TSTP Solution File: SYO537^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO537^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 1.06s 1.25s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO537^1 : TPTP v7.5.0. Released v5.2.0.
% 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Computer : n031.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 : Sun Mar 13 18:33:45 EDT 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
% 0.52/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.52/0.68 FOF formula (<kernel.Constant object at 0x13b6ef0>, <kernel.DependentProduct object at 0x13b6f80>) of role type named epsii
% 0.52/0.68 Using role type
% 0.52/0.68 Declaring epsii:(((fofType->fofType)->Prop)->(fofType->fofType))
% 0.52/0.68 FOF formula (forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P)))) of role axiom named choiceaxii
% 0.52/0.68 A new axiom: (forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P))))
% 0.52/0.68 FOF formula (<kernel.Constant object at 0x13bb0e0>, <kernel.DependentProduct object at 0x13b6d40>) of role type named epsa
% 0.52/0.68 Using role type
% 0.52/0.68 Declaring epsa:(((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType))
% 0.52/0.68 FOF formula (((eq (((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType))) epsa) (fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y))))))) of role definition named epsad
% 0.52/0.68 A new definition: (((eq (((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType))) epsa) (fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))))
% 0.52/0.68 Defined: epsa:=(fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y))))))
% 0.52/0.68 FOF formula (<kernel.Constant object at 0x13b6d40>, <kernel.DependentProduct object at 0x13b6f80>) of role type named epsb
% 0.52/0.68 Using role type
% 0.52/0.68 Declaring epsb:(((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType))
% 0.52/0.68 FOF formula (((eq (((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType))) epsb) (fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y))))) of role definition named epsbd
% 0.52/0.68 A new definition: (((eq (((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType))) epsb) (fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y)))))
% 0.52/0.68 Defined: epsb:=(fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y))))
% 0.52/0.68 FOF formula (forall (R:((fofType->fofType)->((fofType->fofType)->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R)))) of role conjecture named conj
% 0.52/0.68 Conjecture to prove = (forall (R:((fofType->fofType)->((fofType->fofType)->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R)))):Prop
% 0.52/0.68 Parameter fofType_DUMMY:fofType.
% 0.52/0.68 We need to prove ['(forall (R:((fofType->fofType)->((fofType->fofType)->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R))))']
% 0.52/0.68 Parameter fofType:Type.
% 0.52/0.68 Parameter epsii:(((fofType->fofType)->Prop)->(fofType->fofType)).
% 0.52/0.68 Axiom choiceaxii:(forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P)))).
% 0.52/0.68 Definition epsa:=(fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))):(((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType)).
% 0.52/0.68 Definition epsb:=(fun (R:((fofType->fofType)->((fofType->fofType)->Prop)))=> (epsii (fun (Y:(fofType->fofType))=> ((R (epsa R)) Y)))):(((fofType->fofType)->((fofType->fofType)->Prop))->(fofType->fofType)).
% 0.52/0.68 Trying to prove (forall (R:((fofType->fofType)->((fofType->fofType)->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex (fofType->fofType)) (fun (Y:(fofType->fofType))=> ((R X) Y)))))->((R (epsa R)) (epsb R))))
% 1.06/1.24 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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