TSTP Solution File: SYO390^5 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO390^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:19 EDT 2022
% Result : Timeout 290.38s 290.76s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO390^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Mar 12 10:54:11 EST 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 6.25/6.42 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 6.25/6.42 FOF formula (forall (Xp:Prop) (Xq:Prop), (((iff Xp) Xq)->(((eq Prop) Xp) Xq))) of role conjecture named cEXT_eq_0
% 6.25/6.42 Conjecture to prove = (forall (Xp:Prop) (Xq:Prop), (((iff Xp) Xq)->(((eq Prop) Xp) Xq))):Prop
% 6.25/6.42 We need to prove ['(forall (Xp:Prop) (Xq:Prop), (((iff Xp) Xq)->(((eq Prop) Xp) Xq)))']
% 6.25/6.42 Trying to prove (forall (Xp:Prop) (Xq:Prop), (((iff Xp) Xq)->(((eq Prop) Xp) Xq)))
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 6.25/6.42 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.25/6.42 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found x00:(P Xp)
% 6.25/6.42 Found (fun (x00:(P Xp))=> x00) as proof of (P Xp)
% 6.25/6.42 Found (fun (x00:(P Xp))=> x00) as proof of (P0 Xp)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 6.25/6.42 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.25/6.42 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found x20:(P Xp)
% 6.25/6.42 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 6.25/6.42 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 6.25/6.42 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.25/6.42 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.25/6.42 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 6.25/6.42 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.25/6.42 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 6.25/6.42 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found x0:(P Xp)
% 6.25/6.42 Instantiate: b:=Xp:Prop
% 6.25/6.42 Found x0 as proof of (P0 b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 6.25/6.42 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 6.25/6.42 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 6.25/6.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 6.25/6.42 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 6.25/6.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found x2:(P Xp)
% 12.69/12.85 Instantiate: b:=Xp:Prop
% 12.69/12.85 Found x2 as proof of (P0 b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 12.69/12.85 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 12.69/12.85 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found x0:(P0 b)
% 12.69/12.85 Instantiate: b:=Xp:Prop
% 12.69/12.85 Found (fun (x0:(P0 b))=> x0) as proof of (P0 Xp)
% 12.69/12.85 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 Xp))
% 12.69/12.85 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 12.69/12.85 Found x00:(P Xp)
% 12.69/12.85 Found (fun (x00:(P Xp))=> x00) as proof of (P Xp)
% 12.69/12.85 Found (fun (x00:(P Xp))=> x00) as proof of (P0 Xp)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 12.69/12.85 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.69/12.85 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found x0:(P Xq)
% 12.69/12.85 Instantiate: b:=Xq:Prop
% 12.69/12.85 Found x0 as proof of (P0 b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 12.69/12.85 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 12.69/12.85 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.69/12.85 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.69/12.85 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 12.69/12.85 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.69/12.85 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 12.69/12.85 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.69/12.85 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 12.69/12.85 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 12.69/12.85 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 12.69/12.85 Found x00:(P b)
% 12.69/12.85 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 18.14/18.29 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 18.14/18.29 Found x20:(P Xp)
% 18.14/18.29 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 18.14/18.29 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 18.14/18.29 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.14/18.29 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 18.14/18.29 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found x2:(P0 b)
% 18.14/18.29 Instantiate: b:=Xp:Prop
% 18.14/18.29 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 18.14/18.29 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 18.14/18.29 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 18.14/18.29 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.14/18.29 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 18.14/18.29 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.14/18.29 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 18.14/18.29 Found x2:(P Xq)
% 18.14/18.29 Instantiate: b:=Xq:Prop
% 18.14/18.29 Found x2 as proof of (P0 b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 18.14/18.29 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found x00:(P Xq)
% 18.14/18.29 Found (fun (x00:(P Xq))=> x00) as proof of (P Xq)
% 18.14/18.29 Found (fun (x00:(P Xq))=> x00) as proof of (P0 Xq)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 18.14/18.29 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 18.14/18.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 18.14/18.29 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 18.14/18.29 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 18.14/18.29 Found x2:(P0 b)
% 18.14/18.29 Instantiate: b:=Xp:Prop
% 18.14/18.29 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 18.14/18.29 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 18.14/18.29 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 18.14/18.29 Found x2:(P Xq)
% 18.14/18.29 Instantiate: b:=Xq:Prop
% 18.14/18.29 Found x2 as proof of (P0 b)
% 18.14/18.29 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 18.14/18.29 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 18.14/18.29 Found x10:=(x1 x00):Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found x00:=(x0 x10):Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found x20:(P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 21.61/21.78 Found x20:(P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 21.61/21.78 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 21.61/21.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found x00:=(x0 x10):Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found x10:=(x1 x00):Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found x20:(P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 21.61/21.78 Found x20:(P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 21.61/21.78 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 21.61/21.78 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 21.61/21.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 21.61/21.78 Found x00:=(x0 x10):Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found x10:=(x1 x00):Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 21.61/21.78 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 21.61/21.78 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 21.61/21.78 Found x10:=(x1 x00):Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found (x1 x00) as proof of Xp
% 21.61/21.78 Found x00:=(x0 x10):Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found (x0 x10) as proof of Xq
% 21.61/21.78 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 21.61/21.78 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.61/21.78 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.61/21.78 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 21.61/21.78 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.61/21.78 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 21.61/21.78 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 27.70/27.87 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 27.70/27.87 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 27.70/27.87 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 27.70/27.87 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 27.70/27.87 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.70/27.87 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 27.70/27.87 Found x10:=(x1 x00):Xp
% 27.70/27.87 Found (x1 x00) as proof of Xp
% 27.70/27.87 Found (x1 x00) as proof of Xp
% 27.70/27.87 Found x00:=(x0 x10):Xq
% 27.70/27.87 Found (x0 x10) as proof of Xq
% 27.70/27.87 Found (x0 x10) as proof of Xq
% 27.70/27.87 Found x20:(P b)
% 27.70/27.87 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 27.70/27.87 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 27.70/27.87 Found x00:(P b)
% 27.70/27.87 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 27.70/27.87 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 27.70/27.87 Found x00:(P Xp)
% 27.70/27.87 Found (fun (x00:(P Xp))=> x00) as proof of (P Xp)
% 27.70/27.87 Found (fun (x00:(P Xp))=> x00) as proof of (P0 Xp)
% 27.70/27.87 Found x10:=(x1 x00):Xp
% 27.70/27.87 Found (x1 x00) as proof of Xp
% 27.70/27.87 Found (x1 x00) as proof of Xp
% 27.70/27.87 Found x00:=(x0 x10):Xq
% 27.70/27.87 Found (x0 x10) as proof of Xq
% 27.70/27.87 Found (x0 x10) as proof of Xq
% 27.70/27.87 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 27.70/27.87 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.70/27.87 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found x20:(P b)
% 27.70/27.87 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 27.70/27.87 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.70/27.87 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 27.70/27.87 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 27.70/27.87 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.70/27.87 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found x20:(P Xq)
% 27.70/27.87 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 27.70/27.87 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.70/27.87 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 27.70/27.87 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 27.70/27.87 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 27.70/27.87 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 27.70/27.87 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 31.83/31.98 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 31.83/31.98 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 31.83/31.98 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 31.83/31.98 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 31.83/31.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.83/31.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.83/31.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 31.83/31.98 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 31.83/31.98 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 31.83/31.98 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 31.83/31.98 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 31.83/31.98 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 31.83/31.98 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 31.83/31.98 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 31.83/31.98 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 31.83/31.98 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 31.83/31.98 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 31.83/31.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 31.83/31.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 31.83/31.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 31.83/31.98 Found x20:(P Xq)
% 31.83/31.98 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 31.83/31.98 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 31.83/31.98 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 31.83/31.98 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found x00:=(x0 x10):Xq
% 31.83/31.98 Found (x0 x10) as proof of Xq
% 31.83/31.98 Found (x0 x10) as proof of Xq
% 31.83/31.98 Found x10:=(x1 x00):Xp
% 31.83/31.98 Found (x1 x00) as proof of Xp
% 31.83/31.98 Found (x1 x00) as proof of Xp
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 31.83/31.98 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 31.83/31.98 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 31.83/31.98 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 31.83/31.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 31.83/31.98 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 31.83/31.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 35.10/35.30 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.10/35.30 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found x00:=(x0 x10):Xq
% 35.10/35.30 Found (x0 x10) as proof of Xq
% 35.10/35.30 Found (x0 x10) as proof of Xq
% 35.10/35.30 Found x10:=(x1 x00):Xp
% 35.10/35.30 Found (x1 x00) as proof of Xp
% 35.10/35.30 Found (x1 x00) as proof of Xp
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.10/35.30 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 35.10/35.30 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.10/35.30 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 35.10/35.30 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found x20:(P Xp)
% 35.10/35.30 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 35.10/35.30 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.10/35.30 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 35.10/35.30 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.10/35.30 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 35.10/35.30 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 35.10/35.30 Found x10:=(x1 x00):Xp
% 35.10/35.30 Found (x1 x00) as proof of Xp
% 35.10/35.30 Found (x1 x00) as proof of Xp
% 35.10/35.30 Found x00:=(x0 x10):Xq
% 35.10/35.30 Found (x0 x10) as proof of Xq
% 35.10/35.30 Found (x0 x10) as proof of Xq
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.10/35.30 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 35.10/35.30 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.10/35.30 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 35.10/35.30 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 35.10/35.30 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x20:(P Xq)
% 44.14/44.31 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 44.14/44.31 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 44.14/44.31 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 44.14/44.31 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 44.14/44.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 44.14/44.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xp)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 44.14/44.31 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 44.14/44.31 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x20:=(x2 x10):Xp
% 44.14/44.31 Found (x2 x10) as proof of Xp
% 44.14/44.31 Found (x2 x10) as proof of Xp
