr_def_17) = e )
| ( sK0(iPr_def_10,m(X0,iPr_def_28)) = e ) ),
inference(superposition,[status(thm)],[c_34383,c_3885]) ).
tcf(c_70859,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_39961,c_51]) ).
tcf(c_70860,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_12)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_39961,c_2891]) ).
tcf(c_70861,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_39961,c_887]) ).
tcf(c_70880,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_39968,c_51]) ).
tcf(c_70881,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_39968,c_1251]) ).
tcf(c_70898,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_39971,c_51]) ).
tcf(c_70899,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_19)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_39971,c_1253]) ).
tcf(c_70915,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_39972,c_51]) ).
tcf(c_70916,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_39972,c_1250]) ).
tcf(c_70917,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_39972,c_938]) ).
tcf(c_70958,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),X0)
| ~ subq(iPr_def_23,iPr_def_20)
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_39974,c_51]) ).
tcf(c_70959,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_20)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_39974,c_1250]) ).
tcf(c_70960,plain,
( subq(iPr_def_13,iPr_def_25)
| mem(sK0(iPr_def_13,iPr_def_25),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_39974,c_938]) ).
tcf(c_70980,plain,
! [X0: $i] :
( subq(iPr_def_12,e)
| subq(iPr_def_10,X0)
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_4076,c_31584]) ).
tcf(c_70981,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,s(X1))
| ( X1 = iPr_def_10 )
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_4077,c_31584]) ).
tcf(c_70983,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,p(e))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_18388,c_31584]) ).
tcf(c_70984,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(p(e),X1))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_18404,c_31584]) ).
tcf(c_70985,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_24))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_55125,c_31584]) ).
tcf(c_70986,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_18))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_55126,c_31584]) ).
tcf(c_70987,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_15))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_55127,c_31584]) ).
tcf(c_70988,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_14))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_55128,c_31584]) ).
tcf(c_70989,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(iPr_def_12,m(X1,iPr_def_12))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_55129,c_31584]) ).
tcf(c_70990,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_15,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_31584,c_38610]) ).
tcf(c_70991,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_12,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_15,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_31584,c_29598]) ).
tcf(c_70992,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_12,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_12,X1)) = iPr_def_24 )
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_31584,c_6475]) ).
tcf(c_70993,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X1)
| ( sK0(iPr_def_12,X1) = X0 )
| ~ subq(iPr_def_15,p(X0))
| ~ subq(X0,sK0(iPr_def_12,X1)) ),
inference(superposition,[status(thm)],[c_31584,c_52]) ).
tcf(c_70994,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ~ subq(iPr_def_15,p(X0)) ),
inference(superposition,[status(thm)],[c_31584,c_783]) ).
tcf(c_70995,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(sK0(iPr_def_12,X0),X1)
| ~ subq(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_31584,c_18912]) ).
tcf(c_70996,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| ( sK0(iPr_def_12,X0) = e )
| ~ subq(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_31584,c_1212]) ).
tcf(c_70997,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| ( m(sK0(iPr_def_12,X0),X1) = sK0(iPr_def_12,X0) )
| ~ subq(iPr_def_15,p(m(sK0(iPr_def_12,X0),X1))) ),
inference(superposition,[status(thm)],[c_31584,c_18770]) ).
tcf(c_70998,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,X0)
| subq(sK0(iPr_def_12,X0),p(X1))
| ~ subq(iPr_def_15,p(p(e))) ),
inference(superposition,[status(thm)],[c_31584,c_22959]) ).
tcf(c_70999,plain,
! [X0: $i] :
( subq(iPr_def_12,p(X0))
| ~ subq(iPr_def_15,p(e)) ),
inference(superposition,[status(thm)],[c_31584,c_21696]) ).
tcf(c_71007,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ~ subq(iPr_def_15,p(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70980,c_62687]) ).
tcf(c_71167,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),X0)
| ~ subq(iPr_def_25,iPr_def_18)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_43817,c_51]) ).
tcf(c_71168,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_43817,c_1252]) ).
tcf(c_71169,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_43817,c_890]) ).
tcf(c_71170,plain,
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_43817,c_889]) ).
tcf(c_71227,plain,
! [X0: $i,X1: $i] : subq(X0,u(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_891]) ).
tcf(c_71228,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_891]) ).
tcf(c_71229,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_891]) ).
tcf(c_71230,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_891]) ).
tcf(c_71231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(p(X1),X2))
| ~ subq(sK0(X0,u(p(X1),X2)),e) ),
inference(superposition,[status(thm)],[c_21676,c_891]) ).
tcf(c_71232,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_891]) ).
tcf(c_71233,plain,
! [X0: $i,X1: $i,X2: $i] : subq(m(X0,X1),u(X0,X2)),
inference(superposition,[status(thm)],[c_1000,c_891]) ).
tcf(c_71234,plain,
! [X0: $i] : subq(iPr_def_12,u(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_1020,c_891]) ).
tcf(c_71235,plain,
! [X0: $i] : subq(iPr_def_19,u(iPr_def_21,X0)),
inference(superposition,[status(thm)],[c_1058,c_891]) ).
tcf(c_71236,plain,
! [X0: $i] : subq(iPr_def_17,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_1067,c_891]) ).
tcf(c_71237,plain,
! [X0: $i] : subq(iPr_def_16,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_1076,c_891]) ).
tcf(c_71238,plain,
! [X0: $i] : subq(iPr_def_18,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_1085,c_891]) ).
tcf(c_71239,plain,
! [X0: $i] : subq(iPr_def_13,u(iPr_def_26,X0)),
inference(superposition,[status(thm)],[c_1093,c_891]) ).
tcf(c_71240,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(X0,u(X1,X2))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_1123,c_891]) ).
tcf(c_71241,plain,
! [X0: $i] : subq(iPr_def_23,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_1345,c_891]) ).
tcf(c_71242,plain,
! [X0: $i] : subq(iPr_def_23,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_1358,c_891]) ).
tcf(c_71243,plain,
! [X0: $i] : subq(iPr_def_13,u(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_1445,c_891]) ).
tcf(c_71244,plain,
! [X0: $i] : subq(iPr_def_14,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_1488,c_891]) ).
tcf(c_71245,plain,
! [X0: $i] : subq(iPr_def_12,u(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_1497,c_891]) ).
tcf(c_71246,plain,
! [X0: $i] : subq(iPr_def_20,u(iPr_def_21,X0)),
inference(superposition,[status(thm)],[c_1506,c_891]) ).
tcf(c_71247,plain,
! [X0: $i] : subq(iPr_def_21,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_1515,c_891]) ).
tcf(c_71248,plain,
! [X0: $i] : subq(iPr_def_22,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_1573,c_891]) ).
tcf(c_71249,plain,
! [X0: $i] : subq(iPr_def_19,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_1656,c_891]) ).
tcf(c_71250,plain,
! [X0: $i] : subq(iPr_def_25,u(iPr_def_26,X0)),
inference(superposition,[status(thm)],[c_1665,c_891]) ).
tcf(c_71251,plain,
! [X0: $i] : subq(iPr_def_26,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_1674,c_891]) ).
tcf(c_71252,plain,
! [X0: $i] : subq(iPr_def_25,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_1715,c_891]) ).
tcf(c_71253,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,u(X0,X1))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_3216,c_891]) ).
tcf(c_71254,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,u(X0,X1))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2956,c_891]) ).
tcf(c_71255,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,u(X0,X1))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_2559,c_891]) ).
tcf(c_71256,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_12,u(X0,X1))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_2089,c_891]) ).
tcf(c_71257,plain,
! [X0: $i] : subq(iPr_def_12,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_2090,c_891]) ).
tcf(c_71258,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3729,c_891]) ).
tcf(c_71259,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3715,c_891]) ).
tcf(c_71260,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,u(X0,X1))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3460,c_891]) ).
tcf(c_71261,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,u(X0,X1))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_3006,c_891]) ).
tcf(c_71262,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,u(X0,X1))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2707,c_891]) ).
tcf(c_71263,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,u(X0,X1))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_2184,c_891]) ).
tcf(c_71264,plain,
! [X0: $i] : subq(iPr_def_19,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_2185,c_891]) ).
tcf(c_71265,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3533,c_891]) ).
tcf(c_71266,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3518,c_891]) ).
tcf(c_71267,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,u(X0,X1))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3024,c_891]) ).
tcf(c_71268,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_17,u(X0,X1))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_2210,c_891]) ).
tcf(c_71269,plain,
! [X0: $i] : subq(iPr_def_17,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_2211,c_891]) ).
tcf(c_71270,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3096,c_891]) ).
tcf(c_71271,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3075,c_891]) ).
tcf(c_71272,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,u(X0,X1))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2244,c_891]) ).
tcf(c_71273,plain,
! [X0: $i] : subq(iPr_def_16,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_2245,c_891]) ).
tcf(c_71274,plain,
! [X0: $i] : subq(iPr_def_16,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_2246,c_891]) ).
tcf(c_71275,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,u(X0,X1))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2278,c_891]) ).
tcf(c_71276,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_38447,c_891]) ).
tcf(c_71277,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| mem(sK0(iPr_def_13,u(X0,X1)),iPr_def_22)
| mem(sK0(iPr_def_13,u(X0,X1)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38606,c_891]) ).
tcf(c_71278,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| ( sK0(iPr_def_13,u(X0,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38462,c_891]) ).
tcf(c_71279,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3193,c_891]) ).
tcf(c_71280,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| mem(sK0(iPr_def_13,u(X0,X1)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_891]) ).
tcf(c_71281,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3153,c_891]) ).
tcf(c_71282,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_2526,c_891]) ).
tcf(c_71283,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_2331,c_891]) ).
tcf(c_71284,plain,
! [X0: $i] : subq(iPr_def_13,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_2332,c_891]) ).
tcf(c_71285,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2459,c_891]) ).
tcf(c_71286,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_23,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2439,c_891]) ).
tcf(c_71287,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,u(X0,X1))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_3180,c_891]) ).
tcf(c_71288,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,u(X0,X1))
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_3168,c_891]) ).
tcf(c_71289,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,u(X0,X1))
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_2992,c_891]) ).
tcf(c_71290,plain,
! [X0: $i] : subq(iPr_def_10,u(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_2502,c_891]) ).
tcf(c_71291,plain,
! [X0: $i] : subq(iPr_def_10,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_2503,c_891]) ).
tcf(c_71292,plain,
! [X0: $i] : subq(iPr_def_13,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_2527,c_891]) ).
tcf(c_71293,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,u(X0,X1))
| ~ subq(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2544,c_891]) ).
tcf(c_71294,plain,
! [X0: $i] : subq(iPr_def_12,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_2560,c_891]) ).
tcf(c_71295,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3759,c_891]) ).
tcf(c_71296,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3744,c_891]) ).
tcf(c_71297,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,u(X0,X1))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3580,c_891]) ).
tcf(c_71298,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,u(X0,X1))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_3276,c_891]) ).
tcf(c_71299,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_20,u(X0,X1))
| ~ subq(iPr_def_21,X0) ),
inference(superposition,[status(thm)],[c_2601,c_891]) ).
tcf(c_71300,plain,
! [X0: $i] : subq(iPr_def_20,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_2602,c_891]) ).
tcf(c_71301,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3629,c_891]) ).
tcf(c_71302,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3614,c_891]) ).
tcf(c_71303,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,u(X0,X1))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_3294,c_891]) ).
tcf(c_71304,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_21,u(X0,X1))
| ~ subq(iPr_def_22,X0) ),
inference(superposition,[status(thm)],[c_2619,c_891]) ).
tcf(c_71305,plain,
! [X0: $i] : subq(iPr_def_21,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_2620,c_891]) ).
tcf(c_71306,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3355,c_891]) ).
tcf(c_71307,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_3332,c_891]) ).
tcf(c_71308,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_22,u(X0,X1))
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_2683,c_891]) ).
tcf(c_71309,plain,
! [X0: $i] : subq(iPr_def_22,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_2684,c_891]) ).
tcf(c_71310,plain,
! [X0: $i] : subq(iPr_def_22,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_2685,c_891]) ).
tcf(c_71311,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_3382,c_891]) ).
tcf(c_71312,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_2774,c_891]) ).
tcf(c_71313,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_25,u(X0,X1))
| ~ subq(iPr_def_26,X0) ),
inference(superposition,[status(thm)],[c_2721,c_891]) ).
tcf(c_71314,plain,
! [X0: $i] : subq(iPr_def_25,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_2722,c_891]) ).
tcf(c_71315,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| ~ subq(iPr_def_28,X0) ),
inference(superposition,[status(thm)],[c_29542,c_891]) ).
tcf(c_71316,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| mem(sK0(iPr_def_26,u(X0,X1)),iPr_def_22)
| mem(sK0(iPr_def_26,u(X0,X1)),iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29594,c_891]) ).
tcf(c_71317,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| ( sK0(iPr_def_26,u(X0,X1)) = iPr_def_24 )
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29555,c_891]) ).
tcf(c_71318,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| mem(sK0(iPr_def_26,u(X0,X1)),iPr_def_23)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_891]) ).
tcf(c_71319,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| ~ subq(iPr_def_27,X0) ),
inference(superposition,[status(thm)],[c_2759,c_891]) ).
tcf(c_71320,plain,
! [X0: $i] : subq(iPr_def_10,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_2983,c_891]) ).
tcf(c_71321,plain,
! [X0: $i] : subq(iPr_def_19,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_3007,c_891]) ).
tcf(c_71322,plain,
! [X0: $i] : subq(iPr_def_17,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_3025,c_891]) ).
tcf(c_71323,plain,
! [X0: $i] : subq(iPr_def_17,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_3026,c_891]) ).
tcf(c_71324,plain,
! [X0: $i] : subq(iPr_def_20,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_3277,c_891]) ).
tcf(c_71325,plain,
! [X0: $i] : subq(iPr_def_21,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_3295,c_891]) ).
tcf(c_71326,plain,
! [X0: $i] : subq(iPr_def_21,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_3296,c_891]) ).
tcf(c_71327,plain,
! [X0: $i] : subq(iPr_def_19,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_3461,c_891]) ).
tcf(c_71328,plain,
! [X0: $i] : subq(iPr_def_19,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_3462,c_891]) ).
tcf(c_71329,plain,
! [X0: $i] : subq(iPr_def_20,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_3581,c_891]) ).
