%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO232^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n005.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 00:50:58 EDT 2022 % Result : Theorem 0.61s 0.78s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYO232^5 : TPTP v7.5.0. Released v4.0.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.33 % Computer : n005.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 20:22:27 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 % 0.61/0.78 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.61/0.78 FOF formula (<kernel.Constant object at 0xb02fc8>, <kernel.Type object at 0xb02d40>) of role type named a_type % 0.61/0.78 Using role type % 0.61/0.78 Declaring a:Type % 0.61/0.78 FOF formula (<kernel.Constant object at 0x2b6081ea4ab8>, <kernel.DependentProduct object at 0xb02248>) of role type named cP % 0.61/0.78 Using role type % 0.61/0.78 Declaring cP:(a->Prop) % 0.61/0.78 FOF formula (<kernel.Constant object at 0xb02ef0>, <kernel.Constant object at 0xb02248>) of role type named x % 0.61/0.78 Using role type % 0.61/0.78 Declaring x:a % 0.61/0.78 FOF formula (<kernel.Constant object at 0xb02fc8>, <kernel.Sort object at 0x2b6081e9d638>) of role type named cB % 0.61/0.78 Using role type % 0.61/0.78 Declaring cB:Prop % 0.61/0.78 FOF formula (<kernel.Constant object at 0xb02e60>, <kernel.Constant object at 0xb02ef0>) of role type named y % 0.61/0.78 Using role type % 0.61/0.78 Declaring y:fofType % 0.61/0.78 FOF formula (((((eq fofType) y) y)->cB)->((cP x)->((ex a) (fun (Xx0:a)=> (cP Xx0))))) of role conjecture named cADDHYP4 % 0.61/0.78 Conjecture to prove = (((((eq fofType) y) y)->cB)->((cP x)->((ex a) (fun (Xx0:a)=> (cP Xx0))))):Prop % 0.61/0.78 We need to prove ['(((((eq fofType) y) y)->cB)->((cP x)->((ex a) (fun (Xx0:a)=> (cP Xx0)))))'] % 0.61/0.78 Parameter a:Type. % 0.61/0.78 Parameter cP:(a->Prop). % 0.61/0.78 Parameter x:a. % 0.61/0.78 Parameter cB:Prop. % 0.61/0.78 Parameter fofType:Type. % 0.61/0.78 Parameter y:fofType. % 0.61/0.78 Trying to prove (((((eq fofType) y) y)->cB)->((cP x)->((ex a) (fun (Xx0:a)=> (cP Xx0))))) % 0.61/0.78 Found x1:(cP x) % 0.61/0.78 Found x1 as proof of (cP x) % 0.61/0.78 Found (ex_intro000 x1) as proof of ((ex a) (fun (Xx0:a)=> (cP Xx0))) % 0.61/0.78 Found ((ex_intro00 x) x1) as proof of ((ex a) (fun (Xx0:a)=> (cP Xx0))) % 0.61/0.78 Found (((ex_intro0 (fun (Xx0:a)=> (cP Xx0))) x) x1) as proof of ((ex a) (fun (Xx0:a)=> (cP Xx0))) % 0.61/0.78 Found ((((ex_intro a) (fun (Xx0:a)=> (cP Xx0))) x) x1) as proof of ((ex a) (fun (Xx0:a)=> (cP Xx0))) % 0.61/0.78 Found (fun (x1:(cP x))=> ((((ex_intro a) (fun (Xx0:a)=> (cP Xx0))) x) x1)) as proof of ((ex a) (fun (Xx0:a)=> (cP Xx0))) % 0.61/0.78 Found (fun (x0:((((eq fofType) y) y)->cB)) (x1:(cP x))=> ((((ex_intro a) (fun (Xx0:a)=> (cP Xx0))) x) x1)) as proof of ((cP x)->((ex a) (fun (Xx0:a)=> (cP Xx0)))) % 0.61/0.78 Found (fun (x0:((((eq fofType) y) y)->cB)) (x1:(cP x))=> ((((ex_intro a) (fun (Xx0:a)=> (cP Xx0))) x) x1)) as proof of (((((eq fofType) y) y)->cB)->((cP x)->((ex a) (fun (Xx0:a)=> (cP Xx0))))) % 0.61/0.78 Got proof (fun (x0:((((eq fofType) y) y)->cB)) (x1:(cP x))=> ((((ex_intro a) (fun (Xx0:a)=> (cP Xx0))) x) x1)) % 0.61/0.78 Time elapsed = 0.152918s % 0.61/0.78 node=36 cost=330.000000 depth=7 % 0.61/0.78 :::::::::::::::::::::: % 0.61/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.61/0.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.61/0.78 (fun (x0:((((eq fofType) y) y)->cB)) (x1:(cP x))=> ((((ex_intro a) (fun (Xx0:a)=> (cP Xx0))) x) x1)) % 0.61/0.78 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------