% 44.14/44.31 Found x10:=(x1 x20):Xq
% 44.14/44.31 Found (x1 x20) as proof of Xq
% 44.14/44.31 Found (x1 x20) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x20:(P Xq)
% 44.14/44.31 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 44.14/44.31 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 44.14/44.31 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 44.14/44.31 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 44.14/44.31 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 44.14/44.31 Found x20:=(x2 x10):Xp
% 44.14/44.31 Found (x2 x10) as proof of Xp
% 44.14/44.31 Found (x2 x10) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 44.14/44.31 Found x00:=(x0 x10):Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found (x0 x10) as proof of Xq
% 44.14/44.31 Found x10:=(x1 x00):Xp
% 44.14/44.31 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x20:(P b)
% 50.31/50.47 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 50.31/50.47 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 50.31/50.47 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 50.31/50.47 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 50.31/50.47 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 50.31/50.47 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 50.31/50.47 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found x00:=(x0 x10):Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found (x0 x10) as proof of Xq
% 50.31/50.47 Found x10:=(x1 x00):Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found (x1 x00) as proof of Xp
% 50.31/50.47 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 50.31/50.47 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 50.31/50.47 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 50.31/50.47 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 50.31/50.47 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 50.31/50.47 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 50.31/50.47 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 50.31/50.47 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 55.60/55.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 55.60/55.79 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found x10:=(x1 x20):Xq
% 55.60/55.79 Found (x1 x20) as proof of Xq
% 55.60/55.79 Found (x1 x20) as proof of Xq
% 55.60/55.79 Found x20:=(x2 x10):Xp
% 55.60/55.79 Found (x2 x10) as proof of Xp
% 55.60/55.79 Found (x2 x10) as proof of Xp
% 55.60/55.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 55.60/55.79 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 55.60/55.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 55.60/55.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x10:=(x1 x00):Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found (x1 x00) as proof of Xp
% 55.60/55.79 Found x20:=(x2 x10):Xp
% 55.60/55.79 Found (x2 x10) as proof of Xp
% 55.60/55.79 Found (x2 x10) as proof of Xp
% 55.60/55.79 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 55.60/55.79 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 55.60/55.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 55.60/55.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 55.60/55.79 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 55.60/55.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 55.60/55.79 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 55.60/55.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 55.60/55.79 Found x00:=(x0 x10):Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 55.60/55.79 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x20):Xq
% 69.38/69.56 Found (x1 x20) as proof of Xq
% 69.38/69.56 Found (x1 x20) as proof of Xq
% 69.38/69.56 Found x20:=(x2 x10):Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x20):Xq
% 69.38/69.56 Found (x1 x20) as proof of Xq
% 69.38/69.56 Found (x1 x20) as proof of Xq
% 69.38/69.56 Found x20:=(x2 x10):Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x20:=(x2 x10):Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found x20:=(x2 x10):Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found (x2 x10) as proof of Xp
% 69.38/69.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 69.38/69.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 69.38/69.56 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 69.38/69.56 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 69.38/69.56 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 69.38/69.56 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found (x1 x00) as proof of Xp
% 69.38/69.56 Found x00:=(x0 x10):Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found (x0 x10) as proof of Xq
% 69.38/69.56 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x0:(P Xp)
% 82.98/83.17 Instantiate: b:=Xp:Prop
% 82.98/83.17 Found x0 as proof of (P0 b)
% 82.98/83.17 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 82.98/83.17 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 82.98/83.17 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 82.98/83.17 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 82.98/83.17 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x2:(P Xq)
% 82.98/83.17 Instantiate: b:=Xq:Prop
% 82.98/83.17 Found x2 as proof of (P0 b)
% 82.98/83.17 Found x2:(P Xq)
% 82.98/83.17 Instantiate: b:=Xq:Prop
% 82.98/83.17 Found x2 as proof of (P0 b)
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 82.98/83.17 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 82.98/83.17 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x10:=(x1 x00):Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found (x1 x00) as proof of Xp
% 82.98/83.17 Found x00:=(x0 x10):Xq
% 82.98/83.17 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 91.34/91.54 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 91.34/91.54 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found x2:(P Xq)
% 91.34/91.54 Instantiate: b:=Xq:Prop
% 91.34/91.54 Found x2 as proof of (P0 b)
% 91.34/91.54 Found x2:(P Xq)
% 91.34/91.54 Instantiate: b:=Xq:Prop
% 91.34/91.54 Found x2 as proof of (P0 b)
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 91.34/91.54 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found x2:(P0 b)
% 91.34/91.54 Instantiate: b:=Xp:Prop
% 91.34/91.54 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 91.34/91.54 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 91.34/91.54 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 91.34/91.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 91.34/91.54 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 91.34/91.54 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 91.34/91.54 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 91.34/91.54 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 91.34/91.54 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 91.34/91.54 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 91.34/91.54 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 91.34/91.54 Found x2:(P Xq)
% 91.34/91.54 Instantiate: b:=Xq:Prop
% 91.34/91.54 Found x2 as proof of (P0 b)
% 91.34/91.54 Found x2:(P Xq)
% 91.34/91.54 Instantiate: b:=Xq:Prop
% 91.34/91.54 Found x2 as proof of (P0 b)
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found x10:=(x1 x00):Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found (x1 x00) as proof of Xp
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found x00:=(x0 x10):Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 91.34/91.54 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x00:=(x0 x10):Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 97.25/97.46 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 97.25/97.46 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found x2:(P Xq)
% 97.25/97.46 Instantiate: b:=Xq:Prop
% 97.25/97.46 Found x2 as proof of (P0 b)
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x00:=(x0 x10):Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found x2:(P Xq)
% 97.25/97.46 Instantiate: b:=Xq:Prop
% 97.25/97.46 Found x2 as proof of (P0 b)
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x00:=(x0 x10):Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found x20:=(x2 x10):Xp
% 97.25/97.46 Found (x2 x10) as proof of Xp
% 97.25/97.46 Found (x2 x10) as proof of Xp
% 97.25/97.46 Found x10:=(x1 x20):Xq
% 97.25/97.46 Found (x1 x20) as proof of Xq
% 97.25/97.46 Found (x1 x20) as proof of Xq
% 97.25/97.46 Found x10:=(x1 x20):Xq
% 97.25/97.46 Found (x1 x20) as proof of Xq
% 97.25/97.46 Found (x1 x20) as proof of Xq
% 97.25/97.46 Found x20:=(x2 x10):Xp
% 97.25/97.46 Found (x2 x10) as proof of Xp
% 97.25/97.46 Found (x2 x10) as proof of Xp
% 97.25/97.46 Found x00:=(x0 x10):Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 97.25/97.46 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 97.25/97.46 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 97.25/97.46 Found x00:=(x0 x11):Xq
% 97.25/97.46 Found (x0 x11) as proof of Xq
% 97.25/97.46 Found (x0 x11) as proof of Xq
% 97.25/97.46 Found x10:=(x1 x01):Xp
% 97.25/97.46 Found (x1 x01) as proof of Xp
% 97.25/97.46 Found (x1 x01) as proof of Xp
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x2:(P Xq)
% 97.25/97.46 Instantiate: b:=Xq:Prop
% 97.25/97.46 Found x2 as proof of (P0 b)
% 97.25/97.46 Found x2:(P Xq)
% 97.25/97.46 Instantiate: b:=Xq:Prop
% 97.25/97.46 Found x2 as proof of (P0 b)
% 97.25/97.46 Found x00:=(x0 x10):Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found x00:=(x0 x10):Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found (x0 x10) as proof of Xq
% 97.25/97.46 Found x10:=(x1 x00):Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found (x1 x00) as proof of Xp
% 97.25/97.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 97.25/97.46 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 97.25/97.46 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 97.25/97.46 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 97.25/97.46 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 97.25/97.46 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 97.25/97.46 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 105.46/105.74 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 105.46/105.74 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found x00:=(x0 x11):Xq
% 105.46/105.74 Found (x0 x11) as proof of Xq
% 105.46/105.74 Found (x0 x11) as proof of Xq
% 105.46/105.74 Found x10:=(x1 x00):Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found x10:=(x1 x01):Xp
% 105.46/105.74 Found (x1 x01) as proof of Xp
% 105.46/105.74 Found (x1 x01) as proof of Xp
% 105.46/105.74 Found x00:=(x0 x10):Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found x00:=(x0 x10):Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found x10:=(x1 x00):Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found x20:=(x2 x10):Xp
% 105.46/105.74 Found (x2 x10) as proof of Xp
% 105.46/105.74 Found (x2 x10) as proof of Xp
% 105.46/105.74 Found x20:=(x2 x10):Xp
% 105.46/105.74 Found (x2 x10) as proof of Xp
% 105.46/105.74 Found (x2 x10) as proof of Xp
% 105.46/105.74 Found x00:=(x0 x10):Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found x10:=(x1 x00):Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found x2:(P Xp)
% 105.46/105.74 Instantiate: b:=Xp:Prop
% 105.46/105.74 Found x2 as proof of (P0 b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 105.46/105.74 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 105.46/105.74 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 105.46/105.74 Found x0:(P0 b)
% 105.46/105.74 Instantiate: b:=Xp:Prop
% 105.46/105.74 Found (fun (x0:(P0 b))=> x0) as proof of (P0 Xp)
% 105.46/105.74 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 Xp))
% 105.46/105.74 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 105.46/105.74 Found x2:(P Xq)
% 105.46/105.74 Instantiate: b:=Xq:Prop
% 105.46/105.74 Found x2 as proof of (P0 b)
% 105.46/105.74 Found x2:(P Xq)
% 105.46/105.74 Instantiate: b:=Xq:Prop
% 105.46/105.74 Found x2 as proof of (P0 b)
% 105.46/105.74 Found x00:(P Xp)
% 105.46/105.74 Found (fun (x00:(P Xp))=> x00) as proof of (P Xp)
% 105.46/105.74 Found (fun (x00:(P Xp))=> x00) as proof of (P0 Xp)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 105.46/105.74 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 105.46/105.74 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 105.46/105.74 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 105.46/105.74 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 105.46/105.74 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 105.46/105.74 Found x00:=(x0 x10):Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found (x0 x10) as proof of Xq
% 105.46/105.74 Found x10:=(x1 x00):Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found (x1 x00) as proof of Xp
% 105.46/105.74 Found x0:(P Xq)
% 105.46/105.74 Instantiate: b:=Xq:Prop
% 105.46/105.74 Found x0 as proof of (P0 b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 105.46/105.74 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found x00:=(x0 x11):Xq
% 105.46/105.74 Found (x0 x11) as proof of Xq
% 105.46/105.74 Found (x0 x11) as proof of Xq
% 105.46/105.74 Found x10:=(x1 x01):Xp
% 105.46/105.74 Found (x1 x01) as proof of Xp
% 105.46/105.74 Found (x1 x01) as proof of Xp
% 105.46/105.74 Found x0:(P Xq)
% 105.46/105.74 Instantiate: b:=Xq:Prop
% 105.46/105.74 Found x0 as proof of (P0 b)
% 105.46/105.74 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 105.46/105.74 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 105.46/105.74 Found x0:(P Xp)
% 105.46/105.74 Instantiate: a:=Xp:Prop
% 105.46/105.74 Found x0 as proof of (P0 a)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 112.17/112.44 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.17/112.44 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 112.17/112.44 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 112.17/112.44 Found x00:=(x0 x10):Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x00):Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found x10:=(x1 x00):Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x10):Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x00):Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x10):Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 112.17/112.44 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 112.17/112.44 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 112.17/112.44 Found x00:=(x0 x10):Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found (x0 x10) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x00):Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found x10:=(x1 x01):Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x11):Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found x00:=(x0 x11):Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x01):Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x11):Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x01):Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found x10:=(x1 x00):Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found x10:=(x1 x01):Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x11):Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x00):Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found (x1 x00) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x11):Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found x10:=(x1 x01):Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found x10:=(x1 x01):Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found (x1 x01) as proof of Xp
