TSTP Solution File: SYO188^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO188^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 00:50:52 EDT 2022
% Result : Theorem 0.61s 0.76s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO188^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 17:26:57 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
% 0.61/0.76 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.61/0.76 FOF formula ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp)))) of role conjecture named cCT19
% 0.61/0.76 Conjecture to prove = ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp)))):Prop
% 0.61/0.76 We need to prove ['((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))']
% 0.61/0.76 Trying to prove ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))
% 0.61/0.76 Found ex_intro0000:=(ex_intro000 ex_intro0):((ex Prop) (fun (y:Prop)=> y))
% 0.61/0.76 Found (ex_intro000 ex_intro0) as proof of ((ex Prop) (fun (y:Prop)=> y))
% 0.61/0.76 Found ((ex_intro00 (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) ex_intro0) as proof of ((ex Prop) (fun (y:Prop)=> y))
% 0.61/0.76 Found (((ex_intro0 (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) ex_intro0) as proof of ((ex Prop) (fun (y:Prop)=> y))
% 0.61/0.76 Found ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop)) as proof of ((ex Prop) (fun (y:Prop)=> y))
% 0.61/0.76 Found (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop))) as proof of ((ex Prop) (fun (y:Prop)=> y))
% 0.61/0.76 Found (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop))) as proof of ((Prop->Prop)->((ex Prop) (fun (y:Prop)=> y)))
% 0.61/0.76 Found (choice000 (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop)))) as proof of ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))
% 0.61/0.76 Found ((choice00 (fun (x3:(Prop->Prop)) (x20:Prop)=> x20)) (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop)))) as proof of ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))
% 0.61/0.76 Found (((choice0 Prop) (fun (x3:(Prop->Prop)) (x20:Prop)=> x20)) (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop)))) as proof of ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))
% 0.61/0.76 Found ((((choice (Prop->Prop)) Prop) (fun (x3:(Prop->Prop)) (x20:Prop)=> x20)) (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop)))) as proof of ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))
% 0.61/0.76 Found ((((choice (Prop->Prop)) Prop) (fun (x3:(Prop->Prop)) (x20:Prop)=> x20)) (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop)))) as proof of ((ex ((Prop->Prop)->Prop)) (fun (Xq:((Prop->Prop)->Prop))=> (forall (Xp:(Prop->Prop)), (Xq Xp))))
% 0.61/0.76 Got proof ((((choice (Prop->Prop)) Prop) (fun (x3:(Prop->Prop)) (x20:Prop)=> x20)) (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop))))
% 0.61/0.76 Time elapsed = 0.156317s
% 0.61/0.76 node=47 cost=473.000000 depth=10
% 0.61/0.76 ::::::::::::::::::::::
% 0.61/0.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.76 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.76 ((((choice (Prop->Prop)) Prop) (fun (x3:(Prop->Prop)) (x20:Prop)=> x20)) (fun (x:(Prop->Prop))=> ((((ex_intro Prop) (fun (y:Prop)=> y)) (forall (P:(Prop->Prop)) (x:Prop), ((P x)->((ex Prop) P)))) (ex_intro Prop))))
% 0.61/0.76 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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