%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO359^5 : TPTP v7.5.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n009.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 0.60s 0.81s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYO359^5 : TPTP v7.5.0. Released v4.0.0. % 0.00/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n009.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % RAMPerCPU : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % DateTime : Sat Mar 12 06:51:07 EST 2022 % 0.12/0.33 % CPUTime : % 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.34 Python 2.7.5 % 0.60/0.81 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.60/0.81 FOF formula (<kernel.Constant object at 0x2ae5a66cc560>, <kernel.Type object at 0x2ae5a66cc998>) of role type named b_type % 0.60/0.81 Using role type % 0.60/0.81 Declaring b:Type % 0.60/0.81 FOF formula (<kernel.Constant object at 0x130b488>, <kernel.Type object at 0x2ae5a66cc680>) of role type named g_type % 0.60/0.81 Using role type % 0.60/0.81 Declaring gtype:Type % 0.60/0.81 FOF formula (<kernel.Constant object at 0x2ae5a66cca28>, <kernel.DependentProduct object at 0x2ae5a66cccf8>) of role type named g % 0.60/0.81 Using role type % 0.60/0.81 Declaring g:(b->Prop) % 0.60/0.81 FOF formula (<kernel.Constant object at 0x2ae5a66ccb90>, <kernel.DependentProduct object at 0x2ae5a66eaa70>) of role type named h % 0.60/0.81 Using role type % 0.60/0.81 Declaring h:((b->Prop)->gtype) % 0.60/0.81 FOF formula (<kernel.Constant object at 0x2ae5a66cc998>, <kernel.DependentProduct object at 0x2ae5a66eaa70>) of role type named f % 0.60/0.81 Using role type % 0.60/0.81 Declaring f:(b->Prop) % 0.60/0.81 FOF formula (((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))->((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(((eq gtype) (h f)) (h g)))) of role conjecture named cEXT1 % 0.60/0.81 Conjecture to prove = (((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))->((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(((eq gtype) (h f)) (h g)))):Prop % 0.60/0.81 Parameter b_DUMMY:b. % 0.60/0.81 Parameter gtype_DUMMY:gtype. % 0.60/0.81 We need to prove ['(((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))->((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(((eq gtype) (h f)) (h g))))'] % 0.60/0.81 Parameter b:Type. % 0.60/0.81 Parameter gtype:Type. % 0.60/0.81 Parameter g:(b->Prop). % 0.60/0.81 Parameter h:((b->Prop)->gtype). % 0.60/0.81 Parameter f:(b->Prop). % 0.60/0.81 Trying to prove (((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))->((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(((eq gtype) (h f)) (h g)))) % 0.60/0.81 Found x10:=(x1 (fun (x2:(b->Prop))=> (P (h x2)))):((P (h f))->(P (h g))) % 0.60/0.81 Found (x1 (fun (x2:(b->Prop))=> (P (h x2)))) as proof of ((P (h f))->(P (h g))) % 0.60/0.81 Found ((x x0) (fun (x2:(b->Prop))=> (P (h x2)))) as proof of ((P (h f))->(P (h g))) % 0.60/0.81 Found (fun (P:(gtype->Prop))=> ((x x0) (fun (x2:(b->Prop))=> (P (h x2))))) as proof of ((P (h f))->(P (h g))) % 0.60/0.81 Found (fun (x0:(forall (Xx:b), ((iff (f Xx)) (g Xx)))) (P:(gtype->Prop))=> ((x x0) (fun (x2:(b->Prop))=> (P (h x2))))) as proof of (((eq gtype) (h f)) (h g)) % 0.60/0.81 Found (fun (x:((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))) (x0:(forall (Xx:b), ((iff (f Xx)) (g Xx)))) (P:(gtype->Prop))=> ((x x0) (fun (x2:(b->Prop))=> (P (h x2))))) as proof of ((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(((eq gtype) (h f)) (h g))) % 0.60/0.81 Found (fun (x:((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))) (x0:(forall (Xx:b), ((iff (f Xx)) (g Xx)))) (P:(gtype->Prop))=> ((x x0) (fun (x2:(b->Prop))=> (P (h x2))))) as proof of (((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))->((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(((eq gtype) (h f)) (h g)))) % 0.60/0.81 Got proof (fun (x:((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))) (x0:(forall (Xx:b), ((iff (f Xx)) (g Xx)))) (P:(gtype->Prop))=> ((x x0) (fun (x2:(b->Prop))=> (P (h x2))))) % 0.60/0.81 Time elapsed = 0.183153s % 0.60/0.81 node=24 cost=-53.000000 depth=5 % 0.60/0.81 :::::::::::::::::::::: % 0.60/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.60/0.81 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.60/0.81 (fun (x:((forall (Xx:b), ((iff (f Xx)) (g Xx)))->(forall (Xq:((b->Prop)->Prop)), ((Xq f)->(Xq g))))) (x0:(forall (Xx:b), ((iff (f Xx)) (g Xx)))) (P:(gtype->Prop))=> ((x x0) (fun (x2:(b->Prop))=> (P (h x2))))) % 0.60/0.81 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------