TSTP Solution File: SYN996^1 by cocATP---0.2.0
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% File : cocATP---0.2.0
% Problem : SYN996^1 : TPTP v7.5.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu---x86_64 x86_64--- ------Linux 3.10.0-693.el7.x86_64
% Model : Unavailable
% CPU : Unavailable
% Memory : Unavailable
% OS : Unavailable
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Mar 28 13:41:29 EDT 2022
% Result : Theorem 0.54s 0.94s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN996^1 : TPTP v7.5.0. Released v3.7.0.
% 0.11/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n016.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 : Thu Mar 10 22:33:58 EST 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.18/0.47 Python 2.7.5
% 0.54/0.94 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.54/0.94 FOF formula (<kernel.Constant object at 0x2317128>, <kernel.DependentProduct object at 0x2317908>) of role type named r_decl
% 0.54/0.94 Using role type
% 0.54/0.94 Declaring r:(fofType->(fofType->Prop))
% 0.54/0.94 FOF formula ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X)))))) of role conjecture named conj
% 0.54/0.94 Conjecture to prove = ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X)))))):Prop
% 0.54/0.94 Parameter fofType_DUMMY:fofType.
% 0.54/0.94 We need to prove ['((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X))))))']
% 0.54/0.94 Parameter fofType:Type.
% 0.54/0.94 Parameter r:(fofType->(fofType->Prop)).
% 0.54/0.94 Trying to prove ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X))))))
% 0.54/0.94 Found choice000:=(choice00 r):((forall (x:fofType), ((ex fofType) (fun (y:fofType)=> ((r x) y))))->((ex (fofType->fofType)) (fun (f:(fofType->fofType))=> (forall (x:fofType), ((r x) (f x))))))
% 0.54/0.94 Found (choice00 r) as proof of ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X))))))
% 0.54/0.94 Found ((choice0 fofType) r) as proof of ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X))))))
% 0.54/0.94 Found (((choice fofType) fofType) r) as proof of ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X))))))
% 0.54/0.94 Found (((choice fofType) fofType) r) as proof of ((forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y))))->((ex (fofType->fofType)) (fun (F:(fofType->fofType))=> (forall (X:fofType), ((r X) (F X))))))
% 0.54/0.94 Got proof (((choice fofType) fofType) r)
% 0.54/0.94 Time elapsed = 0.059211s
% 0.54/0.94 node=4 cost=-290.000000 depth=3
% 0.54/0.94 ::::::::::::::::::::::
% 0.54/0.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.94 (((choice fofType) fofType) r)
% 0.54/0.94 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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