%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO131^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n015.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 00:50:42 EDT 2022 % Result : Theorem 0.48s 0.66s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYO131^5 : TPTP v7.5.0. Released v4.0.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.33 % Computer : n015.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % RAMPerCPU : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % DateTime : Fri Mar 11 16:04:03 EST 2022 % 0.13/0.33 % CPUTime : % 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.13/0.34 Python 2.7.5 % 0.48/0.66 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.48/0.66 FOF formula (<kernel.Constant object at 0x24cd2d8>, <kernel.DependentProduct object at 0x24cd908>) of role type named f % 0.48/0.66 Using role type % 0.48/0.66 Declaring f:(fofType->fofType) % 0.48/0.66 FOF formula (<kernel.Constant object at 0x24d1ea8>, <kernel.DependentProduct object at 0x24cd908>) of role type named cR % 0.48/0.66 Using role type % 0.48/0.66 Declaring cR:(fofType->(fofType->Prop)) % 0.48/0.66 FOF formula (<kernel.Constant object at 0x24cd518>, <kernel.Single object at 0x24cdab8>) of role type named a % 0.48/0.66 Using role type % 0.48/0.66 Declaring a:fofType % 0.48/0.66 FOF formula (<kernel.Constant object at 0x24cddd0>, <kernel.DependentProduct object at 0x24aad88>) of role type named g % 0.48/0.66 Using role type % 0.48/0.66 Declaring g:(fofType->fofType) % 0.48/0.66 FOF formula (((cR (g (f a))) (f (g (f a))))->((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx))))) of role conjecture named cEXAMPLE1 % 0.48/0.66 Conjecture to prove = (((cR (g (f a))) (f (g (f a))))->((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx))))):Prop % 0.48/0.66 We need to prove ['(((cR (g (f a))) (f (g (f a))))->((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))))'] % 0.48/0.66 Parameter fofType:Type. % 0.48/0.66 Parameter f:(fofType->fofType). % 0.48/0.66 Parameter cR:(fofType->(fofType->Prop)). % 0.48/0.66 Parameter a:fofType. % 0.48/0.66 Parameter g:(fofType->fofType). % 0.48/0.66 Trying to prove (((cR (g (f a))) (f (g (f a))))->((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx))))) % 0.48/0.66 Found x:((cR (g (f a))) (f (g (f a)))) % 0.48/0.66 Found x as proof of ((cR (g (f a))) (f (g (f a)))) % 0.48/0.66 Found (ex_intro000 x) as proof of ((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) % 0.48/0.66 Found ((ex_intro00 (g (f a))) x) as proof of ((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) % 0.48/0.66 Found (((ex_intro0 (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) (g (f a))) x) as proof of ((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) % 0.48/0.66 Found ((((ex_intro fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) (g (f a))) x) as proof of ((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) % 0.48/0.66 Found (fun (x:((cR (g (f a))) (f (g (f a)))))=> ((((ex_intro fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) (g (f a))) x)) as proof of ((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) % 0.48/0.66 Found (fun (x:((cR (g (f a))) (f (g (f a)))))=> ((((ex_intro fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) (g (f a))) x)) as proof of (((cR (g (f a))) (f (g (f a))))->((ex fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx))))) % 0.48/0.66 Got proof (fun (x:((cR (g (f a))) (f (g (f a)))))=> ((((ex_intro fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) (g (f a))) x)) % 0.48/0.66 Time elapsed = 0.052021s % 0.48/0.66 node=7 cost=314.000000 depth=6 % 0.48/0.66 :::::::::::::::::::::: % 0.48/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.66 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.48/0.66 (fun (x:((cR (g (f a))) (f (g (f a)))))=> ((((ex_intro fofType) (fun (Xx:fofType)=> ((cR Xx) (f Xx)))) (g (f a))) x)) % 0.48/0.66 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------