TSTP Solution File: NUM784^1 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : NUM784^1 : TPTP v7.0.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n099.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 13:11:43 EST 2018
% Result : Theorem 1.94s
% Output : Proof 1.94s
% 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 : NUM784^1 : TPTP v7.0.0. Released v3.7.0.
% 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.23 % Computer : n099.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 14:11:34 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.25 Python 2.7.13
% 1.94/2.17 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 1.94/2.17 FOF formula (<kernel.Constant object at 0x2b71344ea950>, <kernel.Type object at 0x2b71343e1f80>) of role type named rat_type
% 1.94/2.17 Using role type
% 1.94/2.17 Declaring rat:Type
% 1.94/2.17 FOF formula (<kernel.Constant object at 0x2b71344eaf80>, <kernel.Constant object at 0x2b71344ead40>) of role type named x0
% 1.94/2.17 Using role type
% 1.94/2.17 Declaring x0:rat
% 1.94/2.17 FOF formula (<kernel.Constant object at 0x2b71344ea998>, <kernel.Constant object at 0x2b71343e1d88>) of role type named y0
% 1.94/2.17 Using role type
% 1.94/2.17 Declaring y0:rat
% 1.94/2.17 FOF formula (<kernel.Constant object at 0x2b71344ead40>, <kernel.DependentProduct object at 0x2b71343e1fc8>) of role type named more
% 1.94/2.17 Using role type
% 1.94/2.17 Declaring more:(rat->(rat->Prop))
% 1.94/2.17 FOF formula (<kernel.Constant object at 0x2b71344ea998>, <kernel.DependentProduct object at 0x2b71343e1dd0>) of role type named is
% 1.94/2.17 Using role type
% 1.94/2.17 Declaring is:(rat->(rat->Prop))
% 1.94/2.17 FOF formula ((((more x0) y0)->False)->((is x0) y0)) of role axiom named m
% 1.94/2.17 A new axiom: ((((more x0) y0)->False)->((is x0) y0))
% 1.94/2.17 FOF formula (<kernel.Constant object at 0x2b71344ea950>, <kernel.DependentProduct object at 0x2b71343e1e60>) of role type named less
% 1.94/2.17 Using role type
% 1.94/2.17 Declaring less:(rat->(rat->Prop))
% 1.94/2.17 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et
% 1.94/2.17 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa))
% 1.94/2.17 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
% 1.94/2.17 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))
% 1.94/2.17 FOF formula (((less x0) y0)->False) of role conjecture named satz81c
% 1.94/2.17 Conjecture to prove = (((less x0) y0)->False):Prop
% 1.94/2.17 We need to prove ['(((less x0) y0)->False)']
% 1.94/2.17 Parameter rat:Type.
% 1.94/2.17 Parameter x0:rat.
% 1.94/2.17 Parameter y0:rat.
% 1.94/2.17 Parameter more:(rat->(rat->Prop)).
% 1.94/2.17 Parameter is:(rat->(rat->Prop)).
% 1.94/2.17 Axiom m:((((more x0) y0)->False)->((is x0) y0)).
% 1.94/2.17 Parameter less:(rat->(rat->Prop)).
% 1.94/2.17 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)).
% 1.94/2.17 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)).
% 1.94/2.17 Trying to prove (((less x0) y0)->False)
% 1.94/2.17 Found x:((less x0) y0)
% 1.94/2.17 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 1.94/2.17 Found x as proof of ((less Xx0) Xy0)
% 1.94/2.17 Found x:((less x0) y0)
% 1.94/2.17 Instantiate: Xy0:=y0:rat;Xx0:=x0:rat
% 1.94/2.17 Found x as proof of ((less Xx0) Xy0)
% 1.94/2.17 Found x30:=(fun (x5:((more Xx0) Xy0))=> ((x3 x5) x)):(((more Xx0) Xy0)->False)
% 1.94/2.17 Found (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x)) as proof of (((more x0) y0)->False)
% 1.94/2.17 Found (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x)) as proof of (((more x0) y0)->False)
% 1.94/2.17 Found (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))) as proof of ((is Xx0) Xy0)
% 1.94/2.17 Found (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))) as proof of ((is Xx0) Xy0)
% 1.94/2.17 Found ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x)))) as proof of False
% 1.94/2.17 Found (fun (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))))) as proof of False
% 1.94/2.17 Found (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))))) as proof of ((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False)
% 1.94/2.17 Found (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))))) as proof of ((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))
% 1.94/2.17 Found (x2 (fun (x3:(((more Xx0) Xy0)->(((less Xx0) Xy0)->False))) (x4:(((less Xx0) Xy0)->(((is Xx0) Xy0)->False)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x)))))) as proof of False
% 1.94/2.17 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)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))))))) as proof of False
% 1.94/2.18 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)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))))))) as proof of ((((((more Xx0) Xy0)->(((less Xx0) Xy0)->False))->((((less Xx0) Xy0)->(((is Xx0) Xy0)->False))->False))->False)->False)
% 1.94/2.18 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)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x))))))) 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))
% 1.94/2.18 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)))=> ((x4 x) (m (fun (x5:((more Xx0) Xy0))=> ((x3 x5) x)))))))) as proof of False
% 1.94/2.18 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)))=> ((x4 x) (m (fun (x5:((more Xx0) y0))=> ((x3 x5) x)))))))) as proof of False
% 1.94/2.18 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)))=> ((x4 x) (m (fun (x5:((more x0) y0))=> ((x3 x5) x)))))))) as proof of False
% 1.94/2.18 Found (fun (x:((less 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)))=> ((x4 x) (m (fun (x5:((more x0) y0))=> ((x3 x5) x))))))))) as proof of False
% 1.94/2.18 Found (fun (x:((less 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)))=> ((x4 x) (m (fun (x5:((more x0) y0))=> ((x3 x5) x))))))))) as proof of (((less x0) y0)->False)
% 1.94/2.18 Got proof (fun (x:((less 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)))=> ((x4 x) (m (fun (x5:((more x0) y0))=> ((x3 x5) x)))))))))
% 1.94/2.18 Time elapsed = 1.654242s
% 1.94/2.18 node=603 cost=926.000000 depth=16
% 1.94/2.18::::::::::::::::::::::
% 1.94/2.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.18 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.18 (fun (x:((less 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)))=> ((x4 x) (m (fun (x5:((more x0) y0))=> ((x3 x5) x)))))))))
% 1.94/2.20 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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