tcf(c_71330,plain,
! [X0: $i] : subq(iPr_def_20,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_3582,c_891]) ).
tcf(c_71331,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_29139,c_891]) ).
tcf(c_71332,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_23) ),
inference(superposition,[status(thm)],[c_37453,c_891]) ).
tcf(c_71333,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_36429,c_891]) ).
tcf(c_71334,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_36426,c_891]) ).
tcf(c_71335,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_19)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_29638,c_891]) ).
tcf(c_71336,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_12)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29629,c_891]) ).
tcf(c_71337,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_14)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_29628,c_891]) ).
tcf(c_71338,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_13)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29626,c_891]) ).
tcf(c_71339,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29613,c_891]) ).
tcf(c_71340,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29608,c_891]) ).
tcf(c_71341,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29607,c_891]) ).
tcf(c_71342,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_32417,c_891]) ).
tcf(c_71343,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_29627,c_891]) ).
tcf(c_71344,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_31531,c_891]) ).
tcf(c_71345,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29611,c_891]) ).
tcf(c_71346,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29610,c_891]) ).
tcf(c_71347,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29609,c_891]) ).
tcf(c_71348,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29606,c_891]) ).
tcf(c_71349,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29605,c_891]) ).
tcf(c_71350,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_29643,c_891]) ).
tcf(c_71351,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_29634,c_891]) ).
tcf(c_71352,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29614,c_891]) ).
tcf(c_71353,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,u(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_29597,c_891]) ).
tcf(c_71354,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29494,c_891]) ).
tcf(c_71355,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_19)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_24) ),
inference(superposition,[status(thm)],[c_38650,c_891]) ).
tcf(c_71356,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_12)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38641,c_891]) ).
tcf(c_71357,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38633,c_891]) ).
tcf(c_71358,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38630,c_891]) ).
tcf(c_71359,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_10 )
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38620,c_891]) ).
tcf(c_71360,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = e )
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38619,c_891]) ).
tcf(c_71361,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_43859,c_891]) ).
tcf(c_71362,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_38634,c_891]) ).
tcf(c_71363,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38632,c_891]) ).
tcf(c_71364,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_42316,c_891]) ).
tcf(c_71365,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_38621,c_891]) ).
tcf(c_71366,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_18)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_38618,c_891]) ).
tcf(c_71367,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_38655,c_891]) ).
tcf(c_71368,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_38646,c_891]) ).
tcf(c_71369,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38626,c_891]) ).
tcf(c_71370,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,u(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_38609,c_891]) ).
tcf(c_71371,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38387,c_891]) ).
tcf(c_71372,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(X1,X2))
| mem(sK0(iPr_def_13,u(X1,X2)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_891]) ).
tcf(c_71373,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(X0,X2))
| mem(sK0(iPr_def_13,u(X0,X2)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_891]) ).
tcf(c_71374,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_22,X0))
| mem(sK0(iPr_def_13,u(iPr_def_22,X0)),iPr_def_16)
| ( sK0(iPr_def_13,u(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38463,c_891]) ).
tcf(c_71375,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_24,X0))
| mem(sK0(iPr_def_13,u(iPr_def_24,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38642,c_891]) ).
tcf(c_71376,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_24,X0))
| mem(sK0(iPr_def_13,u(iPr_def_24,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38631,c_891]) ).
tcf(c_71377,plain,
! [X0: $i] : subq(iPr_def_13,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_38436,c_891]) ).
tcf(c_71378,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(X1,X2))
| mem(sK0(iPr_def_26,u(X1,X2)),X0)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_891]) ).
tcf(c_71379,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(X0,X2))
| mem(sK0(iPr_def_26,u(X0,X2)),X1)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_891]) ).
tcf(c_71380,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_22,X0))
| mem(sK0(iPr_def_26,u(iPr_def_22,X0)),iPr_def_16)
| ( sK0(iPr_def_26,u(iPr_def_22,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29556,c_891]) ).
tcf(c_71381,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_24,X0))
| mem(sK0(iPr_def_26,u(iPr_def_24,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29630,c_891]) ).
tcf(c_71382,plain,
! [X0: $i] : subq(iPr_def_26,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_29534,c_891]) ).
tcf(c_71383,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_23,X1))
| mem(sK0(iPr_def_26,u(iPr_def_23,X1)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29493,c_891]) ).
tcf(c_71384,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_22,X1))
| mem(sK0(iPr_def_26,u(iPr_def_22,X1)),iPr_def_16)
| mem(sK0(iPr_def_26,u(iPr_def_22,X1)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29594,c_891]) ).
tcf(c_71385,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_23,X1))
| mem(sK0(iPr_def_13,u(iPr_def_23,X1)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38386,c_891]) ).
tcf(c_71386,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_22,X1))
| mem(sK0(iPr_def_13,u(iPr_def_22,X1)),iPr_def_16)
| mem(sK0(iPr_def_13,u(iPr_def_22,X1)),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38606,c_891]) ).
tcf(c_71387,plain,
! [X0: $i] :
( subq(X0,u(e,iPr_def_10))
| ~ mem(sK0(X0,iPr_def_10),e) ),
inference(superposition,[status(thm)],[c_2831,c_891]) ).
tcf(c_71388,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_12,iPr_def_13))
| ~ mem(sK0(X0,iPr_def_14),iPr_def_12) ),
inference(superposition,[status(thm)],[c_267,c_891]) ).
tcf(c_71389,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_19,iPr_def_20))
| ~ mem(sK0(X0,iPr_def_21),iPr_def_19) ),
inference(superposition,[status(thm)],[c_274,c_891]) ).
tcf(c_71390,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_17,iPr_def_21))
| ~ mem(sK0(X0,iPr_def_22),iPr_def_17) ),
inference(superposition,[status(thm)],[c_275,c_891]) ).
tcf(c_71391,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_16,iPr_def_22))
| ~ mem(sK0(X0,iPr_def_23),iPr_def_16) ),
inference(superposition,[status(thm)],[c_276,c_891]) ).
tcf(c_71392,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_18,iPr_def_19))
| ~ mem(sK0(X0,iPr_def_24),iPr_def_18) ),
inference(superposition,[status(thm)],[c_277,c_891]) ).
tcf(c_71393,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_13,iPr_def_25))
| ~ mem(sK0(X0,iPr_def_26),iPr_def_13) ),
inference(superposition,[status(thm)],[c_279,c_891]) ).
tcf(c_71394,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_23,iPr_def_26))
| ~ mem(sK0(X0,iPr_def_27),iPr_def_23) ),
inference(superposition,[status(thm)],[c_280,c_891]) ).
tcf(c_71395,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_23,iPr_def_25))
| ~ mem(sK0(X0,iPr_def_28),iPr_def_23) ),
inference(superposition,[status(thm)],[c_281,c_891]) ).
tcf(c_71396,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_10,iPr_def_12))
| ~ mem(sK0(X0,iPr_def_18),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2829,c_891]) ).
tcf(c_71397,plain,
! [X0: $i] :
( subq(X0,u(iPr_def_10,iPr_def_14))
| ~ mem(sK0(X0,iPr_def_15),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2830,c_891]) ).
tcf(c_71516,plain,
! [X0: $i] :
( subq(X0,iPr_def_15)
| ~ mem(sK0(X0,iPr_def_15),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_71397,c_2830]) ).
tcf(c_71519,plain,
! [X0: $i] :
( subq(X0,iPr_def_18)
| ~ mem(sK0(X0,iPr_def_18),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_71396,c_2829]) ).
tcf(c_71522,plain,
! [X0: $i] :
( subq(X0,iPr_def_28)
| ~ mem(sK0(X0,iPr_def_28),iPr_def_23) ),
inference(light_normalisation,[status(thm)],[c_71395,c_281]) ).
tcf(c_71525,plain,
! [X0: $i] :
( subq(X0,iPr_def_27)
| ~ mem(sK0(X0,iPr_def_27),iPr_def_23) ),
inference(light_normalisation,[status(thm)],[c_71394,c_280]) ).
tcf(c_71528,plain,
! [X0: $i] :
( subq(X0,iPr_def_26)
| ~ mem(sK0(X0,iPr_def_26),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_71393,c_279]) ).
tcf(c_71531,plain,
! [X0: $i] :
( subq(X0,iPr_def_24)
| ~ mem(sK0(X0,iPr_def_24),iPr_def_18) ),
inference(light_normalisation,[status(thm)],[c_71392,c_277]) ).
tcf(c_71534,plain,
! [X0: $i] :
( subq(X0,iPr_def_23)
| ~ mem(sK0(X0,iPr_def_23),iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_71391,c_276]) ).
tcf(c_71537,plain,
! [X0: $i] :
( subq(X0,iPr_def_22)
| ~ mem(sK0(X0,iPr_def_22),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_71390,c_275]) ).
tcf(c_71540,plain,
! [X0: $i] :
( subq(X0,iPr_def_21)
| ~ mem(sK0(X0,iPr_def_21),iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_71389,c_274]) ).
tcf(c_71543,plain,
! [X0: $i] :
( subq(X0,iPr_def_14)
| ~ mem(sK0(X0,iPr_def_14),iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_71388,c_267]) ).
tcf(c_71546,plain,
! [X0: $i] :
( subq(X0,iPr_def_10)
| ~ mem(sK0(X0,iPr_def_10),e) ),
inference(light_normalisation,[status(thm)],[c_71387,c_2831]) ).
tcf(c_72500,plain,
subq(e,iPr_def_10),
inference(superposition,[status(thm)],[c_2831,c_71227]) ).
tcf(c_72511,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),u(X0,X2))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71227,c_38610]) ).
tcf(c_72512,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),u(X0,X2))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71227,c_29598]) ).
tcf(c_72513,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(X0,X1))
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6475]) ).
tcf(c_72514,plain,
! [X0: $i,X1: $i] :
( ( u(X0,X1) = X0 )
| ~ subq(u(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_71227,c_52]) ).
tcf(c_72515,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(p(X1),X2))
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_71227,c_21697]) ).
tcf(c_72516,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(p(X1),X2))
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_71227,c_1127]) ).
tcf(c_72517,plain,
! [X0: $i,X1: $i] : mem(X0,u(s(X0),X1)),
inference(superposition,[status(thm)],[c_71227,c_1124]) ).
tcf(c_72518,plain,
! [X0: $i] : mem(e,u(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_71227,c_1128]) ).
tcf(c_72519,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(u(iPr_def_12,X1)))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_8782]) ).
tcf(c_72520,plain,
! [X0: $i] : mem(iPr_def_10,u(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_71227,c_2818]) ).
tcf(c_72521,plain,
! [X0: $i] : mem(iPr_def_12,u(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_71227,c_1130]) ).
tcf(c_72522,plain,
! [X0: $i] : mem(iPr_def_15,u(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_71227,c_1131]) ).
tcf(c_72523,plain,
! [X0: $i] : mem(iPr_def_14,u(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_71227,c_1132]) ).
tcf(c_72524,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_19,X0)),
inference(superposition,[status(thm)],[c_71227,c_1133]) ).
tcf(c_72527,plain,
! [X0: $i] : mem(iPr_def_10,u(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_71227,c_2813]) ).
tcf(c_72528,plain,
! [X0: $i] : mem(e,u(iPr_def_18,X0)),
inference(superposition,[status(thm)],[c_71227,c_1401]) ).
tcf(c_72529,plain,
! [X0: $i] : mem(iPr_def_19,u(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_71227,c_1134]) ).
tcf(c_72530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,u(iPr_def_25,X3))
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_64710]) ).
tcf(c_72531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(iPr_def_12,u(iPr_def_25,X3))
| subq(iPr_def_13,m(X2,iPr_def_23))
| mem(sK0(iPr_def_13,m(X2,iPr_def_23)),iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_64276]) ).
tcf(c_72532,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_22)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,u(iPr_def_25,X1))
| subq(iPr_def_13,m(X0,iPr_def_28)) ),
inference(superposition,[status(thm)],[c_71227,c_66768]) ).
tcf(c_72533,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,s(X0))
| mem(iPr_def_12,u(iPr_def_25,X1))
| mem(sK0(iPr_def_13,s(X0)),iPr_def_23)
| ( X0 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_71227,c_38602]) ).
tcf(c_72534,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_10)
| mem(sK0(iPr_def_13,iPr_def_10),iPr_def_23)
| mem(iPr_def_12,u(iPr_def_25,X0))
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_71227,c_38603]) ).
tcf(c_72535,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_71227,c_6314]) ).
tcf(c_72536,plain,
! [X0: $i] : mem(iPr_def_24,u(iPr_def_25,X0)),
inference(superposition,[status(thm)],[c_71227,c_1135]) ).
tcf(c_72539,plain,
! [X0: $i] : mem(iPr_def_10,u(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_71227,c_2817]) ).
tcf(c_72540,plain,
! [X0: $i] : mem(iPr_def_12,u(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_71227,c_1522]) ).
tcf(c_72542,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,u(iPr_def_21,X2))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_23790]) ).
tcf(c_72543,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_17)
| mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,u(iPr_def_21,X0))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_7815]) ).
tcf(c_72545,plain,
! [X0: $i] : mem(iPr_def_19,u(iPr_def_21,X0)),
inference(superposition,[status(thm)],[c_71227,c_1538]) ).
tcf(c_72546,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_21,X0)),
inference(superposition,[status(thm)],[c_71227,c_1137]) ).
tcf(c_72549,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,u(iPr_def_22,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_27634]) ).
tcf(c_72551,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,u(iPr_def_22,X2))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_22900]) ).
tcf(c_72553,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_16)
| mem(iPr_def_12,u(iPr_def_22,X0))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6441]) ).
tcf(c_72554,plain,
! [X0: $i] : mem(iPr_def_19,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_71227,c_1565]) ).
tcf(c_72555,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_71227,c_1543]) ).
tcf(c_72556,plain,
! [X0: $i] : mem(iPr_def_14,u(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_71227,c_1138]) ).
tcf(c_72557,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| mem(iPr_def_12,u(iPr_def_23,X2))
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71227,c_66063]) ).
tcf(c_72562,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_23,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_27589]) ).
tcf(c_72564,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_23,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_27559]) ).
tcf(c_72565,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_23,X2))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_22793]) ).
tcf(c_72567,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( iPr_def_10 = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_7890]) ).
tcf(c_72568,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( e = iPr_def_12 )
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_7860]) ).
