%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO356^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n029.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 00:51:14 EDT 2022 % Result : Theorem 0.54s 0.72s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SYO356^5 : TPTP v7.5.0. Released v4.0.0. % 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.32 % Computer : n029.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % RAMPerCPU : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % DateTime : Sat Mar 12 06:48:45 EST 2022 % 0.11/0.32 % CPUTime : % 0.11/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.11/0.33 Python 2.7.5 % 0.54/0.72 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.54/0.72 FOF formula (<kernel.Constant object at 0x1f124d0>, <kernel.Type object at 0x21a6dd0>) of role type named a_type % 0.54/0.72 Using role type % 0.54/0.72 Declaring a:Type % 0.54/0.72 FOF formula (<kernel.Constant object at 0x1f08e60>, <kernel.Constant object at 0x21a6908>) of role type named v % 0.54/0.72 Using role type % 0.54/0.72 Declaring v:a % 0.54/0.72 FOF formula (<kernel.Constant object at 0x2b9b116ba950>, <kernel.Constant object at 0x21a6908>) of role type named u % 0.54/0.72 Using role type % 0.54/0.72 Declaring u:a % 0.54/0.72 FOF formula ((forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v)))->(forall (Xq:(a->Prop)), ((Xq u)->(Xq v)))) of role conjecture named cE1LEIBEQ2_pme % 0.54/0.72 Conjecture to prove = ((forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v)))->(forall (Xq:(a->Prop)), ((Xq u)->(Xq v)))):Prop % 0.54/0.72 We need to prove ['((forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v)))->(forall (Xq:(a->Prop)), ((Xq u)->(Xq v))))'] % 0.54/0.72 Parameter a:Type. % 0.54/0.72 Parameter v:a. % 0.54/0.72 Parameter u:a. % 0.54/0.72 Trying to prove ((forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v)))->(forall (Xq:(a->Prop)), ((Xq u)->(Xq v)))) % 0.54/0.72 Found eq_ref0:=(eq_ref a):(forall (a0:a), (((eq a) a0) a0)) % 0.54/0.72 Found (eq_ref a) as proof of (forall (Z:a), (((eq a) Z) Z)) % 0.54/0.72 Found (eq_ref a) as proof of (forall (Z:a), (((eq a) Z) Z)) % 0.54/0.72 Found (x0 (eq_ref a)) as proof of (((eq a) u) v) % 0.54/0.72 Found ((x (eq a)) (eq_ref a)) as proof of (((eq a) u) v) % 0.54/0.72 Found (fun (x:(forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v))))=> ((x (eq a)) (eq_ref a))) as proof of (((eq a) u) v) % 0.54/0.72 Found (fun (x:(forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v))))=> ((x (eq a)) (eq_ref a))) as proof of ((forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v)))->(((eq a) u) v)) % 0.54/0.72 Found (fun (x:(forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v))))=> ((x (eq a)) (eq_ref a))) as proof of ((forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v)))->(forall (Xq:(a->Prop)), ((Xq u)->(Xq v)))) % 0.54/0.72 Got proof (fun (x:(forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v))))=> ((x (eq a)) (eq_ref a))) % 0.54/0.72 Time elapsed = 0.120294s % 0.54/0.72 node=25 cost=-11.000000 depth=6 % 0.54/0.72 :::::::::::::::::::::: % 0.54/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.54/0.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.54/0.72 (fun (x:(forall (Q:(a->(a->Prop))), ((forall (Z:a), ((Q Z) Z))->((Q u) v))))=> ((x (eq a)) (eq_ref a))) % 0.54/0.72 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------