TSTP Solution File: SYO286^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO286^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 00:51:05 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO286^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 01:07:12 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.48/0.64 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2400950>, <kernel.Constant object at 0x2400050>) of role type named y
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring y:fofType
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2405488>, <kernel.DependentProduct object at 0x2400e60>) of role type named cQ
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring cQ:(fofType->Prop)
% 0.48/0.64 FOF formula (<kernel.Constant object at 0x2400950>, <kernel.DependentProduct object at 0x24008c0>) of role type named cR
% 0.48/0.64 Using role type
% 0.48/0.64 Declaring cR:(fofType->Prop)
% 0.48/0.64 FOF formula ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))) of role conjecture named cTEST1
% 0.48/0.64 Conjecture to prove = ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))):Prop
% 0.48/0.64 We need to prove ['((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)))']
% 0.48/0.64 Parameter fofType:Type.
% 0.48/0.64 Parameter y:fofType.
% 0.48/0.64 Parameter cQ:(fofType->Prop).
% 0.48/0.64 Parameter cR:(fofType->Prop).
% 0.48/0.64 Trying to prove ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)))
% 0.48/0.64 Found x0:=(x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0)))):(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))
% 0.48/0.64 Found (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0)))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))
% 0.48/0.64 Found (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y))
% 0.48/0.64 Found (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0))))) as proof of ((forall (Xp:(fofType->Prop)), (Xp y))->(((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ y)))
% 0.48/0.64 Got proof (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0)))))
% 0.48/0.64 Time elapsed = 0.036607s
% 0.48/0.64 node=3 cost=-94.000000 depth=2
% 0.48/0.64 ::::::::::::::::::::::
% 0.48/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 (fun (x:(forall (Xp:(fofType->Prop)), (Xp y)))=> (x (fun (x0:fofType)=> (((ex fofType) (fun (Xx:fofType)=> (cR Xx)))->(cQ x0)))))
% 0.48/0.64 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------