TSTP Solution File: SYO535^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO535^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 00:52:03 EDT 2022
% Result : Unknown 2.56s 2.72s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO535^1 : TPTP v7.5.0. Released v5.2.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n012.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
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sun Mar 13 17:53:49 EDT 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
% 0.40/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x1994cb0>, <kernel.DependentProduct object at 0x2ab50317b7e8>) of role type named eps
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring eps:((fofType->Prop)->fofType)
% 0.40/0.62 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% 0.40/0.62 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x199ecf8>, <kernel.DependentProduct object at 0x1994e18>) of role type named epsii
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring epsii:(((fofType->fofType)->Prop)->(fofType->fofType))
% 0.40/0.62 FOF formula (forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P)))) of role axiom named choiceaxii
% 0.40/0.62 A new axiom: (forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x1994cb0>, <kernel.DependentProduct object at 0x2ab50317b7a0>) of role type named epsa
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring epsa:((fofType->((fofType->fofType)->Prop))->fofType)
% 0.40/0.62 FOF formula (((eq ((fofType->((fofType->fofType)->Prop))->fofType)) epsa) (fun (R:(fofType->((fofType->fofType)->Prop)))=> (eps (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y))))))) of role definition named epsad
% 0.40/0.62 A new definition: (((eq ((fofType->((fofType->fofType)->Prop))->fofType)) epsa) (fun (R:(fofType->((fofType->fofType)->Prop)))=> (eps (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))))
% 0.40/0.62 Defined: epsa:=(fun (R:(fofType->((fofType->fofType)->Prop)))=> (eps (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y))))))
% 0.40/0.62 FOF formula (<kernel.Constant object at 0x1994d40>, <kernel.DependentProduct object at 0x2ab4fb67d7e8>) of role type named epsb
% 0.40/0.62 Using role type
% 0.40/0.62 Declaring epsb:((fofType->((fofType->fofType)->Prop))->(fofType->fofType))
% 0.40/0.62 FOF formula (((eq ((fofType->((fofType->fofType)->Prop))->(fofType->fofType))) epsb) (fun (R:(fofType->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y))))) of role definition named epsbd
% 0.40/0.62 A new definition: (((eq ((fofType->((fofType->fofType)->Prop))->(fofType->fofType))) epsb) (fun (R:(fofType->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y)))))
% 0.40/0.62 Defined: epsb:=(fun (R:(fofType->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y))))
% 0.40/0.62 FOF formula (forall (R:(fofType->((fofType->fofType)->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R)))) of role conjecture named conj
% 0.40/0.62 Conjecture to prove = (forall (R:(fofType->((fofType->fofType)->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R)))):Prop
% 0.40/0.62 Parameter fofType_DUMMY:fofType.
% 0.40/0.62 We need to prove ['(forall (R:(fofType->((fofType->fofType)->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R))))']
% 0.40/0.62 Parameter fofType:Type.
% 0.40/0.62 Parameter eps:((fofType->Prop)->fofType).
% 0.40/0.62 Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 0.40/0.62 Parameter epsii:(((fofType->fofType)->Prop)->(fofType->fofType)).
% 0.40/0.62 Axiom choiceaxii:(forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P)))).
% 0.40/0.62 Definition epsa:=(fun (R:(fofType->((fofType->fofType)->Prop)))=> (eps (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))):((fofType->((fofType->fofType)->Prop))->fofType).
% 0.40/0.62 Definition epsb:=(fun (R:(fofType->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y)))):((fofType->((fofType->fofType)->Prop))->(fofType->fofType)).
% 0.40/0.62 Trying to prove (forall (R:(fofType->((fofType->fofType)->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R))))
% 2.56/2.72 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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