tcf(c_72569,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_12) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6989]) ).
tcf(c_72570,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_18)
| mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6970]) ).
tcf(c_72571,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6728]) ).
tcf(c_72572,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6713]) ).
tcf(c_72573,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_16) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6698]) ).
tcf(c_72574,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| mem(iPr_def_12,u(iPr_def_23,X1))
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6471]) ).
tcf(c_72575,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( iPr_def_12 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_6378]) ).
tcf(c_72576,plain,
! [X0: $i] : mem(iPr_def_19,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_71227,c_1637]) ).
tcf(c_72577,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_71227,c_1613]) ).
tcf(c_72578,plain,
! [X0: $i] : mem(iPr_def_14,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_71227,c_1583]) ).
tcf(c_72579,plain,
! [X0: $i] : mem(iPr_def_15,u(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_71227,c_1139]) ).
tcf(c_72582,plain,
! [X0: $i] : mem(iPr_def_24,u(iPr_def_26,X0)),
inference(superposition,[status(thm)],[c_71227,c_1761]) ).
tcf(c_72583,plain,
! [X0: $i] : mem(iPr_def_12,u(iPr_def_26,X0)),
inference(superposition,[status(thm)],[c_71227,c_1329]) ).
tcf(c_72594,plain,
! [X0: $i] : mem(iPr_def_24,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_71227,c_1774]) ).
tcf(c_72595,plain,
! [X0: $i] : mem(iPr_def_12,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_71227,c_1766]) ).
tcf(c_72596,plain,
! [X0: $i] : mem(iPr_def_19,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_71227,c_1753]) ).
tcf(c_72597,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_71227,c_1745]) ).
tcf(c_72598,plain,
! [X0: $i] : mem(iPr_def_14,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_71227,c_1724]) ).
tcf(c_72599,plain,
! [X0: $i] : mem(iPr_def_15,u(iPr_def_27,X0)),
inference(superposition,[status(thm)],[c_71227,c_1350]) ).
tcf(c_72610,plain,
! [X0: $i] : mem(iPr_def_24,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_71227,c_1770]) ).
tcf(c_72611,plain,
! [X0: $i] : mem(iPr_def_12,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_71227,c_2046]) ).
tcf(c_72612,plain,
! [X0: $i] : mem(iPr_def_19,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_71227,c_1749]) ).
tcf(c_72613,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_71227,c_1728]) ).
tcf(c_72614,plain,
! [X0: $i] : mem(iPr_def_14,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_71227,c_1720]) ).
tcf(c_72615,plain,
! [X0: $i] : mem(iPr_def_15,u(iPr_def_28,X0)),
inference(superposition,[status(thm)],[c_71227,c_1381]) ).
tcf(c_72620,plain,
! [X0: $i] : mem(iPr_def_10,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_71227,c_2814]) ).
tcf(c_72621,plain,
! [X0: $i] : mem(iPr_def_12,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_71227,c_1548]) ).
tcf(c_72622,plain,
! [X0: $i] : mem(e,u(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_71227,c_1406]) ).
tcf(c_72627,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(iPr_def_24,X0))
| ( sK0(iPr_def_25,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71227,c_7103]) ).
tcf(c_72628,plain,
! [X0: $i] : mem(iPr_def_10,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_71227,c_2812]) ).
tcf(c_72629,plain,
! [X0: $i] : mem(iPr_def_18,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_71227,c_1757]) ).
tcf(c_72630,plain,
! [X0: $i] : mem(e,u(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_71227,c_1411]) ).
tcf(c_72923,plain,
! [X0: $i] : subq(m(iPr_def_23,X0),iPr_def_28),
inference(superposition,[status(thm)],[c_1000,c_71522]) ).
tcf(c_72925,plain,
! [X0: $i] :
( subq(X0,iPr_def_28)
| ~ subq(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_1123,c_71522]) ).
tcf(c_72927,plain,
( subq(iPr_def_12,iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3216,c_71522]) ).
tcf(c_72928,plain,
( subq(iPr_def_12,iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2956,c_71522]) ).
tcf(c_72929,plain,
( subq(iPr_def_12,iPr_def_28)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2559,c_71522]) ).
tcf(c_72930,plain,
( subq(iPr_def_12,iPr_def_28)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2089,c_71522]) ).
tcf(c_72945,plain,
( subq(iPr_def_18,iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2278,c_71522]) ).
tcf(c_72956,plain,
( subq(iPr_def_10,iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3180,c_71522]) ).
tcf(c_72957,plain,
( subq(iPr_def_10,iPr_def_28)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3168,c_71522]) ).
tcf(c_72958,plain,
( subq(iPr_def_10,iPr_def_28)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2992,c_71522]) ).
tcf(c_72959,plain,
( subq(iPr_def_14,iPr_def_28)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2544,c_71522]) ).
tcf(c_73064,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_14,X1))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_71234,c_38610]) ).
tcf(c_73065,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_14,X1))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_71234,c_29598]) ).
tcf(c_73067,plain,
! [X0: $i] :
( ( u(iPr_def_14,X0) = iPr_def_12 )
| ~ subq(u(iPr_def_14,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_71234,c_52]) ).
tcf(c_73068,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,p(u(iPr_def_14,X1)))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71234,c_8782]) ).
tcf(c_73116,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_21,X1))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_71235,c_38610]) ).
tcf(c_73117,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_21,X1))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_71235,c_29598]) ).
tcf(c_73118,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(iPr_def_21,X0))
| ( sK0(iPr_def_25,iPr_def_19) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71235,c_6475]) ).
tcf(c_73119,plain,
! [X0: $i] :
( ( u(iPr_def_21,X0) = iPr_def_19 )
| ~ subq(u(iPr_def_21,X0),iPr_def_19) ),
inference(superposition,[status(thm)],[c_71235,c_52]) ).
tcf(c_73233,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_22,X1))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_71236,c_38610]) ).
tcf(c_73234,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_22,X1))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_71236,c_29598]) ).
tcf(c_73235,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(iPr_def_22,X0))
| ( sK0(iPr_def_25,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71236,c_6475]) ).
tcf(c_73236,plain,
! [X0: $i] :
( ( u(iPr_def_22,X0) = iPr_def_17 )
| ~ subq(u(iPr_def_22,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_71236,c_52]) ).
tcf(c_73257,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_23,X1))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_71237,c_38610]) ).
tcf(c_73258,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_23,X1))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_71237,c_29598]) ).
tcf(c_73260,plain,
! [X0: $i] :
( ( u(iPr_def_23,X0) = iPr_def_16 )
| ~ subq(u(iPr_def_23,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_71237,c_52]) ).
tcf(c_73277,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_25,X1))
| mem(sK0(iPr_def_26,u(iPr_def_25,X1)),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_71331,c_51]) ).
tcf(c_73278,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_22)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_16) ),
inference(superposition,[status(thm)],[c_71331,c_1252]) ).
tcf(c_73279,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_28) ),
inference(superposition,[status(thm)],[c_71331,c_890]) ).
tcf(c_73280,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_27) ),
inference(superposition,[status(thm)],[c_71331,c_889]) ).
tcf(c_73281,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_25,X1))
| mem(sK0(iPr_def_26,u(iPr_def_25,X1)),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_71331,c_29602]) ).
tcf(c_73299,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_25,X1))
| mem(sK0(iPr_def_13,u(iPr_def_25,X1)),X0)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_71332,c_51]) ).
tcf(c_73300,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_22)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_16) ),
inference(superposition,[status(thm)],[c_71332,c_1252]) ).
tcf(c_73301,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_28) ),
inference(superposition,[status(thm)],[c_71332,c_890]) ).
tcf(c_73302,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_27) ),
inference(superposition,[status(thm)],[c_71332,c_889]) ).
tcf(c_73303,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_25,X1))
| mem(sK0(iPr_def_13,u(iPr_def_25,X1)),iPr_def_23)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_71332,c_38614]) ).
tcf(c_73320,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X1)
| ~ subq(u(iPr_def_28,X0),X1) ),
inference(superposition,[status(thm)],[c_72611,c_51]) ).
tcf(c_73322,plain,
! [X0: $i,X1: $i] : sK0(iPr_def_13,m(X0,u(iPr_def_28,X1))) = iPr_def_12,
inference(superposition,[status(thm)],[c_72611,c_4210]) ).
tcf(c_73323,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(X0,u(u(iPr_def_28,X1),X2))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72611,c_8779]) ).
tcf(c_73324,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,iPr_def_23)
| ( sK0(iPr_def_25,m(m(X0,u(iPr_def_28,X1)),X2)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72611,c_8377]) ).
tcf(c_73523,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_71354,c_38610]) ).
tcf(c_73524,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_71354,c_29598]) ).
tcf(c_73525,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_26) = iPr_def_24 )
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71354,c_6475]) ).
tcf(c_73526,plain,
! [X0: $i] :
( ( u(iPr_def_23,X0) = iPr_def_26 )
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(u(iPr_def_23,X0),iPr_def_26) ),
inference(superposition,[status(thm)],[c_71354,c_52]) ).
tcf(c_73527,plain,
! [X0: $i] :
( subq(iPr_def_25,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71354,c_28618]) ).
tcf(c_73528,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71354,c_23356]) ).
tcf(c_73529,plain,
! [X0: $i] :
( mem(iPr_def_24,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71354,c_1761]) ).
tcf(c_73530,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71354,c_1329]) ).
tcf(c_73546,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73524,c_2720]) ).
tcf(c_73551,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73523,c_2720]) ).
tcf(c_73581,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,X2)
| subq(iPr_def_10,X0)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_24,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_31794,c_38610]) ).
tcf(c_73582,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_10,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_24,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_31794,c_29598]) ).
tcf(c_73583,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_10,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_10,X1)) = iPr_def_24 )
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_31794,c_6475]) ).
tcf(c_73584,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X1)
| ( sK0(iPr_def_10,X1) = X0 )
| ~ subq(iPr_def_24,p(X0))
| ~ subq(X0,sK0(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_31794,c_52]) ).
tcf(c_73585,plain,
! [X0: $i] :
( subq(iPr_def_10,p(X0))
| ~ subq(iPr_def_24,p(X0)) ),
inference(superposition,[status(thm)],[c_31794,c_783]) ).
tcf(c_73586,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(sK0(iPr_def_10,X0),X1)
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_31794,c_18912]) ).
tcf(c_73588,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| ( m(sK0(iPr_def_10,X0),X1) = sK0(iPr_def_10,X0) )
| ~ subq(iPr_def_24,p(m(sK0(iPr_def_10,X0),X1))) ),
inference(superposition,[status(thm)],[c_31794,c_18770]) ).
tcf(c_73589,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_10,X0)
| subq(sK0(iPr_def_10,X0),p(X1))
| ~ subq(iPr_def_24,p(p(e))) ),
inference(superposition,[status(thm)],[c_31794,c_22959]) ).
tcf(c_73590,plain,
! [X0: $i] :
( subq(iPr_def_10,p(X0))
| ~ subq(iPr_def_24,p(e)) ),
inference(superposition,[status(thm)],[c_31794,c_21696]) ).
tcf(c_73636,plain,
! [X0: $i] : subq(m(iPr_def_23,X0),iPr_def_27),
inference(superposition,[status(thm)],[c_1000,c_71525]) ).
tcf(c_73638,plain,
! [X0: $i] :
( subq(X0,iPr_def_27)
| ~ subq(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_1123,c_71525]) ).
tcf(c_73640,plain,
( subq(iPr_def_12,iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3216,c_71525]) ).
tcf(c_73641,plain,
( subq(iPr_def_12,iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2956,c_71525]) ).
tcf(c_73642,plain,
( subq(iPr_def_12,iPr_def_27)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2559,c_71525]) ).
tcf(c_73643,plain,
( subq(iPr_def_12,iPr_def_27)
| ~ subq(iPr_def_14,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2089,c_71525]) ).
tcf(c_73658,plain,
( subq(iPr_def_18,iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2278,c_71525]) ).
tcf(c_73669,plain,
( subq(iPr_def_10,iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3180,c_71525]) ).
tcf(c_73670,plain,
( subq(iPr_def_10,iPr_def_27)
| ~ subq(iPr_def_18,iPr_def_23) ),
inference(superposition,[status(thm)],[c_3168,c_71525]) ).
tcf(c_73671,plain,
( subq(iPr_def_10,iPr_def_27)
| ~ subq(iPr_def_24,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2992,c_71525]) ).
tcf(c_73672,plain,
( subq(iPr_def_14,iPr_def_27)
| ~ subq(iPr_def_15,iPr_def_23) ),
inference(superposition,[status(thm)],[c_2544,c_71525]) ).
tcf(c_73850,plain,
! [X0: $i] : subq(m(iPr_def_13,X0),iPr_def_26),
inference(superposition,[status(thm)],[c_1000,c_71528]) ).
tcf(c_73851,plain,
! [X0: $i] :
( subq(X0,iPr_def_26)
| ~ subq(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1123,c_71528]) ).
tcf(c_73852,plain,
( subq(iPr_def_12,iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3216,c_71528]) ).
tcf(c_73853,plain,
( subq(iPr_def_12,iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2956,c_71528]) ).
tcf(c_73854,plain,
( subq(iPr_def_12,iPr_def_26)
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2559,c_71528]) ).
tcf(c_73855,plain,
( subq(iPr_def_12,iPr_def_26)
| ~ subq(iPr_def_14,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2089,c_71528]) ).
tcf(c_73856,plain,
( subq(iPr_def_19,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3729,c_71528]) ).
tcf(c_73857,plain,
( subq(iPr_def_19,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3715,c_71528]) ).
tcf(c_73858,plain,
( subq(iPr_def_19,iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3460,c_71528]) ).
tcf(c_73859,plain,
( subq(iPr_def_19,iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3006,c_71528]) ).
tcf(c_73860,plain,
( subq(iPr_def_19,iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2707,c_71528]) ).
tcf(c_73861,plain,
( subq(iPr_def_19,iPr_def_26)
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2184,c_71528]) ).
tcf(c_73862,plain,
( subq(iPr_def_17,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3533,c_71528]) ).
tcf(c_73863,plain,
( subq(iPr_def_17,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3518,c_71528]) ).
tcf(c_73864,plain,
( subq(iPr_def_17,iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3024,c_71528]) ).
