TSTP Solution File: SYO530^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO530^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 1.27s 1.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO530^1 : TPTP v7.5.0. Released v5.2.0.
% 0.04/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 17:01:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 1.27/1.44 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.27/1.44 FOF formula (<kernel.Constant object at 0x2b3b70315a28>, <kernel.DependentProduct object at 0xe396c8>) of role type named eps
% 1.27/1.44 Using role type
% 1.27/1.44 Declaring eps:((fofType->Prop)->fofType)
% 1.27/1.44 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax
% 1.27/1.44 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 1.27/1.44 FOF formula (<kernel.Constant object at 0xe3d488>, <kernel.DependentProduct object at 0xe39f38>) of role type named epsa
% 1.27/1.44 Using role type
% 1.27/1.44 Declaring epsa:((fofType->(fofType->Prop))->fofType)
% 1.27/1.44 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
% 1.27/1.44 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)))))))
% 1.27/1.44 Defined: epsa:=(fun (R:(fofType->(fofType->Prop)))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y))))))
% 1.27/1.44 FOF formula (<kernel.Constant object at 0x2b3b703155f0>, <kernel.DependentProduct object at 0xe39ef0>) of role type named epsb
% 1.27/1.44 Using role type
% 1.27/1.44 Declaring epsb:((fofType->(fofType->Prop))->fofType)
% 1.27/1.44 FOF formula (((eq ((fofType->(fofType->Prop))->fofType)) epsb) (fun (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y))))) of role definition named epsbd
% 1.27/1.44 A new definition: (((eq ((fofType->(fofType->Prop))->fofType)) epsb) (fun (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y)))))
% 1.27/1.44 Defined: epsb:=(fun (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y))))
% 1.27/1.44 FOF formula (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
% 1.27/1.44 Conjecture to prove = (forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R)))):Prop
% 1.27/1.44 Parameter fofType_DUMMY:fofType.
% 1.27/1.44 We need to prove ['(forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R))))']
% 1.27/1.44 Parameter fofType:Type.
% 1.27/1.44 Parameter eps:((fofType->Prop)->fofType).
% 1.27/1.44 Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 1.27/1.44 Definition epsa:=(fun (R:(fofType->(fofType->Prop)))=> (eps (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))):((fofType->(fofType->Prop))->fofType).
% 1.27/1.44 Definition epsb:=(fun (R:(fofType->(fofType->Prop)))=> (eps (fun (Y:fofType)=> ((R (epsa R)) Y)))):((fofType->(fofType->Prop))->fofType).
% 1.27/1.44 Trying to prove (forall (R:(fofType->(fofType->Prop))), (((ex fofType) (fun (X:fofType)=> ((ex fofType) (fun (Y:fofType)=> ((R X) Y)))))->((R (epsa R)) (epsb R))))
% 1.27/1.44 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------