TSTP Solution File: NUM712^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM712^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n061.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 13:11:32 EST 2018
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM712^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.05 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.27 % Computer : n061.star.cs.uiowa.edu
% 0.03/0.27 % Model : x86_64 x86_64
% 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.27 % Memory : 32218.625MB
% 0.03/0.27 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.27 % CPULimit : 300
% 0.03/0.27 % DateTime : Fri Jan 5 13:24:51 CST 2018
% 0.03/0.27 % CPUTime :
% 0.09/0.30 Python 2.7.13
% 0.31/0.75 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e59e0>, <kernel.Type object at 0x2b45596b0950>) of role type named nat_type
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring nat:Type
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e5488>, <kernel.Constant object at 0x2b45593c1e60>) of role type named x
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring x:nat
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45593c18c0>, <kernel.Constant object at 0x2b45592e52d8>) of role type named y
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring y:nat
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e59e0>, <kernel.Constant object at 0x2b45596b09e0>) of role type named z
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring z:nat
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e52d8>, <kernel.DependentProduct object at 0x2b45596b0a28>) of role type named ts
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring ts:(nat->(nat->nat))
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e59e0>, <kernel.Type object at 0x2b45596b0a28>) of role type named set_type
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring set:Type
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e5488>, <kernel.DependentProduct object at 0x2b45596b0ab8>) of role type named esti
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring esti:(nat->(set->Prop))
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45592e5488>, <kernel.DependentProduct object at 0x2b45596b09e0>) of role type named setof
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring setof:((nat->Prop)->set)
% 0.31/0.75 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))) of role axiom named estie
% 0.31/0.75 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs)))
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45596b0ea8>, <kernel.Constant object at 0x2b45596b05a8>) of role type named n_1
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring n_1:nat
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45596b0cb0>, <kernel.DependentProduct object at 0x2b45596b0950>) of role type named suc
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring suc:(nat->nat)
% 0.31/0.75 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
% 0.31/0.75 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)))))
% 0.31/0.75 FOF formula (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))) of role axiom named estii
% 0.31/0.75 A new axiom: (forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp))))
% 0.31/0.75 FOF formula (forall (Xx:nat), (((eq nat) Xx) ((ts Xx) n_1))) of role axiom named satz28e
% 0.31/0.75 A new axiom: (forall (Xx:nat), (((eq nat) Xx) ((ts Xx) n_1)))
% 0.31/0.75 FOF formula (forall (Xx:nat), (((eq nat) ((ts Xx) n_1)) Xx)) of role axiom named satz28a
% 0.31/0.75 A new axiom: (forall (Xx:nat), (((eq nat) ((ts Xx) n_1)) Xx))
% 0.31/0.75 FOF formula (<kernel.Constant object at 0x2b45596b0ef0>, <kernel.DependentProduct object at 0x2b45596b05f0>) of role type named pl
% 0.31/0.75 Using role type
% 0.31/0.75 Declaring pl:(nat->(nat->nat))
% 0.31/0.75 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl ((ts Xx) Xy)) Xx)) ((ts Xx) (suc Xy)))) of role axiom named satz28f
% 0.31/0.75 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl ((ts Xx) Xy)) Xx)) ((ts Xx) (suc Xy))))
% 0.31/0.75 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), (((eq nat) ((ts Xx) ((pl Xy) Xz))) ((pl ((ts Xx) Xy)) ((ts Xx) Xz)))) of role axiom named satz30
% 0.31/0.75 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), (((eq nat) ((ts Xx) ((pl Xy) Xz))) ((pl ((ts Xx) Xy)) ((ts Xx) Xz))))
% 0.31/0.75 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((ts Xx) (suc Xy))) ((pl ((ts Xx) Xy)) Xx))) of role axiom named satz28b
% 0.31/0.75 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((ts Xx) (suc Xy))) ((pl ((ts Xx) Xy)) Xx)))
% 0.31/0.75 FOF formula (((eq nat) ((ts ((ts x) y)) z)) ((ts x) ((ts y) z))) of role conjecture named satz31
% 0.31/0.75 Conjecture to prove = (((eq nat) ((ts ((ts x) y)) z)) ((ts x) ((ts y) z))):Prop
% 0.31/0.75 Parameter set_DUMMY:set.
% 0.31/0.75 We need to prove ['(((eq nat) ((ts ((ts x) y)) z)) ((ts x) ((ts y) z)))']
% 0.31/0.75 Parameter nat:Type.
% 0.31/0.75 Parameter x:nat.
% 0.31/0.75 Parameter y:nat.
% 0.31/0.75 Parameter z:nat.
% 0.31/0.75 Parameter ts:(nat->(nat->nat)).
% 0.31/0.75 Parameter set:Type.
% 0.31/0.75 Parameter esti:(nat->(set->Prop)).
% 84.78/85.19 Parameter setof:((nat->Prop)->set).
% 84.78/85.19 Axiom estie:(forall (Xp:(nat->Prop)) (Xs:nat), (((esti Xs) (setof Xp))->(Xp Xs))).
% 84.78/85.19 Parameter n_1:nat.
% 84.78/85.19 Parameter suc:(nat->nat).
% 84.78/85.19 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))))).
% 84.78/85.19 Axiom estii:(forall (Xp:(nat->Prop)) (Xs:nat), ((Xp Xs)->((esti Xs) (setof Xp)))).
% 84.78/85.19 Axiom satz28e:(forall (Xx:nat), (((eq nat) Xx) ((ts Xx) n_1))).
