TSTP Solution File: NUM645^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM645^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n170.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 13:11:16 EST 2018
% Result : Timeout 300.03s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM645^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n170.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 11:26:29 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.26 Python 2.7.13
% 0.33/0.69 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405cf8>, <kernel.Type object at 0x2b98f9761d40>) of role type named nat_type
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring nat:Type
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405ef0>, <kernel.Constant object at 0x2b98f9405a70>) of role type named x
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring x:nat
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405d88>, <kernel.Constant object at 0x2b98f9761d88>) of role type named y
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring y:nat
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405a70>, <kernel.DependentProduct object at 0x2b98f9761710>) of role type named pl
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring pl:(nat->(nat->nat))
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405d88>, <kernel.Type object at 0x2b98f9761710>) of role type named set_type
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring set:Type
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405cf8>, <kernel.DependentProduct object at 0x2b98f9761b48>) of role type named esti
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring esti:(nat->(set->Prop))
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9405cf8>, <kernel.DependentProduct object at 0x2b98f9761d88>) of role type named setof
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring setof:((nat->Prop)->set)
% 0.33/0.69 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))) of role axiom named estie
% 0.33/0.69 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs)))
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9761cf8>, <kernel.Constant object at 0x2b98f97611b8>) of role type named n_1
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring n_1:nat
% 0.33/0.69 FOF formula (<kernel.Constant object at 0x2b98f9761a28>, <kernel.DependentProduct object at 0x2b98f9761d40>) of role type named suc
% 0.33/0.69 Using role type
% 0.33/0.69 Declaring suc:(nat->nat)
% 0.33/0.69 FOF formula (forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))) of role axiom named ax5
% 0.33/0.69 A new axiom: (forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs)))))
% 0.33/0.69 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))) of role axiom named estii
% 0.33/0.69 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp))))
% 0.33/0.69 FOF formula (forall (Xx:nat), (not (((eq nat) (suc Xx)) n_1))) of role axiom named ax3
% 0.33/0.69 A new axiom: (forall (Xx:nat), (not (((eq nat) (suc Xx)) n_1)))
% 0.33/0.69 FOF formula (forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))) of role axiom named satz4a
% 0.33/0.69 A new axiom: (forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx)))
% 0.33/0.69 FOF formula (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->(not (((eq nat) (suc Xx)) (suc Xy))))) of role axiom named satz1
% 0.33/0.69 A new axiom: (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->(not (((eq nat) (suc Xx)) (suc Xy)))))
% 0.33/0.69 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) (suc Xy))) (suc ((pl Xx) Xy)))) of role axiom named satz4b
% 0.33/0.69 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) (suc Xy))) (suc ((pl Xx) Xy))))
% 0.33/0.69 FOF formula (not (((eq nat) y) ((pl x) y))) of role conjecture named satz7
% 0.33/0.69 Conjecture to prove = (not (((eq nat) y) ((pl x) y))):Prop
% 0.33/0.69 Parameter set_DUMMY:set.
% 0.33/0.69 We need to prove ['(not (((eq nat) y) ((pl x) y)))']
% 0.33/0.69 Parameter nat:Type.
% 0.33/0.69 Parameter x:nat.
% 0.33/0.69 Parameter y:nat.
% 0.33/0.69 Parameter pl:(nat->(nat->nat)).
% 0.33/0.69 Parameter set:Type.
% 0.33/0.69 Parameter esti:(nat->(set->Prop)).
% 0.33/0.69 Parameter setof:((nat->Prop)->set).
% 0.33/0.69 Axiom estie:(forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))).
% 0.33/0.69 Parameter n_1:nat.
% 0.33/0.69 Parameter suc:(nat->nat).
% 0.33/0.69 Axiom ax5:(forall (Xs:set), (((esti n_1) Xs)->((forall (Xx:nat), (((esti Xx) Xs)->((esti (suc Xx)) Xs)))->(forall (Xx:nat), ((esti Xx) Xs))))).
% 0.33/0.69 Axiom estii:(forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))).
% 0.33/0.69 Axiom ax3:(forall (Xx:nat), (not (((eq nat) (suc Xx)) n_1))).
% 0.33/0.69 Axiom satz4a:(forall (Xx:nat), (((eq nat) ((pl Xx) n_1)) (suc Xx))).
% 0.33/0.69 Axiom satz1:(forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->(not (((eq nat) (suc Xx)) (suc Xy))))).
% 0.33/0.69 Axiom satz4b:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) (suc Xy))) (suc ((pl Xx) Xy)))).