tcf(c_73865,plain,
( subq(iPr_def_17,iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2210,c_71528]) ).
tcf(c_73866,plain,
( subq(iPr_def_16,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3096,c_71528]) ).
tcf(c_73867,plain,
( subq(iPr_def_16,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3075,c_71528]) ).
tcf(c_73868,plain,
( subq(iPr_def_16,iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2244,c_71528]) ).
tcf(c_73869,plain,
( subq(iPr_def_18,iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2278,c_71528]) ).
tcf(c_73878,plain,
( subq(iPr_def_23,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2459,c_71528]) ).
tcf(c_73879,plain,
( subq(iPr_def_23,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2439,c_71528]) ).
tcf(c_73880,plain,
( subq(iPr_def_10,iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3180,c_71528]) ).
tcf(c_73881,plain,
( subq(iPr_def_10,iPr_def_26)
| ~ subq(iPr_def_18,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3168,c_71528]) ).
tcf(c_73882,plain,
( subq(iPr_def_10,iPr_def_26)
| ~ subq(iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2992,c_71528]) ).
tcf(c_73883,plain,
( subq(iPr_def_14,iPr_def_26)
| ~ subq(iPr_def_15,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2544,c_71528]) ).
tcf(c_73884,plain,
( subq(iPr_def_20,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3759,c_71528]) ).
tcf(c_73885,plain,
( subq(iPr_def_20,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3744,c_71528]) ).
tcf(c_73886,plain,
( subq(iPr_def_20,iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3580,c_71528]) ).
tcf(c_73887,plain,
( subq(iPr_def_20,iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3276,c_71528]) ).
tcf(c_73888,plain,
( subq(iPr_def_20,iPr_def_26)
| ~ subq(iPr_def_21,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2601,c_71528]) ).
tcf(c_73889,plain,
( subq(iPr_def_21,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3629,c_71528]) ).
tcf(c_73890,plain,
( subq(iPr_def_21,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3614,c_71528]) ).
tcf(c_73891,plain,
( subq(iPr_def_21,iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3294,c_71528]) ).
tcf(c_73892,plain,
( subq(iPr_def_21,iPr_def_26)
| ~ subq(iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2619,c_71528]) ).
tcf(c_73893,plain,
( subq(iPr_def_22,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3355,c_71528]) ).
tcf(c_73894,plain,
( subq(iPr_def_22,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3332,c_71528]) ).
tcf(c_73895,plain,
( subq(iPr_def_22,iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2683,c_71528]) ).
tcf(c_73899,plain,
( subq(iPr_def_26,iPr_def_26)
| ~ subq(iPr_def_28,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29542,c_71528]) ).
tcf(c_73900,plain,
( subq(iPr_def_26,iPr_def_26)
| mem(sK0(iPr_def_26,iPr_def_26),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_26),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29594,c_71528]) ).
tcf(c_73901,plain,
( subq(iPr_def_26,iPr_def_26)
| ( sK0(iPr_def_26,iPr_def_26) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29555,c_71528]) ).
tcf(c_73902,plain,
( subq(iPr_def_26,iPr_def_26)
| mem(sK0(iPr_def_26,iPr_def_26),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_29493,c_71528]) ).
tcf(c_73903,plain,
( subq(iPr_def_26,iPr_def_26)
| ~ subq(iPr_def_27,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2759,c_71528]) ).
tcf(c_73906,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_26)
| mem(sK0(iPr_def_26,iPr_def_26),X0)
| ~ subq(iPr_def_25,iPr_def_13)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71528]) ).
tcf(c_73907,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_26)
| mem(sK0(iPr_def_26,iPr_def_26),X0)
| ~ subq(iPr_def_23,iPr_def_13)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71528]) ).
tcf(c_73988,plain,
! [X0: $i] : subq(m(iPr_def_18,X0),iPr_def_24),
inference(superposition,[status(thm)],[c_1000,c_71531]) ).
tcf(c_73989,plain,
! [X0: $i] :
( subq(X0,iPr_def_24)
| ~ subq(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_1123,c_71531]) ).
tcf(c_74001,plain,
( subq(iPr_def_17,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3533,c_71531]) ).
tcf(c_74002,plain,
( subq(iPr_def_17,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3518,c_71531]) ).
tcf(c_74003,plain,
( subq(iPr_def_17,iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3024,c_71531]) ).
tcf(c_74004,plain,
( subq(iPr_def_17,iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2210,c_71531]) ).
tcf(c_74005,plain,
( subq(iPr_def_16,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3096,c_71531]) ).
tcf(c_74006,plain,
( subq(iPr_def_16,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3075,c_71531]) ).
tcf(c_74007,plain,
( subq(iPr_def_16,iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2244,c_71531]) ).
tcf(c_74009,plain,
( subq(iPr_def_13,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38447,c_71531]) ).
tcf(c_74011,plain,
( subq(iPr_def_13,iPr_def_24)
| ( sK0(iPr_def_13,iPr_def_24) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_38462,c_71531]) ).
tcf(c_74012,plain,
( subq(iPr_def_13,iPr_def_24)
| ~ subq(iPr_def_15,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3193,c_71531]) ).
tcf(c_74014,plain,
( subq(iPr_def_13,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3153,c_71531]) ).
tcf(c_74015,plain,
( subq(iPr_def_13,iPr_def_24)
| ~ subq(iPr_def_14,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2526,c_71531]) ).
tcf(c_74016,plain,
( subq(iPr_def_13,iPr_def_24)
| ~ subq(iPr_def_26,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2331,c_71531]) ).
tcf(c_74017,plain,
( subq(iPr_def_23,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2459,c_71531]) ).
tcf(c_74018,plain,
( subq(iPr_def_23,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2439,c_71531]) ).
tcf(c_74023,plain,
( subq(iPr_def_14,iPr_def_24)
| ~ subq(iPr_def_15,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2544,c_71531]) ).
tcf(c_74024,plain,
( subq(iPr_def_20,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3759,c_71531]) ).
tcf(c_74025,plain,
( subq(iPr_def_20,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3744,c_71531]) ).
tcf(c_74026,plain,
( subq(iPr_def_20,iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3580,c_71531]) ).
tcf(c_74027,plain,
( subq(iPr_def_20,iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3276,c_71531]) ).
tcf(c_74028,plain,
( subq(iPr_def_20,iPr_def_24)
| ~ subq(iPr_def_21,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2601,c_71531]) ).
tcf(c_74029,plain,
( subq(iPr_def_21,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3629,c_71531]) ).
tcf(c_74030,plain,
( subq(iPr_def_21,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3614,c_71531]) ).
tcf(c_74031,plain,
( subq(iPr_def_21,iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3294,c_71531]) ).
tcf(c_74032,plain,
( subq(iPr_def_21,iPr_def_24)
| ~ subq(iPr_def_22,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2619,c_71531]) ).
tcf(c_74033,plain,
( subq(iPr_def_22,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3355,c_71531]) ).
tcf(c_74034,plain,
( subq(iPr_def_22,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3332,c_71531]) ).
tcf(c_74035,plain,
( subq(iPr_def_22,iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2683,c_71531]) ).
tcf(c_74036,plain,
( subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_3382,c_71531]) ).
tcf(c_74037,plain,
( subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2774,c_71531]) ).
tcf(c_74038,plain,
( subq(iPr_def_25,iPr_def_24)
| ~ subq(iPr_def_26,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2721,c_71531]) ).
tcf(c_74039,plain,
( subq(iPr_def_26,iPr_def_24)
| ~ subq(iPr_def_28,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29542,c_71531]) ).
tcf(c_74041,plain,
( subq(iPr_def_26,iPr_def_24)
| ( sK0(iPr_def_26,iPr_def_24) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_29555,c_71531]) ).
tcf(c_74043,plain,
( subq(iPr_def_26,iPr_def_24)
| ~ subq(iPr_def_27,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2759,c_71531]) ).
tcf(c_74045,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_24)
| mem(sK0(iPr_def_13,iPr_def_24),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71531]) ).
tcf(c_74047,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_24)
| mem(sK0(iPr_def_26,iPr_def_24),X0)
| ~ subq(iPr_def_23,iPr_def_18)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71531]) ).
tcf(c_74214,plain,
! [X0: $i] : subq(m(iPr_def_16,X0),iPr_def_23),
inference(superposition,[status(thm)],[c_1000,c_71534]) ).
tcf(c_74215,plain,
! [X0: $i] :
( subq(X0,iPr_def_23)
| ~ subq(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_1123,c_71534]) ).
tcf(c_74216,plain,
( subq(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3216,c_71534]) ).
tcf(c_74217,plain,
( subq(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2956,c_71534]) ).
tcf(c_74218,plain,
( subq(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2559,c_71534]) ).
tcf(c_74219,plain,
( subq(iPr_def_12,iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2089,c_71534]) ).
tcf(c_74233,plain,
( subq(iPr_def_18,iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2278,c_71534]) ).
tcf(c_74234,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38447,c_71534]) ).
tcf(c_74235,plain,
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_23),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_38606,c_71534]) ).
tcf(c_74237,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3193,c_71534]) ).
tcf(c_74239,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3153,c_71534]) ).
tcf(c_74240,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_14,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2526,c_71534]) ).
tcf(c_74241,plain,
( subq(iPr_def_13,iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2331,c_71534]) ).
tcf(c_74242,plain,
( subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2459,c_71534]) ).
tcf(c_74243,plain,
( subq(iPr_def_23,iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2439,c_71534]) ).
tcf(c_74244,plain,
( subq(iPr_def_10,iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3180,c_71534]) ).
tcf(c_74245,plain,
( subq(iPr_def_10,iPr_def_23)
| ~ subq(iPr_def_18,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3168,c_71534]) ).
tcf(c_74246,plain,
( subq(iPr_def_10,iPr_def_23)
| ~ subq(iPr_def_24,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2992,c_71534]) ).
tcf(c_74247,plain,
( subq(iPr_def_14,iPr_def_23)
| ~ subq(iPr_def_15,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2544,c_71534]) ).
tcf(c_74260,plain,
( subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_3382,c_71534]) ).
tcf(c_74261,plain,
( subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2774,c_71534]) ).
tcf(c_74262,plain,
( subq(iPr_def_25,iPr_def_23)
| ~ subq(iPr_def_26,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2721,c_71534]) ).
tcf(c_74263,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_28,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29542,c_71534]) ).
tcf(c_74264,plain,
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_23),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_29594,c_71534]) ).
tcf(c_74267,plain,
( subq(iPr_def_26,iPr_def_23)
| ~ subq(iPr_def_27,iPr_def_16) ),
inference(superposition,[status(thm)],[c_2759,c_71534]) ).
tcf(c_74268,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71534]) ).
tcf(c_74269,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_23)
| mem(sK0(iPr_def_13,iPr_def_23),X0)
| ~ subq(iPr_def_23,iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71534]) ).
tcf(c_74270,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_25,iPr_def_16)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71534]) ).
tcf(c_74271,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_23)
| mem(sK0(iPr_def_26,iPr_def_23),X0)
| ~ subq(iPr_def_23,iPr_def_16)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71534]) ).
tcf(c_74339,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_24,X1))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_71238,c_38610]) ).
tcf(c_74340,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_24,X1))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_71238,c_29598]) ).
tcf(c_74342,plain,
! [X0: $i] :
( ( u(iPr_def_24,X0) = iPr_def_18 )
| ~ subq(u(iPr_def_24,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_71238,c_52]) ).
tcf(c_74360,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_26,X1))
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_71239,c_38610]) ).
tcf(c_74361,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_26,X1))
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_71239,c_29598]) ).
tcf(c_74363,plain,
! [X0: $i] :
( ( u(iPr_def_26,X0) = iPr_def_13 )
| ~ subq(u(iPr_def_26,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_71239,c_52]) ).
tcf(c_74378,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_27,X1))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_71241,c_38610]) ).
tcf(c_74379,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_27,X1))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_71241,c_29598]) ).
tcf(c_74381,plain,
! [X0: $i] :
( ( u(iPr_def_27,X0) = iPr_def_23 )
| ~ subq(u(iPr_def_27,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_71241,c_52]) ).
tcf(c_74382,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| mem(iPr_def_12,u(iPr_def_27,X2))
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71241,c_66063]) ).
tcf(c_74387,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_27,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71241,c_27589]) ).
tcf(c_74389,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_27,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71241,c_27559]) ).
tcf(c_74390,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_27,X2))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71241,c_22793]) ).
tcf(c_74399,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| mem(iPr_def_12,u(iPr_def_27,X1))
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71241,c_6471]) ).
tcf(c_74538,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_23)
| mem(sK0(iPr_def_13,X0),u(iPr_def_28,X1))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_71242,c_38610]) ).
tcf(c_74539,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X0)
| mem(sK0(iPr_def_26,X0),iPr_def_23)
| mem(sK0(iPr_def_26,X0),u(iPr_def_28,X1))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_71242,c_29598]) ).
tcf(c_74541,plain,
! [X0: $i] :
( ( u(iPr_def_28,X0) = iPr_def_23 )
| ~ subq(u(iPr_def_28,X0),iPr_def_23) ),
inference(superposition,[status(thm)],[c_71242,c_52]) ).
tcf(c_74542,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,X0)
| mem(iPr_def_12,u(iPr_def_28,X2))
| subq(iPr_def_13,m(X1,iPr_def_28))
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71242,c_66063]) ).
tcf(c_74547,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_28,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_25,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71242,c_27589]) ).
tcf(c_74549,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_28,X2))
| ( sK0(iPr_def_25,m(X0,u(iPr_def_28,X1))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71242,c_27559]) ).
tcf(c_74550,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(iPr_def_12,u(iPr_def_28,X2))
| ( sK0(iPr_def_25,m(m(X0,iPr_def_28),X1)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71242,c_22793]) ).
tcf(c_74559,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,X0)
| mem(iPr_def_12,u(iPr_def_28,X1))
| ( sK0(iPr_def_25,X0) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71242,c_6471]) ).
tcf(c_74582,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,X1)
| mem(sK0(iPr_def_13,X1),iPr_def_23)
| mem(sK0(iPr_def_13,X1),u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_71371,c_38610]) ).
tcf(c_74583,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,X1)
| mem(sK0(iPr_def_26,X1),iPr_def_23)
| mem(sK0(iPr_def_26,X1),u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_71371,c_29598]) ).