% 84.78/85.19 Axiom satz28a:(forall (Xx:nat), (((eq nat) ((ts Xx) n_1)) Xx)).
% 84.78/85.19 Parameter pl:(nat->(nat->nat)).
% 84.78/85.19 Axiom satz28f:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl ((ts Xx) Xy)) Xx)) ((ts Xx) (suc Xy)))).
% 84.78/85.19 Axiom satz30:(forall (Xx:nat) (Xy:nat) (Xz:nat), (((eq nat) ((ts Xx) ((pl Xy) Xz))) ((pl ((ts Xx) Xy)) ((ts Xx) Xz)))).
% 84.78/85.19 Axiom satz28b:(forall (Xx:nat) (Xy:nat), (((eq nat) ((ts Xx) (suc Xy))) ((pl ((ts Xx) Xy)) Xx))).
% 84.78/85.19 Trying to prove (((eq nat) ((ts ((ts x) y)) z)) ((ts x) ((ts y) z)))
% 84.78/85.19 Found eq_ref000:=(eq_ref00 P):((P ((ts ((ts x) y)) z))->(P ((ts ((ts x) y)) z)))
% 84.78/85.19 Found (eq_ref00 P) as proof of (P0 ((ts ((ts x) y)) z))
% 84.78/85.19 Found ((eq_ref0 ((ts ((ts x) y)) z)) P) as proof of (P0 ((ts ((ts x) y)) z))
% 84.78/85.19 Found (((eq_ref nat) ((ts ((ts x) y)) z)) P) as proof of (P0 ((ts ((ts x) y)) z))
% 84.78/85.19 Found (((eq_ref nat) ((ts ((ts x) y)) z)) P) as proof of (P0 ((ts ((ts x) y)) z))
% 84.78/85.19 Found satz28e0:=(satz28e ((ts ((ts x) y)) z)):(((eq nat) ((ts ((ts x) y)) z)) ((ts ((ts ((ts x) y)) z)) n_1))
% 84.78/85.19 Found (satz28e ((ts ((ts x) y)) z)) as proof of (((eq nat) ((ts ((ts x) y)) z)) b)
% 84.78/85.19 Found (satz28e ((ts ((ts x) y)) z)) as proof of (((eq nat) ((ts ((ts x) y)) z)) b)
% 84.78/85.19 Found (satz28e ((ts ((ts x) y)) z)) as proof of (((eq nat) ((ts ((ts x) y)) z)) b)
% 84.78/85.19 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 84.78/85.19 Found (eq_ref0 b) as proof of (((eq nat) b) ((ts x) ((ts y) z)))
% 84.78/85.19 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((ts x) ((ts y) z)))
% 84.78/85.19 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((ts x) ((ts y) z)))
% 84.78/85.19 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((ts x) ((ts y) z)))
% 84.78/85.19 Found eq_ref00:=(eq_ref0 b):(((eq nat) b) b)
% 84.78/85.19 Found (eq_ref0 b) as proof of (((eq nat) b) ((ts ((ts x) y)) z))
% 84.78/85.19 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((ts ((ts x) y)) z))
% 84.78/85.19 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((ts ((ts x) y)) z))
% 84.78/85.19 Found ((eq_ref nat) b) as proof of (((eq nat) b) ((ts ((ts x) y)) z))
% 84.78/85.19 Found satz28e0:=(satz28e ((ts x) ((ts y) z))):(((eq nat) ((ts x) ((ts y) z))) ((ts ((ts x) ((ts y) z))) n_1))
% 84.78/85.19 Found (satz28e ((ts x) ((ts y) z))) as proof of (((eq nat) ((ts x) ((ts y) z))) b)
% 84.78/85.19 Found (satz28e ((ts x) ((ts y) z))) as proof of (((eq nat) ((ts x) ((ts y) z))) b)
% 84.78/85.19 Found (satz28e ((ts x) ((ts y) z))) as proof of (((eq nat) ((ts x) ((ts y) z))) b)
% 84.78/85.19 Found satz28a0:=(satz28a ((ts x) y)):(((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) y))
% 84.78/85.19 Found (satz28a ((ts x) y)) as proof of (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) y))
% 84.78/85.19 Found (satz28a ((ts x) y)) as proof of (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) y))
% 84.78/85.19 Found (satz28e00 (satz28a ((ts x) y))) as proof of (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) ((ts y) n_1)))
% 84.78/85.19 Found ((satz28e0 (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) x1)))) (satz28a ((ts x) y))) as proof of (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) ((ts y) n_1)))
% 84.78/85.19 Found (((satz28e y) (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) x1)))) (satz28a ((ts x) y))) as proof of (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) ((ts y) n_1)))
% 84.78/85.19 Found (((satz28e y) (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) x1)))) (satz28a ((ts x) y))) as proof of (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) ((ts y) n_1)))
% 84.78/85.19 Found (estii00 (((satz28e y) (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) x1)))) (satz28a ((ts x) y)))) as proof of ((esti n_1) (setof (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) x1)) ((ts x) ((ts y) x1))))))
% 84.78/85.19 Found ((estii0 n_1) (((satz28e y) (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) n_1)) ((ts x) x1)))) (satz28a ((ts x) y)))) as proof of ((esti n_1) (setof (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) x1)) ((ts x) ((ts y) x1))))))
% 84.78/85.19 Found (((estii (fun (x1:nat)=> (((eq nat) ((ts ((ts x) y)) x1)) ((ts x) ((ts y) x1)
%------------------------------------------------------------------------------