TSTP Solution File: SYO532^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO532^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 1.46s 1.63s
% 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 : SYO532^1 : TPTP v7.5.0. Released v5.2.0.
% 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n010.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 17:23:06 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
% 1.46/1.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.46/1.62 FOF formula (<kernel.Constant object at 0xce4c68>, <kernel.DependentProduct object at 0xce15f0>) of role type named eps
% 1.46/1.62 Using role type
% 1.46/1.62 Declaring eps:((fofType->Prop)->fofType)
% 1.46/1.62 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% 1.46/1.62 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 1.46/1.62 FOF formula (<kernel.Constant object at 0xce5248>, <kernel.DependentProduct object at 0xce4908>) of role type named epsb
% 1.46/1.62 Using role type
% 1.46/1.62 Declaring epsb:(((fofType->(fofType->Prop))->fofType)->((fofType->(fofType->Prop))->fofType))
% 1.46/1.62 FOF formula (((eq (((fofType->(fofType->Prop))->fofType)->((fofType->(fofType->Prop))->fofType))) epsb) (fun (Epsa:((fofType->(fofType->Prop))->fofType)) (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (Epsa R)) Y))))) of role definition named epsbd
% 1.46/1.62 A new definition: (((eq (((fofType->(fofType->Prop))->fofType)->((fofType->(fofType->Prop))->fofType))) epsb) (fun (Epsa:((fofType->(fofType->Prop))->fofType)) (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (Epsa R)) Y)))))
% 1.46/1.62 Defined: epsb:=(fun (Epsa:((fofType->(fofType->Prop))->fofType)) (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (Epsa R)) Y))))
% 1.46/1.62 FOF formula ((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsa:((fofType->(fofType->Prop))->fofType))=> (forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (Epsa R)) ((epsb Epsa) R)))))) of role conjecture named conj
% 1.46/1.62 Conjecture to prove = ((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsa:((fofType->(fofType->Prop))->fofType))=> (forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (Epsa R)) ((epsb Epsa) R)))))):Prop
% 1.46/1.62 Parameter fofType_DUMMY:fofType.
% 1.46/1.62 We need to prove ['((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsa:((fofType->(fofType->Prop))->fofType))=> (forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (Epsa R)) ((epsb Epsa) R))))))']
% 1.46/1.62 Parameter fofType:Type.
% 1.46/1.62 Parameter eps:((fofType->Prop)->fofType).
% 1.46/1.62 Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 1.46/1.62 Definition epsb:=(fun (Epsa:((fofType->(fofType->Prop))->fofType)) (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (Epsa R)) Y)))):(((fofType->(fofType->Prop))->fofType)->((fofType->(fofType->Prop))->fofType)).
% 1.46/1.62 Trying to prove ((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsa:((fofType->(fofType->Prop))->fofType))=> (forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (Epsa R)) ((epsb Epsa) R))))))
% 1.46/1.62 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
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