%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : PUZ105^5 : TPTP v6.1.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n112.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 13:28:59 EDT 2014

% Result   : Timeout 300.02s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : PUZ105^5 : TPTP v6.1.0. Bugfixed v5.2.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n112.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 08:19:36 CDT 2014
% % CPUTime  : 300.02 
% 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 0x1febcf8>, <kernel.Constant object at 0x1febb00>) of role type named c1_type
% Using role type
% Declaring c1:fofType
% FOF formula (<kernel.Constant object at 0x23a8908>, <kernel.DependentProduct object at 0x1feb5a8>) of role type named s_type
% Using role type
% Declaring s:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x1feb758>, <kernel.DependentProduct object at 0x1feb998>) of role type named cCKB6_NUM_type
% Using role type
% Declaring cCKB6_NUM:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x1febb48>, <kernel.DependentProduct object at 0x1febb00>) of role type named cCKB_E2_type
% Using role type
% Declaring cCKB_E2:(fofType->(fofType->Prop))
% FOF formula (((eq (fofType->Prop)) cCKB6_NUM) (fun (Xx:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp c1)) (forall (Xw:fofType), ((Xp Xw)->(Xp (s Xw)))))->(Xp Xx))))) of role definition named cCKB6_NUM_def
% A new definition: (((eq (fofType->Prop)) cCKB6_NUM) (fun (Xx:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp c1)) (forall (Xw:fofType), ((Xp Xw)->(Xp (s Xw)))))->(Xp Xx)))))
% Defined: cCKB6_NUM:=(fun (Xx:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp c1)) (forall (Xw:fofType), ((Xp Xw)->(Xp (s Xw)))))->(Xp Xx))))
% FOF formula (((eq (fofType->(fofType->Prop))) cCKB_E2) (fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy))))) of role definition named cCKB_E2_def
% A new definition: (((eq (fofType->(fofType->Prop))) cCKB_E2) (fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy)))))
% Defined: cCKB_E2:=(fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy))))
% FOF formula (forall (Xx:fofType), ((cCKB6_NUM Xx)->((cCKB_E2 (s (s Xx))) Xx))) of role conjecture named cCKB_L36000
% Conjecture to prove = (forall (Xx:fofType), ((cCKB6_NUM Xx)->((cCKB_E2 (s (s Xx))) Xx))):Prop
% We need to prove ['(forall (Xx:fofType), ((cCKB6_NUM Xx)->((cCKB_E2 (s (s Xx))) Xx)))']
% Parameter fofType:Type.
% Parameter c1:fofType.
% Parameter s:(fofType->fofType).
% Definition cCKB6_NUM:=(fun (Xx:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp c1)) (forall (Xw:fofType), ((Xp Xw)->(Xp (s Xw)))))->(Xp Xx)))):(fofType->Prop).
% Definition cCKB_E2:=(fun (Xx:fofType) (Xy:fofType)=> (forall (Xp:(fofType->Prop)), (((and (Xp Xx)) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp Xy)))):(fofType->(fofType->Prop)).
% Trying to prove (forall (Xx:fofType), ((cCKB6_NUM Xx)->((cCKB_E2 (s (s Xx))) Xx)))
% Found x3:(Xp (s (s (s Xw))))
% Found x3 as proof of (Xp (s (s (s Xw))))
% Found x40:=(x4 (s Xu)):((Xp (s Xu))->(Xp (s (s (s Xu)))))
% Found (x4 (s Xu)) as proof of ((Xp (s Xu))->(Xp (s (s (s Xu)))))
% Found (fun (Xu:fofType)=> (x4 (s Xu))) as proof of ((Xp (s Xu))->(Xp (s (s (s Xu)))))
% Found (fun (Xu:fofType)=> (x4 (s Xu))) as proof of (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))
% Found ((conj10 x3) (fun (Xu:fofType)=> (x4 (s Xu)))) as proof of ((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu)))))))
% Found (((conj1 (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))) as proof of ((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu)))))))
% Found ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))) as proof of ((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu)))))))
% Found ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))) as proof of ((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu)))))))
% Found (x10 ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu))))) as proof of (Xp (s Xw))
% Found ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu))))) as proof of (Xp (s Xw))
% Found (fun (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))))) as proof of (Xp (s Xw))
% Found (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))))) as proof of ((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->(Xp (s Xw)))
% Found (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))))) as proof of ((Xp (s (s (s Xw))))->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->(Xp (s Xw))))
% Found (and_rect00 (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu))))))) as proof of (Xp (s Xw))
% Found ((and_rect0 (Xp (s Xw))) (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu))))))) as proof of (Xp (s Xw))
% Found (((fun (P:Type) (x3:((Xp (s (s (s Xw))))->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x3) x2)) (Xp (s Xw))) (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu))))))) as proof of (Xp (s Xw))
% Found (fun (x2:((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x3:((Xp (s (s (s Xw))))->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x3) x2)) (Xp (s Xw))) (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))))))) as proof of (Xp (s Xw))
% Found (fun (Xp:(fofType->Prop)) (x2:((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x3:((Xp (s (s (s Xw))))->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x3) x2)) (Xp (s Xw))) (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp (s Xu))->(Xp (s (s (s Xu))))))) x3) (fun (Xu:fofType)=> (x4 (s Xu)))))))) as proof of (((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))->(Xp (s Xw)))
% Found (fun (x1:((cCKB_E2 (s (s Xw))) Xw)) (Xp:(fofType->Prop)) (x2:((and (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))))=> (((fun (P:Type) (x3:((Xp (s (s (s Xw))))->((forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))->P)))=> (((((and_rect (Xp (s (s (s Xw))))) (forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu)))))) P) x3) x2)) (Xp (s Xw))) (fun (x3:(Xp (s (s (s Xw))))) (x4:(forall (Xu:fofType), ((Xp Xu)->(Xp (s (s Xu))))))=> ((x1 (fun (x6:fofType)=> (Xp (s x6)))) ((((conj (X
% EOF
%------------------------------------------------------------------------------