TSTP Solution File: SYO007^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO007^1 : TPTP v7.5.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 00:50:23 EDT 2022
% Result : Timeout 287.73s 288.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO007^1 : TPTP v7.5.0. Released v3.7.0.
% 0.06/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Mar 10 23:47:17 EST 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.35 Python 2.7.5
% 5.41/5.59 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 5.41/5.59 FOF formula (<kernel.Constant object at 0x2b6cad423b00>, <kernel.DependentProduct object at 0x2b6cad423b90>) of role type named leibeq1_type
% 5.41/5.59 Using role type
% 5.41/5.59 Declaring leibeq:(Prop->(Prop->Prop))
% 5.41/5.59 FOF formula (((eq (Prop->(Prop->Prop))) leibeq) (fun (U:Prop) (V:Prop)=> (forall (Q:(Prop->Prop)), ((Q U)->(Q V))))) of role definition named leibeq1
% 5.41/5.59 A new definition: (((eq (Prop->(Prop->Prop))) leibeq) (fun (U:Prop) (V:Prop)=> (forall (Q:(Prop->Prop)), ((Q U)->(Q V)))))
% 5.41/5.59 Defined: leibeq:=(fun (U:Prop) (V:Prop)=> (forall (Q:(Prop->Prop)), ((Q U)->(Q V))))
% 5.41/5.59 FOF formula (forall (A:Prop) (B:Prop), (((iff A) B)->((leibeq A) B))) of role conjecture named conj
% 5.41/5.59 Conjecture to prove = (forall (A:Prop) (B:Prop), (((iff A) B)->((leibeq A) B))):Prop
% 5.41/5.59 We need to prove ['(forall (A:Prop) (B:Prop), (((iff A) B)->((leibeq A) B)))']
% 5.41/5.59 Definition leibeq:=(fun (U:Prop) (V:Prop)=> (forall (Q:(Prop->Prop)), ((Q U)->(Q V)))):(Prop->(Prop->Prop)).
% 5.41/5.59 Trying to prove (forall (A:Prop) (B:Prop), (((iff A) B)->((leibeq A) B)))
% 5.41/5.59 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 5.41/5.59 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.41/5.59 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found x00:(P A)
% 5.41/5.59 Found (fun (x00:(P A))=> x00) as proof of (P A)
% 5.41/5.59 Found (fun (x00:(P A))=> x00) as proof of (P0 A)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 5.41/5.59 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.41/5.59 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 5.41/5.59 Found x20:(P A)
% 5.41/5.59 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 5.41/5.59 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 5.41/5.59 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.41/5.59 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 5.41/5.59 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.41/5.59 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 5.41/5.59 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 5.41/5.59 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found x0:(P A)
% 5.41/5.59 Instantiate: b:=A:Prop
% 5.41/5.59 Found x0 as proof of (P0 b)
% 5.41/5.59 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 5.41/5.59 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 5.41/5.59 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 12.39/12.55 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.39/12.55 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found x2:(P A)
% 12.39/12.55 Instantiate: b:=A:Prop
% 12.39/12.55 Found x2 as proof of (P0 b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 12.39/12.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 12.39/12.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found x0:(P0 b)
% 12.39/12.55 Instantiate: b:=A:Prop
% 12.39/12.55 Found (fun (x0:(P0 b))=> x0) as proof of (P0 A)
% 12.39/12.55 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 A))
% 12.39/12.55 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 12.39/12.55 Found x00:(P A)
% 12.39/12.55 Found (fun (x00:(P A))=> x00) as proof of (P A)
% 12.39/12.55 Found (fun (x00:(P A))=> x00) as proof of (P0 A)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 12.39/12.55 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.39/12.55 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found x0:(P B)
% 12.39/12.55 Instantiate: b:=B:Prop
% 12.39/12.55 Found x0 as proof of (P0 b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 12.39/12.55 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 12.39/12.55 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.39/12.55 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.39/12.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 12.39/12.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 12.39/12.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.39/12.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 12.39/12.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 12.39/12.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 16.86/17.02 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found x00:(P b)
% 16.86/17.02 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 16.86/17.02 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 16.86/17.02 Found x20:(P A)
% 16.86/17.02 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 16.86/17.02 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 16.86/17.02 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.86/17.02 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 16.86/17.02 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found x2:(P0 b)
% 16.86/17.02 Instantiate: b:=A:Prop
% 16.86/17.02 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 16.86/17.02 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 16.86/17.02 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 16.86/17.02 Found x00:=(x0 x10):B
% 16.86/17.02 Found (x0 x10) as proof of B
% 16.86/17.02 Found (x0 x10) as proof of B
% 16.86/17.02 Found x10:=(x1 x00):A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 16.86/17.02 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.86/17.02 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 16.86/17.02 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.86/17.02 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 16.86/17.02 Found x10:=(x1 x00):A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found x00:=(x0 x10):B
% 16.86/17.02 Found (x0 x10) as proof of B
% 16.86/17.02 Found (x0 x10) as proof of B
% 16.86/17.02 Found x2:(P B)
% 16.86/17.02 Instantiate: b:=B:Prop
% 16.86/17.02 Found x2 as proof of (P0 b)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 16.86/17.02 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 16.86/17.02 Found x00:=(x0 x10):B
% 16.86/17.02 Found (x0 x10) as proof of B
% 16.86/17.02 Found (x0 x10) as proof of B
% 16.86/17.02 Found x10:=(x1 x00):A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found x00:(P B)
% 16.86/17.02 Found (fun (x00:(P B))=> x00) as proof of (P B)
% 16.86/17.02 Found (fun (x00:(P B))=> x00) as proof of (P0 B)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.86/17.02 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 16.86/17.02 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 16.86/17.02 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 16.86/17.02 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 16.86/17.02 Found x10:=(x1 x00):A
% 16.86/17.02 Found (x1 x00) as proof of A
% 16.86/17.02 Found (x1 x00) as proof of A
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 21.70/21.92 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 21.70/21.92 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 21.70/21.92 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 21.70/21.92 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 21.70/21.92 Found x2:(P0 b)
% 21.70/21.92 Instantiate: b:=A:Prop
% 21.70/21.92 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 21.70/21.92 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 21.70/21.92 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 21.70/21.92 Found x10:=(x1 x00):A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found x2:(P B)
% 21.70/21.92 Instantiate: b:=B:Prop
% 21.70/21.92 Found x2 as proof of (P0 b)