% 126.61/127.03 Trying to prove (not (((eq nat) y) ((pl x) y)))
% 126.61/127.03 Found eq_ref00:=(eq_ref0 (suc Xx)):(((eq nat) (suc Xx)) (suc Xx))
% 126.61/127.03 Found (eq_ref0 (suc Xx)) as proof of (((eq nat) (suc Xx)) (suc Xy))
% 126.61/127.03 Found ((eq_ref nat) (suc Xx)) as proof of (((eq nat) (suc Xx)) (suc Xy))
% 126.61/127.03 Found ((eq_ref nat) (suc Xx)) as proof of (((eq nat) (suc Xx)) (suc Xy))
% 126.61/127.03 Found ((eq_ref nat) (suc Xx)) as proof of (((eq nat) (suc Xx)) (suc Xy))
% 126.61/127.03 Found x00:=(x0 (fun (x1:nat)=> (P (suc Xx)))):((P (suc Xx))->(P (suc Xx)))
% 126.61/127.03 Found (x0 (fun (x1:nat)=> (P (suc Xx)))) as proof of (P0 (suc Xx))
% 126.61/127.03 Found (x0 (fun (x1:nat)=> (P (suc Xx)))) as proof of (P0 (suc Xx))
% 126.61/127.03 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))):(((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y))))))
% 126.61/127.03 Found (eq_ref0 (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))) b)
% 126.61/127.03 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))):(((eq set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1))))))
% 126.61/127.03 Found (eq_ref0 (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))) b)
% 126.61/127.03 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))):(((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y))))))
% 126.61/127.03 Found (eq_ref0 (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) as proof of (((eq set) (setof (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))) b)
% 126.61/127.03 Found eq_ref00:=(eq_ref0 (setof (fun (x2:nat)=> False))):(((eq set) (setof (fun (x2:nat)=> False))) (setof (fun (x2:nat)=> False)))
% 126.61/127.03 Found (eq_ref0 (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 126.61/127.03 Found eq_ref00:=(eq_ref0 (setof (fun (x2:nat)=> False))):(((eq set) (setof (fun (x2:nat)=> False))) (setof (fun (x2:nat)=> False)))
% 126.61/127.03 Found (eq_ref0 (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 126.61/127.03 Found ((eq_ref set) (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x2:nat)=> False))) as proof of (((eq set) (setof (fun (x2:nat)=> False))) b)
% 171.00/171.50 Found eq_ref00:=(eq_ref0 (setof (fun (x10:nat)=> False))):(((eq set) (setof (fun (x10:nat)=> False))) (setof (fun (x10:nat)=> False)))
% 171.00/171.50 Found (eq_ref0 (setof (fun (x10:nat)=> False))) as proof of (((eq set) (setof (fun (x1:nat)=> False))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x10:nat)=> False))) as proof of (((eq set) (setof (fun (x1:nat)=> False))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x10:nat)=> False))) as proof of (((eq set) (setof (fun (x1:nat)=> False))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x10:nat)=> False))) as proof of (((eq set) (setof (fun (x1:nat)=> False))) b)
% 171.00/171.50 Found eq_ref00:=(eq_ref0 (suc Xx)):(((eq nat) (suc Xx)) (suc Xx))
% 171.00/171.50 Found (eq_ref0 (suc Xx)) as proof of (((eq nat) (suc Xx)) b)
% 171.00/171.50 Found ((eq_ref nat) (suc Xx)) as proof of (((eq nat) (suc Xx)) b)
% 171.00/171.50 Found ((eq_ref nat) (suc Xx)) as proof of (((eq nat) (suc Xx)) b)
% 171.00/171.50 Found ((eq_ref nat) (suc Xx)) as proof of (((eq nat) (suc Xx)) b)
% 171.00/171.50 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 171.00/171.50 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found satz4a0:=(satz4a Xx):(((eq nat) ((pl Xx) n_1)) (suc Xx))
% 171.00/171.50 Instantiate: b:=(suc Xx):nat
% 171.00/171.50 Found satz4a0 as proof of (((eq nat) ((pl Xx) n_1)) b)
% 171.00/171.50 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 171.00/171.50 Found (eq_ref0 b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found ((eq_ref nat) b) as proof of (((eq nat) b) n_1)
% 171.00/171.50 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))):(((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y)))))))))
% 171.00/171.50 Found (eq_ref0 (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x10) y))))))))) b)
% 171.00/171.50 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))):(((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1)))))))))
% 171.00/171.50 Found (eq_ref0 (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) b)
% 171.00/171.50 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))) b)
% 171.60/172.08 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))):(((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10)))))))))
% 171.60/172.08 Found (eq_ref0 (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x) x10))))))))) b)
% 171.60/172.08 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))):(((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y)))))))))
% 171.60/172.08 Found (eq_ref0 (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))) b)
% 171.60/172.08 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))):(((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10)))))))))
% 171.60/172.08 Found (eq_ref0 (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) b)
% 171.60/172.08 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))) b)
% 182.09/182.56 Found eq_ref00:=(eq_ref0 (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))):(((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1)))))))))
% 182.09/182.56 Found (eq_ref0 (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) b)
% 182.09/182.56 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) b)
% 182.09/182.56 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) b)
% 182.09/182.56 Found ((eq_ref set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))) b)
