TSTP Solution File: NUM788^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM788^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 13:11:44 EST 2018
% Result : Theorem 2.21s
% Output : Proof 2.21s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM788^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n031.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 14:14:34 CST 2018
% 0.03/0.23 % CPUTime :
% 0.08/0.25 Python 2.7.13
% 2.18/2.38 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 2.18/2.38 FOF formula (<kernel.Constant object at 0x2b44a5775128>, <kernel.Type object at 0x2b44a5852128>) of role type named rat_type
% 2.18/2.38 Using role type
% 2.18/2.38 Declaring rat:Type
% 2.18/2.38 FOF formula (<kernel.Constant object at 0x2b44a584f680>, <kernel.Constant object at 0x2b44a5852518>) of role type named x0
% 2.18/2.38 Using role type
% 2.18/2.38 Declaring x0:rat
% 2.18/2.38 FOF formula (<kernel.Constant object at 0x2b44a5775128>, <kernel.Constant object at 0x2b44a5852518>) of role type named y0
% 2.18/2.38 Using role type
% 2.18/2.38 Declaring y0:rat
% 2.18/2.38 FOF formula (<kernel.Constant object at 0x2b44a5775128>, <kernel.DependentProduct object at 0x2b44a5b3df80>) of role type named more
% 2.18/2.38 Using role type
% 2.18/2.38 Declaring more:(rat->(rat->Prop))
% 2.18/2.38 FOF formula ((more x0) y0) of role axiom named m
% 2.18/2.38 A new axiom: ((more x0) y0)
% 2.18/2.38 FOF formula (<kernel.Constant object at 0x2b44a5852440>, <kernel.DependentProduct object at 0x2b44a5b3dcb0>) of role type named less
% 2.18/2.38 Using role type
% 2.18/2.38 Declaring less:(rat->(rat->Prop))
% 2.18/2.38 FOF formula (<kernel.Constant object at 0x2b44a5852290>, <kernel.DependentProduct object at 0x2b44a5b3db00>) of role type named is
% 2.18/2.38 Using role type
% 2.18/2.38 Declaring is:(rat->(rat->Prop))
% 2.18/2.38 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 2.18/2.38 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 2.18/2.38 FOF formula (forall (Xx0:rat) (Xy0:rat), (((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))->False)) of role axiom named satz81b
% 2.18/2.38 A new axiom: (forall (Xx0:rat) (Xy0:rat), (((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))->False))
% 2.18/2.38 FOF formula (((((less x0) y0)->False)->((is x0) y0))->False) of role conjecture named satz81g
% 2.18/2.38 Conjecture to prove = (((((less x0) y0)->False)->((is x0) y0))->False):Prop
% 2.18/2.38 We need to prove ['(((((less x0) y0)->False)->((is x0) y0))->False)']
% 2.18/2.38 Parameter rat:Type.
% 2.18/2.38 Parameter x0:rat.
% 2.18/2.38 Parameter y0:rat.
% 2.18/2.38 Parameter more:(rat->(rat->Prop)).
% 2.18/2.38 Axiom m:((more x0) y0).
% 2.18/2.38 Parameter less:(rat->(rat->Prop)).
% 2.18/2.38 Parameter is:(rat->(rat->Prop)).
% 2.18/2.38 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 2.18/2.38 Axiom satz81b:(forall (Xx0:rat) (Xy0:rat), (((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))->False)).
% 2.18/2.38 Trying to prove (((((less x0) y0)->False)->((is x0) y0))->False)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found m:((more x0) y0)
% 2.18/2.38 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 2.18/2.38 Found m as proof of ((more Xx0) Xy0)
% 2.18/2.38 Found x30:=(x3 m):(((less Xx0) Xy0)->False)
% 2.18/2.38 Found (x3 m) as proof of (((less x0) y0)->False)
% 2.18/2.38 Found (x3 m) as proof of (((less x0) y0)->False)
% 2.18/2.38 Found (x (x3 m)) as proof of ((is Xx0) Xy0)
% 2.18/2.38 Found (x (x3 m)) as proof of ((is Xx0) Xy0)
% 2.18/2.38 Found ((x1 (x (x3 m))) m) as proof of False
% 2.18/2.38 Found (fun (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m)) as proof of False
% 2.18/2.38 Found (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m)) as proof of ((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False)
% 2.18/2.38 Found (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m)) as proof of ((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))
% 2.21/2.40 Found (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m))) as proof of False
% 2.21/2.40 Found (fun (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m)))) as proof of False
% 2.21/2.40 Found (fun (x1:(((is Xx0) Xy0)->(((more Xx0) Xy0)->False))) (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m)))) as proof of ((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False)
% 2.21/2.40 Found (fun (x1:(((is Xx0) Xy0)->(((more Xx0) Xy0)->False))) (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m)))) as proof of ((((is Xx0) Xy0)->(((more Xx0) Xy0)->False))->((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False))
% 2.21/2.40 Found (satz81b00 (fun (x1:(((is Xx0) Xy0)->(((more Xx0) Xy0)->False))) (x2:(((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x1 (x (x3 m))) m))))) as proof of False
% 2.21/2.40 Found ((satz81b0 y0) (fun (x1:(((is Xx0) y0)->(((more Xx0) y0)->False))) (x2:(((((more Xx0) y0)->(((less Xx0) y0)->False))->((((less Xx0) y0)->(((is Xx0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more Xx0) y0)->(((less Xx0) y0)->False))) (x4:(((less Xx0) y0)->(((is Xx0) y0)->False)))=> ((x1 (x (x3 m))) m))))) as proof of False
% 2.21/2.40 Found (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (x (x3 m))) m))))) as proof of False
% 2.21/2.40 Found (fun (x:((((less x0) y0)->False)->((is x0) y0)))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (x (x3 m))) m)))))) as proof of False
% 2.21/2.40 Found (fun (x:((((less x0) y0)->False)->((is x0) y0)))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (x (x3 m))) m)))))) as proof of (((((less x0) y0)->False)->((is x0) y0))->False)
% 2.21/2.40 Got proof (fun (x:((((less x0) y0)->False)->((is x0) y0)))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (x (x3 m))) m))))))
% 2.21/2.40 Time elapsed = 1.874990s
% 2.21/2.40 node=517 cost=928.000000 depth=16
% 2.21/2.40::::::::::::::::::::::
% 2.21/2.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/2.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/2.40 (fun (x:((((less x0) y0)->False)->((is x0) y0)))=> (((satz81b x0) y0) (fun (x1:(((is x0) y0)->(((more x0) y0)->False))) (x2:(((((more x0) y0)->(((less x0) y0)->False))->((((less x0) y0)->(((is x0) y0)->False))->False))->False))=> (x2 (fun (x3:(((more x0) y0)->(((less x0) y0)->False))) (x4:(((less x0) y0)->(((is x0) y0)->False)))=> ((x1 (x (x3 m))) m))))))
% 2.21/2.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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