TSTP Solution File: SYO233^5 by cocATP---0.2.0
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- Process Solution
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% File : cocATP---0.2.0
% Problem : SYO233^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 00:50:58 EDT 2022
% Result : Theorem 0.48s 0.69s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO233^5 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n003.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 : Fri Mar 11 20:23:41 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 0.48/0.69 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.48/0.69 FOF formula (<kernel.Constant object at 0x14d21b8>, <kernel.DependentProduct object at 0x2ae9c28d28c0>) of role type named cN
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring cN:(fofType->fofType)
% 0.48/0.69 FOF formula (<kernel.Constant object at 0x14d6dd0>, <kernel.DependentProduct object at 0x2ae9c28d2d88>) of role type named cM
% 0.48/0.69 Using role type
% 0.48/0.69 Declaring cM:(fofType->fofType)
% 0.48/0.69 FOF formula ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN)) of role conjecture named cLEIBNIZ
% 0.48/0.69 Conjecture to prove = ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN)):Prop
% 0.48/0.69 Parameter fofType_DUMMY:fofType.
% 0.48/0.69 We need to prove ['((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))']
% 0.48/0.69 Parameter fofType:Type.
% 0.48/0.69 Parameter cN:(fofType->fofType).
% 0.48/0.69 Parameter cM:(fofType->fofType).
% 0.48/0.69 Trying to prove ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Found functional_extensionality_dep0000:=(functional_extensionality_dep000 cN):((forall (x:fofType), (((eq fofType) (cM x)) (cN x)))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Found (functional_extensionality_dep000 cN) as proof of ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Found ((functional_extensionality_dep00 cM) cN) as proof of ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Found (((functional_extensionality_dep0 (fun (x1:fofType)=> fofType)) cM) cN) as proof of ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Found ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) cM) cN) as proof of ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Found ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) cM) cN) as proof of ((forall (Xx:fofType) (Xp:(fofType->Prop)), ((Xp (cM Xx))->(Xp (cN Xx))))->(((eq (fofType->fofType)) cM) cN))
% 0.48/0.69 Got proof ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) cM) cN)
% 0.48/0.69 Time elapsed = 0.072003s
% 0.48/0.69 node=7 cost=-383.000000 depth=4
% 0.48/0.69 ::::::::::::::::::::::
% 0.48/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.69 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.69 ((((functional_extensionality_dep fofType) (fun (x1:fofType)=> fofType)) cM) cN)
% 0.48/0.69 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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