%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEU823^2 : TPTP v6.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n096.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 13:33:14 EDT 2014

% Result   : Timeout 300.09s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : SEU823^2 : TPTP v6.1.0. Released v3.7.0.
% % Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% % Computer : n096.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 11:34:26 CDT 2014
% % CPUTime  : 300.09 
% 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 0x15dcf38>, <kernel.DependentProduct object at 0x15dcab8>) of role type named in_type
% Using role type
% Declaring in:(fofType->(fofType->Prop))
% FOF formula (<kernel.Constant object at 0x17952d8>, <kernel.DependentProduct object at 0x15dca70>) of role type named powerset_type
% Using role type
% Declaring powerset:(fofType->fofType)
% FOF formula (<kernel.Constant object at 0x15dc8c0>, <kernel.DependentProduct object at 0x15dcab8>) of role type named nonempty_type
% Using role type
% Declaring nonempty:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x15dcb00>, <kernel.DependentProduct object at 0x15dc320>) of role type named transitiveset_type
% Using role type
% Declaring transitiveset:(fofType->Prop)
% FOF formula (<kernel.Constant object at 0x15dc998>, <kernel.DependentProduct object at 0x15dca28>) of role type named stricttotalorderedByIn_type
% Using role type
% Declaring stricttotalorderedByIn:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) stricttotalorderedByIn) (fun (A:fofType)=> ((and ((and (forall (Xx:fofType), (((in Xx) A)->(forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->(((and ((in Xx) X)) ((in X) Y))->((in Xx) Y))))))))) (forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->((or ((or (((eq fofType) X) Y)) ((in X) Y))) ((in Y) X)))))))) (forall (X:fofType), (((in X) A)->(((in X) X)->False)))))) of role definition named stricttotalorderedByIn
% A new definition: (((eq (fofType->Prop)) stricttotalorderedByIn) (fun (A:fofType)=> ((and ((and (forall (Xx:fofType), (((in Xx) A)->(forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->(((and ((in Xx) X)) ((in X) Y))->((in Xx) Y))))))))) (forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->((or ((or (((eq fofType) X) Y)) ((in X) Y))) ((in Y) X)))))))) (forall (X:fofType), (((in X) A)->(((in X) X)->False))))))
% Defined: stricttotalorderedByIn:=(fun (A:fofType)=> ((and ((and (forall (Xx:fofType), (((in Xx) A)->(forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->(((and ((in Xx) X)) ((in X) Y))->((in Xx) Y))))))))) (forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->((or ((or (((eq fofType) X) Y)) ((in X) Y))) ((in Y) X)))))))) (forall (X:fofType), (((in X) A)->(((in X) X)->False)))))
% FOF formula (<kernel.Constant object at 0x15dca28>, <kernel.DependentProduct object at 0x15dcb00>) of role type named wellorderedByIn_type
% Using role type
% Declaring wellorderedByIn:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) wellorderedByIn) (fun (A:fofType)=> ((and (stricttotalorderedByIn A)) (forall (X:fofType), (((in X) (powerset A))->((nonempty X)->((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) X)) (forall (Y:fofType), (((in Y) X)->((or (((eq fofType) Xx) Y)) ((in Xx) Y))))))))))))) of role definition named wellorderedByIn
% A new definition: (((eq (fofType->Prop)) wellorderedByIn) (fun (A:fofType)=> ((and (stricttotalorderedByIn A)) (forall (X:fofType), (((in X) (powerset A))->((nonempty X)->((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) X)) (forall (Y:fofType), (((in Y) X)->((or (((eq fofType) Xx) Y)) ((in Xx) Y)))))))))))))
