TSTP Solution File: SYO359^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% 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 :
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%----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
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