% 182.09/182.56 Found estie100:=(estie10 x1):(((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found (estie10 x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found ((estie1 (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found (estii00 (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1)) as proof of ((esti (suc Xx0)) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 182.09/182.56 Found ((estii0 (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1)) as proof of ((esti (suc Xx0)) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 182.09/182.56 Found (((estii (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1)) as proof of ((esti (suc Xx0)) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 182.09/182.56 Found (fun (x1:((esti Xx0) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))=> (((estii (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1))) as proof of ((esti (suc Xx0)) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 182.09/182.56 Found (fun (Xx0:nat) (x1:((esti Xx0) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))=> (((estii (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1))) as proof of (((esti Xx0) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))->((esti (suc Xx0)) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))
% 182.09/182.56 Found (fun (Xx0:nat) (x1:((esti Xx0) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))=> (((estii (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1))) as proof of (forall (Xx0:nat), (((esti Xx0) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))->((esti (suc Xx0)) (setof (fun (x20:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))))
% 182.09/182.56 Found estie100:=(estie10 x1):(((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found (estie10 x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 182.09/182.56 Found ((estie1 (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 186.49/186.96 Found (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 186.49/186.96 Found (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1) as proof of (((eq nat) ((pl Xx) n_1)) n_1)
% 186.49/186.96 Found (estii00 (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1)) as proof of ((esti (suc Xx0)) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 186.49/186.96 Found ((estii0 (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1)) as proof of ((esti (suc Xx0)) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 186.49/186.96 Found (((estii (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1)) as proof of ((esti (suc Xx0)) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 186.49/186.96 Found (fun (x1:((esti Xx0) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))=> (((estii (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1))) as proof of ((esti (suc Xx0)) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))
% 186.49/186.96 Found (fun (Xx0:nat) (x1:((esti Xx0) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))=> (((estii (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1))) as proof of (((esti Xx0) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))->((esti (suc Xx0)) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))
% 186.49/186.96 Found (fun (Xx0:nat) (x1:((esti Xx0) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1)))))=> (((estii (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) (suc Xx0)) (((fun (Xp:(nat->Prop))=> ((estie Xp) Xx0)) (fun (x3:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))) x1))) as proof of (forall (Xx0:nat), (((esti Xx0) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))->((esti (suc Xx0)) (setof (fun (x10:nat)=> (((eq nat) ((pl Xx) n_1)) n_1))))))
% 186.49/186.96 Found eta_expansion000:=(eta_expansion00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 186.49/186.96 Found (eta_expansion00 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))
% 186.49/186.96 Found ((eta_expansion0 Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))
% 186.49/186.96 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))
% 186.49/186.96 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))
% 186.49/186.96 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x) y)))))
% 186.49/186.96 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 186.49/186.96 Found (eta_expansion_dep00 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))
% 186.49/186.96 Found ((eta_expansion_dep0 (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))
% 186.49/186.96 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))
% 186.49/186.96 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))
% 186.49/186.96 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) x1) ((pl x) x1)))))
% 186.49/186.96 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 186.49/186.96 Found (eta_expansion_dep00 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))
% 186.49/186.96 Found ((eta_expansion_dep0 (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))
% 186.49/186.96 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))
% 198.56/199.04 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))
% 198.56/199.04 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> (not (((eq nat) y) ((pl x1) y)))))
% 198.56/199.04 Found eq_ref00:=(eq_ref0 (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))):(((eq set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False))))))
% 198.56/199.04 Found (eq_ref0 (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti n_1) (setof (fun (x20:nat)=> False)))))) b)
% 198.56/199.04 Found eq_ref00:=(eq_ref0 (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))):(((eq set) (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False))))))
% 198.56/199.04 Found (eq_ref0 (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x10:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti n_1) (setof (fun (x2:nat)=> False)))))) b)
% 198.56/199.04 Found eq_ref00:=(eq_ref0 (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))):(((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False))))))
% 198.56/199.04 Found (eq_ref0 (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 198.56/199.04 Found eq_ref00:=(eq_ref0 (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))):(((eq set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False))))))
% 198.56/199.04 Found (eq_ref0 (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) b)