% Defined: wellorderedByIn:=(fun (A:fofType)=> ((and (stricttotalorderedByIn A)) (forall (X:fofType), (((in X) (powerset A))->((nonempty X)->((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) X)) (forall (Y:fofType), (((in Y) X)->((or (((eq fofType) Xx) Y)) ((in Xx) Y))))))))))))
% FOF formula (<kernel.Constant object at 0x15dcb00>, <kernel.DependentProduct object at 0x15dcab8>) of role type named ordinal_type
% Using role type
% Declaring ordinal:(fofType->Prop)
% FOF formula (((eq (fofType->Prop)) ordinal) (fun (Xx:fofType)=> ((and (transitiveset Xx)) (wellorderedByIn Xx)))) of role definition named ordinal
% A new definition: (((eq (fofType->Prop)) ordinal) (fun (Xx:fofType)=> ((and (transitiveset Xx)) (wellorderedByIn Xx))))
% Defined: ordinal:=(fun (Xx:fofType)=> ((and (transitiveset Xx)) (wellorderedByIn Xx)))
% FOF formula (<kernel.Constant object at 0x15dcea8>, <kernel.Sort object at 0x14a7a28>) of role type named ordinalTransSet_type
% Using role type
% Declaring ordinalTransSet:Prop
% FOF formula (((eq Prop) ordinalTransSet) (forall (X:fofType), ((ordinal X)->(forall (Xx:fofType) (A:fofType), (((in A) X)->(((in Xx) A)->((in Xx) X))))))) of role definition named ordinalTransSet
% A new definition: (((eq Prop) ordinalTransSet) (forall (X:fofType), ((ordinal X)->(forall (Xx:fofType) (A:fofType), (((in A) X)->(((in Xx) A)->((in Xx) X)))))))
% Defined: ordinalTransSet:=(forall (X:fofType), ((ordinal X)->(forall (Xx:fofType) (A:fofType), (((in A) X)->(((in Xx) A)->((in Xx) X))))))
% FOF formula (<kernel.Constant object at 0x15dc320>, <kernel.Sort object at 0x14a7a28>) of role type named ordinalIrrefl_type
% Using role type
% Declaring ordinalIrrefl:Prop
% FOF formula (((eq Prop) ordinalIrrefl) (forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in A) X)->(((in A) A)->False)))))) of role definition named ordinalIrrefl
% A new definition: (((eq Prop) ordinalIrrefl) (forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in A) X)->(((in A) A)->False))))))
% Defined: ordinalIrrefl:=(forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in A) X)->(((in A) A)->False)))))
% FOF formula (ordinalTransSet->(ordinalIrrefl->(forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in X) A)->(((in A) X)->False))))))) of role conjecture named ordinalNoCycle
% Conjecture to prove = (ordinalTransSet->(ordinalIrrefl->(forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in X) A)->(((in A) X)->False))))))):Prop
% Parameter fofType_DUMMY:fofType.
% We need to prove ['(ordinalTransSet->(ordinalIrrefl->(forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in X) A)->(((in A) X)->False)))))))']
% Parameter fofType:Type.
% Parameter in:(fofType->(fofType->Prop)).
% Parameter powerset:(fofType->fofType).
% Parameter nonempty:(fofType->Prop).
% Parameter transitiveset:(fofType->Prop).
% Definition stricttotalorderedByIn:=(fun (A:fofType)=> ((and ((and (forall (Xx:fofType), (((in Xx) A)->(forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->(((and ((in Xx) X)) ((in X) Y))->((in Xx) Y))))))))) (forall (X:fofType), (((in X) A)->(forall (Y:fofType), (((in Y) A)->((or ((or (((eq fofType) X) Y)) ((in X) Y))) ((in Y) X)))))))) (forall (X:fofType), (((in X) A)->(((in X) X)->False))))):(fofType->Prop).
% Definition wellorderedByIn:=(fun (A:fofType)=> ((and (stricttotalorderedByIn A)) (forall (X:fofType), (((in X) (powerset A))->((nonempty X)->((ex fofType) (fun (Xx:fofType)=> ((and ((in Xx) X)) (forall (Y:fofType), (((in Y) X)->((or (((eq fofType) Xx) Y)) ((in Xx) Y)))))))))))):(fofType->Prop).
