TSTP Solution File: SYO081^5 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO081^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 00:50:37 EDT 2022
% Result : Theorem 0.47s 0.65s
% 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
% 0.00/0.11 % Problem : SYO081^5 : TPTP v7.5.0. Released v4.0.0.
% 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n019.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 : Fri Mar 11 14:34:42 EST 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.18/0.34 Python 2.7.5
% 0.47/0.65 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1ed8758>, <kernel.Constant object at 0x1ed8518>) of role type named cB
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring cB:fofType
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1edcef0>, <kernel.DependentProduct object at 0x1ed8518>) of role type named cR
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring cR:(fofType->(fofType->Prop))
% 0.47/0.65 FOF formula (<kernel.Constant object at 0x1ed8488>, <kernel.Single object at 0x1ed8248>) of role type named cA
% 0.47/0.65 Using role type
% 0.47/0.65 Declaring cA:fofType
% 0.47/0.65 FOF formula ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))) of role conjecture named cTHM137
% 0.47/0.65 Conjecture to prove = ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))):Prop
% 0.47/0.65 We need to prove ['((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))))']
% 0.47/0.65 Parameter fofType:Type.
% 0.47/0.65 Parameter cB:fofType.
% 0.47/0.65 Parameter cR:(fofType->(fofType->Prop)).
% 0.47/0.65 Parameter cA:fofType.
% 0.47/0.65 Trying to prove ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))))
% 0.47/0.65 Found x1:=(x cB):((cR cB) cA)
% 0.47/0.65 Found (x cB) as proof of ((cR cB) x0)
% 0.47/0.65 Found (x cB) as proof of ((cR cB) x0)
% 0.47/0.65 Found (x cB) as proof of ((cR cB) x0)
% 0.47/0.65 Found (ex_intro000 (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))
% 0.47/0.65 Found ((ex_intro00 cA) (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))
% 0.47/0.65 Found (((ex_intro0 (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))
% 0.47/0.65 Found ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB)) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))
% 0.47/0.65 Found (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB))) as proof of ((ex fofType) (fun (Y:fofType)=> ((cR cB) Y)))
% 0.47/0.65 Found (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB))) as proof of ((forall (X:fofType), ((cR X) cA))->((ex fofType) (fun (Y:fofType)=> ((cR cB) Y))))
% 0.47/0.65 Got proof (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB)))
% 0.47/0.65 Time elapsed = 0.042269s
% 0.47/0.65 node=8 cost=130.000000 depth=8
% 0.47/0.65 ::::::::::::::::::::::
% 0.47/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 (fun (x:(forall (X:fofType), ((cR X) cA)))=> ((((ex_intro fofType) (fun (Y:fofType)=> ((cR cB) Y))) cA) (x cB)))
% 0.47/0.65 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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