% 112.17/112.44 Found x00:=(x0 x11):Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found (x0 x11) as proof of Xq
% 112.17/112.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.17/112.44 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 112.17/112.44 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 112.17/112.44 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 112.17/112.44 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 112.17/112.44 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.17/112.44 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 112.17/112.44 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 112.17/112.44 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 112.17/112.44 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 112.17/112.44 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.03/123.28 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 123.03/123.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.03/123.28 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 123.03/123.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 123.03/123.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x00:=(x0 x11):Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x01):Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 123.03/123.28 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 123.03/123.28 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 123.03/123.28 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 123.03/123.28 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 123.03/123.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 123.03/123.28 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 123.03/123.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x11):Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x21):Xq
% 123.03/123.28 Found (x1 x21) as proof of Xq
% 123.03/123.28 Found (x1 x21) as proof of Xq
% 123.03/123.28 Found x20:=(x2 x11):Xp
% 123.03/123.28 Found (x2 x11) as proof of Xp
% 123.03/123.28 Found (x2 x11) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found (x1 x00) as proof of Xp
% 123.03/123.28 Found x10:=(x1 x01):Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found x10:=(x1 x01):Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x11):Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found x00:=(x0 x11):Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x01):Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x11):Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x01):Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found x10:=(x1 x01):Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found (x1 x01) as proof of Xp
% 123.03/123.28 Found x00:=(x0 x10):Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found (x0 x10) as proof of Xq
% 123.03/123.28 Found x00:=(x0 x11):Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found (x0 x11) as proof of Xq
% 123.03/123.28 Found x10:=(x1 x00):Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found x20:(P b)
% 131.24/131.50 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 131.24/131.50 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 131.24/131.50 Found x20:(P b)
% 131.24/131.50 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 131.24/131.50 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 131.24/131.50 Found x10:=(x1 x00):Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found x00:=(x0 x10):Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found x10:=(x1 x01):Xp
% 131.24/131.50 Found (x1 x01) as proof of Xp
% 131.24/131.50 Found (x1 x01) as proof of Xp
% 131.24/131.50 Found x10:=(x1 x01):Xp
% 131.24/131.50 Found (x1 x01) as proof of Xp
% 131.24/131.50 Found (x1 x01) as proof of Xp
% 131.24/131.50 Found x00:=(x0 x11):Xq
% 131.24/131.50 Found (x0 x11) as proof of Xq
% 131.24/131.50 Found (x0 x11) as proof of Xq
% 131.24/131.50 Found x00:=(x0 x11):Xq
% 131.24/131.50 Found (x0 x11) as proof of Xq
% 131.24/131.50 Found (x0 x11) as proof of Xq
% 131.24/131.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 131.24/131.50 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 131.24/131.50 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 131.24/131.50 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 131.24/131.50 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 131.24/131.50 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 131.24/131.50 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found x00:=(x0 x10):Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found x10:=(x1 x00):Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found x00:=(x0 x10):Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found x10:=(x1 x00):Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found x10:=(x1 x01):Xp
% 131.24/131.50 Found (x1 x01) as proof of Xp
% 131.24/131.50 Found (x1 x01) as proof of Xp
% 131.24/131.50 Found x00:=(x0 x11):Xq
% 131.24/131.50 Found (x0 x11) as proof of Xq
% 131.24/131.50 Found (x0 x11) as proof of Xq
% 131.24/131.50 Found x10:=(x1 x00):Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found x00:=(x0 x10):Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found x10:=(x1 x00):Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found (x1 x00) as proof of Xp
% 131.24/131.50 Found x00:=(x0 x10):Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found (x0 x10) as proof of Xq
% 131.24/131.50 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 131.24/131.50 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found x2:(P0 b)
% 131.24/131.50 Instantiate: b:=Xp:Prop
% 131.24/131.50 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 131.24/131.50 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 131.24/131.50 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 131.24/131.50 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 131.24/131.50 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 131.24/131.50 Found x2:(P0 b)
% 131.24/131.50 Instantiate: b:=Xp:Prop
% 131.24/131.50 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 131.24/131.50 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 131.24/131.50 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 131.24/131.50 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 131.24/131.50 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 131.24/131.50 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 131.24/131.50 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 133.58/133.82 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 133.58/133.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 133.58/133.82 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 133.58/133.82 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 133.58/133.82 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 133.58/133.82 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 133.58/133.82 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 133.58/133.82 Found x10:=(x1 x00):Xp
% 133.58/133.82 Found (x1 x00) as proof of Xp
% 133.58/133.82 Found (x1 x00) as proof of Xp
% 133.58/133.82 Found x00:=(x0 x10):Xq
% 133.58/133.82 Found (x0 x10) as proof of Xq
% 133.58/133.82 Found (x0 x10) as proof of Xq
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 133.58/133.82 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 133.58/133.82 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 133.58/133.82 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 133.58/133.82 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 133.58/133.82 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 133.58/133.82 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 133.58/133.82 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 133.58/133.82 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 133.58/133.82 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 133.58/133.82 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 133.58/133.82 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 133.58/133.82 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 133.58/133.82 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 133.58/133.82 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found x20:(P b)
% 138.70/138.94 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 138.70/138.94 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 138.70/138.94 Found x20:(P b)
% 138.70/138.94 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 138.70/138.94 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 138.70/138.94 Found x10:=(x1 x00):Xp
% 138.70/138.94 Found (x1 x00) as proof of Xp
% 138.70/138.94 Found (x1 x00) as proof of Xp
% 138.70/138.94 Found x00:=(x0 x10):Xq
% 138.70/138.94 Found (x0 x10) as proof of Xq
% 138.70/138.94 Found (x0 x10) as proof of Xq
% 138.70/138.94 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 138.70/138.94 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.70/138.94 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 138.70/138.94 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.70/138.94 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.70/138.94 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 138.70/138.94 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.70/138.94 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 138.70/138.94 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found x00:=(x0 x11):Xq
% 138.70/138.94 Found (x0 x11) as proof of Xq
% 138.70/138.94 Found (x0 x11) as proof of Xq
% 138.70/138.94 Found x10:=(x1 x01):Xp
% 138.70/138.94 Found (x1 x01) as proof of Xp
% 138.70/138.94 Found (x1 x01) as proof of Xp
% 138.70/138.94 Found x00:=(x0 x11):Xq
% 138.70/138.94 Found (x0 x11) as proof of Xq
% 138.70/138.94 Found (x0 x11) as proof of Xq
% 138.70/138.94 Found x10:=(x1 x01):Xp
% 138.70/138.94 Found (x1 x01) as proof of Xp
% 138.70/138.94 Found (x1 x01) as proof of Xp
% 138.70/138.94 Found x10:=(x1 x01):Xp
% 138.70/138.94 Found (x1 x01) as proof of Xp
% 138.70/138.94 Found (x1 x01) as proof of Xp
% 138.70/138.94 Found x00:=(x0 x11):Xq
% 138.70/138.94 Found (x0 x11) as proof of Xq
% 138.70/138.94 Found (x0 x11) as proof of Xq
% 138.70/138.94 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 138.70/138.94 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 138.70/138.94 Found x00:(P b)
% 138.70/138.94 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 138.70/138.94 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 138.70/138.94 Found x00:(P b)
% 138.70/138.94 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 138.70/138.94 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 138.70/138.94 Found x10:=(x1 x00):Xp
% 138.70/138.94 Found (x1 x00) as proof of Xp
% 138.70/138.94 Found (x1 x00) as proof of Xp
% 138.70/138.94 Found x00:=(x0 x10):Xq
% 138.70/138.94 Found (x0 x10) as proof of Xq
% 138.70/138.94 Found (x0 x10) as proof of Xq
% 138.70/138.94 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 138.70/138.94 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 138.70/138.94 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 144.93/145.19 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 144.93/145.19 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 144.93/145.19 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found x00:=(x0 x11):Xq
% 144.93/145.19 Found (x0 x11) as proof of Xq
% 144.93/145.19 Found (x0 x11) as proof of Xq
% 144.93/145.19 Found x10:=(x1 x00):Xp
% 144.93/145.19 Found (x1 x00) as proof of Xp
% 144.93/145.19 Found (x1 x00) as proof of Xp
% 144.93/145.19 Found x10:=(x1 x01):Xp
% 144.93/145.19 Found (x1 x01) as proof of Xp
% 144.93/145.19 Found (x1 x01) as proof of Xp
% 144.93/145.19 Found x00:=(x0 x10):Xq
% 144.93/145.19 Found (x0 x10) as proof of Xq
% 144.93/145.19 Found (x0 x10) as proof of Xq
% 144.93/145.19 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 144.93/145.19 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found x0:(P2 b)
% 144.93/145.19 Instantiate: b:=Xp:Prop
% 144.93/145.19 Found (fun (x0:(P2 b))=> x0) as proof of (P2 Xp)
% 144.93/145.19 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 Xp))
% 144.93/145.19 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 144.93/145.19 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found x0:(P2 b)
% 144.93/145.19 Instantiate: b:=Xp:Prop
% 144.93/145.19 Found (fun (x0:(P2 b))=> x0) as proof of (P2 Xp)
% 144.93/145.19 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 Xp))
% 144.93/145.19 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 144.93/145.19 Found x00:=(x0 x10):Xq
% 144.93/145.19 Found (x0 x10) as proof of Xq
% 144.93/145.19 Found (x0 x10) as proof of Xq
% 144.93/145.19 Found x10:=(x1 x00):Xp
% 144.93/145.19 Found (x1 x00) as proof of Xp
% 144.93/145.19 Found (x1 x00) as proof of Xp
% 144.93/145.19 Found x00:=(x0 x10):Xq
% 144.93/145.19 Found (x0 x10) as proof of Xq
% 144.93/145.19 Found (x0 x10) as proof of Xq
% 144.93/145.19 Found x10:=(x1 x00):Xp
% 144.93/145.19 Found (x1 x00) as proof of Xp
% 144.93/145.19 Found (x1 x00) as proof of Xp
% 144.93/145.19 Found x10:=(x1 x01):Xp
% 144.93/145.19 Found (x1 x01) as proof of Xp
% 144.93/145.19 Found (x1 x01) as proof of Xp
% 144.93/145.19 Found x00:=(x0 x11):Xq
% 144.93/145.19 Found (x0 x11) as proof of Xq
% 144.93/145.19 Found (x0 x11) as proof of Xq
% 144.93/145.19 Found x00:=(x0 x11):Xq
% 144.93/145.19 Found (x0 x11) as proof of Xq
% 144.93/145.19 Found (x0 x11) as proof of Xq
% 144.93/145.19 Found x10:=(x1 x01):Xp
% 144.93/145.19 Found (x1 x01) as proof of Xp
% 144.93/145.19 Found (x1 x01) as proof of Xp
% 144.93/145.19 Found x20:(P b)
% 144.93/145.19 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 144.93/145.19 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 144.93/145.19 Found x20:(P b)
% 144.93/145.19 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 144.93/145.19 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 144.93/145.19 Found x2:(P Xp)
% 144.93/145.19 Instantiate: a:=Xp:Prop
% 144.93/145.19 Found x2 as proof of (P0 a)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 144.93/145.19 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 144.93/145.19 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 144.93/145.19 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 144.93/145.19 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 144.93/145.19 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 144.93/145.19 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 147.52/147.79 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 147.52/147.79 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 147.52/147.79 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 147.52/147.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 147.52/147.79 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 147.52/147.79 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 147.52/147.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found x0:(P1 Xq)