% Definition ordinal:=(fun (Xx:fofType)=> ((and (transitiveset Xx)) (wellorderedByIn Xx))):(fofType->Prop).
% Definition ordinalTransSet:=(forall (X:fofType), ((ordinal X)->(forall (Xx:fofType) (A:fofType), (((in A) X)->(((in Xx) A)->((in Xx) X)))))):Prop.
% Definition ordinalIrrefl:=(forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in A) X)->(((in A) A)->False))))):Prop.
% Trying to prove (ordinalTransSet->(ordinalIrrefl->(forall (X:fofType), ((ordinal X)->(forall (A:fofType), (((in X) A)->(((in A) X)->False)))))))
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x400000:=(x40000 x2):((in X) X)
% Found (x40000 x2) as proof of ((in X) X)
% Found ((x4000 x3) x2) as proof of ((in X) X)
% Found (((x400 A) x3) x2) as proof of ((in X) X)
% Found ((((x40 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x4 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x400000:=(x40000 x2):((in X) X)
% Found (x40000 x2) as proof of ((in X) X)
% Found ((x4000 x3) x2) as proof of ((in X) X)
% Found (((x400 A) x3) x2) as proof of ((in X) X)
% Found ((((x40 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x4 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x400000:=(x40000 x2):((in X) X)
% Found (x40000 x2) as proof of ((in X) X)
% Found ((x4000 x3) x2) as proof of ((in X) X)
% Found (((x400 A) x3) x2) as proof of ((in X) X)
% Found ((((x40 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x4 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x400000:=(x40000 x2):((in X) X)
% Found (x40000 x2) as proof of ((in X) X)
% Found ((x4000 x3) x2) as proof of ((in X) X)
% Found (((x400 A) x3) x2) as proof of ((in X) X)
% Found ((((x40 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x4 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x600000:=(x60000 x2):((in X) X)
% Found (x60000 x2) as proof of ((in X) X)
% Found ((x6000 x3) x2) as proof of ((in X) X)
% Found (((x600 A) x3) x2) as proof of ((in X) X)
% Found ((((x60 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x6 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x600000:=(x60000 x2):((in X) X)
% Found (x60000 x2) as proof of ((in X) X)
% Found ((x6000 x3) x2) as proof of ((in X) X)
% Found (((x600 A) x3) x2) as proof of ((in X) X)
% Found ((((x60 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x6 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x600000:=(x60000 x2):((in X) X)
% Found (x60000 x2) as proof of ((in X) X)
% Found ((x6000 x5) x2) as proof of ((in X) X)
% Found (((x600 A) x5) x2) as proof of ((in X) X)
% Found ((((x60 X) A) x5) x2) as proof of ((in X) X)
% Found (((((x6 x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x600000:=(x60000 x2):((in X) X)
% Found (x60000 x2) as proof of ((in X) X)
% Found ((x6000 x3) x2) as proof of ((in X) X)
% Found (((x600 A) x3) x2) as proof of ((in X) X)
% Found ((((x60 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x6 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x11:((in A) X)
% Found x11 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x600000:=(x60000 x2):((in X) X)
% Found (x60000 x2) as proof of ((in X) X)
% Found ((x6000 x5) x2) as proof of ((in X) X)
% Found (((x600 A) x5) x2) as proof of ((in X) X)
% Found ((((x60 X) A) x5) x2) as proof of ((in X) X)
% Found (((((x6 x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x600000:=(x60000 x2):((in X) X)
% Found (x60000 x2) as proof of ((in X) X)
% Found ((x6000 x3) x2) as proof of ((in X) X)
% Found (((x600 A) x3) x2) as proof of ((in X) X)
% Found ((((x60 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x6 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x11:((in A) X)
% Found x11 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x11:((in A) X)
% Found x11 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x3) x2) as proof of ((in X) X)
% Found (((x800 A) x3) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x3) x2) as proof of ((in X) X)
% Found (((x800 A) x3) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x7) x2) as proof of ((in X) X)