% 21.70/21.92 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 21.70/21.92 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found x10:=(x1 x00):A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found x20:(P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 21.70/21.92 Found x20:(P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 21.70/21.92 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 21.70/21.92 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 21.70/21.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found x10:=(x1 x00):A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found x10:=(x1 x00):A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found x20:(P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 21.70/21.92 Found x20:(P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 21.70/21.92 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 21.70/21.92 Found x10:=(x1 x00):A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 21.70/21.92 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 21.70/21.92 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 21.70/21.92 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 21.70/21.92 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 21.70/21.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 21.70/21.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 21.70/21.92 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 21.70/21.92 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 21.70/21.92 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 21.70/21.92 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 21.70/21.92 Found x10:=(x1 x00):A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found (x1 x00) as proof of A
% 21.70/21.92 Found x00:=(x0 x10):B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found (x0 x10) as proof of B
% 21.70/21.92 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 21.70/21.92 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 21.70/21.92 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 26.88/27.14 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 26.88/27.14 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 26.88/27.14 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found x00:=(x0 x10):B
% 26.88/27.14 Found (x0 x10) as proof of B
% 26.88/27.14 Found (x0 x10) as proof of B
% 26.88/27.14 Found x10:=(x1 x00):A
% 26.88/27.14 Found (x1 x00) as proof of A
% 26.88/27.14 Found (x1 x00) as proof of A
% 26.88/27.14 Found x20:(P b)
% 26.88/27.14 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 26.88/27.14 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 26.88/27.14 Found x00:(P b)
% 26.88/27.14 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 26.88/27.14 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 26.88/27.14 Found x00:(P A)
% 26.88/27.14 Found (fun (x00:(P A))=> x00) as proof of (P A)
% 26.88/27.14 Found (fun (x00:(P A))=> x00) as proof of (P0 A)
% 26.88/27.14 Found x00:=(x0 x10):B
% 26.88/27.14 Found (x0 x10) as proof of B
% 26.88/27.14 Found (x0 x10) as proof of B
% 26.88/27.14 Found x10:=(x1 x00):A
% 26.88/27.14 Found (x1 x00) as proof of A
% 26.88/27.14 Found (x1 x00) as proof of A
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 26.88/27.14 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found x20:(P b)
% 26.88/27.14 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 26.88/27.14 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 26.88/27.14 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 26.88/27.14 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 26.88/27.14 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 26.88/27.14 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 26.88/27.14 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found x20:(P B)
% 32.38/32.55 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 32.38/32.55 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 32.38/32.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.38/32.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.38/32.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 32.38/32.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 32.38/32.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.38/32.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 32.38/32.55 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 32.38/32.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 32.38/32.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 32.38/32.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.38/32.55 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 32.38/32.55 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 32.38/32.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 32.38/32.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 32.38/32.55 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 32.38/32.55 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 32.38/32.55 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 32.38/32.55 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 32.38/32.55 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 32.38/32.55 Found x20:(P B)
% 32.38/32.55 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 32.38/32.55 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 32.38/32.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.38/32.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found x00:=(x0 x10):B
% 32.38/32.55 Found (x0 x10) as proof of B
% 32.38/32.55 Found (x0 x10) as proof of B
% 32.38/32.55 Found x10:=(x1 x00):A
% 32.38/32.55 Found (x1 x00) as proof of A
% 32.38/32.55 Found (x1 x00) as proof of A
% 32.38/32.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.38/32.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 32.38/32.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 32.38/32.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 32.38/32.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.30/35.46 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found x00:=(x0 x10):B
% 35.30/35.46 Found (x0 x10) as proof of B
% 35.30/35.46 Found (x0 x10) as proof of B
% 35.30/35.46 Found x10:=(x1 x00):A
% 35.30/35.46 Found (x1 x00) as proof of A
% 35.30/35.46 Found (x1 x00) as proof of A
% 35.30/35.46 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 35.30/35.46 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.30/35.46 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found x20:(P A)
% 35.30/35.46 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 35.30/35.46 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.30/35.46 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 35.30/35.46 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 35.30/35.46 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 35.30/35.46 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 35.30/35.46 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 35.30/35.46 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.30/35.46 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 35.30/35.46 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.30/35.46 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.30/35.46 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 35.30/35.46 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 35.30/35.46 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 35.30/35.46 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 35.30/35.46 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 35.30/35.46 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 35.30/35.46 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 43.99/44.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 43.99/44.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x20:(P b)
% 43.99/44.18 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 43.99/44.18 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 43.99/44.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 43.99/44.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.99/44.18 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.99/44.18 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 43.99/44.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 43.99/44.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x10:=(x1 x20):B
% 43.99/44.18 Found (x1 x20) as proof of B
% 43.99/44.18 Found (x1 x20) as proof of B
% 43.99/44.18 Found x20:=(x2 x10):A
% 43.99/44.18 Found (x2 x10) as proof of A
% 43.99/44.18 Found (x2 x10) as proof of A
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x20:(P B)
% 43.99/44.18 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 43.99/44.18 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 43.99/44.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 43.99/44.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 43.99/44.18 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 43.99/44.18 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 43.99/44.18 Found x20:=(x2 x10):A