% 147.52/147.79 Instantiate: b:=Xq:Prop
% 147.52/147.79 Found x0 as proof of (P2 b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 147.52/147.79 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found x0:(P1 Xq)
% 147.52/147.79 Instantiate: b:=Xq:Prop
% 147.52/147.79 Found x0 as proof of (P2 b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 147.52/147.79 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found x20:(P Xp)
% 147.52/147.79 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 147.52/147.79 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 147.52/147.79 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 147.52/147.79 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 147.52/147.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found x2:(P0 b)
% 147.52/147.79 Instantiate: b:=Xp:Prop
% 147.52/147.79 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 147.52/147.79 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 147.52/147.79 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 147.52/147.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 147.52/147.79 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 147.52/147.79 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 153.21/153.49 Found x00:=(x0 x11):Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x01):Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found x00:=(x0 x11):Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x01):Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found x0:(P b)
% 153.21/153.49 Instantiate: b0:=b:Prop
% 153.21/153.49 Found x0 as proof of (P0 b0)
% 153.21/153.49 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 153.21/153.49 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 153.21/153.49 Found x00:=(x0 x10):Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x00):Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 153.21/153.49 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 153.21/153.49 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 153.21/153.49 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 153.21/153.49 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 153.21/153.49 Found (eq_ref0 b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xq)
% 153.21/153.49 Found x10:=(x1 x01):Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found x10:=(x1 x01):Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found x00:=(x0 x11):Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found x00:=(x0 x11):Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x00):Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found x00:=(x0 x11):Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x01):Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 153.21/153.49 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 153.21/153.49 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 153.21/153.49 Found x2:(P0 b)
% 153.21/153.49 Instantiate: b:=Xp:Prop
% 153.21/153.49 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 153.21/153.49 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 153.21/153.49 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 153.21/153.49 Found x10:=(x1 x00):Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found x00:=(x0 x10):Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x01):Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found (x1 x01) as proof of Xp
% 153.21/153.49 Found x00:=(x0 x11):Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found (x0 x11) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x00):Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found x00:=(x0 x10):Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found x00:=(x0 x10):Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found (x0 x10) as proof of Xq
% 153.21/153.49 Found x10:=(x1 x00):Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found (x1 x00) as proof of Xp
% 153.21/153.49 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 153.21/153.49 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 153.21/153.49 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 153.21/153.49 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 153.21/153.49 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 158.12/158.38 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 158.12/158.38 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 158.12/158.38 Found x10:=(x1 x00):Xp
% 158.12/158.38 Found (x1 x00) as proof of Xp
% 158.12/158.38 Found (x1 x00) as proof of Xp
% 158.12/158.38 Found x00:=(x0 x10):Xq
% 158.12/158.38 Found (x0 x10) as proof of Xq
% 158.12/158.38 Found (x0 x10) as proof of Xq
% 158.12/158.38 Found x2:(P Xq)
% 158.12/158.38 Instantiate: b:=Xq:Prop
% 158.12/158.38 Found x2 as proof of (P0 b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 158.12/158.38 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found x2:(P Xq)
% 158.12/158.38 Instantiate: b:=Xq:Prop
% 158.12/158.38 Found x2 as proof of (P0 b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 158.12/158.38 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 158.12/158.38 Found x20:(P b)
% 158.12/158.38 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 158.12/158.38 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 158.12/158.38 Found x00:=(x0 x10):Xq
% 158.12/158.38 Found (x0 x10) as proof of Xq
% 158.12/158.38 Found (x0 x10) as proof of Xq
% 158.12/158.38 Found x20:(P b)
% 158.12/158.38 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 158.12/158.38 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 158.12/158.38 Found x10:=(x1 x00):Xp
% 158.12/158.38 Found (x1 x00) as proof of Xp
% 158.12/158.38 Found (x1 x00) as proof of Xp
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 158.12/158.38 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 158.12/158.38 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 158.12/158.38 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 158.12/158.38 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 158.12/158.38 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 158.12/158.38 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 158.12/158.38 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 158.12/158.38 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 158.12/158.38 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 158.12/158.38 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 158.12/158.38 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 158.12/158.38 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.22/165.51 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found x20:(P Xq)
% 165.22/165.51 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 165.22/165.51 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 165.22/165.51 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.22/165.51 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found x20:(P Xq)
% 165.22/165.51 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 165.22/165.51 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.22/165.51 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 165.22/165.51 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x00:=(x0 x10):Xq
% 165.22/165.51 Found (x0 x10) as proof of Xq
% 165.22/165.51 Found (x0 x10) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x00):Xp
% 165.22/165.51 Found (x1 x00) as proof of Xp
% 165.22/165.51 Found (x1 x00) as proof of Xp
% 165.22/165.51 Found x00:(P Xq)
% 165.22/165.51 Found (fun (x00:(P Xq))=> x00) as proof of (P Xq)
% 165.22/165.51 Found (fun (x00:(P Xq))=> x00) as proof of (P0 Xq)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.22/165.51 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 165.22/165.51 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x10:=(x1 x01):Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found (x1 x01) as proof of Xp
% 165.22/165.51 Found x00:=(x0 x11):Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found (x0 x11) as proof of Xq
% 165.22/165.51 Found x0:(P Xq)
% 165.22/165.51 Instantiate: a:=Xq:Prop
% 165.22/165.51 Found x0 as proof of (P0 a)
% 165.22/165.51 Found x00:(P Xq)
% 165.22/165.51 Found (fun (x00:(P Xq))=> x00) as proof of (P Xq)
% 165.22/165.51 Found (fun (x00:(P Xq))=> x00) as proof of (P0 Xq)
% 165.22/165.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.22/165.51 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 171.66/171.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 171.66/171.93 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.66/171.93 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.66/171.93 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 171.66/171.93 Found x10:=(x1 x00):Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found x00:=(x0 x10):Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 171.66/171.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found x00:=(x0 x10):Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found x10:=(x1 x00):Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 171.66/171.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found x00:=(x0 x10):Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found x10:=(x1 x00):Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 171.66/171.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found x2:(P0 b)
% 171.66/171.93 Instantiate: b:=Xp:Prop
% 171.66/171.93 Found (fun (x2:(P0 b))=> x2) as proof of (P0 Xp)
% 171.66/171.93 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 Xp))
% 171.66/171.93 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 171.66/171.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found x00:=(x0 x10):Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found x10:=(x1 x00):Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found x10:=(x1 x00):Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found (x1 x00) as proof of Xp
% 171.66/171.93 Found x00:=(x0 x10):Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found (x0 x10) as proof of Xq
% 171.66/171.93 Found x00:=(x0 x11):Xq
% 171.66/171.93 Found (x0 x11) as proof of Xq
% 171.66/171.93 Found (x0 x11) as proof of Xq
% 171.66/171.93 Found x10:=(x1 x01):Xp
% 171.66/171.93 Found (x1 x01) as proof of Xp
% 171.66/171.93 Found (x1 x01) as proof of Xp
% 171.66/171.93 Found x20:(P Xq)
% 171.66/171.93 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 171.66/171.93 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 171.66/171.93 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 171.66/171.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 171.66/171.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 171.66/171.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 175.44/175.71 Found x20:(P Xq)
% 175.44/175.71 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 175.44/175.71 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 175.44/175.71 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 175.44/175.71 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 175.44/175.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 175.44/175.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 175.44/175.71 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 175.44/175.71 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 175.44/175.71 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x00):Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x10):Xq
% 175.44/175.71 Found (x0 x10) as proof of Xq
% 175.44/175.71 Found (x0 x10) as proof of Xq
% 175.44/175.71 Found x20:=(x2 x10):Xp
% 175.44/175.71 Found (x2 x10) as proof of Xp
% 175.44/175.71 Found (x2 x10) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x20):Xq
% 175.44/175.71 Found (x1 x20) as proof of Xq
% 175.44/175.71 Found (x1 x20) as proof of Xq
% 175.44/175.71 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 175.44/175.71 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 175.44/175.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 175.44/175.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 175.44/175.71 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 175.44/175.71 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 175.44/175.71 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 175.44/175.71 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x00):Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x10):Xq
% 175.44/175.71 Found (x0 x10) as proof of Xq
% 175.44/175.71 Found (x0 x10) as proof of Xq
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x21):Xq
% 175.44/175.71 Found (x1 x21) as proof of Xq
% 175.44/175.71 Found (x1 x21) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x00):Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x00:=(x0 x11):Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found (x0 x11) as proof of Xq
% 175.44/175.71 Found x10:=(x1 x01):Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found (x1 x01) as proof of Xp
% 175.44/175.71 Found x00:=(x0 x10):Xq
% 175.44/175.71 Found (x0 x10) as proof of Xq
% 175.44/175.71 Found (x0 x10) as proof of Xq
% 175.44/175.71 Found x20:=(x2 x11):Xp
% 175.44/175.71 Found (x2 x11) as proof of Xp
% 175.44/175.71 Found (x2 x11) as proof of Xp
% 175.44/175.71 Found x10:=(x1 x00):Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found (x1 x00) as proof of Xp
% 175.44/175.71 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 175.44/175.71 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 179.09/179.40 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 179.09/179.40 Found x10:(P1 Xq)
% 179.09/179.40 Found (fun (x10:(P1 Xq))=> x10) as proof of (P1 Xq)
% 179.09/179.40 Found (fun (x10:(P1 Xq))=> x10) as proof of (P2 Xq)
% 179.09/179.40 Found x2:(P Xq)
% 179.09/179.40 Instantiate: b:=Xq:Prop
% 179.09/179.40 Found x2 as proof of (P0 b)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 179.09/179.40 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found x20:(P Xp)
% 179.09/179.40 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 179.09/179.40 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 179.09/179.40 Found x20:(P Xp)
% 179.09/179.40 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 179.09/179.40 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 179.09/179.40 Found x00:=(x0 x10):Xq
% 179.09/179.40 Found (x0 x10) as proof of Xq
% 179.09/179.40 Found (x0 x10) as proof of Xq
% 179.09/179.40 Found x10:=(x1 x00):Xp
% 179.09/179.40 Found (x1 x00) as proof of Xp
% 179.09/179.40 Found (x1 x00) as proof of Xp
% 179.09/179.40 Found x2:(P Xq)
% 179.09/179.40 Instantiate: b:=Xq:Prop
% 179.09/179.40 Found x2 as proof of (P0 b)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 179.09/179.40 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 179.09/179.40 Found x10:=(x1 x00):Xp
% 179.09/179.40 Found (x1 x00) as proof of Xp
% 179.09/179.40 Found (x1 x00) as proof of Xp
% 179.09/179.40 Found x20:(P Xq)
% 179.09/179.40 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 179.09/179.40 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 179.09/179.40 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 179.09/179.40 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found x00:=(x0 x10):Xq