tcf(c_74584,plain,
! [X0: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_25,iPr_def_13) = iPr_def_24 )
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71371,c_6475]) ).
tcf(c_74585,plain,
! [X0: $i] :
( ( u(iPr_def_23,X0) = iPr_def_13 )
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_24 )
| ~ subq(u(iPr_def_23,X0),iPr_def_13) ),
inference(superposition,[status(thm)],[c_71371,c_52]) ).
tcf(c_74586,plain,
! [X0: $i] :
( mem(iPr_def_12,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_71371,c_1130]) ).
tcf(c_74617,plain,
( mem(sK0(iPr_def_13,iPr_def_14),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_12,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_267,c_71280]) ).
tcf(c_74618,plain,
( mem(sK0(iPr_def_13,iPr_def_21),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_19,iPr_def_20))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_274,c_71280]) ).
tcf(c_74619,plain,
( mem(sK0(iPr_def_13,iPr_def_22),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_17,iPr_def_21))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_275,c_71280]) ).
tcf(c_74620,plain,
( mem(sK0(iPr_def_13,iPr_def_23),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_16,iPr_def_22))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_276,c_71280]) ).
tcf(c_74621,plain,
( mem(sK0(iPr_def_13,iPr_def_24),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_18,iPr_def_19))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_277,c_71280]) ).
tcf(c_74622,plain,
( mem(sK0(iPr_def_13,iPr_def_26),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_13,iPr_def_25))
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_279,c_71280]) ).
tcf(c_74623,plain,
( mem(sK0(iPr_def_13,iPr_def_27),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_23,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_280,c_71280]) ).
tcf(c_74624,plain,
( mem(sK0(iPr_def_13,iPr_def_28),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_23,iPr_def_25))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_281,c_71280]) ).
tcf(c_74625,plain,
( mem(sK0(iPr_def_13,iPr_def_18),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_10,iPr_def_12))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2829,c_71280]) ).
tcf(c_74626,plain,
( mem(sK0(iPr_def_13,iPr_def_15),iPr_def_23)
| subq(iPr_def_13,u(iPr_def_10,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2830,c_71280]) ).
tcf(c_74629,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| mem(sK0(iPr_def_13,u(X0,X1)),iPr_def_28)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71280,c_890]) ).
tcf(c_74630,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(X0,X1))
| mem(sK0(iPr_def_13,u(X0,X1)),iPr_def_27)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71280,c_889]) ).
tcf(c_74632,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(X1,X2))
| mem(sK0(iPr_def_13,u(X1,X2)),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_71280,c_38614]) ).
tcf(c_74633,plain,
( subq(iPr_def_13,iPr_def_15)
| mem(sK0(iPr_def_13,iPr_def_15),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_74626,c_2830]) ).
tcf(c_74634,plain,
( subq(iPr_def_13,iPr_def_18)
| mem(sK0(iPr_def_13,iPr_def_18),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_74625,c_2829]) ).
tcf(c_74638,plain,
( subq(iPr_def_13,iPr_def_28)
| mem(sK0(iPr_def_13,iPr_def_28),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(light_normalisation,[status(thm)],[c_74624,c_281]) ).
tcf(c_74639,plain,
( subq(iPr_def_13,iPr_def_27)
| mem(sK0(iPr_def_13,iPr_def_27),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(light_normalisation,[status(thm)],[c_74623,c_280]) ).
tcf(c_74640,plain,
( subq(iPr_def_13,iPr_def_26)
| mem(sK0(iPr_def_13,iPr_def_26),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_74622,c_279]) ).
tcf(c_74643,plain,
( subq(iPr_def_13,iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_74619,c_275]) ).
tcf(c_74647,plain,
( subq(iPr_def_13,iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_21),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_74618,c_274]) ).
tcf(c_74651,plain,
( subq(iPr_def_13,iPr_def_14)
| mem(sK0(iPr_def_13,iPr_def_14),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_74617,c_267]) ).
tcf(c_74669,plain,
( mem(sK0(iPr_def_26,iPr_def_14),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_12,iPr_def_13))
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_267,c_71318]) ).
tcf(c_74670,plain,
( mem(sK0(iPr_def_26,iPr_def_21),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_19,iPr_def_20))
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_274,c_71318]) ).
tcf(c_74671,plain,
( mem(sK0(iPr_def_26,iPr_def_22),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_17,iPr_def_21))
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_275,c_71318]) ).
tcf(c_74672,plain,
( mem(sK0(iPr_def_26,iPr_def_23),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_16,iPr_def_22))
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_276,c_71318]) ).
tcf(c_74673,plain,
( mem(sK0(iPr_def_26,iPr_def_24),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_18,iPr_def_19))
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_277,c_71318]) ).
tcf(c_74674,plain,
( mem(sK0(iPr_def_26,iPr_def_26),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_13,iPr_def_25))
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_279,c_71318]) ).
tcf(c_74675,plain,
( mem(sK0(iPr_def_26,iPr_def_27),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_23,iPr_def_26))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_280,c_71318]) ).
tcf(c_74676,plain,
( mem(sK0(iPr_def_26,iPr_def_28),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_23,iPr_def_25))
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_281,c_71318]) ).
tcf(c_74677,plain,
( mem(sK0(iPr_def_26,iPr_def_18),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_10,iPr_def_12))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2829,c_71318]) ).
tcf(c_74678,plain,
( mem(sK0(iPr_def_26,iPr_def_15),iPr_def_23)
| subq(iPr_def_26,u(iPr_def_10,iPr_def_14))
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2830,c_71318]) ).
tcf(c_74681,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| mem(sK0(iPr_def_26,u(X0,X1)),iPr_def_28)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71318,c_890]) ).
tcf(c_74682,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(X0,X1))
| mem(sK0(iPr_def_26,u(X0,X1)),iPr_def_27)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_71318,c_889]) ).
tcf(c_74684,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(X1,X2))
| mem(sK0(iPr_def_26,u(X1,X2)),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_71318,c_29602]) ).
tcf(c_74685,plain,
( subq(iPr_def_26,iPr_def_15)
| mem(sK0(iPr_def_26,iPr_def_15),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_74678,c_2830]) ).
tcf(c_74689,plain,
( subq(iPr_def_26,iPr_def_18)
| mem(sK0(iPr_def_26,iPr_def_18),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_74677,c_2829]) ).
tcf(c_74693,plain,
( subq(iPr_def_26,iPr_def_28)
| mem(sK0(iPr_def_26,iPr_def_28),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(light_normalisation,[status(thm)],[c_74676,c_281]) ).
tcf(c_74694,plain,
( subq(iPr_def_26,iPr_def_27)
| mem(sK0(iPr_def_26,iPr_def_27),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(light_normalisation,[status(thm)],[c_74675,c_280]) ).
tcf(c_74698,plain,
( subq(iPr_def_26,iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_74671,c_275]) ).
tcf(c_74702,plain,
( subq(iPr_def_26,iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_21),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(light_normalisation,[status(thm)],[c_74670,c_274]) ).
tcf(c_74706,plain,
( subq(iPr_def_26,iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_14),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_74669,c_267]) ).
tcf(c_74726,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,iPr_def_26))
| mem(sK0(iPr_def_26,iPr_def_27),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_280,c_71383]) ).
tcf(c_74727,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,iPr_def_25))
| mem(sK0(iPr_def_26,iPr_def_28),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_281,c_71383]) ).
tcf(c_74729,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_23,X2))
| mem(sK0(iPr_def_26,u(iPr_def_23,X2)),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_71383,c_51]) ).
tcf(c_74731,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_23,X1))
| ( sK0(iPr_def_26,u(iPr_def_23,X1)) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_71383,c_55]) ).
tcf(c_74732,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_23,X2))
| mem(sK0(iPr_def_26,u(iPr_def_23,X2)),X1)
| mem(sK0(iPr_def_26,u(iPr_def_23,X2)),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_71383,c_58]) ).
tcf(c_74733,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,m(X2,X1))
| ~ mem(sK0(iPr_def_26,u(iPr_def_23,X0)),X1) ),
inference(superposition,[status(thm)],[c_71383,c_61]) ).
tcf(c_74734,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_23,X2))
| mem(sK0(iPr_def_26,u(iPr_def_23,X2)),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_71383,c_60]) ).
tcf(c_74735,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_23,X1))
| subq(sK0(iPr_def_26,u(iPr_def_23,X1)),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_71383,c_63]) ).
tcf(c_74745,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_71383,c_886]) ).
tcf(c_74746,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_71383,c_796]) ).
tcf(c_74747,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_71383,c_885]) ).
tcf(c_74748,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_71383,c_797]) ).
tcf(c_74749,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_18 )
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_71383,c_798]) ).
tcf(c_74750,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_71383,c_940]) ).
tcf(c_74751,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_71383,c_884]) ).
tcf(c_74752,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| ( sK0(iPr_def_26,u(iPr_def_23,X0)) = iPr_def_19 )
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_71383,c_799]) ).
tcf(c_74753,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_21)
| ~ subq(iPr_def_25,iPr_def_20) ),
inference(superposition,[status(thm)],[c_71383,c_937]) ).
tcf(c_74755,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_71383,c_943]) ).
tcf(c_74756,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_26)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_71383,c_941]) ).
tcf(c_74761,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_71383,c_887]) ).
tcf(c_74762,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_20)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_71383,c_1250]) ).
tcf(c_74763,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_71383,c_938]) ).
tcf(c_74764,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_21)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_17)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_71383,c_1251]) ).
tcf(c_74765,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_71383,c_939]) ).
tcf(c_74766,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_22)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_71383,c_1252]) ).
tcf(c_74770,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_13)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_71383,c_1254]) ).
tcf(c_74771,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_71383,c_942]) ).
tcf(c_74773,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_28) ),
inference(superposition,[status(thm)],[c_71383,c_1256]) ).
tcf(c_74775,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_23,X2))
| mem(sK0(iPr_def_26,u(iPr_def_23,X2)),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_71383,c_29602]) ).
tcf(c_74776,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_28)
| mem(sK0(iPr_def_26,iPr_def_28),X0)
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_74727,c_281]) ).
tcf(c_74777,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_27)
| mem(sK0(iPr_def_26,iPr_def_27),X0)
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_74726,c_280]) ).
tcf(c_74778,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74771,c_2720]) ).
tcf(c_74793,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74756,c_782]) ).
tcf(c_74796,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74755,c_782]) ).
tcf(c_74846,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74773,c_2773]) ).
tcf(c_74850,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_23,X0))
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_23,X0)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74770,c_2720]) ).
tcf(c_75072,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,iPr_def_26))
| mem(sK0(iPr_def_13,iPr_def_27),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_280,c_71385]) ).
tcf(c_75073,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,iPr_def_25))
| mem(sK0(iPr_def_13,iPr_def_28),X0)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_281,c_71385]) ).
tcf(c_75075,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_23,X2))
| mem(sK0(iPr_def_13,u(iPr_def_23,X2)),X1)
| ~ subq(iPr_def_25,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_71385,c_51]) ).
tcf(c_75077,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_23,X1))
| ( sK0(iPr_def_13,u(iPr_def_23,X1)) = X0 )
| ~ subq(iPr_def_25,s(X0)) ),
inference(superposition,[status(thm)],[c_71385,c_55]) ).
tcf(c_75078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_23,X2))
| mem(sK0(iPr_def_13,u(iPr_def_23,X2)),X1)
| mem(sK0(iPr_def_13,u(iPr_def_23,X2)),X0)
| ~ subq(iPr_def_25,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_71385,c_58]) ).
tcf(c_75079,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ~ subq(iPr_def_25,m(X2,X1))
| ~ mem(sK0(iPr_def_13,u(iPr_def_23,X0)),X1) ),
inference(superposition,[status(thm)],[c_71385,c_61]) ).
tcf(c_75080,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_23,X2))
| mem(sK0(iPr_def_13,u(iPr_def_23,X2)),X0)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_71385,c_60]) ).
tcf(c_75081,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_23,X1))
| subq(sK0(iPr_def_13,u(iPr_def_23,X1)),X0)
| ~ subq(iPr_def_25,p(X0)) ),
inference(superposition,[status(thm)],[c_71385,c_63]) ).
tcf(c_75082,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_10) ),
inference(superposition,[status(thm)],[c_71385,c_2826]) ).
tcf(c_75087,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_71385,c_881]) ).
tcf(c_75088,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_14)
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_71385,c_934]) ).
tcf(c_75090,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_12 )
| ~ subq(iPr_def_25,iPr_def_13) ),
inference(superposition,[status(thm)],[c_71385,c_795]) ).
tcf(c_75091,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_71385,c_886]) ).
tcf(c_75092,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_15 )
| ~ subq(iPr_def_25,iPr_def_16) ),
inference(superposition,[status(thm)],[c_71385,c_796]) ).
tcf(c_75093,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_71385,c_885]) ).
tcf(c_75094,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| ( sK0(iPr_def_13,u(iPr_def_23,X0)) = iPr_def_14 )
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_71385,c_797]) ).
tcf(c_75096,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_71385,c_940]) ).
tcf(c_75101,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_28)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_71385,c_943]) ).
tcf(c_75102,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_26)
| ~ subq(iPr_def_25,iPr_def_25) ),
inference(superposition,[status(thm)],[c_71385,c_941]) ).
tcf(c_75103,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_13)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_12)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_71385,c_1247]) ).
tcf(c_75104,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_15)
| ~ subq(iPr_def_25,iPr_def_14) ),
inference(superposition,[status(thm)],[c_71385,c_935]) ).
tcf(c_75105,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_14)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_10)
| ~ subq(iPr_def_25,iPr_def_15) ),
inference(superposition,[status(thm)],[c_71385,c_2900]) ).
tcf(c_75107,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_24)
| ~ subq(iPr_def_25,iPr_def_18) ),
inference(superposition,[status(thm)],[c_71385,c_887]) ).
tcf(c_75108,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_20)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_19)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_71385,c_1250]) ).
tcf(c_75109,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_22)
| ~ subq(iPr_def_25,iPr_def_21) ),
inference(superposition,[status(thm)],[c_71385,c_938]) ).
tcf(c_75110,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_21)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_17)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_71385,c_1251]) ).
tcf(c_75111,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_22) ),
inference(superposition,[status(thm)],[c_71385,c_939]) ).
tcf(c_75112,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_22)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_23) ),
inference(superposition,[status(thm)],[c_71385,c_1252]) ).