% 43.99/44.18 Found (x2 x10) as proof of A
% 43.99/44.18 Found (x2 x10) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found (x0 x10) as proof of B
% 43.99/44.18 Found x10:=(x1 x00):A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found (x1 x00) as proof of A
% 43.99/44.18 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x20:(P b)
% 49.80/50.03 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 49.80/50.03 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 49.80/50.03 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 49.80/50.03 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 49.80/50.03 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 49.80/50.03 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 49.80/50.03 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 49.80/50.03 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 49.80/50.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 49.80/50.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 49.80/50.03 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 49.80/50.03 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 49.80/50.03 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 49.80/50.03 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found (x1 x00) as proof of A
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x00:=(x0 x10):B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found (x0 x10) as proof of B
% 49.80/50.03 Found x10:=(x1 x00):A
% 49.80/50.03 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 55.53/55.72 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 55.53/55.72 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 55.53/55.72 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 55.53/55.72 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 55.53/55.72 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 55.53/55.72 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 55.53/55.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 55.53/55.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 55.53/55.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 55.53/55.72 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 55.53/55.72 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found x20:=(x2 x10):A
% 55.53/55.72 Found (x2 x10) as proof of A
% 55.53/55.72 Found (x2 x10) as proof of A
% 55.53/55.72 Found x10:=(x1 x20):B
% 55.53/55.72 Found (x1 x20) as proof of B
% 55.53/55.72 Found (x1 x20) as proof of B
% 55.53/55.72 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 55.53/55.72 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 55.53/55.72 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 55.53/55.72 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x20:=(x2 x10):A
% 55.53/55.72 Found (x2 x10) as proof of A
% 55.53/55.72 Found (x2 x10) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x10:=(x1 x00):A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found (x1 x00) as proof of A
% 55.53/55.72 Found x00:=(x0 x10):B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found (x0 x10) as proof of B
% 55.53/55.72 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 55.53/55.72 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 55.53/55.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 55.53/55.72 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 66.40/66.62 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 66.40/66.62 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 66.40/66.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 66.40/66.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 66.40/66.62 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x20:=(x2 x10):A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found x10:=(x1 x20):B
% 66.40/66.62 Found (x1 x20) as proof of B
% 66.40/66.62 Found (x1 x20) as proof of B
% 66.40/66.62 Found x20:=(x2 x10):A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found x10:=(x1 x20):B
% 66.40/66.62 Found (x1 x20) as proof of B
% 66.40/66.62 Found (x1 x20) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x20:=(x2 x10):A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found x20:=(x2 x10):A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found (x2 x10) as proof of A
% 66.40/66.62 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 66.40/66.62 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 66.40/66.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 66.40/66.62 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 66.40/66.62 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 66.40/66.62 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 66.40/66.62 Found x00:=(x0 x10):B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found (x0 x10) as proof of B
% 66.40/66.62 Found x10:=(x1 x00):A
% 66.40/66.62 Found (x1 x00) as proof of A
% 66.40/66.62 Found (x1 x00) as proof of A
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x0:(P A)
% 82.76/82.97 Instantiate: b:=A:Prop
% 82.76/82.97 Found x0 as proof of (P0 b)
% 82.76/82.97 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 82.76/82.97 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 82.76/82.97 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 82.76/82.97 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 82.76/82.97 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x2:(P B)
% 82.76/82.97 Instantiate: b:=B:Prop
% 82.76/82.97 Found x2 as proof of (P0 b)
% 82.76/82.97 Found x2:(P B)
% 82.76/82.97 Instantiate: b:=B:Prop
% 82.76/82.97 Found x2 as proof of (P0 b)
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 82.76/82.97 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 82.76/82.97 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found x00:=(x0 x10):B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found (x0 x10) as proof of B
% 82.76/82.97 Found x10:=(x1 x00):A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found (x1 x00) as proof of A
% 82.76/82.97 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 82.76/82.97 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 92.21/92.42 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x2:(P B)
% 92.21/92.42 Instantiate: b:=B:Prop
% 92.21/92.42 Found x2 as proof of (P0 b)
% 92.21/92.42 Found x2:(P B)
% 92.21/92.42 Instantiate: b:=B:Prop
% 92.21/92.42 Found x2 as proof of (P0 b)
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 92.21/92.42 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 92.21/92.42 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 92.21/92.42 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 92.21/92.42 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 92.21/92.42 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 92.21/92.42 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found x2:(P B)
% 92.21/92.42 Instantiate: b:=B:Prop
% 92.21/92.42 Found x2 as proof of (P0 b)
% 92.21/92.42 Found x2:(P B)
% 92.21/92.42 Instantiate: b:=B:Prop
% 92.21/92.42 Found x2 as proof of (P0 b)
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x00:=(x0 x10):B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found (x0 x10) as proof of B
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x10:=(x1 x00):A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found (x1 x00) as proof of A
% 92.21/92.42 Found x2:(P B)
% 92.21/92.42 Instantiate: b:=B:Prop
% 92.21/92.42 Found x2 as proof of (P0 b)
% 92.21/92.42 Found x2:(P B)
% 92.21/92.42 Instantiate: b:=B:Prop
% 92.21/92.42 Found x2 as proof of (P0 b)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 92.21/92.42 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 92.21/92.42 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 92.21/92.42 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x10:=(x1 x20):B
% 98.26/98.50 Found (x1 x20) as proof of B
% 98.26/98.50 Found (x1 x20) as proof of B
% 98.26/98.50 Found x20:=(x2 x10):A
% 98.26/98.50 Found (x2 x10) as proof of A
% 98.26/98.50 Found (x2 x10) as proof of A
% 98.26/98.50 Found x20:=(x2 x10):A
% 98.26/98.50 Found (x2 x10) as proof of A
% 98.26/98.50 Found (x2 x10) as proof of A
% 98.26/98.50 Found x10:=(x1 x20):B
% 98.26/98.50 Found (x1 x20) as proof of B
% 98.26/98.50 Found (x1 x20) as proof of B
% 98.26/98.50 Found x10:=(x1 x01):A
% 98.26/98.50 Found (x1 x01) as proof of A
