%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO350^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 0s % DateTime : Tue Mar 29 00:51:13 EDT 2022 % Result : Theorem 0.61s 0.80s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYO350^5 : TPTP v7.5.0. Released v4.0.0. % 0.06/0.13 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % RAMPerCPU : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % DateTime : Sat Mar 12 06:17:04 EST 2022 % 0.12/0.34 % CPUTime : % 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.35 Python 2.7.5 % 0.61/0.80 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.61/0.80 FOF formula (<kernel.Constant object at 0x1e05518>, <kernel.DependentProduct object at 0x2b13d835dcb0>) of role type named g % 0.61/0.80 Using role type % 0.61/0.80 Declaring g:(fofType->fofType) % 0.61/0.80 FOF formula (<kernel.Constant object at 0x1e09e60>, <kernel.DependentProduct object at 0x1e053f8>) of role type named p % 0.61/0.80 Using role type % 0.61/0.80 Declaring p:((fofType->fofType)->Prop) % 0.61/0.80 FOF formula (<kernel.Constant object at 0x1e05518>, <kernel.DependentProduct object at 0x2b13d835d908>) of role type named f % 0.61/0.80 Using role type % 0.61/0.80 Declaring f:(fofType->fofType) % 0.61/0.80 FOF formula ((forall (X:fofType), (((eq fofType) (f X)) (g X)))->((p f)->(p g))) of role conjecture named cE1FUNC % 0.61/0.80 Conjecture to prove = ((forall (X:fofType), (((eq fofType) (f X)) (g X)))->((p f)->(p g))):Prop % 0.61/0.80 Parameter fofType_DUMMY:fofType. % 0.61/0.80 We need to prove ['((forall (X:fofType), (((eq fofType) (f X)) (g X)))->((p f)->(p g)))'] % 0.61/0.80 Parameter fofType:Type. % 0.61/0.80 Parameter g:(fofType->fofType). % 0.61/0.80 Parameter p:((fofType->fofType)->Prop). % 0.61/0.80 Parameter f:(fofType->fofType). % 0.61/0.80 Trying to prove ((forall (X:fofType), (((eq fofType) (f X)) (g X)))->((p f)->(p g))) % 0.61/0.80 Found functional_extensionality000000:=(functional_extensionality00000 p):((p f)->(p g)) % 0.61/0.80 Found (functional_extensionality00000 p) as proof of ((p f)->(p g)) % 0.61/0.80 Found ((functional_extensionality0000 x) p) as proof of ((p f)->(p g)) % 0.61/0.80 Found (((functional_extensionality000 g) x) p) as proof of ((p f)->(p g)) % 0.61/0.80 Found ((((functional_extensionality00 f) g) x) p) as proof of ((p f)->(p g)) % 0.61/0.80 Found (((((functional_extensionality0 fofType) f) g) x) p) as proof of ((p f)->(p g)) % 0.61/0.80 Found ((((((functional_extensionality fofType) fofType) f) g) x) p) as proof of ((p f)->(p g)) % 0.61/0.80 Found (fun (x:(forall (X:fofType), (((eq fofType) (f X)) (g X))))=> ((((((functional_extensionality fofType) fofType) f) g) x) p)) as proof of ((p f)->(p g)) % 0.61/0.80 Found (fun (x:(forall (X:fofType), (((eq fofType) (f X)) (g X))))=> ((((((functional_extensionality fofType) fofType) f) g) x) p)) as proof of ((forall (X:fofType), (((eq fofType) (f X)) (g X)))->((p f)->(p g))) % 0.61/0.80 Got proof (fun (x:(forall (X:fofType), (((eq fofType) (f X)) (g X))))=> ((((((functional_extensionality fofType) fofType) f) g) x) p)) % 0.61/0.80 Time elapsed = 0.163856s % 0.61/0.80 node=36 cost=62.000000 depth=7 % 0.61/0.80 :::::::::::::::::::::: % 0.61/0.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.61/0.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.61/0.80 (fun (x:(forall (X:fofType), (((eq fofType) (f X)) (g X))))=> ((((((functional_extensionality fofType) fofType) f) g) x) p)) % 0.61/0.80 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------