%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU858^5 : TPTP v6.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n095.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 13:33:17 EDT 2014

% Result   : Theorem 0.49s
% Output   : Proof 0.49s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU858^5 : TPTP v6.1.0. Released v4.0.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n095.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 11:37:16 CDT 2014
% % CPUTime  : 0.49 
% 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 0xe58b00>, <kernel.Type object at 0xe58cf8>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))->(Xw (fun (Xx:a)=> False)))) of role conjecture named cTHM163_pme
% Conjecture to prove = (forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))->(Xw (fun (Xx:a)=> False)))):Prop
% Parameter a_DUMMY:a.
% We need to prove ['(forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))->(Xw (fun (Xx:a)=> False))))']
% Parameter a:Type.
% Trying to prove (forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))->(Xw (fun (Xx:a)=> False))))
% Found x0:(Xw (fun (Xx:a)=> False))
% Found (fun (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0) as proof of (Xw (fun (Xx:a)=> False))
% Found (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0) as proof of ((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->(Xw (fun (Xx:a)=> False)))
% Found (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0) as proof of ((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->(Xw (fun (Xx:a)=> False))))
% Found (and_rect00 (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0)) as proof of (Xw (fun (Xx:a)=> False))
% Found ((and_rect0 (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0)) as proof of (Xw (fun (Xx:a)=> False))
% Found (((fun (P:Type) (x0:((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->P)))=> (((((and_rect (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) P) x0) x)) (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0)) as proof of (Xw (fun (Xx:a)=> False))
% Found (fun (x:((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))))=> (((fun (P:Type) (x0:((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->P)))=> (((((and_rect (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) P) x0) x)) (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0))) as proof of (Xw (fun (Xx:a)=> False))
% Found (fun (Xw:((a->Prop)->Prop)) (x:((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))))=> (((fun (P:Type) (x0:((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->P)))=> (((((and_rect (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) P) x0) x)) (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0))) as proof of (((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))->(Xw (fun (Xx:a)=> False)))
% Found (fun (Xw:((a->Prop)->Prop)) (x:((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))))=> (((fun (P:Type) (x0:((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->P)))=> (((((and_rect (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) P) x0) x)) (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0))) as proof of (forall (Xw:((a->Prop)->Prop)), (((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))->(Xw (fun (Xx:a)=> False))))
% Got proof (fun (Xw:((a->Prop)->Prop)) (x:((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))))=> (((fun (P:Type) (x0:((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->P)))=> (((((and_rect (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) P) x0) x)) (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0)))
% Time elapsed = 0.181244s
% node=15 cost=75.000000 depth=8
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (Xw:((a->Prop)->Prop)) (x:((and (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))))=> (((fun (P:Type) (x0:((Xw (fun (Xx:a)=> False))->((forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))->P)))=> (((((and_rect (Xw (fun (Xx:a)=> False))) (forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx))))))) P) x0) x)) (Xw (fun (Xx:a)=> False))) (fun (x0:(Xw (fun (Xx:a)=> False))) (x1:(forall (Xr:(a->Prop)) (Xx:a), ((Xw Xr)->(Xw (fun (Xt:a)=> ((or (Xr Xt)) (((eq a) Xt) Xx)))))))=> x0)))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------