% 98.26/98.50 Found (x1 x01) as proof of A
% 98.26/98.50 Found x00:=(x0 x11):B
% 98.26/98.50 Found (x0 x11) as proof of B
% 98.26/98.50 Found (x0 x11) as proof of B
% 98.26/98.50 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 98.26/98.50 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 98.26/98.50 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found x2:(P B)
% 98.26/98.50 Instantiate: b:=B:Prop
% 98.26/98.50 Found x2 as proof of (P0 b)
% 98.26/98.50 Found x2:(P B)
% 98.26/98.50 Instantiate: b:=B:Prop
% 98.26/98.50 Found x2 as proof of (P0 b)
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x10:=(x1 x01):A
% 98.26/98.50 Found (x1 x01) as proof of A
% 98.26/98.50 Found (x1 x01) as proof of A
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found x00:=(x0 x11):B
% 98.26/98.50 Found (x0 x11) as proof of B
% 98.26/98.50 Found (x0 x11) as proof of B
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 98.26/98.50 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 98.26/98.50 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 98.26/98.50 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 98.26/98.50 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 98.26/98.50 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 98.26/98.50 Found x10:=(x1 x00):A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found (x1 x00) as proof of A
% 98.26/98.50 Found x00:=(x0 x10):B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found (x0 x10) as proof of B
% 98.26/98.50 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 98.26/98.50 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 98.26/98.50 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 98.26/98.50 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found x00:=(x0 x10):B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found x10:=(x1 x00):A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found x00:=(x0 x10):B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found x10:=(x1 x00):A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found x2:(P A)
% 106.44/106.70 Instantiate: b:=A:Prop
% 106.44/106.70 Found x2 as proof of (P0 b)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 106.44/106.70 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found x20:=(x2 x10):A
% 106.44/106.70 Found (x2 x10) as proof of A
% 106.44/106.70 Found (x2 x10) as proof of A
% 106.44/106.70 Found x20:=(x2 x10):A
% 106.44/106.70 Found (x2 x10) as proof of A
% 106.44/106.70 Found (x2 x10) as proof of A
% 106.44/106.70 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 106.44/106.70 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 106.44/106.70 Found x0:(P0 b)
% 106.44/106.70 Instantiate: b:=A:Prop
% 106.44/106.70 Found (fun (x0:(P0 b))=> x0) as proof of (P0 A)
% 106.44/106.70 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of ((P0 b)->(P0 A))
% 106.44/106.70 Found (fun (P0:(Prop->Prop)) (x0:(P0 b))=> x0) as proof of (P b)
% 106.44/106.70 Found x00:=(x0 x10):B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found x10:=(x1 x00):A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found x00:(P A)
% 106.44/106.70 Found (fun (x00:(P A))=> x00) as proof of (P A)
% 106.44/106.70 Found (fun (x00:(P A))=> x00) as proof of (P0 A)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 106.44/106.70 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 106.44/106.70 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found x0:(P A)
% 106.44/106.70 Instantiate: a:=A:Prop
% 106.44/106.70 Found x0 as proof of (P0 a)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 106.44/106.70 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 106.44/106.70 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 106.44/106.70 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 106.44/106.70 Found x0:(P B)
% 106.44/106.70 Instantiate: b:=B:Prop
% 106.44/106.70 Found x0 as proof of (P0 b)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 106.44/106.70 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found x2:(P B)
% 106.44/106.70 Instantiate: b:=B:Prop
% 106.44/106.70 Found x2 as proof of (P0 b)
% 106.44/106.70 Found x2:(P B)
% 106.44/106.70 Instantiate: b:=B:Prop
% 106.44/106.70 Found x2 as proof of (P0 b)
% 106.44/106.70 Found x0:(P B)
% 106.44/106.70 Instantiate: b:=B:Prop
% 106.44/106.70 Found x0 as proof of (P0 b)
% 106.44/106.70 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 106.44/106.70 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 106.44/106.70 Found x10:=(x1 x00):A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found (x1 x00) as proof of A
% 106.44/106.70 Found x00:=(x0 x10):B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found (x0 x10) as proof of B
% 106.44/106.70 Found x00:=(x0 x11):B
% 106.44/106.70 Found (x0 x11) as proof of B
% 106.44/106.70 Found (x0 x11) as proof of B
% 106.44/106.70 Found x10:=(x1 x01):A
% 106.44/106.70 Found (x1 x01) as proof of A
% 106.44/106.70 Found (x1 x01) as proof of A
% 106.44/106.70 Found x00:=(x0 x11):B
% 106.44/106.70 Found (x0 x11) as proof of B
% 112.76/113.00 Found (x0 x11) as proof of B
% 112.76/113.00 Found x10:=(x1 x01):A
% 112.76/113.00 Found (x1 x01) as proof of A
% 112.76/113.00 Found (x1 x01) as proof of A
% 112.76/113.00 Found x00:=(x0 x10):B
% 112.76/113.00 Found (x0 x10) as proof of B
% 112.76/113.00 Found (x0 x10) as proof of B
% 112.76/113.00 Found x10:=(x1 x00):A
% 112.76/113.00 Found (x1 x00) as proof of A
% 112.76/113.00 Found (x1 x00) as proof of A
% 112.76/113.00 Found x00:=(x0 x10):B
% 112.76/113.00 Found (x0 x10) as proof of B
% 112.76/113.00 Found (x0 x10) as proof of B
% 112.76/113.00 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 112.76/113.00 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 112.76/113.00 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 112.76/113.00 Found x00:=(x0 x11):B
% 112.76/113.00 Found (x0 x11) as proof of B
% 112.76/113.00 Found (x0 x11) as proof of B
% 112.76/113.00 Found x10:=(x1 x00):A
% 112.76/113.00 Found (x1 x00) as proof of A
% 112.76/113.00 Found (x1 x00) as proof of A
% 112.76/113.01 Found x10:=(x1 x01):A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found x10:=(x1 x00):A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found x00:=(x0 x10):B
% 112.76/113.01 Found (x0 x10) as proof of B
% 112.76/113.01 Found (x0 x10) as proof of B
% 112.76/113.01 Found x10:=(x1 x01):A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found x00:=(x0 x11):B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found x00:=(x0 x10):B
% 112.76/113.01 Found (x0 x10) as proof of B
% 112.76/113.01 Found (x0 x10) as proof of B
% 112.76/113.01 Found x10:=(x1 x00):A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found x00:=(x0 x11):B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found x10:=(x1 x01):A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found x10:=(x1 x00):A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found x10:=(x1 x01):A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found x00:=(x0 x11):B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found x10:=(x1 x00):A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found (x1 x00) as proof of A
% 112.76/113.01 Found x00:=(x0 x11):B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found (x0 x11) as proof of B
% 112.76/113.01 Found x10:=(x1 x01):A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found (x1 x01) as proof of A
% 112.76/113.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.76/113.01 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 112.76/113.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 112.76/113.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.76/113.01 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.76/113.01 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 112.76/113.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 112.76/113.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 112.76/113.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 112.76/113.01 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 127.32/127.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 127.32/127.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 127.32/127.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 127.32/127.58 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 127.32/127.58 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 127.32/127.58 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 127.32/127.58 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 127.32/127.58 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 127.32/127.58 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 127.32/127.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 127.32/127.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 127.32/127.58 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x10:=(x1 x21):B
