TSTP Solution File: SYO512^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO512^1 : TPTP v7.5.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 00:51:59 EDT 2022
% Result : Theorem 0.47s 0.68s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO512^1 : TPTP v7.5.0. Released v4.1.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Mar 13 13:27:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 0.47/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x13311b8>, <kernel.DependentProduct object at 0x130a5f0>) of role type named eps
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring eps:((fofType->Prop)->fofType)
% 0.47/0.68 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named epschoice
% 0.47/0.68 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 0.47/0.68 FOF formula (<kernel.Constant object at 0x1327c68>, <kernel.DependentProduct object at 0x130a950>) of role type named r
% 0.47/0.68 Using role type
% 0.47/0.68 Declaring r:(fofType->(fofType->Prop))
% 0.47/0.68 FOF formula (forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y)))) of role axiom named rtotal
% 0.47/0.68 A new axiom: (forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))
% 0.47/0.68 FOF formula (forall (X:fofType), ((r X) (eps (r X)))) of role conjecture named claim
% 0.47/0.68 Conjecture to prove = (forall (X:fofType), ((r X) (eps (r X)))):Prop
% 0.47/0.68 Parameter fofType_DUMMY:fofType.
% 0.47/0.68 We need to prove ['(forall (X:fofType), ((r X) (eps (r X))))']
% 0.47/0.68 Parameter fofType:Type.
% 0.47/0.68 Parameter eps:((fofType->Prop)->fofType).
% 0.47/0.68 Axiom epschoice:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 0.47/0.68 Parameter r:(fofType->(fofType->Prop)).
% 0.47/0.68 Axiom rtotal:(forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y)))).
% 0.47/0.68 Trying to prove (forall (X:fofType), ((r X) (eps (r X))))
% 0.47/0.68 Found rtotal0:=(rtotal X):((ex fofType) (fun (Y:fofType)=> ((r X) Y)))
% 0.47/0.68 Found (rtotal X) as proof of ((ex fofType) (fun (X0:fofType)=> ((r X) X0)))
% 0.47/0.68 Found (rtotal X) as proof of ((ex fofType) (fun (X0:fofType)=> ((r X) X0)))
% 0.47/0.68 Found (epschoice0 (rtotal X)) as proof of ((r X) (eps (r X)))
% 0.47/0.68 Found ((epschoice (r X)) (rtotal X)) as proof of ((r X) (eps (r X)))
% 0.47/0.68 Found (fun (X:fofType)=> ((epschoice (r X)) (rtotal X))) as proof of ((r X) (eps (r X)))
% 0.47/0.68 Found (fun (X:fofType)=> ((epschoice (r X)) (rtotal X))) as proof of (forall (X:fofType), ((r X) (eps (r X))))
% 0.47/0.68 Got proof (fun (X:fofType)=> ((epschoice (r X)) (rtotal X)))
% 0.47/0.68 Time elapsed = 0.048334s
% 0.47/0.68 node=16 cost=-56.000000 depth=5
% 0.47/0.68 ::::::::::::::::::::::
% 0.47/0.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.68 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.68 (fun (X:fofType)=> ((epschoice (r X)) (rtotal X)))
% 0.47/0.68 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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