TSTP Solution File: SYO534^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO534^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 2.02s 2.23s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO534^1 : TPTP v7.5.0. Released v5.2.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n011.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 19:13:11 EDT 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
% 0.39/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x8eacf8>, <kernel.DependentProduct object at 0x2b357b979998>) of role type named eps
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring eps:((fofType->Prop)->fofType)
% 0.39/0.62 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% 0.39/0.62 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x2b357b97bbd8>, <kernel.DependentProduct object at 0x2b357b979878>) of role type named epsa
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring epsa:((fofType->(fofType->(fofType->Prop)))->fofType)
% 0.39/0.62 FOF formula (((eq ((fofType->(fofType->(fofType->Prop)))->fofType)) epsa) (fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z))))))))) of role definition named epsad
% 0.39/0.62 A new definition: (((eq ((fofType->(fofType->(fofType->Prop)))->fofType)) epsa) (fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z)))))))))
% 0.39/0.62 Defined: epsa:=(fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z))))))))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x8ea560>, <kernel.DependentProduct object at 0x2b357b979998>) of role type named epsb
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring epsb:((fofType->(fofType->(fofType->Prop)))->fofType)
% 0.39/0.62 FOF formula (((eq ((fofType->(fofType->(fofType->Prop)))->fofType)) epsb) (fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R (epsa R)) Y) Z))))))) of role definition named epsbd
% 0.39/0.62 A new definition: (((eq ((fofType->(fofType->(fofType->Prop)))->fofType)) epsb) (fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R (epsa R)) Y) Z)))))))
% 0.39/0.62 Defined: epsb:=(fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R (epsa R)) Y) Z))))))
% 0.39/0.62 FOF formula (<kernel.Constant object at 0x8eacf8>, <kernel.DependentProduct object at 0x8ea560>) of role type named epsc
% 0.39/0.62 Using role type
% 0.39/0.62 Declaring epsc:((fofType->(fofType->(fofType->Prop)))->fofType)
% 0.39/0.62 FOF formula (((eq ((fofType->(fofType->(fofType->Prop)))->fofType)) epsc) (fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Z:fofType)=> (((R (epsa R)) (epsb R)) Z))))) of role definition named epscd
% 0.39/0.62 A new definition: (((eq ((fofType->(fofType->(fofType->Prop)))->fofType)) epsc) (fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Z:fofType)=> (((R (epsa R)) (epsb R)) Z)))))
% 0.39/0.62 Defined: epsc:=(fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Z:fofType)=> (((R (epsa R)) (epsb R)) Z))))
% 0.39/0.62 FOF formula (forall (R:(fofType->(fofType->(fofType->Prop)))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z)))))))->(((R (epsa R)) (epsb R)) (epsc R)))) of role conjecture named conj
% 0.39/0.62 Conjecture to prove = (forall (R:(fofType->(fofType->(fofType->Prop)))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z)))))))->(((R (epsa R)) (epsb R)) (epsc R)))):Prop
% 0.39/0.62 Parameter fofType_DUMMY:fofType.
% 0.39/0.62 We need to prove ['(forall (R:(fofType->(fofType->(fofType->Prop)))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z)))))))->(((R (epsa R)) (epsb R)) (epsc R))))']
% 0.39/0.62 Parameter fofType:Type.
% 0.39/0.62 Parameter eps:((fofType->Prop)->fofType).
% 0.39/0.62 Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 0.39/0.62 Definition epsa:=(fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z)))))))):((fofType->(fofType->(fofType->Prop)))->fofType).
% 2.02/2.23 Definition epsb:=(fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R (epsa R)) Y) Z)))))):((fofType->(fofType->(fofType->Prop)))->fofType).
% 2.02/2.23 Definition epsc:=(fun (R:(fofType->(fofType->(fofType->Prop))))=> (eps (fun (Z:fofType)=> (((R (epsa R)) (epsb R)) Z)))):((fofType->(fofType->(fofType->Prop)))->fofType).
% 2.02/2.23 Trying to prove (forall (R:(fofType->(fofType->(fofType->Prop)))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((ex fofType) (fun (Z:fofType)=> (((R X) Y) Z)))))))->(((R (epsa R)) (epsb R)) (epsc R))))
% 2.02/2.23 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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