% 127.32/127.58 Found (x1 x21) as proof of B
% 127.32/127.58 Found (x1 x21) as proof of B
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x20:=(x2 x11):A
% 127.32/127.58 Found (x2 x11) as proof of A
% 127.32/127.58 Found (x2 x11) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found x20:(P b)
% 127.32/127.58 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 127.32/127.58 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 127.32/127.58 Found x20:(P b)
% 127.32/127.58 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 127.32/127.58 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x10:=(x1 x01):A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found (x1 x01) as proof of A
% 127.32/127.58 Found x00:=(x0 x11):B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found (x0 x11) as proof of B
% 127.32/127.58 Found x10:=(x1 x00):A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found (x1 x00) as proof of A
% 127.32/127.58 Found x00:=(x0 x10):B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found (x0 x10) as proof of B
% 127.32/127.58 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 127.32/127.58 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 127.32/127.58 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 127.32/127.58 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 127.32/127.58 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 127.32/127.58 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 130.33/130.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 130.33/130.60 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 130.33/130.60 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 130.33/130.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found x10:=(x1 x01):A
% 130.33/130.60 Found (x1 x01) as proof of A
% 130.33/130.60 Found (x1 x01) as proof of A
% 130.33/130.60 Found x00:=(x0 x11):B
% 130.33/130.60 Found (x0 x11) as proof of B
% 130.33/130.60 Found (x0 x11) as proof of B
% 130.33/130.60 Found x10:=(x1 x00):A
% 130.33/130.60 Found (x1 x00) as proof of A
% 130.33/130.60 Found (x1 x00) as proof of A
% 130.33/130.60 Found x00:=(x0 x10):B
% 130.33/130.60 Found (x0 x10) as proof of B
% 130.33/130.60 Found (x0 x10) as proof of B
% 130.33/130.60 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 130.33/130.60 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 130.33/130.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 130.33/130.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 130.33/130.60 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 130.33/130.60 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 130.33/130.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 130.33/130.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found x2:(P0 b)
% 130.33/130.60 Instantiate: b:=A:Prop
% 130.33/130.60 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 130.33/130.60 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 130.33/130.60 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 130.33/130.60 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 130.33/130.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 130.33/130.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 130.33/130.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 130.33/130.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found x2:(P0 b)
% 136.88/137.15 Instantiate: b:=A:Prop
% 136.88/137.15 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 136.88/137.15 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 136.88/137.15 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 136.88/137.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 136.88/137.15 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 136.88/137.15 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 136.88/137.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 136.88/137.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 136.88/137.15 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 136.88/137.15 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 136.88/137.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 136.88/137.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found x10:=(x1 x00):A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found x00:=(x0 x10):B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found x00:=(x0 x10):B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found x00:=(x0 x10):B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found x10:=(x1 x00):A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found x10:=(x1 x00):A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found x20:(P b)
% 136.88/137.15 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 136.88/137.15 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 136.88/137.15 Found x20:(P b)
% 136.88/137.15 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 136.88/137.15 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 136.88/137.15 Found x10:=(x1 x00):A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found (x1 x00) as proof of A
% 136.88/137.15 Found x00:=(x0 x10):B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found (x0 x10) as proof of B
% 136.88/137.15 Found x00:(P b)
% 136.88/137.15 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 136.88/137.15 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 136.88/137.15 Found x00:(P b)
% 136.88/137.15 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 136.88/137.15 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 136.88/137.15 Found x10:=(x1 x01):A
% 136.88/137.15 Found (x1 x01) as proof of A
% 136.88/137.15 Found (x1 x01) as proof of A
% 136.88/137.15 Found x00:=(x0 x11):B
% 136.88/137.15 Found (x0 x11) as proof of B
% 136.88/137.15 Found (x0 x11) as proof of B
% 136.88/137.15 Found x00:=(x0 x11):B
% 136.88/137.15 Found (x0 x11) as proof of B
% 136.88/137.15 Found (x0 x11) as proof of B
% 136.88/137.15 Found x10:=(x1 x01):A
% 136.88/137.15 Found (x1 x01) as proof of A
% 136.88/137.15 Found (x1 x01) as proof of A
% 136.88/137.15 Found x00:=(x0 x11):B
% 136.88/137.15 Found (x0 x11) as proof of B
% 136.88/137.15 Found (x0 x11) as proof of B
% 136.88/137.15 Found x10:=(x1 x01):A
% 136.88/137.15 Found (x1 x01) as proof of A
% 136.88/137.15 Found (x1 x01) as proof of A
% 136.88/137.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 136.88/137.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 136.88/137.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 139.33/139.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 139.33/139.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 139.33/139.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 139.33/139.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found x00:=(x0 x11):B
% 139.33/139.55 Found (x0 x11) as proof of B
% 139.33/139.55 Found (x0 x11) as proof of B
% 139.33/139.55 Found x10:=(x1 x01):A
% 139.33/139.55 Found (x1 x01) as proof of A
% 139.33/139.55 Found (x1 x01) as proof of A
% 139.33/139.55 Found x00:=(x0 x10):B
% 139.33/139.55 Found (x0 x10) as proof of B
% 139.33/139.55 Found (x0 x10) as proof of B
% 139.33/139.55 Found x10:=(x1 x00):A
% 139.33/139.55 Found (x1 x00) as proof of A
% 139.33/139.55 Found (x1 x00) as proof of A
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found x0:(P2 b)
% 139.33/139.55 Instantiate: b:=A:Prop
% 139.33/139.55 Found (fun (x0:(P2 b))=> x0) as proof of (P2 A)
% 139.33/139.55 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 A))
% 139.33/139.55 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found x0:(P2 b)
% 139.33/139.55 Instantiate: b:=A:Prop
% 139.33/139.55 Found (fun (x0:(P2 b))=> x0) as proof of (P2 A)
% 139.33/139.55 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of ((P2 b)->(P2 A))