% 179.09/179.40 Found (x0 x10) as proof of Xq
% 179.09/179.40 Found (x0 x10) as proof of Xq
% 179.09/179.40 Found x20:(P Xq)
% 179.09/179.40 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 179.09/179.40 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 179.09/179.40 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 179.09/179.40 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 179.09/179.40 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 179.09/179.40 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 179.09/179.40 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 179.09/179.40 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 179.09/179.40 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 179.09/179.40 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found x10:=(x1 x00):Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x10):Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 186.88/187.15 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 186.88/187.15 Found x10:=(x1 x00):Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x10):Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found x00:=(x0 x10):Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x00):Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 186.88/187.15 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 186.88/187.15 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found x10:=(x1 x00):Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x10):Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x00):Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 186.88/187.15 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 186.88/187.15 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 186.88/187.15 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 186.88/187.15 Found x00:=(x0 x11):Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x11):Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x10):Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found (x0 x10) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x00):Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found (x1 x00) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x11):Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x11):Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found x20:=(x2 x10):Xp
% 186.88/187.15 Found (x2 x10) as proof of Xp
% 186.88/187.15 Found (x2 x10) as proof of Xp
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 186.88/187.15 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 186.88/187.15 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 186.88/187.15 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 186.88/187.15 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 186.88/187.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found x00:=(x0 x11):Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found (x0 x11) as proof of Xq
% 186.88/187.15 Found x10:=(x1 x01):Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 186.88/187.15 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found x00:=(x0 x11):Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found x00:=(x0 x11):Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found x10:=(x1 x01):Xp
% 191.97/192.28 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found x00:=(x0 x11):Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.97/192.28 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 191.97/192.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 191.97/192.28 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 191.97/192.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found x00:=(x0 x11):Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found x10:=(x1 x01):Xp
% 191.97/192.28 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found x10:=(x1 x01):Xp
% 191.97/192.28 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found (x1 x01) as proof of Xp
% 191.97/192.28 Found x00:=(x0 x11):Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found (x0 x11) as proof of Xq
% 191.97/192.28 Found x20:(P Xp)
% 191.97/192.28 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 191.97/192.28 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 191.97/192.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 191.97/192.28 Found x20:(P Xp)
% 191.97/192.28 Found (fun (x20:(P Xp))=> x20) as proof of (P Xp)
% 191.97/192.28 Found (fun (x20:(P Xp))=> x20) as proof of (P0 Xp)
% 191.97/192.28 Found x00:=(x0 x10):Xq
% 191.97/192.28 Found (x0 x10) as proof of Xq
% 191.97/192.28 Found (x0 x10) as proof of Xq
% 191.97/192.28 Found x10:=(x1 x00):Xp
% 191.97/192.28 Found (x1 x00) as proof of Xp
% 191.97/192.28 Found (x1 x00) as proof of Xp
% 191.97/192.28 Found x20:(P Xq)
% 191.97/192.28 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 191.97/192.28 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 191.97/192.28 Found x20:(P Xq)
% 191.97/192.28 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 191.97/192.28 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 191.97/192.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 191.97/192.28 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found x00:=(x0 x10):Xq
% 191.97/192.28 Found (x0 x10) as proof of Xq
% 191.97/192.28 Found (x0 x10) as proof of Xq
% 191.97/192.28 Found x00:=(x0 x10):Xq
% 191.97/192.28 Found (x0 x10) as proof of Xq
% 191.97/192.28 Found (x0 x10) as proof of Xq
% 191.97/192.28 Found x10:=(x1 x00):Xp
% 191.97/192.28 Found (x1 x00) as proof of Xp
% 191.97/192.28 Found (x1 x00) as proof of Xp
% 191.97/192.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 191.97/192.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 191.97/192.28 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 191.97/192.28 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 191.97/192.28 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 191.97/192.28 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 195.63/195.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 195.63/195.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 195.63/195.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 195.63/195.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x20:(P Xq)
% 195.63/195.92 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 195.63/195.92 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 195.63/195.92 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 195.63/195.92 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found x20:(P Xq)
% 195.63/195.92 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 195.63/195.92 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 195.63/195.92 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 195.63/195.92 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 195.63/195.92 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 195.63/195.92 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 195.63/195.92 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 195.63/195.92 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 195.63/195.92 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 195.63/195.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 195.63/195.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 195.63/195.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 195.63/195.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 195.63/195.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 195.63/195.92 Found x00:(P1 b)
% 195.63/195.92 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 195.63/195.92 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 195.63/195.92 Found x00:(P1 b)
% 195.63/195.92 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 195.63/195.92 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x00:=(x0 x10):Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found x00:=(x0 x10):Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x00:=(x0 x10):Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found x00:=(x0 x10):Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x10:=(x1 x00):Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found (x1 x00) as proof of Xp
% 195.63/195.92 Found x00:=(x0 x10):Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found x00:=(x0 x10):Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found (x0 x10) as proof of Xq
% 195.63/195.92 Found x10:=(x1 x01):Xp
% 195.63/195.92 Found (x1 x01) as proof of Xp
% 195.63/195.92 Found (x1 x01) as proof of Xp
% 195.63/195.92 Found x00:=(x0 x11):Xq
% 195.63/195.92 Found (x0 x11) as proof of Xq
% 195.63/195.92 Found (x0 x11) as proof of Xq
% 195.63/195.92 Found x00:=(x0 x11):Xq
% 195.63/195.92 Found (x0 x11) as proof of Xq
% 195.63/195.92 Found (x0 x11) as proof of Xq
% 195.63/195.92 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x20:=(x2 x11):Xp
% 200.38/200.66 Found (x2 x11) as proof of Xp
% 200.38/200.66 Found (x2 x11) as proof of Xp
% 200.38/200.66 Found x10:=(x1 x21):Xq
% 200.38/200.66 Found (x1 x21) as proof of Xq
% 200.38/200.66 Found (x1 x21) as proof of Xq
% 200.38/200.66 Found x10:=(x1 x00):Xp
% 200.38/200.66 Found (x1 x00) as proof of Xp
% 200.38/200.66 Found (x1 x00) as proof of Xp
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x00:=(x0 x10):Xq
% 200.38/200.66 Found (x0 x10) as proof of Xq
% 200.38/200.66 Found (x0 x10) as proof of Xq
% 200.38/200.66 Found x10:=(x1 x21):Xq
% 200.38/200.66 Found (x1 x21) as proof of Xq
% 200.38/200.66 Found (x1 x21) as proof of Xq
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x20:=(x2 x11):Xp
% 200.38/200.66 Found (x2 x11) as proof of Xp
% 200.38/200.66 Found (x2 x11) as proof of Xp
% 200.38/200.66 Found x00:=(x0 x11):Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found (x0 x11) as proof of Xq
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x10:=(x1 x01):Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found (x1 x01) as proof of Xp
% 200.38/200.66 Found x00:=(x0 x10):Xq
% 200.38/200.66 Found (x0 x10) as proof of Xq
% 200.38/200.66 Found (x0 x10) as proof of Xq
% 200.38/200.66 Found x10:=(x1 x00):Xp
% 200.38/200.66 Found (x1 x00) as proof of Xp
% 200.38/200.66 Found (x1 x00) as proof of Xp
% 200.38/200.66 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 200.38/200.66 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 200.38/200.66 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 200.38/200.66 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 200.38/200.66 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 200.38/200.66 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 200.38/200.66 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 200.38/200.66 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 200.38/200.66 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 200.38/200.66 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 200.38/200.66 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 200.38/200.66 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 203.37/203.70 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 203.37/203.70 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found x00:=(x0 x10):Xq
% 203.37/203.70 Found (x0 x10) as proof of Xq
% 203.37/203.70 Found (x0 x10) as proof of Xq
% 203.37/203.70 Found x10:=(x1 x00):Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 203.37/203.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 203.37/203.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 203.37/203.70 Found x10:=(x1 x00):Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found x10:=(x1 x00):Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found x00:=(x0 x10):Xq
% 203.37/203.70 Found (x0 x10) as proof of Xq
% 203.37/203.70 Found (x0 x10) as proof of Xq
% 203.37/203.70 Found x00:=(x0 x10):Xq
% 203.37/203.70 Found (x0 x10) as proof of Xq
% 203.37/203.70 Found (x0 x10) as proof of Xq
% 203.37/203.70 Found x10:=(x1 x00):Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found (x1 x00) as proof of Xp
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found x2:(P2 b)
% 203.37/203.70 Instantiate: b:=Xp:Prop
% 203.37/203.70 Found (fun (x2:(P2 b))=> x2) as proof of (P2 Xp)
% 203.37/203.70 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 Xp))
% 203.37/203.70 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 203.37/203.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 203.37/203.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 203.37/203.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 211.04/211.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 211.04/211.38 Found x2:(P2 b)
% 211.04/211.38 Instantiate: b:=Xp:Prop
% 211.04/211.38 Found (fun (x2:(P2 b))=> x2) as proof of (P2 Xp)
% 211.04/211.38 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 Xp))
% 211.04/211.38 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 211.04/211.38 Found x10:=(x1 x01):Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found x20:(P Xq)
% 211.04/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 211.04/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 211.04/211.38 Found x10:=(x1 x00):Xp
% 211.04/211.38 Found (x1 x00) as proof of Xp
% 211.04/211.38 Found (x1 x00) as proof of Xp
% 211.04/211.38 Found x00:=(x0 x10):Xq
% 211.04/211.38 Found (x0 x10) as proof of Xq
% 211.04/211.38 Found (x0 x10) as proof of Xq
% 211.04/211.38 Found x10:=(x1 x01):Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found x10:=(x1 x00):Xp
% 211.04/211.38 Found (x1 x00) as proof of Xp
% 211.04/211.38 Found (x1 x00) as proof of Xp
% 211.04/211.38 Found x20:(P Xq)
% 211.04/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 211.04/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 211.04/211.38 Found x00:=(x0 x10):Xq
% 211.04/211.38 Found (x0 x10) as proof of Xq
% 211.04/211.38 Found (x0 x10) as proof of Xq
% 211.04/211.38 Found x20:=(x2 x10):Xp
% 211.04/211.38 Found (x2 x10) as proof of Xp
% 211.04/211.38 Found (x2 x10) as proof of Xp
% 211.04/211.38 Found x10:=(x1 x20):Xq
% 211.04/211.38 Found (x1 x20) as proof of Xq
% 211.04/211.38 Found (x1 x20) as proof of Xq
% 211.04/211.38 Found x20:(P b)
% 211.04/211.38 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 211.04/211.38 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 211.04/211.38 Found x10:=(x1 x00):Xp
% 211.04/211.38 Found (x1 x00) as proof of Xp
% 211.04/211.38 Found (x1 x00) as proof of Xp
% 211.04/211.38 Found x20:(P b)
% 211.04/211.38 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 211.04/211.38 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 211.04/211.38 Found x10:=(x1 x01):Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found x10:=(x1 x01):Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found x10:=(x1 x01):Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found (x1 x01) as proof of Xp
% 211.04/211.38 Found x00:=(x0 x11):Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.04/211.38 Found x00:=(x0 x11):Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.04/211.38 Found x00:=(x0 x11):Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.04/211.38 Found x00:=(x0 x11):Xq