tcf(c_75116,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_13)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_71385,c_1254]) ).
tcf(c_75117,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_27)
| ~ subq(iPr_def_25,iPr_def_26) ),
inference(superposition,[status(thm)],[c_71385,c_942]) ).
tcf(c_75119,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_23)
| ~ subq(iPr_def_25,iPr_def_28) ),
inference(superposition,[status(thm)],[c_71385,c_1256]) ).
tcf(c_75121,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_23,X2))
| mem(sK0(iPr_def_13,u(iPr_def_23,X2)),iPr_def_23)
| ~ subq(iPr_def_25,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_71385,c_38614]) ).
tcf(c_75122,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_28)
| mem(sK0(iPr_def_13,iPr_def_28),X0)
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_75073,c_281]) ).
tcf(c_75123,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_27)
| mem(sK0(iPr_def_13,iPr_def_27),X0)
| ~ subq(iPr_def_25,X0) ),
inference(light_normalisation,[status(thm)],[c_75072,c_280]) ).
tcf(c_75124,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75117,c_2720]) ).
tcf(c_75142,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75102,c_782]) ).
tcf(c_75145,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75101,c_782]) ).
tcf(c_75195,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75119,c_2773]) ).
tcf(c_75199,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_23,X0))
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_23,X0)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75116,c_2720]) ).
tcf(c_75431,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ~ subq(iPr_def_23,u(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_73277,c_49]) ).
tcf(c_75432,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_25,X2))
| mem(sK0(iPr_def_26,u(iPr_def_25,X2)),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_73277,c_51]) ).
tcf(c_75434,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_25,X1))
| ( sK0(iPr_def_26,u(iPr_def_25,X1)) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_73277,c_55]) ).
tcf(c_75435,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_25,X2))
| mem(sK0(iPr_def_26,u(iPr_def_25,X2)),X1)
| mem(sK0(iPr_def_26,u(iPr_def_25,X2)),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_73277,c_58]) ).
tcf(c_75436,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ~ subq(iPr_def_23,m(X2,X1))
| ~ mem(sK0(iPr_def_26,u(iPr_def_25,X0)),X1) ),
inference(superposition,[status(thm)],[c_73277,c_61]) ).
tcf(c_75437,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_25,X2))
| mem(sK0(iPr_def_26,u(iPr_def_25,X2)),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_73277,c_60]) ).
tcf(c_75438,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_26,u(iPr_def_25,X1))
| subq(sK0(iPr_def_26,u(iPr_def_25,X1)),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_73277,c_63]) ).
tcf(c_75439,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_73277,c_2826]) ).
tcf(c_75440,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_73277,c_2825]) ).
tcf(c_75441,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_73277,c_793]) ).
tcf(c_75442,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_73277,c_2828]) ).
tcf(c_75443,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_73277,c_936]) ).
tcf(c_75444,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_73277,c_881]) ).
tcf(c_75445,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_73277,c_934]) ).
tcf(c_75446,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_73277,c_888]) ).
tcf(c_75447,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_73277,c_795]) ).
tcf(c_75449,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_73277,c_796]) ).
tcf(c_75450,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_73277,c_885]) ).
tcf(c_75451,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_73277,c_797]) ).
tcf(c_75452,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_73277,c_798]) ).
tcf(c_75453,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_73277,c_940]) ).
tcf(c_75454,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_73277,c_884]) ).
tcf(c_75455,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_73277,c_799]) ).
tcf(c_75456,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_73277,c_937]) ).
tcf(c_75457,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ( sK0(iPr_def_26,u(iPr_def_25,X0)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73277,c_800]) ).
tcf(c_75458,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73277,c_943]) ).
tcf(c_75459,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73277,c_941]) ).
tcf(c_75460,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_13)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_73277,c_1247]) ).
tcf(c_75461,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_73277,c_935]) ).
tcf(c_75462,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_14)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_73277,c_2900]) ).
tcf(c_75463,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_12)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_73277,c_2891]) ).
tcf(c_75464,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_73277,c_887]) ).
tcf(c_75465,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_20)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_73277,c_1250]) ).
tcf(c_75466,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_73277,c_938]) ).
tcf(c_75467,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_21)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_73277,c_1251]) ).
tcf(c_75470,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_73277,c_890]) ).
tcf(c_75471,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_73277,c_889]) ).
tcf(c_75472,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_19)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_73277,c_1253]) ).
tcf(c_75473,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_73277,c_1254]) ).
tcf(c_75474,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_73277,c_942]) ).
tcf(c_75475,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_26)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_73277,c_1255]) ).
tcf(c_75476,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_73277,c_1256]) ).
tcf(c_75477,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73277,c_891]) ).
tcf(c_75478,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,u(iPr_def_25,X2))
| mem(sK0(iPr_def_26,u(iPr_def_25,X2)),iPr_def_23)
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_73277,c_29602]) ).
tcf(c_75577,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_25)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75476,c_2458]) ).
tcf(c_75581,plain,
! [X0: $i] :
( subq(iPr_def_26,u(iPr_def_25,X0))
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_26)
| mem(sK0(iPr_def_26,u(iPr_def_25,X0)),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75475,c_2438]) ).
tcf(c_75632,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ~ subq(iPr_def_23,u(iPr_def_25,X0)) ),
inference(superposition,[status(thm)],[c_73299,c_49]) ).
tcf(c_75633,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_25,X2))
| mem(sK0(iPr_def_13,u(iPr_def_25,X2)),X1)
| ~ subq(iPr_def_23,X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_73299,c_51]) ).
tcf(c_75635,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_25,X1))
| ( sK0(iPr_def_13,u(iPr_def_25,X1)) = X0 )
| ~ subq(iPr_def_23,s(X0)) ),
inference(superposition,[status(thm)],[c_73299,c_55]) ).
tcf(c_75636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_25,X2))
| mem(sK0(iPr_def_13,u(iPr_def_25,X2)),X1)
| mem(sK0(iPr_def_13,u(iPr_def_25,X2)),X0)
| ~ subq(iPr_def_23,u(X0,X1)) ),
inference(superposition,[status(thm)],[c_73299,c_58]) ).
tcf(c_75637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ~ subq(iPr_def_23,m(X2,X1))
| ~ mem(sK0(iPr_def_13,u(iPr_def_25,X0)),X1) ),
inference(superposition,[status(thm)],[c_73299,c_61]) ).
tcf(c_75638,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_25,X2))
| mem(sK0(iPr_def_13,u(iPr_def_25,X2)),X0)
| ~ subq(iPr_def_23,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_73299,c_60]) ).
tcf(c_75639,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_13,u(iPr_def_25,X1))
| subq(sK0(iPr_def_13,u(iPr_def_25,X1)),X0)
| ~ subq(iPr_def_23,p(X0)) ),
inference(superposition,[status(thm)],[c_73299,c_63]) ).
tcf(c_75640,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_73299,c_2826]) ).
tcf(c_75641,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_73299,c_2825]) ).
tcf(c_75642,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = e )
| ~ subq(iPr_def_23,iPr_def_10) ),
inference(superposition,[status(thm)],[c_73299,c_793]) ).
tcf(c_75643,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_10 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_73299,c_2828]) ).
tcf(c_75644,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_73299,c_936]) ).
tcf(c_75645,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_73299,c_881]) ).
tcf(c_75646,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_73299,c_934]) ).
tcf(c_75647,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_73299,c_888]) ).
tcf(c_75648,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_12 )
| ~ subq(iPr_def_23,iPr_def_13) ),
inference(superposition,[status(thm)],[c_73299,c_795]) ).
tcf(c_75650,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_15 )
| ~ subq(iPr_def_23,iPr_def_16) ),
inference(superposition,[status(thm)],[c_73299,c_796]) ).
tcf(c_75651,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_73299,c_885]) ).
tcf(c_75652,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_14 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_73299,c_797]) ).
tcf(c_75653,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_18 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_73299,c_798]) ).
tcf(c_75654,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_73299,c_940]) ).
tcf(c_75655,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_73299,c_884]) ).
tcf(c_75656,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_19 )
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_73299,c_799]) ).
tcf(c_75657,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_73299,c_937]) ).
tcf(c_75658,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ( sK0(iPr_def_13,u(iPr_def_25,X0)) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73299,c_800]) ).
tcf(c_75659,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73299,c_943]) ).
tcf(c_75660,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_26)
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73299,c_941]) ).
tcf(c_75661,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_13)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_12)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_73299,c_1247]) ).
tcf(c_75662,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_15)
| ~ subq(iPr_def_23,iPr_def_14) ),
inference(superposition,[status(thm)],[c_73299,c_935]) ).
tcf(c_75663,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_14)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_15) ),
inference(superposition,[status(thm)],[c_73299,c_2900]) ).
tcf(c_75664,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_12)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_10)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_73299,c_2891]) ).
tcf(c_75665,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_24)
| ~ subq(iPr_def_23,iPr_def_18) ),
inference(superposition,[status(thm)],[c_73299,c_887]) ).
tcf(c_75666,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_20)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_19)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_73299,c_1250]) ).
tcf(c_75667,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_21) ),
inference(superposition,[status(thm)],[c_73299,c_938]) ).
tcf(c_75668,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_21)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_17)
| ~ subq(iPr_def_23,iPr_def_22) ),
inference(superposition,[status(thm)],[c_73299,c_1251]) ).
tcf(c_75671,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_28)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_73299,c_890]) ).
tcf(c_75672,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_23) ),
inference(superposition,[status(thm)],[c_73299,c_889]) ).
tcf(c_75673,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_19)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_18)
| ~ subq(iPr_def_23,iPr_def_24) ),
inference(superposition,[status(thm)],[c_73299,c_1253]) ).
tcf(c_75674,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_13)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_73299,c_1254]) ).
tcf(c_75675,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_27)
| ~ subq(iPr_def_23,iPr_def_26) ),
inference(superposition,[status(thm)],[c_73299,c_942]) ).
tcf(c_75676,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_26)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_27) ),
inference(superposition,[status(thm)],[c_73299,c_1255]) ).
tcf(c_75677,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_23)
| ~ subq(iPr_def_23,iPr_def_28) ),
inference(superposition,[status(thm)],[c_73299,c_1256]) ).
tcf(c_75678,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| ~ subq(iPr_def_23,iPr_def_25) ),
inference(superposition,[status(thm)],[c_73299,c_891]) ).
tcf(c_75679,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_13,u(iPr_def_25,X2))
| mem(sK0(iPr_def_13,u(iPr_def_25,X2)),iPr_def_23)
| ~ subq(iPr_def_23,X1)
| ~ subq(iPr_def_25,m(X0,X1)) ),
inference(superposition,[status(thm)],[c_73299,c_38614]) ).
tcf(c_75778,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_25)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75677,c_2458]) ).
tcf(c_75782,plain,
! [X0: $i] :
( subq(iPr_def_13,u(iPr_def_25,X0))
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_26)
| mem(sK0(iPr_def_13,u(iPr_def_25,X0)),iPr_def_23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75676,c_2438]) ).
tcf(c_76039,plain,
! [X0: $i] :
( subq(iPr_def_19,e)
| subq(iPr_def_18,X0)
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_5197,c_32898]) ).
tcf(c_76040,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,s(X1))
| ( X1 = iPr_def_18 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_5198,c_32898]) ).
tcf(c_76041,plain,
! [X0: $i] :
( subq(iPr_def_19,iPr_def_10)
| subq(iPr_def_18,X0)
| ( e = iPr_def_18 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_5205,c_32898]) ).
tcf(c_76042,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,p(e))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_26245,c_32898]) ).
tcf(c_76043,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_19))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63478,c_32898]) ).
tcf(c_76044,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_21))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63479,c_32898]) ).
tcf(c_76045,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_22))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63482,c_32898]) ).
tcf(c_76046,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_23))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63483,c_32898]) ).
tcf(c_76047,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_28))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63484,c_32898]) ).
tcf(c_76048,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_27))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63485,c_32898]) ).
tcf(c_76049,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_18,X0)
| subq(iPr_def_19,m(X1,iPr_def_24))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_63486,c_32898]) ).
tcf(c_76050,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_19,X0)
| subq(iPr_def_13,X2)
| mem(sK0(iPr_def_13,X2),iPr_def_23)
| mem(sK0(iPr_def_13,X2),X1)
| ~ subq(iPr_def_22,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_32898,c_38610]) ).
tcf(c_76051,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_26,X2)
| subq(iPr_def_19,X0)
| mem(sK0(iPr_def_26,X2),iPr_def_23)
| mem(sK0(iPr_def_26,X2),X1)
| ~ subq(iPr_def_22,p(X1))
| ~ subq(iPr_def_25,sK0(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_32898,c_29598]) ).
tcf(c_76052,plain,
! [X0: $i,X1: $i] :
( mem(iPr_def_12,iPr_def_23)
| mem(iPr_def_12,X0)
| subq(iPr_def_19,X1)
| ( sK0(iPr_def_25,sK0(iPr_def_19,X1)) = iPr_def_24 )
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_32898,c_6475]) ).
tcf(c_76053,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X1)
| ( sK0(iPr_def_19,X1) = X0 )
| ~ subq(iPr_def_22,p(X0))
| ~ subq(X0,sK0(iPr_def_19,X1)) ),
inference(superposition,[status(thm)],[c_32898,c_52]) ).
tcf(c_76054,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ~ subq(iPr_def_22,p(X0)) ),
inference(superposition,[status(thm)],[c_32898,c_783]) ).
tcf(c_76055,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(sK0(iPr_def_19,X0),X1)
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_32898,c_18912]) ).
tcf(c_76056,plain,
! [X0: $i] :
( subq(iPr_def_19,X0)
| ( sK0(iPr_def_19,X0) = e )
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_32898,c_1212]) ).
tcf(c_76057,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| ( m(sK0(iPr_def_19,X0),X1) = sK0(iPr_def_19,X0) )
| ~ subq(iPr_def_22,p(m(sK0(iPr_def_19,X0),X1))) ),
inference(superposition,[status(thm)],[c_32898,c_18770]) ).
tcf(c_76058,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_19,X0)
| subq(sK0(iPr_def_19,X0),p(X1))
| ~ subq(iPr_def_22,p(p(e))) ),
inference(superposition,[status(thm)],[c_32898,c_22959]) ).
