%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------