TSTP Solution File: NUM689^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM689^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n183.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 13:11:27 EST 2018
% Result : Theorem 0.44s
% Output : Proof 0.44s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM689^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.23 % Computer : n183.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 12:50:33 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.25 Python 2.7.13
% 0.44/0.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff098128>, <kernel.Type object at 0x2b83ff0985f0>) of role type named nat_type
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring nat:Type
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83fe61c5f0>, <kernel.Constant object at 0x2b83ff0982d8>) of role type named x
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring x:nat
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff0983f8>, <kernel.Constant object at 0x2b83ff0982d8>) of role type named y
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring y:nat
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff098128>, <kernel.Constant object at 0x2b83ff0982d8>) of role type named z
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring z:nat
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff098710>, <kernel.Constant object at 0x2b83ff0983f8>) of role type named u
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring u:nat
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff094cb0>, <kernel.DependentProduct object at 0x2b83fe9db200>) of role type named lessis
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring lessis:(nat->(nat->Prop))
% 0.44/0.63 FOF formula ((lessis x) y) of role axiom named l
% 0.44/0.63 A new axiom: ((lessis x) y)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff098440>, <kernel.DependentProduct object at 0x2b83fe9dbb00>) of role type named some
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring some:((nat->Prop)->Prop)
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff0983f8>, <kernel.DependentProduct object at 0x2b83fe9db200>) of role type named diffprop
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring diffprop:(nat->(nat->(nat->Prop)))
% 0.44/0.63 FOF formula (some (fun (Xv:nat)=> (((diffprop u) z) Xv))) of role axiom named k
% 0.44/0.63 A new axiom: (some (fun (Xv:nat)=> (((diffprop u) z) Xv)))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff098440>, <kernel.DependentProduct object at 0x2b83fe9dbc20>) of role type named pl
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring pl:(nat->(nat->nat))
% 0.44/0.63 FOF formula (<kernel.Constant object at 0x2b83ff098a70>, <kernel.DependentProduct object at 0x2b83fe975638>) of role type named moreis
% 0.44/0.63 Using role type
% 0.44/0.63 Declaring moreis:(nat->(nat->Prop))
% 0.44/0.63 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((moreis Xx) Xy)->((some (fun (Xu_0:nat)=> (((diffprop Xz) Xu) Xu_0)))->(some (fun (Xu_0:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xu)) Xu_0)))))) of role axiom named satz22a
% 0.44/0.63 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((moreis Xx) Xy)->((some (fun (Xu_0:nat)=> (((diffprop Xz) Xu) Xu_0)))->(some (fun (Xu_0:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xu)) Xu_0))))))
% 0.44/0.63 FOF formula (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))) of role axiom named satz14
% 0.44/0.63 A new axiom: (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx)))
% 0.44/0.63 FOF formula (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) of role conjecture named satz22c
% 0.44/0.63 Conjecture to prove = (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))):Prop
% 0.44/0.63 We need to prove ['(some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))']
% 0.44/0.63 Parameter nat:Type.
% 0.44/0.63 Parameter x:nat.
% 0.44/0.63 Parameter y:nat.
% 0.44/0.63 Parameter z:nat.
% 0.44/0.63 Parameter u:nat.
% 0.44/0.63 Parameter lessis:(nat->(nat->Prop)).
% 0.44/0.63 Axiom l:((lessis x) y).
% 0.44/0.63 Parameter some:((nat->Prop)->Prop).
% 0.44/0.63 Parameter diffprop:(nat->(nat->(nat->Prop))).
% 0.44/0.63 Axiom k:(some (fun (Xv:nat)=> (((diffprop u) z) Xv))).
% 0.44/0.63 Parameter pl:(nat->(nat->nat)).
% 0.44/0.63 Parameter moreis:(nat->(nat->Prop)).
% 0.44/0.63 Axiom satz22a:(forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), (((moreis Xx) Xy)->((some (fun (Xu_0:nat)=> (((diffprop Xz) Xu) Xu_0)))->(some (fun (Xu_0:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xu)) Xu_0)))))).
% 0.44/0.63 Axiom satz14:(forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))).
% 0.44/0.63 Trying to prove (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Found k:(some (fun (Xv:nat)=> (((diffprop u) z) Xv)))
% 0.44/0.63 Found k as proof of (some (fun (Xu_0:nat)=> (((diffprop u) z) Xu_0)))
% 0.44/0.63 Found l:((lessis x) y)
% 0.44/0.63 Found l as proof of ((lessis x) y)
% 0.44/0.63 Found (satz1400 l) as proof of ((moreis y) x)
% 0.44/0.63 Found ((satz140 y) l) as proof of ((moreis y) x)
% 0.44/0.63 Found (((satz14 x) y) l) as proof of ((moreis y) x)
% 0.44/0.63 Found (((satz14 x) y) l) as proof of ((moreis y) x)
% 0.44/0.63 Found ((satz22a0000 (((satz14 x) y) l)) k) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Found (((satz22a000 z) (((satz14 x) y) l)) k) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Found ((((satz22a00 u) z) (((satz14 x) y) l)) k) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Found (((((satz22a0 x) u) z) (((satz14 x) y) l)) k) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Found ((((((satz22a y) x) u) z) (((satz14 x) y) l)) k) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Found ((((((satz22a y) x) u) z) (((satz14 x) y) l)) k) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))
% 0.44/0.63 Got proof ((((((satz22a y) x) u) z) (((satz14 x) y) l)) k)
% 0.44/0.63 Time elapsed = 0.092055s
% 0.44/0.63 node=18 cost=144.000000 depth=10
% 0.44/0.63::::::::::::::::::::::
% 0.44/0.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.63 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.63 ((((((satz22a y) x) u) z) (((satz14 x) y) l)) k)
% 0.44/0.63 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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