%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO352^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n023.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 0.49s 0.69s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.11 % Problem : SYO352^5 : TPTP v7.5.0. Released v4.0.0. % 0.04/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n023.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 06:41:56 EST 2022 % 0.12/0.33 % CPUTime : % 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.49/0.69 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.49/0.69 FOF formula (<kernel.Constant object at 0x1624ab8>, <kernel.DependentProduct object at 0x1624d88>) of role type named n % 0.49/0.69 Using role type % 0.49/0.69 Declaring n:(fofType->fofType) % 0.49/0.69 FOF formula (<kernel.Constant object at 0x1624a70>, <kernel.DependentProduct object at 0x18dfc68>) of role type named m % 0.49/0.69 Using role type % 0.49/0.69 Declaring m:(fofType->fofType) % 0.49/0.69 FOF formula ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q m)->(Q n)))) of role conjecture named cE5EXT % 0.49/0.69 Conjecture to prove = ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q m)->(Q n)))):Prop % 0.49/0.69 Parameter fofType_DUMMY:fofType. % 0.49/0.69 We need to prove ['((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q m)->(Q n))))'] % 0.49/0.69 Parameter fofType:Type. % 0.49/0.69 Parameter n:(fofType->fofType). % 0.49/0.69 Parameter m:(fofType->fofType). % 0.49/0.69 Trying to prove ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q m)->(Q n)))) % 0.49/0.69 Found functional_extensionality_dep0000:=(functional_extensionality_dep000 n):((forall (x:fofType), (((eq fofType) (m x)) (n x)))->(((eq (fofType->fofType)) m) n)) % 0.49/0.69 Found (functional_extensionality_dep000 n) as proof of ((forall (X:fofType), (((eq fofType) (m X)) (n X)))->(((eq (fofType->fofType)) m) n)) % 0.49/0.69 Found ((functional_extensionality_dep00 m) n) as proof of ((forall (X:fofType), (((eq fofType) (m X)) (n X)))->(((eq (fofType->fofType)) m) n)) % 0.49/0.69 Found (((functional_extensionality_dep0 (fun (x1:fofType)=> fofType)) m) n) as proof of ((forall (X:fofType), (((eq fofType) (m X)) (n X)))->(((eq (fofType->fofType)) m) n)) % 0.49/0.69 Found ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) m) n) as proof of ((forall (X:fofType), (((eq fofType) (m X)) (n X)))->(((eq (fofType->fofType)) m) n)) % 0.49/0.69 Found ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) m) n) as proof of ((forall (X:fofType), (((eq fofType) (m X)) (n X)))->(((eq (fofType->fofType)) m) n)) % 0.49/0.69 Found ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) m) n) as proof of ((forall (X:fofType) (P:(fofType->Prop)), ((P (m X))->(P (n X))))->(forall (Q:((fofType->fofType)->Prop)), ((Q m)->(Q n)))) % 0.49/0.69 Got proof ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) m) n) % 0.49/0.69 Time elapsed = 0.073417s % 0.49/0.69 node=11 cost=-290.000000 depth=5 % 0.49/0.69 :::::::::::::::::::::: % 0.49/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.49/0.69 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.49/0.69 ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) m) n) % 0.49/0.69 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------