TSTP Solution File: LCL739^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : LCL739^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n183.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.20.3.el6.x86_64
% CPULimit : 300s
% DateTime : Thu Jul 17 13:26:11 EDT 2014
% Result : Theorem 0.52s
% Output : Proof 0.52s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LCL739^5 : TPTP v6.1.0. Released v4.0.0.
% % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n183.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.20.3.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jul 17 10:44:56 CDT 2014
% % CPUTime : 0.52
% Python 2.7.5
% Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% FOF formula (<kernel.Constant object at 0x16525f0>, <kernel.Type object at 0x1652cf8>) of role type named b_type
% Using role type
% Declaring b:Type
% FOF formula ((forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6)))))))->((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp))))))) of role conjecture named cX5310_SUB2
% Conjecture to prove = ((forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6)))))))->((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp))))))):Prop
% Parameter b_DUMMY:b.
% We need to prove ['((forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6)))))))->((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp)))))))']
% Parameter b:Type.
% Trying to prove ((forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6)))))))->((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp)))))))
% Found b_DUMMY:b
% Found b_DUMMY as proof of b
% Found (choice_operator0 b_DUMMY) as proof of ((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp))))))
% Found ((choice_operator b) b_DUMMY) as proof of ((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp))))))
% Found (fun (x:(forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6))))))))=> ((choice_operator b) b_DUMMY)) as proof of ((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp))))))
% Found (fun (x:(forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6))))))))=> ((choice_operator b) b_DUMMY)) as proof of ((forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6)))))))->((ex ((b->Prop)->b)) (fun (Xj:((b->Prop)->b))=> (forall (Xp:(b->Prop)), (((ex b) (fun (Xz:b)=> (Xp Xz)))->(Xp (Xj Xp)))))))
% Got proof (fun (x:(forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6))))))))=> ((choice_operator b) b_DUMMY))
% Time elapsed = 0.202612s
% node=9 cost=91.000000 depth=4
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (x:(forall (Xr_24:((b->Prop)->(b->(b->Prop)))) (Xr_23:((b->Prop)->(b->(b->Prop)))), ((forall (Xx:(b->Prop)), ((ex b) (fun (Xy:b)=> (forall (Xw_6:b), ((or (((Xr_23 Xx) Xy) Xw_6)) (((Xr_24 Xx) Xy) Xw_6))))))->((ex ((b->Prop)->b)) (fun (Xf:((b->Prop)->b))=> (forall (Xx:(b->Prop)) (Xw_6:b), ((or (((Xr_23 Xx) (Xf Xx)) Xw_6)) (((Xr_24 Xx) (Xf Xx)) Xw_6))))))))=> ((choice_operator b) b_DUMMY))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------