tcf(c_76059,plain,
! [X0: $i] :
( subq(iPr_def_19,p(X0))
| ~ subq(iPr_def_22,p(e)) ),
inference(superposition,[status(thm)],[c_32898,c_21696]) ).
tcf(c_76219,plain,
! [X0: $i] : subq(m(iPr_def_17,X0),iPr_def_22),
inference(superposition,[status(thm)],[c_1000,c_71537]) ).
tcf(c_76220,plain,
! [X0: $i] :
( subq(X0,iPr_def_22)
| ~ subq(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_1123,c_71537]) ).
tcf(c_76221,plain,
( subq(iPr_def_12,iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3216,c_71537]) ).
tcf(c_76222,plain,
( subq(iPr_def_12,iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2956,c_71537]) ).
tcf(c_76223,plain,
( subq(iPr_def_12,iPr_def_22)
| ~ subq(iPr_def_18,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2559,c_71537]) ).
tcf(c_76224,plain,
( subq(iPr_def_12,iPr_def_22)
| ~ subq(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2089,c_71537]) ).
tcf(c_76235,plain,
( subq(iPr_def_16,iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3096,c_71537]) ).
tcf(c_76236,plain,
( subq(iPr_def_16,iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3075,c_71537]) ).
tcf(c_76237,plain,
( subq(iPr_def_16,iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2244,c_71537]) ).
tcf(c_76238,plain,
( subq(iPr_def_18,iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2278,c_71537]) ).
tcf(c_76239,plain,
( subq(iPr_def_13,iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38447,c_71537]) ).
tcf(c_76240,plain,
( subq(iPr_def_13,iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38606,c_71537]) ).
tcf(c_76241,plain,
( subq(iPr_def_13,iPr_def_22)
| ( sK0(iPr_def_13,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_38462,c_71537]) ).
tcf(c_76242,plain,
( subq(iPr_def_13,iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3193,c_71537]) ).
tcf(c_76244,plain,
( subq(iPr_def_13,iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3153,c_71537]) ).
tcf(c_76245,plain,
( subq(iPr_def_13,iPr_def_22)
| ~ subq(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2526,c_71537]) ).
tcf(c_76246,plain,
( subq(iPr_def_13,iPr_def_22)
| ~ subq(iPr_def_26,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2331,c_71537]) ).
tcf(c_76247,plain,
( subq(iPr_def_23,iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2459,c_71537]) ).
tcf(c_76248,plain,
( subq(iPr_def_23,iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2439,c_71537]) ).
tcf(c_76249,plain,
( subq(iPr_def_10,iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3180,c_71537]) ).
tcf(c_76250,plain,
( subq(iPr_def_10,iPr_def_22)
| ~ subq(iPr_def_18,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3168,c_71537]) ).
tcf(c_76251,plain,
( subq(iPr_def_10,iPr_def_22)
| ~ subq(iPr_def_24,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2992,c_71537]) ).
tcf(c_76252,plain,
( subq(iPr_def_14,iPr_def_22)
| ~ subq(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2544,c_71537]) ).
tcf(c_76262,plain,
( subq(iPr_def_22,iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3355,c_71537]) ).
tcf(c_76263,plain,
( subq(iPr_def_22,iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3332,c_71537]) ).
tcf(c_76264,plain,
( subq(iPr_def_22,iPr_def_22)
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2683,c_71537]) ).
tcf(c_76265,plain,
( subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3382,c_71537]) ).
tcf(c_76266,plain,
( subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2774,c_71537]) ).
tcf(c_76267,plain,
( subq(iPr_def_25,iPr_def_22)
| ~ subq(iPr_def_26,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2721,c_71537]) ).
tcf(c_76268,plain,
( subq(iPr_def_26,iPr_def_22)
| ~ subq(iPr_def_28,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29542,c_71537]) ).
tcf(c_76269,plain,
( subq(iPr_def_26,iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29594,c_71537]) ).
tcf(c_76270,plain,
( subq(iPr_def_26,iPr_def_22)
| ( sK0(iPr_def_26,iPr_def_22) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29555,c_71537]) ).
tcf(c_76272,plain,
( subq(iPr_def_26,iPr_def_22)
| ~ subq(iPr_def_27,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2759,c_71537]) ).
tcf(c_76273,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),X0)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71537]) ).
tcf(c_76274,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_22),X0)
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71537]) ).
tcf(c_76275,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),X0)
| ~ subq(iPr_def_25,iPr_def_17)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71537]) ).
tcf(c_76276,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_22),X0)
| ~ subq(iPr_def_23,iPr_def_17)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71537]) ).
tcf(c_76615,plain,
! [X0: $i] : subq(m(iPr_def_19,X0),iPr_def_21),
inference(superposition,[status(thm)],[c_1000,c_71540]) ).
tcf(c_76616,plain,
! [X0: $i] :
( subq(X0,iPr_def_21)
| ~ subq(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_1123,c_71540]) ).
tcf(c_76617,plain,
( subq(iPr_def_12,iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3216,c_71540]) ).
tcf(c_76618,plain,
( subq(iPr_def_12,iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2956,c_71540]) ).
tcf(c_76619,plain,
( subq(iPr_def_12,iPr_def_21)
| ~ subq(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2559,c_71540]) ).
tcf(c_76620,plain,
( subq(iPr_def_12,iPr_def_21)
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2089,c_71540]) ).
tcf(c_76627,plain,
( subq(iPr_def_17,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3533,c_71540]) ).
tcf(c_76628,plain,
( subq(iPr_def_17,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3518,c_71540]) ).
tcf(c_76629,plain,
( subq(iPr_def_17,iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3024,c_71540]) ).
tcf(c_76630,plain,
( subq(iPr_def_17,iPr_def_21)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2210,c_71540]) ).
tcf(c_76631,plain,
( subq(iPr_def_16,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3096,c_71540]) ).
tcf(c_76632,plain,
( subq(iPr_def_16,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3075,c_71540]) ).
tcf(c_76633,plain,
( subq(iPr_def_16,iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2244,c_71540]) ).
tcf(c_76634,plain,
( subq(iPr_def_18,iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2278,c_71540]) ).
tcf(c_76635,plain,
( subq(iPr_def_13,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38447,c_71540]) ).
tcf(c_76636,plain,
( subq(iPr_def_13,iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_21),iPr_def_22)
| mem(sK0(iPr_def_13,iPr_def_21),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38606,c_71540]) ).
tcf(c_76637,plain,
( subq(iPr_def_13,iPr_def_21)
| ( sK0(iPr_def_13,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_38462,c_71540]) ).
tcf(c_76638,plain,
( subq(iPr_def_13,iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3193,c_71540]) ).
tcf(c_76640,plain,
( subq(iPr_def_13,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3153,c_71540]) ).
tcf(c_76641,plain,
( subq(iPr_def_13,iPr_def_21)
| ~ subq(iPr_def_14,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2526,c_71540]) ).
tcf(c_76642,plain,
( subq(iPr_def_13,iPr_def_21)
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2331,c_71540]) ).
tcf(c_76643,plain,
( subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2459,c_71540]) ).
tcf(c_76644,plain,
( subq(iPr_def_23,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2439,c_71540]) ).
tcf(c_76645,plain,
( subq(iPr_def_10,iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3180,c_71540]) ).
tcf(c_76646,plain,
( subq(iPr_def_10,iPr_def_21)
| ~ subq(iPr_def_18,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3168,c_71540]) ).
tcf(c_76647,plain,
( subq(iPr_def_10,iPr_def_21)
| ~ subq(iPr_def_24,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2992,c_71540]) ).
tcf(c_76648,plain,
( subq(iPr_def_14,iPr_def_21)
| ~ subq(iPr_def_15,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2544,c_71540]) ).
tcf(c_76654,plain,
( subq(iPr_def_21,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3629,c_71540]) ).
tcf(c_76655,plain,
( subq(iPr_def_21,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3614,c_71540]) ).
tcf(c_76656,plain,
( subq(iPr_def_21,iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3294,c_71540]) ).
tcf(c_76657,plain,
( subq(iPr_def_21,iPr_def_21)
| ~ subq(iPr_def_22,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2619,c_71540]) ).
tcf(c_76658,plain,
( subq(iPr_def_22,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3355,c_71540]) ).
tcf(c_76659,plain,
( subq(iPr_def_22,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3332,c_71540]) ).
tcf(c_76660,plain,
( subq(iPr_def_22,iPr_def_21)
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2683,c_71540]) ).
tcf(c_76661,plain,
( subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_3382,c_71540]) ).
tcf(c_76662,plain,
( subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2774,c_71540]) ).
tcf(c_76663,plain,
( subq(iPr_def_25,iPr_def_21)
| ~ subq(iPr_def_26,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2721,c_71540]) ).
tcf(c_76664,plain,
( subq(iPr_def_26,iPr_def_21)
| ~ subq(iPr_def_28,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29542,c_71540]) ).
tcf(c_76665,plain,
( subq(iPr_def_26,iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_21),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_21),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29594,c_71540]) ).
tcf(c_76666,plain,
( subq(iPr_def_26,iPr_def_21)
| ( sK0(iPr_def_26,iPr_def_21) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_19) ),
inference(superposition,[status(thm)],[c_29555,c_71540]) ).
tcf(c_76668,plain,
( subq(iPr_def_26,iPr_def_21)
| ~ subq(iPr_def_27,iPr_def_19) ),
inference(superposition,[status(thm)],[c_2759,c_71540]) ).
tcf(c_76669,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_21),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71540]) ).
tcf(c_76670,plain,
! [X0: $i] :
( subq(iPr_def_13,iPr_def_21)
| mem(sK0(iPr_def_13,iPr_def_21),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_38605,c_71540]) ).
tcf(c_76671,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_21),X0)
| ~ subq(iPr_def_25,iPr_def_19)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71540]) ).
tcf(c_76672,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_21)
| mem(sK0(iPr_def_26,iPr_def_21),X0)
| ~ subq(iPr_def_23,iPr_def_19)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71540]) ).
tcf(c_76815,plain,
! [X0: $i] : subq(m(iPr_def_12,X0),iPr_def_14),
inference(superposition,[status(thm)],[c_1000,c_71543]) ).
tcf(c_76816,plain,
! [X0: $i] :
( subq(X0,iPr_def_14)
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_1123,c_71543]) ).
tcf(c_76821,plain,
( subq(iPr_def_19,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3729,c_71543]) ).
tcf(c_76822,plain,
( subq(iPr_def_19,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3715,c_71543]) ).
tcf(c_76823,plain,
( subq(iPr_def_19,iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3460,c_71543]) ).
tcf(c_76824,plain,
( subq(iPr_def_19,iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3006,c_71543]) ).
tcf(c_76825,plain,
( subq(iPr_def_19,iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2707,c_71543]) ).
tcf(c_76826,plain,
( subq(iPr_def_19,iPr_def_14)
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2184,c_71543]) ).
tcf(c_76827,plain,
( subq(iPr_def_17,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3533,c_71543]) ).
tcf(c_76828,plain,
( subq(iPr_def_17,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3518,c_71543]) ).
tcf(c_76829,plain,
( subq(iPr_def_17,iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3024,c_71543]) ).
tcf(c_76830,plain,
( subq(iPr_def_17,iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2210,c_71543]) ).
tcf(c_76831,plain,
( subq(iPr_def_16,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3096,c_71543]) ).
tcf(c_76832,plain,
( subq(iPr_def_16,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3075,c_71543]) ).
tcf(c_76833,plain,
( subq(iPr_def_16,iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2244,c_71543]) ).
tcf(c_76834,plain,
( subq(iPr_def_18,iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2278,c_71543]) ).
tcf(c_76843,plain,
( subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2459,c_71543]) ).
tcf(c_76844,plain,
( subq(iPr_def_23,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2439,c_71543]) ).
tcf(c_76845,plain,
( subq(iPr_def_10,iPr_def_14)
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3180,c_71543]) ).
tcf(c_76846,plain,
( subq(iPr_def_10,iPr_def_14)
| ~ subq(iPr_def_18,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3168,c_71543]) ).
tcf(c_76847,plain,
( subq(iPr_def_10,iPr_def_14)
| ~ subq(iPr_def_24,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2992,c_71543]) ).
tcf(c_76848,plain,
( subq(iPr_def_14,iPr_def_14)
| ~ subq(iPr_def_15,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2544,c_71543]) ).
tcf(c_76849,plain,
( subq(iPr_def_20,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3759,c_71543]) ).
tcf(c_76850,plain,
( subq(iPr_def_20,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3744,c_71543]) ).
tcf(c_76851,plain,
( subq(iPr_def_20,iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3580,c_71543]) ).
tcf(c_76852,plain,
( subq(iPr_def_20,iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3276,c_71543]) ).
tcf(c_76853,plain,
( subq(iPr_def_20,iPr_def_14)
| ~ subq(iPr_def_21,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2601,c_71543]) ).
tcf(c_76854,plain,
( subq(iPr_def_21,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3629,c_71543]) ).
tcf(c_76855,plain,
( subq(iPr_def_21,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3614,c_71543]) ).
tcf(c_76856,plain,
( subq(iPr_def_21,iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3294,c_71543]) ).
tcf(c_76857,plain,
( subq(iPr_def_21,iPr_def_14)
| ~ subq(iPr_def_22,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2619,c_71543]) ).
tcf(c_76858,plain,
( subq(iPr_def_22,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3355,c_71543]) ).
tcf(c_76859,plain,
( subq(iPr_def_22,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3332,c_71543]) ).
tcf(c_76860,plain,
( subq(iPr_def_22,iPr_def_14)
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2683,c_71543]) ).
tcf(c_76861,plain,
( subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3382,c_71543]) ).
tcf(c_76862,plain,
( subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2774,c_71543]) ).
tcf(c_76863,plain,
( subq(iPr_def_25,iPr_def_14)
| ~ subq(iPr_def_26,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2721,c_71543]) ).
tcf(c_76864,plain,
( subq(iPr_def_26,iPr_def_14)
| ~ subq(iPr_def_28,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29542,c_71543]) ).
tcf(c_76865,plain,
( subq(iPr_def_26,iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_14),iPr_def_22)
| mem(sK0(iPr_def_26,iPr_def_14),iPr_def_16)
| ~ subq(iPr_def_25,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29594,c_71543]) ).
