TSTP Solution File: SYO531^1 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : SYO531^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 00:52:02 EDT 2022

% Result   : Unknown 0.92s 1.11s
% 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    : SYO531^1 : TPTP v7.5.0. Released v5.2.0.
% 0.06/0.11  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Computer   : n015.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 17:53:20 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
% 0.92/1.11  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.92/1.11  FOF formula (<kernel.Constant object at 0x1fc4cb0>, <kernel.DependentProduct object at 0x1fc49e0>) of role type named eps
% 0.92/1.11  Using role type
% 0.92/1.11  Declaring eps:((fofType->Prop)->fofType)
% 0.92/1.11  FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% 0.92/1.11  A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 0.92/1.11  FOF formula (<kernel.Constant object at 0x1fe1ef0>, <kernel.DependentProduct object at 0x1fc46c8>) of role type named epsa
% 0.92/1.11  Using role type
% 0.92/1.11  Declaring epsa:((fofType->(fofType->Prop))->fofType)
% 0.92/1.11  FOF formula (((eq ((fofType->(fofType->Prop))->fofType)) epsa) (fun (R:(fofType->(fofType->Prop)))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y))))))) of role definition named epsad
% 0.92/1.11  A new definition: (((eq ((fofType->(fofType->Prop))->fofType)) epsa) (fun (R:(fofType->(fofType->Prop)))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))))
% 0.92/1.11  Defined: epsa:=(fun (R:(fofType->(fofType->Prop)))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y))))))
% 0.92/1.11  FOF formula ((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsb:((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 R)))))) of role conjecture named conj
% 0.92/1.11  Conjecture to prove = ((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsb:((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 R)))))):Prop
% 0.92/1.11  Parameter fofType_DUMMY:fofType.
% 0.92/1.11  We need to prove ['((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsb:((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 R))))))']
% 0.92/1.11  Parameter fofType:Type.
% 0.92/1.11  Parameter eps:((fofType->Prop)->fofType).
% 0.92/1.11  Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 0.92/1.11  Definition epsa:=(fun (R:(fofType->(fofType->Prop)))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))):((fofType->(fofType->Prop))->fofType).
% 0.92/1.11  Trying to prove ((ex ((fofType->(fofType->Prop))->fofType)) (fun (Epsb:((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 R))))))
% 0.92/1.11  % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
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