% Found (((x800 A) x7) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x7) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x7) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x7) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x7) x2) as proof of ((in X) X)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x3) x2) as proof of ((in X) X)
% Found (((x800 A) x3) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x5) x2) as proof of ((in X) X)
% Found (((x800 A) x5) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x5) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x7) x2) as proof of ((in X) X)
% Found (((x800 A) x7) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x7) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x7) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x7) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x7) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x3) x2) as proof of ((in X) X)
% Found (((x800 A) x3) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x800000:=(x80000 x2):((in X) X)
% Found (x80000 x2) as proof of ((in X) X)
% Found ((x8000 x5) x2) as proof of ((in X) X)
% Found (((x800 A) x5) x2) as proof of ((in X) X)
% Found ((((x80 X) A) x5) x2) as proof of ((in X) X)
% Found (((((x8 x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x1:(ordinal X)
% Found x1 as proof of (ordinal X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x1000000:=(x100000 x2):((in X) X)
% Found (x100000 x2) as proof of ((in X) X)
% Found ((x10000 x3) x2) as proof of ((in X) X)
% Found (((x1000 A) x3) x2) as proof of ((in X) X)
% Found ((((x100 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x10 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x1000000:=(x100000 x2):((in X) X)
% Found (x100000 x2) as proof of ((in X) X)
% Found ((x10000 x3) x2) as proof of ((in X) X)
% Found (((x1000 A) x3) x2) as proof of ((in X) X)
% Found ((((x100 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x10 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x9:((in A) X)
% Found x9 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x2:((in X) A)
% Found x2 as proof of ((in X) A)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x1000000:=(x100000 x2):((in X) X)
% Found (x100000 x2) as proof of ((in X) X)
% Found ((x10000 x9) x2) as proof of ((in X) X)
% Found (((x1000 A) x9) x2) as proof of ((in X) X)
% Found ((((x100 X) A) x9) x2) as proof of ((in X) X)
% Found (((((x10 x1) X) A) x9) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x9) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x9) x2) as proof of ((in X) X)
% Found x1000000:=(x100000 x2):((in X) X)
% Found (x100000 x2) as proof of ((in X) X)
% Found ((x10000 x3) x2) as proof of ((in X) X)
% Found (((x1000 A) x3) x2) as proof of ((in X) X)
% Found ((((x100 X) A) x3) x2) as proof of ((in X) X)
% Found (((((x10 x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x3) x2) as proof of ((in X) X)
% Found x1000000:=(x100000 x2):((in X) X)
% Found (x100000 x2) as proof of ((in X) X)
% Found ((x10000 x5) x2) as proof of ((in X) X)
% Found (((x1000 A) x5) x2) as proof of ((in X) X)
% Found ((((x100 X) A) x5) x2) as proof of ((in X) X)
% Found (((((x10 x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x5) x2) as proof of ((in X) X)
% Found x1000000:=(x100000 x2):((in X) X)
% Found (x100000 x2) as proof of ((in X) X)
% Found ((x10000 x7) x2) as proof of ((in X) X)
% Found (((x1000 A) x7) x2) as proof of ((in X) X)
% Found ((((x100 X) A) x7) x2) as proof of ((in X) X)
% Found (((((x10 x1) X) A) x7) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x7) x2) as proof of ((in X) X)
% Found ((((((x X) x1) X) A) x7) x2) as proof of ((in X) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x5:((in A) X)
% Found x5 as proof of ((in A) X)
% Found x7:((in A) X)
% Found x7 as proof of ((in A) X)
% Found x3:((in A) X)
% Found x3 as proof of ((in A) X)
% Found x2:((in X) A)
% Found x2 as proof of ((in X)
% EOF
%------------------------------------------------------------------------------