%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU627^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n185.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 13:32:39 EDT 2014

% Result   : Unknown 0.52s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU627^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n185.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 10:57:01 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 0xeb1d88>, <kernel.DependentProduct object at 0xeb1320>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x126e368>, <kernel.Single object at 0xeb15a8>) of role type named emptyset_type
% Using role type
% Declaring emptyset:fofType
% FOF formula (<kernel.Constant object at 0xeb1320>, <kernel.DependentProduct object at 0xeb15f0>) of role type named setadjoin_type
% Using role type
% Declaring setadjoin:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0xeb1fc8>, <kernel.DependentProduct object at 0x12e2830>) of role type named powerset_type
% Using role type
% Declaring powerset:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0xeb15a8>, <kernel.DependentProduct object at 0x12e20e0>) of role type named subset_type
% Using role type
% Declaring subset:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0xeb15f0>, <kernel.Sort object at 0x1144dd0>) of role type named subsetI2_type
% Using role type
% Declaring subsetI2:Prop
% FOF formula (((eq Prop) subsetI2) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))) of role definition named subsetI2
% A new definition: (((eq Prop) subsetI2) (forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))))
% Defined: subsetI2:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B)))
% FOF formula (<kernel.Constant object at 0xeb1d40>, <kernel.DependentProduct object at 0x12e2830>) of role type named binunion_type
% Using role type
% Declaring binunion:(fofType->(fofType->fofType))
% FOF formula (<kernel.Constant object at 0xeb15a8>, <kernel.Sort object at 0x1144dd0>) of role type named singletoninpowunion_type
% Using role type
% Declaring singletoninpowunion:Prop
% FOF formula (((eq Prop) singletoninpowunion) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in ((setadjoin Xx) emptyset)) (powerset ((binunion A) B)))))) of role definition named singletoninpowunion
% A new definition: (((eq Prop) singletoninpowunion) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in ((setadjoin Xx) emptyset)) (powerset ((binunion A) B))))))
% Defined: singletoninpowunion:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in ((setadjoin Xx) emptyset)) (powerset ((binunion A) B)))))
% FOF formula (<kernel.Constant object at 0xeb15a8>, <kernel.Sort object at 0x1144dd0>) of role type named upairset2E_type
% Using role type
% Declaring upairset2E:Prop
% FOF formula (((eq Prop) upairset2E) (forall (Xx:fofType) (Xy:fofType) (Xz:fofType), (((in Xz) ((setadjoin Xx) ((setadjoin Xy) emptyset)))->((or (((eq fofType) Xz) Xx)) (((eq fofType) Xz) Xy))))) of role definition named upairset2E
% A new definition: (((eq Prop) upairset2E) (forall (Xx:fofType) (Xy:fofType) (Xz:fofType), (((in Xz) ((setadjoin Xx) ((setadjoin Xy) emptyset)))->((or (((eq fofType) Xz) Xx)) (((eq fofType) Xz) Xy)))))
% Defined: upairset2E:=(forall (Xx:fofType) (Xy:fofType) (Xz:fofType), (((in Xz) ((setadjoin Xx) ((setadjoin Xy) emptyset)))->((or (((eq fofType) Xz) Xx)) (((eq fofType) Xz) Xy))))
% FOF formula (<kernel.Constant object at 0xeb1bd8>, <kernel.Sort object at 0x1144dd0>) of role type named upairinpowunion_type
% Using role type
% Declaring upairinpowunion:Prop
% FOF formula (((eq Prop) upairinpowunion) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((in ((setadjoin Xx) ((setadjoin Xy) emptyset))) (powerset ((binunion A) B)))))))) of role definition named upairinpowunion
% A new definition: (((eq Prop) upairinpowunion) (forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((in ((setadjoin Xx) ((setadjoin Xy) emptyset))) (powerset ((binunion A) B))))))))
% Defined: upairinpowunion:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((in ((setadjoin Xx) ((setadjoin Xy) emptyset))) (powerset ((binunion A) B)))))))
% FOF formula (subsetI2->(singletoninpowunion->(upairset2E->(upairinpowunion->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((subset ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) (powerset ((binunion A) B))))))))))) of role conjecture named ubforcartprodlem1
% Conjecture to prove = (subsetI2->(singletoninpowunion->(upairset2E->(upairinpowunion->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((subset ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) (powerset ((binunion A) B))))))))))):Prop
% We need to prove ['(subsetI2->(singletoninpowunion->(upairset2E->(upairinpowunion->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((subset ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) (powerset ((binunion A) B)))))))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter emptyset:fofType.
% Parameter setadjoin:(fofType->(fofType->fofType)).
% Parameter powerset:(fofType->fofType).
% Parameter subset:(fofType->(fofType->Prop)).
% Definition subsetI2:=(forall (A:fofType) (B:fofType), ((forall (Xx:fofType), (((in Xx) A)->((in Xx) B)))->((subset A) B))):Prop.
% Parameter binunion:(fofType->(fofType->fofType)).
% Definition singletoninpowunion:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->((in ((setadjoin Xx) emptyset)) (powerset ((binunion A) B))))):Prop.
% Definition upairset2E:=(forall (Xx:fofType) (Xy:fofType) (Xz:fofType), (((in Xz) ((setadjoin Xx) ((setadjoin Xy) emptyset)))->((or (((eq fofType) Xz) Xx)) (((eq fofType) Xz) Xy)))):Prop.
% Definition upairinpowunion:=(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((in ((setadjoin Xx) ((setadjoin Xy) emptyset))) (powerset ((binunion A) B))))))):Prop.
% Trying to prove (subsetI2->(singletoninpowunion->(upairset2E->(upairinpowunion->(forall (A:fofType) (B:fofType) (Xx:fofType), (((in Xx) A)->(forall (Xy:fofType), (((in Xy) B)->((subset ((setadjoin ((setadjoin Xx) emptyset)) ((setadjoin ((setadjoin Xx) ((setadjoin Xy) emptyset))) emptyset))) (powerset ((binunion A) B)))))))))))
% % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
% EOF
%------------------------------------------------------------------------------