TSTP Solution File: SYO371^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO371^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 00:51:16 EDT 2022
% Result : Theorem 0.14s 0.54s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO371^5 : TPTP v7.5.0. Released v4.0.0.
% 0.00/0.09 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % RAMPerCPU : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % DateTime : Sat Mar 12 08:14:32 EST 2022
% 0.10/0.28 % CPUTime :
% 0.13/0.28 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.29 Python 2.7.5
% 0.14/0.54 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.14/0.54 FOF formula (<kernel.Constant object at 0x163f950>, <kernel.Sort object at 0x2aad6a2dc5a8>) of role type named cQ
% 0.14/0.54 Using role type
% 0.14/0.54 Declaring cQ:Prop
% 0.14/0.54 FOF formula (<kernel.Constant object at 0x163fef0>, <kernel.Sort object at 0x2aad6a2dc5a8>) of role type named cP
% 0.14/0.54 Using role type
% 0.14/0.54 Declaring cP:Prop
% 0.14/0.54 FOF formula ((forall (R:(Prop->Prop)), ((R cP)->(R cQ)))->((iff cP) cQ)) of role conjecture named cEXT_O_LEIB
% 0.14/0.54 Conjecture to prove = ((forall (R:(Prop->Prop)), ((R cP)->(R cQ)))->((iff cP) cQ)):Prop
% 0.14/0.54 We need to prove ['((forall (R:(Prop->Prop)), ((R cP)->(R cQ)))->((iff cP) cQ))']
% 0.14/0.54 Parameter cQ:Prop.
% 0.14/0.54 Parameter cP:Prop.
% 0.14/0.54 Trying to prove ((forall (R:(Prop->Prop)), ((R cP)->(R cQ)))->((iff cP) cQ))
% 0.14/0.54 Found iff_refl0:=(iff_refl cP):((iff cP) cP)
% 0.14/0.54 Found (iff_refl cP) as proof of ((iff cP) cP)
% 0.14/0.54 Found (iff_refl cP) as proof of ((iff cP) cP)
% 0.14/0.54 Found (x0 (iff_refl cP)) as proof of ((iff cP) cQ)
% 0.14/0.54 Found ((x (iff cP)) (iff_refl cP)) as proof of ((iff cP) cQ)
% 0.14/0.54 Found (fun (x:(forall (R:(Prop->Prop)), ((R cP)->(R cQ))))=> ((x (iff cP)) (iff_refl cP))) as proof of ((iff cP) cQ)
% 0.14/0.54 Found (fun (x:(forall (R:(Prop->Prop)), ((R cP)->(R cQ))))=> ((x (iff cP)) (iff_refl cP))) as proof of ((forall (R:(Prop->Prop)), ((R cP)->(R cQ)))->((iff cP) cQ))
% 0.14/0.54 Got proof (fun (x:(forall (R:(Prop->Prop)), ((R cP)->(R cQ))))=> ((x (iff cP)) (iff_refl cP)))
% 0.14/0.54 Time elapsed = 0.034970s
% 0.14/0.54 node=8 cost=-61.000000 depth=5
% 0.14/0.54 ::::::::::::::::::::::
% 0.14/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.54 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.54 (fun (x:(forall (R:(Prop->Prop)), ((R cP)->(R cQ))))=> ((x (iff cP)) (iff_refl cP)))
% 0.14/0.54 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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