% 139.33/139.55 Found (fun (P2:(Prop->Prop)) (x0:(P2 b))=> x0) as proof of (P1 b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 139.33/139.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 139.33/139.55 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 139.33/139.55 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 139.33/139.55 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 139.33/139.55 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 144.53/144.76 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found x10:=(x1 x00):A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found x00:=(x0 x10):B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found x00:=(x0 x10):B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found x10:=(x1 x00):A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found x2:(P A)
% 144.53/144.76 Instantiate: a:=A:Prop
% 144.53/144.76 Found x2 as proof of (P0 a)
% 144.53/144.76 Found x10:=(x1 x01):A
% 144.53/144.76 Found (x1 x01) as proof of A
% 144.53/144.76 Found (x1 x01) as proof of A
% 144.53/144.76 Found x00:=(x0 x11):B
% 144.53/144.76 Found (x0 x11) as proof of B
% 144.53/144.76 Found (x0 x11) as proof of B
% 144.53/144.76 Found x00:=(x0 x11):B
% 144.53/144.76 Found (x0 x11) as proof of B
% 144.53/144.76 Found (x0 x11) as proof of B
% 144.53/144.76 Found x10:=(x1 x01):A
% 144.53/144.76 Found (x1 x01) as proof of A
% 144.53/144.76 Found (x1 x01) as proof of A
% 144.53/144.76 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 144.53/144.76 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 144.53/144.76 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 144.53/144.76 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 144.53/144.76 Found x10:=(x1 x00):A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found x20:(P b)
% 144.53/144.76 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 144.53/144.76 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 144.53/144.76 Found x00:=(x0 x10):B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found x20:(P b)
% 144.53/144.76 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 144.53/144.76 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 144.53/144.76 Found x0:(P1 B)
% 144.53/144.76 Instantiate: b:=B:Prop
% 144.53/144.76 Found x0 as proof of (P2 b)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 144.53/144.76 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found x10:=(x1 x00):A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found x00:=(x0 x10):B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found x0:(P1 B)
% 144.53/144.76 Instantiate: b:=B:Prop
% 144.53/144.76 Found x0 as proof of (P2 b)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 144.53/144.76 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found x10:=(x1 x00):A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found (x1 x00) as proof of A
% 144.53/144.76 Found x20:(P A)
% 144.53/144.76 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 144.53/144.76 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 144.53/144.76 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 144.53/144.76 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 144.53/144.76 Found x00:=(x0 x10):B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found (x0 x10) as proof of B
% 144.53/144.76 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 144.53/144.76 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 144.53/144.76 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 144.53/144.76 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 148.02/148.27 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found x2:(P0 b)
% 148.02/148.27 Instantiate: b:=A:Prop
% 148.02/148.27 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 148.02/148.27 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 148.02/148.27 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 148.02/148.27 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 148.02/148.27 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 148.02/148.27 Found x0:(P b)
% 148.02/148.27 Instantiate: b0:=b:Prop
% 148.02/148.27 Found x0 as proof of (P0 b0)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 148.02/148.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 148.02/148.27 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 148.02/148.27 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 148.02/148.27 Found x00:=(x0 x11):B
% 148.02/148.27 Found (x0 x11) as proof of B
% 148.02/148.27 Found (x0 x11) as proof of B
% 148.02/148.27 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 148.02/148.27 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 148.02/148.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 148.02/148.27 Found (eq_ref0 b) as proof of (((eq Prop) b) B)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 148.02/148.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 154.28/154.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) B)
% 154.28/154.53 Found x10:=(x1 x01):A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found x10:=(x1 x01):A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found x00:=(x0 x11):B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found x00:=(x0 x11):B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found x10:=(x1 x01):A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 154.28/154.53 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found x2:(P0 b)
% 154.28/154.53 Instantiate: b:=A:Prop
% 154.28/154.53 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 154.28/154.53 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 154.28/154.53 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 154.28/154.53 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 154.28/154.53 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 154.28/154.53 Found x2:(P0 b)
% 154.28/154.53 Instantiate: b:=A:Prop
% 154.28/154.53 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 154.28/154.53 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 154.28/154.53 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 154.28/154.53 Found x10:=(x1 x01):A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found x10:=(x1 x01):A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found x00:=(x0 x11):B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found x00:=(x0 x11):B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found x10:=(x1 x00):A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found x00:=(x0 x10):B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found x00:=(x0 x11):B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found (x0 x11) as proof of B
% 154.28/154.53 Found x10:=(x1 x00):A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found x00:=(x0 x10):B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found x10:=(x1 x01):A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found (x1 x01) as proof of A
% 154.28/154.53 Found x10:=(x1 x00):A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 154.28/154.53 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.28/154.53 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 154.28/154.53 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 154.28/154.53 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 154.28/154.53 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 154.28/154.53 Found x00:=(x0 x10):B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found x10:=(x1 x00):A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found x2:(P B)
% 154.28/154.53 Instantiate: b:=B:Prop
% 154.28/154.53 Found x2 as proof of (P0 b)
% 154.28/154.53 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 154.28/154.53 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 154.28/154.53 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 154.28/154.53 Found x10:=(x1 x00):A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found (x1 x00) as proof of A
% 154.28/154.53 Found x00:=(x0 x10):B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found (x0 x10) as proof of B
% 154.28/154.53 Found x2:(P B)
% 154.28/154.53 Instantiate: b:=B:Prop
% 154.28/154.53 Found x2 as proof of (P0 b)
% 154.28/154.53 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 158.04/158.28 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 158.04/158.28 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 158.04/158.28 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 158.04/158.28 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 158.04/158.28 Found x10:=(x1 x00):A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found x00:=(x0 x10):B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found x20:(P b)
