%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU661^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n188.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 13:32:44 EDT 2014

% Result   : Theorem 0.48s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU661^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n188.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 11:04:56 CDT 2014
% % CPUTime  : 0.48 
% 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 0x1da07e8>, <kernel.DependentProduct object at 0x1da0518>) of role type named in
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x1bc1d40>, <kernel.DependentProduct object at 0x1da0518>) of role type named kpair
% Using role type
% Declaring kpair:(fofType->(fofType->fofType))
% FOF formula (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))) of role conjecture named cartprodmempaircEq
% Conjecture to prove = (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter kpair:(fofType->(fofType->fofType)).
% Trying to prove (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))
% Found eq_ref00:=(eq_ref0 ((kpair Xx) Xy)):(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))
% Found (eq_ref0 ((kpair Xx) Xy)) as proof of (((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))
% Found ((eq_ref fofType) ((kpair Xx) Xy)) as proof of (((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))
% Found (fun (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))
% Found (fun (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))
% Found (fun (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))
% Found (fun (Xx:fofType) (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy)))))
% Found (fun (B:fofType) (Xx:fofType) (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))
% Found (fun (A:fofType) (B:fofType) (Xx:fofType) (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (forall (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))
% Found (fun (A:fofType) (B:fofType) (Xx:fofType) (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy))) as proof of (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->(((eq fofType) ((kpair Xx) Xy)) ((kpair Xx) Xy))))))
% Got proof (fun (A:fofType) (B:fofType) (Xx:fofType) (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy)))
% Time elapsed = 0.160226s
% node=13 cost=-151.000000 depth=8
% ::::::::::::::::::::::
% % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% (fun (A:fofType) (B:fofType) (Xx:fofType) (x:((in Xx) A)) (Xy:fofType) (x0:((in Xy) B))=> ((eq_ref fofType) ((kpair Xx) Xy)))
% % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------