TSTP Solution File: SEV246^6 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SEV246^6 : TPTP v6.1.0. Released v5.1.0.
% 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 13:33:56 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  : SEV246^6 : TPTP v6.1.0. Released v5.1.0.
% % 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 08:37:01 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 0x1b4cf38>, <kernel.Type object at 0x1b4cbd8>) of role type named a_type
% Using role type
% Declaring a:Type
% FOF formula (<kernel.Constant object at 0x1838758>, <kernel.DependentProduct object at 0x1b4c7e8>) of role type named cK
% Using role type
% Declaring cK:((a->Prop)->(a->Prop))
% FOF formula ((forall (X:(a->Prop)) (Y:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((cK X) Xx)->((cK Y) Xx)))))->(forall (Xx:a), (((cK (fun (Xx0:a)=> ((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx1:a), ((S Xx1)->((cK S) Xx1)))) (S Xx0)))))) Xx)->((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx0:a), ((S Xx0)->((cK S) Xx0)))) (S Xx))))))) of role conjecture named cTHM116_1S
% Conjecture to prove = ((forall (X:(a->Prop)) (Y:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((cK X) Xx)->((cK Y) Xx)))))->(forall (Xx:a), (((cK (fun (Xx0:a)=> ((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx1:a), ((S Xx1)->((cK S) Xx1)))) (S Xx0)))))) Xx)->((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx0:a), ((S Xx0)->((cK S) Xx0)))) (S Xx))))))):Prop
% Parameter a_DUMMY:a.
% We need to prove ['((forall (X:(a->Prop)) (Y:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((cK X) Xx)->((cK Y) Xx)))))->(forall (Xx:a), (((cK (fun (Xx0:a)=> ((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx1:a), ((S Xx1)->((cK S) Xx1)))) (S Xx0)))))) Xx)->((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx0:a), ((S Xx0)->((cK S) Xx0)))) (S Xx)))))))']
% Parameter a:Type.
% Parameter cK:((a->Prop)->(a->Prop)).
% Trying to prove ((forall (X:(a->Prop)) (Y:(a->Prop)), ((forall (Xx:a), ((X Xx)->(Y Xx)))->(forall (Xx:a), (((cK X) Xx)->((cK Y) Xx)))))->(forall (Xx:a), (((cK (fun (Xx0:a)=> ((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx1:a), ((S Xx1)->((cK S) Xx1)))) (S Xx0)))))) Xx)->((ex (a->Prop)) (fun (S:(a->Prop))=> ((and (forall (Xx0:a), ((S Xx0)->((cK S) Xx0)))) (S Xx)))))))
% Found x00:(x1 Xx0)
% Instantiate: x1:=(cK X):(a->Prop)
% Found x00 as proof of ((cK X) Xx0)
% Found x3:(X Xx1)
% Instantiate: X:=(cK X0):(a->Prop)
% Found x3 as proof of ((cK X0) Xx1)
% Found x3:(X Xx1)
% Instantiate: X:=(cK X0):(a->Prop)
% Found x3 as proof of ((cK X0) Xx1)
% Found x5:(X0 Xx2)
% Instantiate: X0:=(cK X1):(a->Prop)
% Found x5 as proof of ((cK X1) Xx2)
% Found x5:(X0 Xx2)
% Instantiate: X0:=(cK X1):(a->Prop)
% Found x5 as proof of ((cK X1) Xx2)
% Found x5:(X0 Xx2)
% Instantiate: X0:=(cK X1):(a->Prop)
% Found x5 as proof of ((cK X1) Xx2)
% Found x5:(X0 Xx2)
% Instantiate: X0:=(cK X1):(a->Prop)
% Found x5 as proof of ((cK X1) Xx2)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x7:(X1 Xx3)
% Instantiate: X1:=(cK X2):(a->Prop)
% Found x7 as proof of ((cK X2) Xx3)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x9:(X2 Xx4)
% Instantiate: X2:=(cK X3):(a->Prop)
% Found x9 as proof of ((cK X3) Xx4)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x11:(X3 Xx5)
% Instantiate: X3:=(cK X4):(a->Prop)
% Found x11 as proof of ((cK X4) Xx5)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x13:(X4 Xx6)
% Instantiate: X4:=(cK X5):(a->Prop)
% Found x13 as proof of ((cK X5) Xx6)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x17:(X6 Xx8)
% Instantiate: X6:=(cK X7):(a->Prop)
% Found x17 as proof of ((cK X7) Xx8)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x15:(X5 Xx7)
% Instantiate: X5:=(cK X6):(a->Prop)
% Found x15 as proof of ((cK X6) Xx7)
% Found x17:(X6 Xx8)
% Instantiate: X6:=(cK X7):(a->Prop)
% Found x17 as proof of ((cK X7) Xx8)
% Found x17:(X6 Xx8)
% Instantiate: X6:=(cK X7):(a->Prop)
% Found x17 as proof of ((cK X7) Xx8)
% Found x17:(X6 Xx8)
% Instantiate: X6:=(cK X7):(a->Prop)
% Found x17
% EOF
%------------------------------------------------------------------------------