% 158.04/158.28 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 158.04/158.28 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 158.04/158.28 Found x20:(P b)
% 158.04/158.28 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 158.04/158.28 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 158.04/158.28 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found x00:=(x0 x10):B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found x10:=(x1 x00):A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found x00:=(x0 x10):B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found x10:=(x1 x00):A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found x10:=(x1 x00):A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found (x1 x00) as proof of A
% 158.04/158.28 Found x00:=(x0 x10):B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found (x0 x10) as proof of B
% 158.04/158.28 Found x10:=(x1 x01):A
% 158.04/158.28 Found (x1 x01) as proof of A
% 158.04/158.28 Found (x1 x01) as proof of A
% 158.04/158.28 Found x10:=(x1 x01):A
% 158.04/158.28 Found (x1 x01) as proof of A
% 158.04/158.28 Found (x1 x01) as proof of A
% 158.04/158.28 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 158.04/158.28 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 158.04/158.28 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 158.04/158.28 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 158.04/158.28 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 158.04/158.28 Found x00:=(x0 x11):B
% 158.04/158.28 Found (x0 x11) as proof of B
% 158.04/158.28 Found (x0 x11) as proof of B
% 158.04/158.28 Found x00:=(x0 x11):B
% 158.04/158.28 Found (x0 x11) as proof of B
% 158.04/158.28 Found (x0 x11) as proof of B
% 158.04/158.28 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 158.04/158.28 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 158.04/158.28 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found x10:=(x1 x01):A
% 158.04/158.28 Found (x1 x01) as proof of A
% 158.04/158.28 Found (x1 x01) as proof of A
% 158.04/158.28 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 158.04/158.28 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 158.04/158.28 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found x20:(P B)
% 158.04/158.28 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 158.04/158.28 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 158.04/158.28 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 158.04/158.28 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 158.04/158.28 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 165.94/166.21 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found x20:(P B)
% 165.94/166.21 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 165.94/166.21 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.94/166.21 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 165.94/166.21 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found x10:=(x1 x00):A
% 165.94/166.21 Found (x1 x00) as proof of A
% 165.94/166.21 Found (x1 x00) as proof of A
% 165.94/166.21 Found x00:=(x0 x10):B
% 165.94/166.21 Found (x0 x10) as proof of B
% 165.94/166.21 Found (x0 x10) as proof of B
% 165.94/166.21 Found x0:(P B)
% 165.94/166.21 Instantiate: a:=B:Prop
% 165.94/166.21 Found x0 as proof of (P0 a)
% 165.94/166.21 Found x00:(P B)
% 165.94/166.21 Found (fun (x00:(P B))=> x00) as proof of (P B)
% 165.94/166.21 Found (fun (x00:(P B))=> x00) as proof of (P0 B)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.94/166.21 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 165.94/166.21 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found x00:(P B)
% 165.94/166.21 Found (fun (x00:(P B))=> x00) as proof of (P B)
% 165.94/166.21 Found (fun (x00:(P B))=> x00) as proof of (P0 B)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.94/166.21 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 165.94/166.21 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found x10:=(x1 x01):A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found x10:=(x1 x01):A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 165.94/166.21 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 165.94/166.21 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 165.94/166.21 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 165.94/166.21 Found x10:=(x1 x01):A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found x10:=(x1 x01):A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found (x1 x01) as proof of A
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found x00:=(x0 x11):B
% 165.94/166.21 Found (x0 x11) as proof of B
% 165.94/166.21 Found (x0 x11) as proof of B
% 172.54/172.80 Found x10:=(x1 x01):A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found x10:=(x1 x01):A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 172.54/172.80 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 172.54/172.80 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 172.54/172.80 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found x2:(P0 b)
% 172.54/172.80 Instantiate: b:=A:Prop
% 172.54/172.80 Found (fun (x2:(P0 b))=> x2) as proof of (P0 A)
% 172.54/172.80 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of ((P0 b)->(P0 A))
% 172.54/172.80 Found (fun (P0:(Prop->Prop)) (x2:(P0 b))=> x2) as proof of (P b)
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 172.54/172.80 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 172.54/172.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.54/172.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.54/172.80 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 172.54/172.80 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 172.54/172.80 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 172.54/172.80 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 172.54/172.80 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 172.54/172.80 Found x10:=(x1 x01):A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found x00:=(x0 x11):B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found x00:=(x0 x11):B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found x10:=(x1 x01):A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found x00:=(x0 x10):B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found (x0 x10) as proof of B
% 172.54/172.80 Found x10:=(x1 x01):A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found x00:=(x0 x11):B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found x10:=(x1 x00):A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found (x1 x00) as proof of A
% 172.54/172.80 Found x00:=(x0 x11):B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found (x0 x11) as proof of B
% 172.54/172.80 Found x10:=(x1 x01):A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found (x1 x01) as proof of A
% 172.54/172.80 Found x20:(P B)
% 172.54/172.80 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 172.54/172.80 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 172.54/172.80 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 172.54/172.80 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 172.54/172.80 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 177.71/177.98 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found x20:(P B)
% 177.71/177.98 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 177.71/177.98 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 177.71/177.98 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 177.71/177.98 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 177.71/177.98 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 177.71/177.98 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x10:(P1 B)
% 177.71/177.98 Found (fun (x10:(P1 B))=> x10) as proof of (P1 B)
% 177.71/177.98 Found (fun (x10:(P1 B))=> x10) as proof of (P2 B)
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x00:=(x0 x10):B
% 177.71/177.98 Found (x0 x10) as proof of B
% 177.71/177.98 Found (x0 x10) as proof of B
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x10:=(x1 x00):A
% 177.71/177.98 Found (x1 x00) as proof of A
% 177.71/177.98 Found (x1 x00) as proof of A
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x20:=(x2 x11):A
% 177.71/177.98 Found (x2 x11) as proof of A
% 177.71/177.98 Found (x2 x11) as proof of A