tcf(c_76866,plain,
( subq(iPr_def_26,iPr_def_14)
| ( sK0(iPr_def_26,iPr_def_14) = iPr_def_24 )
| ~ subq(iPr_def_23,iPr_def_12) ),
inference(superposition,[status(thm)],[c_29555,c_71543]) ).
tcf(c_76868,plain,
( subq(iPr_def_26,iPr_def_14)
| ~ subq(iPr_def_27,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2759,c_71543]) ).
tcf(c_76871,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_14),X0)
| ~ subq(iPr_def_25,iPr_def_12)
| ~ subq(iPr_def_23,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71543]) ).
tcf(c_76872,plain,
! [X0: $i] :
( subq(iPr_def_26,iPr_def_14)
| mem(sK0(iPr_def_26,iPr_def_14),X0)
| ~ subq(iPr_def_23,iPr_def_12)
| ~ subq(iPr_def_25,X0) ),
inference(superposition,[status(thm)],[c_29593,c_71543]) ).
tcf(c_77101,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_76872,c_76871,c_76868,c_76866,c_76865,c_76864,c_76863,c_76862,c_76861,c_76860,c_76859,c_76858,c_76857,c_76856,c_76855,c_76854,c_76853,c_76852,c_76851,c_76850,c_76849,c_76848,c_76847,c_76846,c_76845,c_76844,c_76843,c_76834,c_76833,c_76832,c_76831,c_76830,c_76829,c_76828,c_76827,c_76826,c_76825,c_76824,c_76823,c_76822,c_76821,c_76816,c_76672,c_76671,c_76670,c_76669,c_76668,c_76666,c_76665,c_76664,c_76663,c_76662,c_76661,c_76660,c_76659,c_76658,c_76657,c_76656,c_76655,c_76654,c_76648,c_76647,c_76646,c_76645,c_76644,c_76643,c_76642,c_76641,c_76640,c_76638,c_76637,c_76636,c_76635,c_76634,c_76633,c_76632,c_76631,c_76630,c_76629,c_76628,c_76627,c_76620,c_76619,c_76618,c_76617,c_76616,c_76276,c_76275,c_76274,c_76273,c_76272,c_76270,c_76269,c_76268,c_76267,c_76266,c_76265,c_76264,c_76263,c_76262,c_76252,c_76251,c_76250,c_76249,c_76248,c_76247,c_76246,c_76245,c_76244,c_76242,c_76241,c_76240,c_76239,c_76238,c_76237,c_76236,c_76235,c_76224,c_76223,c_76222,c_76221,c_76220,c_76059,c_76058,c_76057,c_76056,c_76055,c_76054,c_76053,c_76052,c_76051,c_76050,c_76049,c_76048,c_76047,c_76046,c_76045,c_76044,c_76043,c_76042,c_76041,c_76040,c_76039,c_75782,c_75778,c_75679,c_75678,c_75677,c_75676,c_75675,c_75674,c_75673,c_75672,c_75671,c_75668,c_75667,c_75666,c_75665,c_75664,c_75663,c_75662,c_75661,c_75660,c_75659,c_75658,c_75657,c_75656,c_75655,c_75654,c_75653,c_75652,c_75651,c_75650,c_75648,c_75647,c_75646,c_75645,c_75644,c_75643,c_75642,c_75641,c_75640,c_75639,c_75638,c_75637,c_75636,c_75635,c_75633,c_75632,c_75478,c_75199,c_75195,c_75145,c_75142,c_75124,c_75123,c_75122,c_75121,c_75119,c_75117,c_75116,c_75112,c_75111,c_75110,c_75109,c_75108,c_75107,c_75105,c_75104,c_75103,c_75102,c_75101,c_75096,c_75094,c_75093,c_75092,c_75091,c_75090,c_75088,c_75087,c_75082,c_75081,c_75080,c_75079,c_75078,c_75077,c_75075,c_75073,c_75072,c_74776,c_74775,c_74693,c_74684,c_74651,c_74647,c_74643,c_74639,c_74638,c_74634,c_74633,c_74632,c_74630,c_74629,c_74626,c_74625,c_74624,c_74623,c_74622,c_74621,c_74620,c_74619,c_74618,c_74617,c_74586,c_74585,c_74584,c_74583,c_74582,c_74559,c_74550,c_74549,c_74547,c_74542,c_74541,c_74539,c_74538,c_74399,c_74390,c_74389,c_74387,c_74382,c_74381,c_74379,c_74378,c_74363,c_74361,c_74360,c_74342,c_74340,c_74339,c_74271,c_74270,c_74269,c_74268,c_74267,c_74264,c_74263,c_74262,c_74261,c_74260,c_74247,c_74246,c_74245,c_74244,c_74243,c_74242,c_74241,c_74240,c_74239,c_74237,c_74235,c_74234,c_74233,c_74219,c_74218,c_74217,c_74216,c_74215,c_74047,c_74045,c_74043,c_74041,c_74039,c_74038,c_74037,c_74036,c_74035,c_74034,c_74033,c_74032,c_74031,c_74030,c_74029,c_74028,c_74027,c_74026,c_74025,c_74024,c_74023,c_74018,c_74017,c_74016,c_74015,c_74014,c_74012,c_74011,c_74009,c_74007,c_74006,c_74005,c_74004,c_74003,c_74002,c_74001,c_73989,c_73907,c_73906,c_73903,c_73901,c_73900,c_73899,c_73895,c_73894,c_73893,c_73892,c_73891,c_73890,c_73889,c_73888,c_73887,c_73886,c_73885,c_73884,c_73883,c_73882,c_73881,c_73880,c_73879,c_73878,c_74640,c_73869,c_73868,c_73867,c_73866,c_73865,c_73864,c_73863,c_73862,c_73861,c_73860,c_73859,c_73858,c_73857,c_73856,c_73855,c_73854,c_73853,c_73852,c_73851,c_73672,c_73671,c_73670,c_73669,c_73658,c_73643,c_73642,c_73641,c_73640,c_73638,c_73590,c_73589,c_73588,c_73586,c_73585,c_73584,c_73583,c_73582,c_73581,c_73551,c_73546,c_73528,c_73527,c_73525,c_73524,c_73523,c_73324,c_73323,c_73322,c_73303,c_73302,c_73301,c_73300,c_73299,c_73281,c_73260,c_73258,c_73257,c_73236,c_73235,c_73234,c_73233,c_73119,c_73118,c_73117,c_73116,c_73068,c_73067,c_73065,c_73064,c_72959,c_72958,c_72957,c_72956,c_72945,c_72930,c_72929,c_72928,c_72927,c_72925,c_72627,c_72575,c_72574,c_72573,c_72572,c_72571,c_72570,c_72569,c_72568,c_72567,c_72565,c_72564,c_72562,c_72557,c_72553,c_72551,c_72549,c_72543,c_72542,c_72534,c_72533,c_72532,c_72531,c_72530,c_72519,c_72515,c_72513,c_72512,c_72511,c_71386,c_71385,c_71384,c_71380,c_71379,c_71377,c_71376,c_71375,c_71374,c_71373,c_71372,c_71371,c_71370,c_71369,c_71368,c_71367,c_71366,c_71365,c_71364,c_71363,c_71362,c_71361,c_71360,c_71359,c_71358,c_71357,c_71356,c_71355,c_71342,c_71332,c_71330,c_71329,c_71328,c_71327,c_71324,c_71323,c_71322,c_71321,c_71320,c_71317,c_71315,c_71314,c_71313,c_71312,c_71311,c_71310,c_71309,c_71308,c_71307,c_71306,c_71305,c_71303,c_71300,c_71299,c_71298,c_71297,c_71296,c_71295,c_71294,c_71292,c_71290,c_71289,c_71288,c_71284,c_71283,c_71282,c_71281,c_71280,c_71279,c_71278,c_71277,c_71276,c_71274,c_71273,c_71272,c_71271,c_71270,c_71269,c_71268,c_71267,c_71266,c_71265,c_71264,c_71263,c_71261,c_71260,c_71259,c_71258,c_71257,c_71256,c_71255,c_71254,c_71253,c_71250,c_71248,c_71246,c_71245,c_71243,c_71239,c_71237,c_71236,c_71235,c_71234,c_71231,c_71381,c_71170,c_71169,c_71168,c_71167,c_71007,c_70999,c_70998,c_70997,c_70996,c_70995,c_70994,c_70993,c_70992,c_70991,c_70990,c_70989,c_70988,c_70987,c_70986,c_70985,c_70984,c_70983,c_70981,c_70980,c_70960,c_70959,c_70958,c_71252,c_70917,c_70916,c_70915,c_70899,c_70898,c_70881,c_70880,c_70861,c_70860,c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c_2803,c_2801,c_2790,c_2789,c_2788,c_2787,c_2779,c_2774,c_2773,c_2764,c_2759,c_2758,c_2750,c_2722,c_2721,c_2720,c_2712,c_2707,c_2706,c_2696,c_2685,c_2684,c_2683,c_2682,c_2675,c_2673,c_2628,c_2620,c_2619,c_2618,c_2610,c_2602,c_2601,c_2600,c_2592,c_2560,c_2559,c_2558,c_2549,c_2544,c_2543,c_2535,c_2527,c_2526,c_2525,c_2517,c_2503,c_2502,c_2501,c_2500,c_2499,c_2466,c_2459,c_2458,c_2444,c_2439,c_2438,c_2426,c_2423,c_2420,c_2417,c_2416,c_2415,c_2414,c_2413,c_2412,c_2411,c_2410,c_2381,c_2380,c_2379,c_2378,c_2377,c_2376,c_2374,c_2357,c_2348,c_2332,c_2331,c_2330,c_2321,c_2278,c_2277,c_2265,c_2246,c_2245,c_2244,c_2243,c_2227,c_2211,c_2210,c_2209,c_2193,c_2185,c_2184,c_2183,c_2167,c_2151,c_2150,c_2149,c_2133,c_2128,c_2127,c_2107,c_2106,c_2098,c_2090,c_2089,c_2088,c_2046,c_2044,c_1992,c_1991,c_1898,c_1897,c_1867,c_1809,c_1799,c_1791,c_1774,c_1770,c_1766,c_1762,c_1761,c_1757,c_1753,c_1749,c_1745,c_1728,c_1724,c_1720,c_1716,c_1715,c_1675,c_1674,c_1666,c_1665,c_1657,c_1656,c_1647,c_1639,c_1638,c_1637,c_1615,c_1614,c_1613,c_1585,c_1584,c_1583,c_1576,c_1575,c_1574,c_1573,c_1565,c_1561,c_1548,c_1543,c_1539,c_1538,c_1533,c_1532,c_1528,c_1523,c_1522,c_1516,c_1515,c_1507,c_1506,c_1498,c_1497,c_1489,c_1488,c_1469,c_1466,c_1463,c_1462,c_1461,c_1460,c_1459,c_1458,c_1457,c_1456,c_1455,c_1454,c_1446,c_1445,c_1411,c_1406,c_1402,c_1401,c_1396,c_1395,c_1394,c_1390,c_1389,c_1381,c_1359,c_1358,c_1350,c_1346,c_1345,c_1329,c_1319,c_1318,c_1287,c_1256,c_1255,c_1254,c_1253,c_1252,c_1251,c_1250,c_1249,c_1248,c_1247,c_1246,c_1243,c_1213,c_1212,c_1211,c_1139,c_1138,c_1137,c_1136,c_1135,c_1134,c_1133,c_1132,c_1131,c_1130,c_1129,c_1128,c_1127,c_1126,c_1125,c_1124,c_1123,c_1116,c_1094,c_1093,c_1085,c_1077,c_1076,c_1068,c_1067,c_1059,c_1058,c_1050,c_1029,c_1021,c_1020,c_1008,c_1000,c_944,c_943,c_942,c_941,c_940,c_939,c_938,c_937,c_936,c_935,c_934,c_933,c_891,c_890,c_889,c_888,c_887,c_886,c_885,c_884,c_883,c_882,c_881,c_867,c_858,c_849,c_840,c_831,c_12588,c_12590,c_12592,c_12926,c_12947,c_13243,c_800,c_799,c_798,c_797,c_796,c_795,c_794,c_793,c_791,c_783,c_782,c_773,c_18795,c_763,c_760,c_759,c_758,c_757,c_756,c_755,c_754,c_753,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,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 : SEV571+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n015.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 15:05:17 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.43 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 31.83/10.35 % SZS status Started for theBenchmark.p
% 31.83/10.35 % SZS status Theorem for theBenchmark.p
% 31.83/10.35
% 31.83/10.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.83/10.35
% 31.83/10.35 % ------ iProver source info
% 31.83/10.35
% 31.83/10.35 % git: date: 2026-07-19 20:42:38 +0200
% 31.83/10.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.83/10.35 % git: non_committed_changes: false
% 31.83/10.35
% 31.83/10.35 % ------ Parsing...
% 31.83/10.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.83/10.35
% 31.83/10.35 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 31.83/10.35
% 31.83/10.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 31.83/10.35
% 31.83/10.35 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.83/10.35 % ------ Proving...
% 31.83/10.35 % ------ Problem Properties
% 31.83/10.35
% 31.83/10.35 %
% 31.83/10.35 % clauses 35
% 31.83/10.35 % conjectures 1
% 31.83/10.35 % EPR 4
% 31.83/10.35 % Horn 32
% 31.83/10.35 % unary 22
% 31.83/10.35 % binary 9
% 31.83/10.35 % lits 52
% 31.83/10.35 % lits eq 21
% 31.83/10.35 % fd_pure 0
% 31.83/10.35 % fd_pseudo 0
% 31.83/10.35 % fd_cond 0
% 31.83/10.35 % fd_pseudo_cond 2
% 31.83/10.35 % AC symbols 0
% 31.83/10.35
% 31.83/10.35 % ------ Schedule dynamic 5 is on
% 31.83/10.35
% 31.83/10.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 31.83/10.35
% 31.83/10.35
% 31.83/10.35 % ------
% 31.83/10.35 % Current options:
% 31.83/10.35 % ------
% 31.83/10.35
% 31.83/10.35
% 31.83/10.35 %
% 31.83/10.35
% 31.83/10.35 % ------ Proving...
% 31.83/10.35 %
% 31.83/10.35
% 31.83/10.35 % SZS status Theorem for theBenchmark.p
% 31.83/10.35
% 31.83/10.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.83/10.56
% 31.83/10.56
%------------------------------------------------------------------------------