TSTP Solution File: SYO536^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO536^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/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 2.46s 2.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO536^1 : TPTP v7.5.0. Released v5.2.0.
% 0.00/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n012.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 : Sun Mar 13 18:11:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.19/0.34 Python 2.7.5
% 0.43/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x1a03518>, <kernel.DependentProduct object at 0x2b7cd5f663b0>) of role type named eps
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring eps:((fofType->Prop)->fofType)
% 0.43/0.62 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% 0.43/0.62 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b7cd5f4a5a8>, <kernel.DependentProduct object at 0x2b7cd5f66c68>) of role type named epsii
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring epsii:(((fofType->fofType)->Prop)->(fofType->fofType))
% 0.43/0.62 FOF formula (forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P)))) of role axiom named choiceaxii
% 0.43/0.62 A new axiom: (forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x19fa248>, <kernel.DependentProduct object at 0x2b7cd5f66b90>) of role type named epsa
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring epsa:(((fofType->fofType)->(fofType->Prop))->(fofType->fofType))
% 0.43/0.62 FOF formula (((eq (((fofType->fofType)->(fofType->Prop))->(fofType->fofType))) epsa) (fun (R:((fofType->fofType)->(fofType->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y))))))) of role definition named epsad
% 0.43/0.62 A new definition: (((eq (((fofType->fofType)->(fofType->Prop))->(fofType->fofType))) epsa) (fun (R:((fofType->fofType)->(fofType->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))))
% 0.43/0.62 Defined: epsa:=(fun (R:((fofType->fofType)->(fofType->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y))))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2b7cd5f679e0>, <kernel.DependentProduct object at 0x2b7cd5f66b00>) of role type named epsb
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring epsb:(((fofType->fofType)->(fofType->Prop))->fofType)
% 0.43/0.62 FOF formula (((eq (((fofType->fofType)->(fofType->Prop))->fofType)) epsb) (fun (R:((fofType->fofType)->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y))))) of role definition named epsbd
% 0.43/0.62 A new definition: (((eq (((fofType->fofType)->(fofType->Prop))->fofType)) epsb) (fun (R:((fofType->fofType)->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y)))))
% 0.43/0.62 Defined: epsb:=(fun (R:((fofType->fofType)->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y))))
% 0.43/0.62 FOF formula (forall (R:((fofType->fofType)->(fofType->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R)))) of role conjecture named conj
% 0.43/0.62 Conjecture to prove = (forall (R:((fofType->fofType)->(fofType->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R)))):Prop
% 0.43/0.62 Parameter fofType_DUMMY:fofType.
% 0.43/0.62 We need to prove ['(forall (R:((fofType->fofType)->(fofType->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R))))']
% 0.43/0.62 Parameter fofType:Type.
% 0.43/0.62 Parameter eps:((fofType->Prop)->fofType).
% 0.43/0.62 Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 0.43/0.62 Parameter epsii:(((fofType->fofType)->Prop)->(fofType->fofType)).
% 0.43/0.62 Axiom choiceaxii:(forall (P:((fofType->fofType)->Prop)), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> (P X)))->(P (epsii P)))).
% 0.43/0.62 Definition epsa:=(fun (R:((fofType->fofType)->(fofType->Prop)))=> (epsii (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))):(((fofType->fofType)->(fofType->Prop))->(fofType->fofType)).
% 0.43/0.62 Definition epsb:=(fun (R:((fofType->fofType)->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y)))):(((fofType->fofType)->(fofType->Prop))->fofType).
% 0.43/0.62 Trying to prove (forall (R:((fofType->fofType)->(fofType->Prop))), (((ex (fofType->fofType)) (fun (X:(fofType->fofType))=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R))))
% 2.46/2.65 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
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