% 198.56/199.04 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti y) (setof (fun (x20:nat)=> False)))))) b)
% 262.05/262.51 Found eq_ref00:=(eq_ref0 (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))):(((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False))))))
% 262.05/262.51 Found (eq_ref0 (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) as proof of (((eq set) (setof (fun (x2:nat)=> ((esti x) (setof (fun (x10:nat)=> False)))))) b)
% 262.05/262.51 Found eq_ref00:=(eq_ref0 (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))):(((eq set) (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False))))))
% 262.05/262.51 Found (eq_ref0 (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) b)
% 262.05/262.51 Found ((eq_ref set) (setof (fun (x10:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) as proof of (((eq set) (setof (fun (x1:nat)=> ((esti y) (setof (fun (x2:nat)=> False)))))) b)
% 262.05/262.51 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 262.05/262.51 Found (eta_expansion_dep00 a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found ((eta_expansion_dep0 (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found (((eta_expansion_dep nat) (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found (((eta_expansion_dep nat) (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found (((eta_expansion_dep nat) (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found eta_expansion000:=(eta_expansion00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 262.05/262.51 Found (eta_expansion00 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> False))
% 262.05/262.51 Found ((eta_expansion0 Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> False))
% 262.05/262.51 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> False))
% 262.05/262.51 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> False))
% 262.05/262.51 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> False))
% 262.05/262.51 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 262.05/262.51 Found (eta_expansion_dep00 a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found ((eta_expansion_dep0 (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found (((eta_expansion_dep nat) (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found (((eta_expansion_dep nat) (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found (((eta_expansion_dep nat) (fun (x2:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x2:nat)=> False))
% 262.05/262.51 Found x00:=(x0 (fun (x1:nat)=> (P n_1))):((P n_1)->(P n_1))
% 262.05/262.51 Found (x0 (fun (x1:nat)=> (P n_1))) as proof of (P0 n_1)
% 282.85/283.35 Found (x0 (fun (x1:nat)=> (P n_1))) as proof of (P0 n_1)
% 282.85/283.35 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 282.85/283.35 Found (eq_ref0 b) as proof of (((eq nat) b) (suc Xx))
% 282.85/283.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) (suc Xx))
% 282.85/283.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) (suc Xx))
% 282.85/283.35 Found ((eq_ref nat) b) as proof of (((eq nat) b) (suc Xx))
% 282.85/283.35 Found eq_ref00:=(eq_ref0 n_1):(((eq nat) n_1) n_1)
% 282.85/283.35 Found (eq_ref0 n_1) as proof of (((eq nat) n_1) b)
% 282.85/283.35 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 282.85/283.35 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 282.85/283.35 Found ((eq_ref nat) n_1) as proof of (((eq nat) n_1) b)
% 282.85/283.35 Found eq_ref00:=(eq_ref0 a):(((eq (nat->Prop)) a) a)
% 282.85/283.35 Found (eq_ref0 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))
% 282.85/283.35 Found ((eq_ref (nat->Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))
% 282.85/283.35 Found ((eq_ref (nat->Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))
% 282.85/283.35 Found ((eq_ref (nat->Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) y) ((pl x1) y))))))))
% 282.85/283.35 Found eta_expansion000:=(eta_expansion00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 282.85/283.35 Found (eta_expansion00 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))
% 282.85/283.35 Found ((eta_expansion0 Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))
% 282.85/283.35 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))
% 282.85/283.35 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))
% 282.85/283.35 Found (((eta_expansion nat) Prop) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti n_1) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x) x1))))))))
% 282.85/283.35 Found eq_ref00:=(eq_ref0 a):(((eq (nat->Prop)) a) a)
% 282.85/283.35 Found (eq_ref0 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))
% 282.85/283.35 Found ((eq_ref (nat->Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))
% 282.85/283.35 Found ((eq_ref (nat->Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))
% 282.85/283.35 Found ((eq_ref (nat->Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti y) (setof (fun (x10:nat)=> (not (((eq nat) x10) ((pl x1) x10))))))))
% 282.85/283.35 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 282.85/283.35 Found (eta_expansion_dep00 a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))
% 282.85/283.35 Found ((eta_expansion_dep0 (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))
% 282.85/283.35 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))
% 282.85/283.35 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))
% 282.85/283.35 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat->Prop)) a) (fun (x1:nat)=> ((esti x) (setof (fun (x10:nat)=> (not (((eq nat) x1) ((pl x10) x1))))))))
% 282.85/283.35 Found eta_expansion_dep000:=(eta_expansion_dep00 a):(((eq (nat->Prop)) a) (fun (x:nat)=> (a x)))
% 282.85/283.35 Found (eta_expansion_dep00 a) as proof of (((eq (nat->Prop)) a) (fun (x100:nat)=> (not (((eq nat) x100) ((pl x) x100)))))
% 282.85/283.35 Found ((eta_expansion_dep0 (fun (x1:nat)=> Prop)) a) as proof of (((eq (nat-
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