% 211.04/211.38 Found (x0 x11) as proof of Xq
% 211.09/211.38 Found (x0 x11) as proof of Xq
% 211.09/211.38 Found x10:=(x1 x01):Xp
% 211.09/211.38 Found (x1 x01) as proof of Xp
% 211.09/211.38 Found (x1 x01) as proof of Xp
% 211.09/211.38 Found x10:=(x1 x01):Xp
% 211.09/211.38 Found (x1 x01) as proof of Xp
% 211.09/211.38 Found (x1 x01) as proof of Xp
% 211.09/211.38 Found x10:=(x1 x01):Xp
% 211.09/211.38 Found (x1 x01) as proof of Xp
% 211.09/211.38 Found (x1 x01) as proof of Xp
% 211.09/211.38 Found x00:=(x0 x10):Xq
% 211.09/211.38 Found (x0 x10) as proof of Xq
% 211.09/211.38 Found (x0 x10) as proof of Xq
% 211.09/211.38 Found x10:=(x1 x00):Xp
% 211.09/211.38 Found (x1 x00) as proof of Xp
% 211.09/211.38 Found (x1 x00) as proof of Xp
% 211.09/211.38 Found x10:=(x1 x00):Xp
% 211.09/211.38 Found (x1 x00) as proof of Xp
% 211.09/211.38 Found (x1 x00) as proof of Xp
% 211.09/211.38 Found x00:=(x0 x10):Xq
% 211.09/211.38 Found (x0 x10) as proof of Xq
% 211.09/211.38 Found (x0 x10) as proof of Xq
% 211.09/211.38 Found x20:=(x2 x11):Xp
% 211.09/211.38 Found (x2 x11) as proof of Xp
% 211.09/211.38 Found (x2 x11) as proof of Xp
% 211.09/211.38 Found x20:=(x2 x11):Xp
% 211.09/211.38 Found (x2 x11) as proof of Xp
% 211.09/211.38 Found (x2 x11) as proof of Xp
% 211.09/211.38 Found x00:(P Xq)
% 211.09/211.38 Found (fun (x00:(P Xq))=> x00) as proof of (P Xq)
% 211.09/211.38 Found (fun (x00:(P Xq))=> x00) as proof of (P0 Xq)
% 211.09/211.38 Found x00:(P b)
% 211.09/211.38 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 211.09/211.38 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 211.09/211.38 Found x00:(P Xq)
% 211.09/211.38 Found (fun (x00:(P Xq))=> x00) as proof of (P Xq)
% 211.09/211.38 Found (fun (x00:(P Xq))=> x00) as proof of (P0 Xq)
% 211.09/211.38 Found x10:=(x1 x00):Xp
% 211.09/211.38 Found (x1 x00) as proof of Xp
% 211.09/211.38 Found (x1 x00) as proof of Xp
% 211.09/211.38 Found x00:=(x0 x10):Xq
% 211.09/211.38 Found (x0 x10) as proof of Xq
% 211.09/211.38 Found (x0 x10) as proof of Xq
% 211.09/211.38 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 211.09/211.38 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 211.09/211.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 211.09/211.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 211.09/211.38 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 211.09/211.38 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 211.09/211.38 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 211.09/211.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 211.09/211.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 211.09/211.38 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 211.09/211.38 Found x20:(P Xq)
% 211.09/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 211.09/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 211.09/211.38 Found x20:(P Xq)
% 211.09/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 211.09/211.38 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 216.71/217.07 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found x0:(P0 b0)
% 216.71/217.07 Instantiate: b0:=Xp:Prop
% 216.71/217.07 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 216.71/217.07 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 216.71/217.07 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 216.71/217.07 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found x2:(P1 Xq)
% 216.71/217.07 Instantiate: b:=Xq:Prop
% 216.71/217.07 Found x2 as proof of (P2 b)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 216.71/217.07 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found x2:(P1 Xq)
% 216.71/217.07 Instantiate: b:=Xq:Prop
% 216.71/217.07 Found x2 as proof of (P2 b)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 216.71/217.07 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 216.71/217.07 Found x10:=(x1 x00):Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found x00:=(x0 x10):Xq
% 216.71/217.07 Found (x0 x10) as proof of Xq
% 216.71/217.07 Found (x0 x10) as proof of Xq
% 216.71/217.07 Found x20:=(x2 x10):Xp
% 216.71/217.07 Found (x2 x10) as proof of Xp
% 216.71/217.07 Found (x2 x10) as proof of Xp
% 216.71/217.07 Found x10:=(x1 x20):Xq
% 216.71/217.07 Found (x1 x20) as proof of Xq
% 216.71/217.07 Found (x1 x20) as proof of Xq
% 216.71/217.07 Found x20:=(x2 x10):Xp
% 216.71/217.07 Found (x2 x10) as proof of Xp
% 216.71/217.07 Found (x2 x10) as proof of Xp
% 216.71/217.07 Found x2:(P b)
% 216.71/217.07 Instantiate: b0:=b:Prop
% 216.71/217.07 Found x2 as proof of (P0 b0)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 216.71/217.07 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 216.71/217.07 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 216.71/217.07 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 216.71/217.07 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 216.71/217.07 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 216.71/217.07 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 216.71/217.07 Found x00:=(x0 x10):Xq
% 216.71/217.07 Found (x0 x10) as proof of Xq
% 216.71/217.07 Found (x0 x10) as proof of Xq
% 216.71/217.07 Found x10:=(x1 x00):Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 216.71/217.07 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 216.71/217.07 Found x10:=(x1 x00):Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found x00:=(x0 x10):Xq
% 216.71/217.07 Found (x0 x10) as proof of Xq
% 216.71/217.07 Found (x0 x10) as proof of Xq
% 216.71/217.07 Found x10:=(x1 x00):Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found x10:=(x1 x00):Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found (x1 x00) as proof of Xp
% 216.71/217.07 Found x00:=(x0 x10):Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found x10:=(x1 x00):Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found x10:=(x1 x00):Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found x00:=(x0 x10):Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found x10:=(x1 x00):Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found x00:=(x0 x10):Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found x10:=(x1 x00):Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found x00:=(x0 x10):Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found x10:=(x1 x00):Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found (x1 x00) as proof of Xp
% 222.25/222.58 Found x00:=(x0 x10):Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found (x0 x10) as proof of Xq
% 222.25/222.58 Found x0:(P Xq)
% 222.25/222.58 Instantiate: b0:=Xq:Prop
% 222.25/222.58 Found x0 as proof of (P0 b0)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.25/222.58 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 222.25/222.58 Found x0:(P b)
% 222.25/222.58 Instantiate: b0:=b:Prop
% 222.25/222.58 Found x0 as proof of (P0 b0)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 222.25/222.58 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 222.25/222.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 222.25/222.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 222.25/222.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 222.25/222.58 Found x00:=(x0 x11):Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found x10:=(x1 x01):Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found x10:=(x1 x01):Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found x10:=(x1 x01):Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found x10:=(x1 x01):Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 222.25/222.58 Found x00:=(x0 x11):Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found x00:=(x0 x11):Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found x00:=(x0 x11):Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 222.25/222.58 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.25/222.58 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found x00:(P1 Xq)
% 222.25/222.58 Found (fun (x00:(P1 Xq))=> x00) as proof of (P1 Xq)
% 222.25/222.58 Found (fun (x00:(P1 Xq))=> x00) as proof of (P2 Xq)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.25/222.58 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 222.25/222.58 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found x00:(P1 Xq)
% 222.25/222.58 Found (fun (x00:(P1 Xq))=> x00) as proof of (P1 Xq)
% 222.25/222.58 Found (fun (x00:(P1 Xq))=> x00) as proof of (P2 Xq)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 222.25/222.58 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 222.25/222.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 222.25/222.58 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 222.25/222.58 Found x00:=(x0 x11):Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found (x0 x11) as proof of Xq
% 222.25/222.58 Found x10:=(x1 x01):Xp
% 222.25/222.58 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x00:=(x0 x11):Xq
% 230.87/231.22 Found (x0 x11) as proof of Xq
% 230.87/231.22 Found (x0 x11) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x00:=(x0 x11):Xq
% 230.87/231.22 Found (x0 x11) as proof of Xq
% 230.87/231.22 Found (x0 x11) as proof of Xq
% 230.87/231.22 Found x00:=(x0 x10):Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x00):Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found x00:=(x0 x11):Xq
% 230.87/231.22 Found (x0 x11) as proof of Xq
% 230.87/231.22 Found (x0 x11) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 230.87/231.22 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 230.87/231.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 230.87/231.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 230.87/231.22 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 230.87/231.22 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 230.87/231.22 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 230.87/231.22 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 230.87/231.22 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 230.87/231.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 230.87/231.22 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 230.87/231.22 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 230.87/231.22 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 230.87/231.22 Found x20:(P Xq)
% 230.87/231.22 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 230.87/231.22 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 230.87/231.22 Found x20:(P Xq)
% 230.87/231.22 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 230.87/231.22 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 230.87/231.22 Found x00:=(x0 x10):Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x00):Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found x20:=(x2 x10):Xp
% 230.87/231.22 Found (x2 x10) as proof of Xp
% 230.87/231.22 Found (x2 x10) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x20):Xq
% 230.87/231.22 Found (x1 x20) as proof of Xq
% 230.87/231.22 Found (x1 x20) as proof of Xq
% 230.87/231.22 Found x20:=(x2 x10):Xp
% 230.87/231.22 Found (x2 x10) as proof of Xp
% 230.87/231.22 Found (x2 x10) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x20):Xq
% 230.87/231.22 Found (x1 x20) as proof of Xq
% 230.87/231.22 Found (x1 x20) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x01):Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found (x1 x01) as proof of Xp
% 230.87/231.22 Found x20:(P b)
% 230.87/231.22 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 230.87/231.22 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 230.87/231.22 Found x10:=(x1 x00):Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found x00:=(x0 x10):Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found x00:=(x0 x10):Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x00):Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found x10:=(x1 x00):Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found x00:=(x0 x10):Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found (x0 x10) as proof of Xq
% 230.87/231.22 Found x10:=(x1 x00):Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found (x1 x00) as proof of Xp
% 230.87/231.22 Found x00:=(x0 x10):Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found x00:=(x0 x10):Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found x10:=(x1 x00):Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found x20:=(x2 x30):Xq
% 235.56/235.93 Found (x2 x30) as proof of Xq
% 235.56/235.93 Found (x2 x30) as proof of Xq
% 235.56/235.93 Found x30:=(x3 x20):Xp
% 235.56/235.93 Found (x3 x20) as proof of Xp
% 235.56/235.93 Found (x3 x20) as proof of Xp
% 235.56/235.93 Found x2:(P Xq)
% 235.56/235.93 Instantiate: a:=Xq:Prop
% 235.56/235.93 Found x2 as proof of (P0 a)
% 235.56/235.93 Found x10:=(x1 x01):Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found x10:=(x1 x01):Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found x00:=(x0 x11):Xq
% 235.56/235.93 Found (x0 x11) as proof of Xq
% 235.56/235.93 Found (x0 x11) as proof of Xq
% 235.56/235.93 Found x10:=(x1 x01):Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found x00:=(x0 x11):Xq
% 235.56/235.93 Found (x0 x11) as proof of Xq
% 235.56/235.93 Found (x0 x11) as proof of Xq
% 235.56/235.93 Found x10:=(x1 x01):Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found (x1 x01) as proof of Xp
% 235.56/235.93 Found x00:=(x0 x10):Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found x10:=(x1 x00):Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found x10:=(x1 x00):Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found x00:=(x0 x10):Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found (x0 x10) as proof of Xq
% 235.56/235.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 235.56/235.93 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 235.56/235.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 235.56/235.93 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 235.56/235.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found x20:=(x2 x10):Xp
% 235.56/235.93 Found (x2 x10) as proof of Xp
% 235.56/235.93 Found (x2 x10) as proof of Xp
% 235.56/235.93 Found x20:=(x2 x10):Xp
% 235.56/235.93 Found (x2 x10) as proof of Xp
% 235.56/235.93 Found (x2 x10) as proof of Xp
% 235.56/235.93 Found x10:=(x1 x20):Xq
% 235.56/235.93 Found (x1 x20) as proof of Xq
% 235.56/235.93 Found (x1 x20) as proof of Xq
% 235.56/235.93 Found x10:=(x1 x20):Xq
% 235.56/235.93 Found (x1 x20) as proof of Xq
% 235.56/235.93 Found (x1 x20) as proof of Xq
% 235.56/235.93 Found x10:=(x1 x00):Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found (x1 x00) as proof of Xp
% 235.56/235.93 Found x20:(P b)
% 235.56/235.93 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 235.56/235.93 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 235.56/235.93 Found x20:(P Xq)
% 235.56/235.93 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 235.56/235.93 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 235.56/235.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 235.56/235.93 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found x20:(P Xq)
