TSTP Solution File: SEU787^2 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU787^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n179.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 13:33:07 EDT 2014

% Result   : Unknown 0.59s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU787^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n179.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 11:28:11 CDT 2014
% % CPUTime  : 0.59 
% 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 0x29b85a8>, <kernel.DependentProduct object at 0x29b89e0>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x2a0e200>, <kernel.DependentProduct object at 0x29b8a70>) of role type named binunion_type
% Using role type
% Declaring binunion:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x25dd488>, <kernel.DependentProduct object at 0x29b8a70>) of role type named kpair_type
% Using role type
% Declaring kpair:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0x25ddab8>, <kernel.DependentProduct object at 0x29b8c20>) of role type named breln1_type
% Using role type
% Declaring breln1:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x25ddab8>, <kernel.Sort object at 0x2870b90>) of role type named breln1unionE_type
% Using role type
% Declaring breln1unionE:Prop
% FOF formula (((eq Prop) breln1unionE) (forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->((or ((in ((kpair Xx) Xy)) R)) ((in ((kpair Xx) Xy)) S)))))))))))) of role definition named breln1unionE
% A new definition: (((eq Prop) breln1unionE) (forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->((or ((in ((kpair Xx) Xy)) R)) ((in ((kpair Xx) Xy)) S))))))))))))
% Defined: breln1unionE:=(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->((or ((in ((kpair Xx) Xy)) R)) ((in ((kpair Xx) Xy)) S)))))))))))
% FOF formula (breln1unionE->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->(forall (Xphi:Prop), ((((in ((kpair Xx) Xy)) R)->Xphi)->((((in ((kpair Xx) Xy)) S)->Xphi)->Xphi))))))))))))) of role conjecture named breln1unionEcases
% Conjecture to prove = (breln1unionE->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->(forall (Xphi:Prop), ((((in ((kpair Xx) Xy)) R)->Xphi)->((((in ((kpair Xx) Xy)) S)->Xphi)->Xphi))))))))))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(breln1unionE->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->(forall (Xphi:Prop), ((((in ((kpair Xx) Xy)) R)->Xphi)->((((in ((kpair Xx) Xy)) S)->Xphi)->Xphi)))))))))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter binunion:(fofType->(fofType->fofType)).
% Parameter kpair:(fofType->(fofType->fofType)).
% Parameter breln1:(fofType->(fofType->Prop)).
% Definition breln1unionE:=(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->((or ((in ((kpair Xx) Xy)) R)) ((in ((kpair Xx) Xy)) S))))))))))):Prop.
% Trying to prove (breln1unionE->(forall (A:fofType) (R:fofType), (((breln1 A) R)->(forall (S:fofType), (((breln1 A) S)->(forall (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) A)->(((in ((kpair Xx) Xy)) ((binunion R) S))->(forall (Xphi:Prop), ((((in ((kpair Xx) Xy)) R)->Xphi)->((((in ((kpair Xx) Xy)) S)->Xphi)->Xphi)))))))))))))
% Found x50:Xphi
% Found (fun (x6:(((in ((kpair Xx) Xy)) S)->Xphi))=> x50) as proof of Xphi
% Found (fun (x6:(((in ((kpair Xx) Xy)) S)->Xphi))=> x50) as proof of ((((in ((kpair Xx) Xy)) S)->Xphi)->Xphi)
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------