TSTP Solution File: NUM686^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM686^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n163.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 13:11:26 EST 2018
% Result : Timeout 300.01s
% 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 : NUM686^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n163.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 12:45:03 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.25 Python 2.7.13
% 2.34/2.54 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4ef299a28>, <kernel.Type object at 0x2ba4eeea7dd0>) of role type named nat_type
% 2.34/2.54 Using role type
% 2.34/2.54 Declaring nat:Type
% 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4eeebe050>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named x
% 2.34/2.54 Using role type
% 2.34/2.54 Declaring x:nat
% 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4ef299a28>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named y
% 2.34/2.54 Using role type
% 2.34/2.54 Declaring y:nat
% 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4ef299a28>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named z
% 2.34/2.54 Using role type
% 2.34/2.54 Declaring z:nat
% 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4eeea7f38>, <kernel.Constant object at 0x2ba4eeea7a28>) of role type named u
% 2.34/2.54 Using role type
% 2.34/2.54 Declaring u:nat
% 2.34/2.54 FOF formula (<kernel.Constant object at 0x2ba4eeea7fc8>, <kernel.DependentProduct object at 0x2ba4eeeca878>) of role type named some
% 2.34/2.55 Using role type
% 2.34/2.55 Declaring some:((nat->Prop)->Prop)
% 2.34/2.55 FOF formula (<kernel.Constant object at 0x2ba4eeea7a28>, <kernel.DependentProduct object at 0x2ba4eeeca488>) of role type named diffprop
% 2.34/2.55 Using role type
% 2.34/2.55 Declaring diffprop:(nat->(nat->(nat->Prop)))
% 2.34/2.55 FOF formula (some (fun (Xu:nat)=> (((diffprop x) y) Xu))) of role axiom named m
% 2.34/2.55 A new axiom: (some (fun (Xu:nat)=> (((diffprop x) y) Xu)))
% 2.34/2.55 FOF formula (some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))) of role axiom named n
% 2.34/2.55 A new axiom: (some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)))
% 2.34/2.55 FOF formula (<kernel.Constant object at 0x2ba4eeecab00>, <kernel.DependentProduct object at 0x2ba4eeea7a70>) of role type named pl
% 2.34/2.55 Using role type
% 2.34/2.55 Declaring pl:(nat->(nat->nat))
% 2.34/2.55 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->((some (fun (Xv:nat)=> (((diffprop Xz) Xy) Xv)))->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))) of role axiom named satz15
% 2.34/2.55 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->((some (fun (Xv:nat)=> (((diffprop Xz) Xy) Xv)))->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv))))))
% 2.34/2.55 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(some (fun (Xu:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xz)) Xu))))) of role axiom named satz19a
% 2.34/2.55 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(some (fun (Xu:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xz)) Xu)))))
% 2.34/2.55 FOF formula (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))) of role axiom named satz6
% 2.34/2.55 A new axiom: (forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx)))
% 2.34/2.55 FOF formula (some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0))) of role conjecture named satz21
% 2.34/2.55 Conjecture to prove = (some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0))):Prop
% 2.34/2.55 We need to prove ['(some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0)))']
% 2.34/2.55 Parameter nat:Type.
% 2.34/2.55 Parameter x:nat.
% 2.34/2.55 Parameter y:nat.
% 2.34/2.55 Parameter z:nat.
% 2.34/2.55 Parameter u:nat.
% 2.34/2.55 Parameter some:((nat->Prop)->Prop).
% 2.34/2.55 Parameter diffprop:(nat->(nat->(nat->Prop))).
% 2.34/2.55 Axiom m:(some (fun (Xu:nat)=> (((diffprop x) y) Xu))).
% 2.34/2.55 Axiom n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0))).
% 2.34/2.55 Parameter pl:(nat->(nat->nat)).
% 2.34/2.55 Axiom satz15:(forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->((some (fun (Xv:nat)=> (((diffprop Xz) Xy) Xv)))->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))).
% 2.34/2.55 Axiom satz19a:(forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(some (fun (Xu:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xz)) Xu))))).
% 2.34/2.55 Axiom satz6:(forall (Xx:nat) (Xy:nat), (((eq nat) ((pl Xx) Xy)) ((pl Xy) Xx))).
% 2.34/2.55 Trying to prove (some (fun (Xu_0:nat)=> (((diffprop ((pl x) z)) ((pl y) u)) Xu_0)))
% 2.34/2.55 Found m:(some (fun (Xu:nat)=> (((diffprop x) y) Xu)))
% 2.34/2.55 Instantiate: b:=(fun (Xu:nat)=> (((diffprop x) y) Xu)):(nat->Prop)
% 2.34/2.55 Found m as proof of (P b)
% 2.34/2.55 Found eq_ref00:=(eq_ref0 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))):(((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0)))
% 5.02/5.27 Found (eq_ref0 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found ((eq_ref (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found ((eq_ref (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found ((eq_ref (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)))
% 5.02/5.27 Instantiate: f:=(fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)):(nat->Prop)
% 5.02/5.27 Found n as proof of (P f)
% 5.02/5.27 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0))
% 5.02/5.27 Found (eq_ref0 (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (forall (x0:nat), (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)))
% 5.02/5.27 Found n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)))
% 5.02/5.27 Instantiate: f:=(fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)):(nat->Prop)
% 5.02/5.27 Found n as proof of (P f)
% 5.02/5.27 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0))
% 5.02/5.27 Found (eq_ref0 (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found ((eq_ref Prop) (f x0)) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0))
% 5.02/5.27 Found (fun (x0:nat)=> ((eq_ref Prop) (f x0))) as proof of (forall (x0:nat), (((eq Prop) (f x0)) (((diffprop ((pl z) x)) ((pl y) u)) x0)))
% 5.02/5.27 Found m:(some (fun (Xu:nat)=> (((diffprop x) y) Xu)))
% 5.02/5.27 Instantiate: b:=(fun (Xu:nat)=> (((diffprop x) y) Xu)):(nat->Prop)
% 5.02/5.27 Found m as proof of (P b)
% 5.02/5.27 Found eta_expansion_dep000:=(eta_expansion_dep00 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))):(((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) (fun (x0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) x0)))
% 5.02/5.27 Found (eta_expansion_dep00 (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found ((eta_expansion_dep0 (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found (((eta_expansion_dep nat) (fun (x1:nat)=> Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) as proof of (((eq (nat->Prop)) (fun (Xu_0:nat)=> (((diffprop ((pl z) x)) ((pl y) u)) Xu_0))) b)
% 5.02/5.27 Found n:(some (fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)))
% 5.02/5.27 Instantiate: f:=(fun (Xu_0:nat)=> (((diffprop z) u) Xu_0)):(nat->Prop)
% 5.02/5.27 Found n as proof of (P f)
% 5.02/5.27 Found eq_ref00:=(eq_ref0 (f x0)):(((eq Prop) (f x0)) (f x0))
% 5.02/5.27 Found (eq_ref0 (f
%------------------------------------------------------------------------------