% 235.56/235.93 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 235.56/235.93 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 235.56/235.93 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 235.56/235.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 235.56/235.93 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 235.56/235.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 239.51/239.84 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 239.51/239.84 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 239.51/239.84 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.51/239.84 Found x20:(P b)
% 239.51/239.84 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 239.51/239.84 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 239.51/239.84 Found x20:(P b)
% 239.51/239.84 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 239.51/239.84 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.51/239.84 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 239.51/239.84 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.51/239.84 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 239.51/239.84 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 239.51/239.84 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 239.51/239.84 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 239.51/239.84 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 239.51/239.84 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.51/239.84 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 239.51/239.84 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 239.51/239.84 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 239.51/239.84 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.51/239.84 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 243.90/244.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 243.90/244.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 243.90/244.21 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found x2:(P2 b)
% 243.90/244.21 Instantiate: b:=Xp:Prop
% 243.90/244.21 Found (fun (x2:(P2 b))=> x2) as proof of (P2 Xp)
% 243.90/244.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 Xp))
% 243.90/244.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found x2:(P2 b)
% 243.90/244.21 Instantiate: b:=Xp:Prop
% 243.90/244.21 Found (fun (x2:(P2 b))=> x2) as proof of (P2 Xp)
% 243.90/244.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 Xp))
% 243.90/244.21 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 243.90/244.21 Found x20:=(x2 x10):Xp
% 243.90/244.21 Found (x2 x10) as proof of Xp
% 243.90/244.21 Found (x2 x10) as proof of Xp
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 243.90/244.21 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 243.90/244.21 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found x10:=(x1 x00):Xp
% 243.90/244.21 Found (x1 x00) as proof of Xp
% 243.90/244.21 Found (x1 x00) as proof of Xp
% 243.90/244.21 Found x00:=(x0 x10):Xq
% 243.90/244.21 Found (x0 x10) as proof of Xq
% 243.90/244.21 Found (x0 x10) as proof of Xq
% 243.90/244.21 Found x2:(P b)
% 243.90/244.21 Instantiate: b0:=b:Prop
% 243.90/244.21 Found x2 as proof of (P0 b0)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 243.90/244.21 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 243.90/244.21 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 243.90/244.21 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 243.90/244.21 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 243.90/244.21 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.83/251.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 250.83/251.14 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.83/251.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found x10:=(x1 x20):Xq
% 250.83/251.14 Found (x1 x20) as proof of Xq
% 250.83/251.14 Found (x1 x20) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found x20:=(x2 x10):Xp
% 250.83/251.14 Found (x2 x10) as proof of Xp
% 250.83/251.14 Found (x2 x10) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x10):Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x10):Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 250.83/251.14 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.83/251.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found x30:=(x3 x20):Xp
% 250.83/251.14 Found (x3 x20) as proof of Xp
% 250.83/251.14 Found (x3 x20) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x10):Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x10):Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x01):Xp
% 250.83/251.14 Found (x1 x01) as proof of Xp
% 250.83/251.14 Found (x1 x01) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x11):Xq
% 250.83/251.14 Found (x0 x11) as proof of Xq
% 250.83/251.14 Found (x0 x11) as proof of Xq
% 250.83/251.14 Found x20:=(x2 x10):Xp
% 250.83/251.14 Found (x2 x10) as proof of Xp
% 250.83/251.14 Found (x2 x10) as proof of Xp
% 250.83/251.14 Found x20:=(x2 x10):Xp
% 250.83/251.14 Found (x2 x10) as proof of Xp
% 250.83/251.14 Found (x2 x10) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x10):Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found (x0 x10) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x00):Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found (x1 x00) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x11):Xq
% 250.83/251.14 Found (x0 x11) as proof of Xq
% 250.83/251.14 Found (x0 x11) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x01):Xp
% 250.83/251.14 Found (x1 x01) as proof of Xp
% 250.83/251.14 Found (x1 x01) as proof of Xp
% 250.83/251.14 Found x00:=(x0 x11):Xq
% 250.83/251.14 Found (x0 x11) as proof of Xq
% 250.83/251.14 Found (x0 x11) as proof of Xq
% 250.83/251.14 Found x10:=(x1 x01):Xp
% 250.83/251.14 Found (x1 x01) as proof of Xp
% 250.83/251.14 Found (x1 x01) as proof of Xp
% 250.83/251.14 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.83/251.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 250.83/251.14 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 250.83/251.14 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 250.83/251.14 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 250.83/251.14 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 253.74/254.05 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 253.74/254.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 253.74/254.05 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 253.74/254.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 253.74/254.05 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found x2:(P1 Xq)
% 253.74/254.05 Instantiate: b:=Xq:Prop
% 253.74/254.05 Found x2 as proof of (P2 b)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 253.74/254.05 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found x2:(P1 Xq)
% 253.74/254.05 Instantiate: b:=Xq:Prop
% 253.74/254.05 Found x2 as proof of (P2 b)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 253.74/254.05 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 253.74/254.05 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 253.74/254.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 253.74/254.05 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 253.74/254.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found x30:(P1 Xq)
% 253.74/254.05 Found (fun (x30:(P1 Xq))=> x30) as proof of (P1 Xq)
% 253.74/254.05 Found (fun (x30:(P1 Xq))=> x30) as proof of (P2 Xq)
% 253.74/254.05 Found x00:=(x0 x11):Xq
% 253.74/254.05 Found (x0 x11) as proof of Xq
% 253.74/254.05 Found (x0 x11) as proof of Xq
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 253.74/254.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 253.74/254.05 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 253.74/254.05 Found x10:=(x1 x01):Xp
% 253.74/254.05 Found (x1 x01) as proof of Xp
% 253.74/254.05 Found (x1 x01) as proof of Xp
% 253.74/254.05 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 253.74/254.05 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 253.74/254.05 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 256.70/257.04 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 256.70/257.04 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 256.70/257.04 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 256.70/257.04 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 256.70/257.04 Found x10:=(x1 x01):Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found x00:=(x0 x11):Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found x00:=(x0 x11):Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found x10:=(x1 x01):Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found x10:=(x1 x01):Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found x10:=(x1 x01):Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found (x1 x01) as proof of Xp
% 256.70/257.04 Found x00:=(x0 x11):Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found x10:=(x1 x00):Xp
% 256.70/257.04 Found (x1 x00) as proof of Xp
% 256.70/257.04 Found (x1 x00) as proof of Xp
% 256.70/257.04 Found x00:=(x0 x11):Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found (x0 x11) as proof of Xq
% 256.70/257.04 Found x00:=(x0 x10):Xq
% 256.70/257.04 Found (x0 x10) as proof of Xq
% 256.70/257.04 Found (x0 x10) as proof of Xq
% 256.70/257.04 Found x2:(P b)
% 256.70/257.04 Found x2 as proof of (P0 Xp)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 256.70/257.04 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 256.70/257.04 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 256.70/257.04 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 256.70/257.04 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 256.70/257.04 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 256.70/257.04 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found x10:=(x1 x00):Xp
% 256.70/257.04 Found (x1 x00) as proof of Xp
% 256.70/257.04 Found (x1 x00) as proof of Xp
% 256.70/257.04 Found x20:(P b)
% 256.70/257.04 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 256.70/257.04 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 256.70/257.04 Found x00:=(x0 x10):Xq
% 256.70/257.04 Found (x0 x10) as proof of Xq
% 256.70/257.04 Found (x0 x10) as proof of Xq
% 256.70/257.04 Found x20:(P b)
% 256.70/257.04 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 256.70/257.04 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 256.70/257.04 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 256.70/257.04 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 256.70/257.04 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 256.70/257.04 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 256.70/257.04 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found x00:=(x0 x10):Xq
% 261.24/261.58 Found (x0 x10) as proof of Xq
% 261.24/261.58 Found (x0 x10) as proof of Xq
% 261.24/261.58 Found x10:=(x1 x00):Xp
% 261.24/261.58 Found (x1 x00) as proof of Xp
% 261.24/261.58 Found (x1 x00) as proof of Xp
% 261.24/261.58 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 261.24/261.58 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 261.24/261.58 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 261.24/261.58 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 261.24/261.58 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 261.24/261.58 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.24/261.58 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 261.24/261.58 Found x10:=(x1 x00):Xp
% 261.24/261.58 Found (x1 x00) as proof of Xp
% 261.24/261.58 Found (x1 x00) as proof of Xp
% 261.24/261.58 Found x00:=(x0 x10):Xq
% 261.24/261.58 Found (x0 x10) as proof of Xq
% 261.24/261.58 Found (x0 x10) as proof of Xq
% 261.24/261.58 Found x2:(P Xq)
% 261.24/261.58 Instantiate: a:=Xq:Prop
% 261.24/261.58 Found x2 as proof of (P0 a)
% 261.24/261.58 Found x10:=(x1 x01):Xp
% 261.24/261.58 Found (x1 x01) as proof of Xp
% 261.24/261.58 Found (x1 x01) as proof of Xp
% 261.24/261.58 Found x00:=(x0 x11):Xq
% 261.24/261.58 Found (x0 x11) as proof of Xq
% 261.24/261.58 Found (x0 x11) as proof of Xq
% 261.24/261.58 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 261.24/261.58 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.24/261.58 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 261.24/261.58 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.24/261.58 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 261.24/261.58 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 261.24/261.58 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 261.24/261.58 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 261.24/261.58 Found x00:=(x0 x10):Xq
% 261.24/261.58 Found (x0 x10) as proof of Xq
% 261.24/261.58 Found (x0 x10) as proof of Xq
% 261.24/261.58 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x10:=(x1 x01):Xp
% 265.82/266.18 Found (x1 x01) as proof of Xp
% 265.82/266.18 Found (x1 x01) as proof of Xp
% 265.82/266.18 Found x10:=(x1 x01):Xp
% 265.82/266.18 Found (x1 x01) as proof of Xp
% 265.82/266.18 Found (x1 x01) as proof of Xp
% 265.82/266.18 Found x20:=(x2 x10):Xp
% 265.82/266.18 Found (x2 x10) as proof of Xp
% 265.82/266.18 Found (x2 x10) as proof of Xp
% 265.82/266.18 Found x10:=(x1 x20):Xq
% 265.82/266.18 Found (x1 x20) as proof of Xq
% 265.82/266.18 Found (x1 x20) as proof of Xq
% 265.82/266.18 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 265.82/266.18 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 265.82/266.18 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x00:=(x0 x10):Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x00:=(x0 x10):Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found x00:=(x0 x10):Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found x00:=(x0 x10):Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found x00:=(x0 x10):Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x20:(P Xq)
% 265.82/266.18 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 265.82/266.18 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 265.82/266.18 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 265.82/266.18 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 265.82/266.18 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 265.82/266.18 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 265.82/266.18 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 265.82/266.18 Found x10:=(x1 x01):Xp
% 265.82/266.18 Found (x1 x01) as proof of Xp
% 265.82/266.18 Found (x1 x01) as proof of Xp
% 265.82/266.18 Found x00:=(x0 x11):Xq
% 265.82/266.18 Found (x0 x11) as proof of Xq
% 265.82/266.18 Found (x0 x11) as proof of Xq
% 265.82/266.18 Found x0:(P b)
% 265.82/266.18 Found x0 as proof of (P0 Xp)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 265.82/266.18 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 265.82/266.18 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 265.82/266.18 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 265.82/266.18 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 265.82/266.18 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 265.82/266.18 Found x10:=(x1 x00):Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found (x1 x00) as proof of Xp
