TSTP Solution File: SYO527^1 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO527^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 00:52:02 EDT 2022
% Result : Theorem 0.47s 0.66s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO527^1 : TPTP v7.5.0. Released v5.2.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Mon Mar 14 11:46:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.47/0.66 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x250d7a0>, <kernel.Type object at 0x250d518>) of role type named a
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring a:Type
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x2511cb0>, <kernel.Type object at 0x250d128>) of role type named b
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring b:Type
% 0.47/0.66 FOF formula (<kernel.Constant object at 0x250d5a8>, <kernel.DependentProduct object at 0x2aadf4a683b0>) of role type named r
% 0.47/0.66 Using role type
% 0.47/0.66 Declaring r:(a->(b->Prop))
% 0.47/0.66 FOF formula (forall (X:a), ((ex b) (fun (Y:b)=> ((r X) Y)))) of role axiom named rtotal
% 0.47/0.66 A new axiom: (forall (X:a), ((ex b) (fun (Y:b)=> ((r X) Y))))
% 0.47/0.66 FOF formula ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X))))) of role conjecture named skolem
% 0.47/0.66 Conjecture to prove = ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X))))):Prop
% 0.47/0.66 Parameter a_DUMMY:a.
% 0.47/0.66 Parameter b_DUMMY:b.
% 0.47/0.66 We need to prove ['((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))']
% 0.47/0.66 Parameter a:Type.
% 0.47/0.66 Parameter b:Type.
% 0.47/0.66 Parameter r:(a->(b->Prop)).
% 0.47/0.66 Axiom rtotal:(forall (X:a), ((ex b) (fun (Y:b)=> ((r X) Y)))).
% 0.47/0.66 Trying to prove ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))
% 0.47/0.66 Found rtotal:(forall (X:a), ((ex b) (fun (Y:b)=> ((r X) Y))))
% 0.47/0.66 Found rtotal as proof of (forall (x:a), ((ex b) (fun (y:b)=> ((r x) y))))
% 0.47/0.66 Found (choice000 rtotal) as proof of ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))
% 0.47/0.66 Found ((choice00 r) rtotal) as proof of ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))
% 0.47/0.66 Found (((choice0 b) r) rtotal) as proof of ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))
% 0.47/0.66 Found ((((choice a) b) r) rtotal) as proof of ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))
% 0.47/0.66 Found ((((choice a) b) r) rtotal) as proof of ((ex (a->b)) (fun (F:(a->b))=> (forall (X:a), ((r X) (F X)))))
% 0.47/0.66 Got proof ((((choice a) b) r) rtotal)
% 0.47/0.66 Time elapsed = 0.051066s
% 0.47/0.66 node=13 cost=123.000000 depth=5
% 0.47/0.66 ::::::::::::::::::::::
% 0.47/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.66 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.66 ((((choice a) b) r) rtotal)
% 0.47/0.66 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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