% 265.82/266.18 Found x00:=(x0 x10):Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 265.82/266.18 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found x00:=(x0 x10):Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found x10:=(x1 x00):Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found x00:=(x0 x10):Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found x20:(P b)
% 271.99/272.34 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 271.99/272.34 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 271.99/272.34 Found x10:=(x1 x00):Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found x00:=(x0 x11):Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found x10:=(x1 x01):Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 271.99/272.34 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 271.99/272.34 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 271.99/272.34 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 271.99/272.34 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found x10:=(x1 x00):Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found x00:=(x0 x11):Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found x10:=(x1 x01):Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found x20:(P Xq)
% 271.99/272.34 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 271.99/272.34 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 271.99/272.34 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 271.99/272.34 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found x10:=(x1 x00):Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found x00:=(x0 x10):Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found x00:=(x0 x11):Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found x10:=(x1 x01):Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found x00:=(x0 x11):Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found (x0 x11) as proof of Xq
% 271.99/272.34 Found x00:=(x0 x10):Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found (x0 x10) as proof of Xq
% 271.99/272.34 Found x10:=(x1 x00):Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found (x1 x00) as proof of Xp
% 271.99/272.34 Found x10:=(x1 x01):Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found (x1 x01) as proof of Xp
% 271.99/272.34 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 271.99/272.34 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 271.99/272.34 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 271.99/272.34 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 271.99/272.34 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 271.99/272.34 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found x20:=(x2 x10):Xp
% 280.34/280.70 Found (x2 x10) as proof of Xp
% 280.34/280.70 Found (x2 x10) as proof of Xp
% 280.34/280.70 Found x10:=(x1 x00):Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found x00:=(x0 x10):Xq
% 280.34/280.70 Found (x0 x10) as proof of Xq
% 280.34/280.70 Found (x0 x10) as proof of Xq
% 280.34/280.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 280.34/280.70 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 280.34/280.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 280.34/280.70 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 280.34/280.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 280.34/280.70 Found x10:=(x1 x00):Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found x10:=(x1 x00):Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found x10:=(x1 x00):Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found x10:=(x1 x00):Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found (x1 x00) as proof of Xp
% 280.34/280.70 Found x00:=(x0 x10):Xq
% 280.34/280.70 Found (x0 x10) as proof of Xq
% 280.34/280.70 Found (x0 x10) as proof of Xq
% 280.34/280.70 Found x00:=(x0 x10):Xq
% 280.34/280.70 Found (x0 x10) as proof of Xq
% 280.34/280.70 Found (x0 x10) as proof of Xq
% 280.34/280.70 Found x2:(P Xq)
% 280.34/280.70 Instantiate: b:=Xq:Prop
% 280.34/280.70 Found x2 as proof of (P0 b)
% 280.34/280.70 Found x2:(P Xq)
% 280.34/280.70 Instantiate: b:=Xq:Prop
% 280.34/280.70 Found x2 as proof of (P0 b)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 280.34/280.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 280.34/280.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 280.34/280.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 280.34/280.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 280.34/280.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 280.34/280.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 280.34/280.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 280.34/280.70 Found x10:=(x1 x01):Xp
% 280.34/280.70 Found (x1 x01) as proof of Xp
% 280.34/280.70 Found (x1 x01) as proof of Xp
% 280.34/280.70 Found x00:=(x0 x11):Xq
% 280.34/280.70 Found (x0 x11) as proof of Xq
% 280.34/280.70 Found (x0 x11) as proof of Xq
% 280.34/280.70 Found x20:(P1 b)
% 280.34/280.70 Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% 280.34/280.70 Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% 280.34/280.70 Found x20:(P1 b)
% 280.34/280.70 Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% 282.67/283.02 Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% 282.67/283.02 Found x00:=(x0 x10):Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found x10:=(x1 x00):Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found x10:=(x1 x01):Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 282.67/283.02 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 282.67/283.02 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found x00:=(x0 x11):Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 282.67/283.02 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 282.67/283.02 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 282.67/283.02 Found x00:=(x0 x10):Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 282.67/283.02 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 282.67/283.02 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found x10:=(x1 x00):Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found x00:=(x0 x11):Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found x10:=(x1 x01):Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found x10:=(x1 x01):Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found x10:=(x1 x00):Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found x00:=(x0 x10):Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found x00:=(x0 x10):Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found (x0 x10) as proof of Xq
% 282.67/283.02 Found x00:=(x0 x11):Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found x10:=(x1 x00):Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found (x1 x00) as proof of Xp
% 282.67/283.02 Found x00:=(x0 x11):Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found (x0 x11) as proof of Xq
% 282.67/283.02 Found x10:=(x1 x01):Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found (x1 x01) as proof of Xp
% 282.67/283.02 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 282.67/283.02 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 282.67/283.02 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 282.67/283.02 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 282.67/283.02 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 282.67/283.02 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 282.67/283.02 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.51/285.89 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 285.51/285.89 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b0)
% 285.51/285.89 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 285.51/285.89 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 285.51/285.89 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b0)
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found x00:(P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P2 Xq)
% 285.51/285.89 Found x00:(P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P2 Xq)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.51/285.89 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 285.51/285.89 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 285.51/285.89 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.51/285.89 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xq)
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found x00:(P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P2 Xq)
% 285.51/285.89 Found x00:(P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P1 Xq)
% 285.51/285.89 Found (fun (x00:(P1 Xq))=> x00) as proof of (P2 Xq)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 285.51/285.89 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 285.51/285.89 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 285.51/285.89 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 285.51/285.89 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 285.51/285.89 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.51/285.89 Found (eq_ref0 b0) as proof of (((eq Prop) b0) Xp)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 285.51/285.89 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) Xp)
% 285.51/285.89 Found x00:=(x0 x11):Xq
% 285.51/285.89 Found (x0 x11) as proof of Xq
% 285.51/285.89 Found (x0 x11) as proof of Xq
% 285.51/285.89 Found x10:=(x1 x00):Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found (x1 x00) as proof of Xp
% 285.51/285.89 Found x10:=(x1 x01):Xp
% 285.51/285.89 Found (x1 x01) as proof of Xp
% 285.51/285.89 Found (x1 x01) as proof of Xp
% 285.51/285.89 Found x00:=(x0 x10):Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found (x0 x10) as proof of Xq
% 285.51/285.89 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 285.51/285.89 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 285.51/285.89 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 285.51/285.89 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 290.38/290.76 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 Xp):(((eq Prop) Xp) Xp)
% 290.38/290.76 Found (eq_ref0 Xp) as proof of (((eq Prop) Xp) b)
% 290.38/290.76 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 290.38/290.76 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 290.38/290.76 Found ((eq_ref Prop) Xp) as proof of (((eq Prop) Xp) b)
% 290.38/290.76 Found x10:=(x1 x00):Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found x00:=(x0 x10):Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 290.38/290.76 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.38/290.76 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.38/290.76 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 290.38/290.76 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found x00:=(x0 x11):Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found x00:=(x0 x11):Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found x10:=(x1 x01):Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found x10:=(x1 x00):Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found x10:=(x1 x01):Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found x00:=(x0 x10):Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found x00:=(x0 x10):Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found x10:=(x1 x00):Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found x00:=(x0 x10):Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found x00:=(x0 x11):Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found x10:=(x1 x00):Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found x10:=(x1 x01):Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 290.38/290.76 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.38/290.76 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.38/290.76 Found (eq_ref0 b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) Xp)
% 290.38/290.76 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 290.38/290.76 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b)
% 290.38/290.76 Found x10:=(x1 x00):Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found (x1 x00) as proof of Xp
% 290.38/290.76 Found x00:=(x0 x11):Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 290.38/290.76 Found x10:=(x1 x01):Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found x00:=(x0 x10):Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found (x0 x10) as proof of Xq
% 290.38/290.76 Found x10:=(x1 x01):Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found (x1 x01) as proof of Xp
% 290.38/290.76 Found x00:=(x0 x11):Xq
% 290.38/290.76 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found x00:=(x0 x11):Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x11):Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x11):Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x20:(P Xq)
% 296.32/296.70 Found (fun (x20:(P Xq))=> x20) as proof of (P Xq)
% 296.32/296.70 Found (fun (x20:(P Xq))=> x20) as proof of (P0 Xq)
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x20:(P b)
% 296.32/296.70 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 296.32/296.70 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 296.32/296.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 296.32/296.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 296.32/296.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 296.32/296.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.32/296.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.32/296.70 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x11):Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x11):Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found (x0 x11) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x2:(P Xq)
% 296.32/296.70 Instantiate: b:=Xq:Prop
% 296.32/296.70 Found x2 as proof of (P0 b)
% 296.32/296.70 Found x2:(P Xq)
% 296.32/296.70 Instantiate: b:=Xq:Prop
% 296.32/296.70 Found x2 as proof of (P0 b)
% 296.32/296.70 Found x20:=(x2 x10):Xp
% 296.32/296.70 Found (x2 x10) as proof of Xp
% 296.32/296.70 Found (x2 x10) as proof of Xp
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x2:(P Xq)
% 296.32/296.70 Instantiate: b:=Xq:Prop
% 296.32/296.70 Found x2 as proof of (P0 b)
% 296.32/296.70 Found x10:=(x1 x20):Xq
% 296.32/296.70 Found (x1 x20) as proof of Xq
% 296.32/296.70 Found (x1 x20) as proof of Xq
% 296.32/296.70 Found x2:(P Xq)
% 296.32/296.70 Instantiate: b:=Xq:Prop
% 296.32/296.70 Found x2 as proof of (P0 b)
% 296.32/296.70 Found x10:=(x1 x01):Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found (x1 x01) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x10:=(x1 x00):Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found (x1 x00) as proof of Xp
% 296.32/296.70 Found x00:=(x0 x10):Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found (x0 x10) as proof of Xq
% 296.32/296.70 Found eq_ref00:=(eq_ref0 Xq):(((eq Prop) Xq) Xq)
% 296.32/296.70 Found (eq_ref0 Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found ((eq_ref Prop) Xq) as proof of (((eq Prop) Xq) b0)
% 296.32/296.70 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 296.32/296.70 Found (eq_ref0 b0) as proof of (((eq Prop) b0
%------------------------------------------------------------------------------