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x10:=(x1 x21):B
% 177.71/177.98 Found (x1 x21) as proof of B
% 177.71/177.98 Found (x1 x21) as proof of B
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x2:(P B)
% 177.71/177.98 Instantiate: b:=B:Prop
% 177.71/177.98 Found x2 as proof of (P0 b)
% 177.71/177.98 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 177.71/177.98 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 177.71/177.98 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 177.71/177.98 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 177.71/177.98 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 177.71/177.98 Found x10:=(x1 x20):B
% 177.71/177.98 Found (x1 x20) as proof of B
% 177.71/177.98 Found (x1 x20) as proof of B
% 177.71/177.98 Found x20:=(x2 x10):A
% 177.71/177.98 Found (x2 x10) as proof of A
% 177.71/177.98 Found (x2 x10) as proof of A
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x10:=(x1 x01):A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found (x1 x01) as proof of A
% 177.71/177.98 Found x00:=(x0 x11):B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found (x0 x11) as proof of B
% 177.71/177.98 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 177.71/177.98 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 177.71/177.98 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 177.71/177.98 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 177.71/177.98 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 177.71/177.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 177.71/177.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 177.71/177.98 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 177.71/177.98 Found x10:=(x1 x00):A
% 177.71/177.98 Found (x1 x00) as proof of A
% 177.71/177.98 Found (x1 x00) as proof of A
% 177.71/177.98 Found x00:=(x0 x10):B
% 177.71/177.98 Found (x0 x10) as proof of B
% 177.71/177.98 Found (x0 x10) as proof of B
% 177.71/177.98 Found x10:=(x1 x00):A
% 177.71/177.98 Found (x1 x00) as proof of A
% 177.71/177.98 Found (x1 x00) as proof of A
% 177.71/177.98 Found x20:(P A)
% 177.71/177.98 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 177.71/177.98 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 182.15/182.44 Found x20:(P A)
% 182.15/182.44 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 182.15/182.44 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 182.15/182.44 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 182.15/182.44 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found x2:(P B)
% 182.15/182.44 Instantiate: b:=B:Prop
% 182.15/182.44 Found x2 as proof of (P0 b)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 182.15/182.44 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 182.15/182.44 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 182.15/182.44 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 182.15/182.44 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 182.15/182.44 Found x10:=(x1 x00):A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found x00:=(x0 x10):B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found x00:=(x0 x10):B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found x20:(P B)
% 182.15/182.44 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 182.15/182.44 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 182.15/182.44 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 182.15/182.44 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found x10:=(x1 x00):A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found x20:(P B)
% 182.15/182.44 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 182.15/182.44 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 182.15/182.44 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 182.15/182.44 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found x00:=(x0 x10):B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 182.15/182.44 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 182.15/182.44 Found x10:=(x1 x00):A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found x10:=(x1 x00):A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found x00:=(x0 x10):B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found x00:=(x0 x10):B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found x10:=(x1 x00):A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found x10:=(x1 x00):A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found (x1 x00) as proof of A
% 182.15/182.44 Found x00:=(x0 x10):B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found (x0 x10) as proof of B
% 182.15/182.44 Found x00:=(x0 x11):B
% 182.15/182.44 Found (x0 x11) as proof of B
% 182.15/182.44 Found (x0 x11) as proof of B
% 182.15/182.44 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 182.15/182.44 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 182.15/182.44 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 182.15/182.44 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 182.15/182.44 Found x10:=(x1 x01):A
% 182.15/182.44 Found (x1 x01) as proof of A
% 182.15/182.44 Found (x1 x01) as proof of A
% 188.10/188.36 Found x10:=(x1 x01):A
% 188.10/188.36 Found (x1 x01) as proof of A
% 188.10/188.36 Found (x1 x01) as proof of A
% 188.10/188.36 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 188.10/188.36 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 188.10/188.36 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 188.10/188.36 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 188.10/188.36 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 188.10/188.36 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 188.10/188.36 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 188.10/188.36 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 188.10/188.36 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 188.10/188.36 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 188.10/188.36 Found x10:=(x1 x00):A
% 188.10/188.36 Found (x1 x00) as proof of A
% 188.10/188.36 Found (x1 x00) as proof of A
% 188.10/188.36 Found x00:=(x0 x10):B
% 188.10/188.36 Found (x0 x10) as proof of B
% 188.10/188.36 Found (x0 x10) as proof of B
% 188.10/188.36 Found x00:=(x0 x11):B
% 188.10/188.36 Found (x0 x11) as proof of B
% 188.10/188.36 Found (x0 x11) as proof of B
% 188.10/188.36 Found x00:=(x0 x11):B
% 188.10/188.36 Found (x0 x11) as proof of B
% 188.10/188.36 Found (x0 x11) as proof of B
% 188.10/188.36 Found x10:=(x1 x01):A
% 188.10/188.36 Found (x1 x01) as proof of A
% 188.10/188.36 Found (x1 x01) as proof of A
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x00:=(x0 x11):B
% 188.10/188.37 Found (x0 x11) as proof of B
% 188.10/188.37 Found (x0 x11) as proof of B
% 188.10/188.37 Found x10:=(x1 x00):A
% 188.10/188.37 Found (x1 x00) as proof of A
% 188.10/188.37 Found (x1 x00) as proof of A
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x10:=(x1 x00):A
% 188.10/188.37 Found (x1 x00) as proof of A
% 188.10/188.37 Found (x1 x00) as proof of A
% 188.10/188.37 Found x00:=(x0 x10):B
% 188.10/188.37 Found (x0 x10) as proof of B
% 188.10/188.37 Found (x0 x10) as proof of B
% 188.10/188.37 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 188.10/188.37 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 188.10/188.37 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 188.10/188.37 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 188.10/188.37 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 188.10/188.37 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 188.10/188.37 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 188.10/188.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 188.10/188.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 188.10/188.37 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 188.10/188.37 Found x20:=(x2 x10):A
% 188.10/188.37 Found (x2 x10) as proof of A
% 188.10/188.37 Found (x2 x10) as proof of A
% 188.10/188.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 188.10/188.37 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 188.10/188.37 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 188.10/188.37 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 188.10/188.37 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 188.10/188.37 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 188.10/188.37 Found x00:=(x0 x10):B
% 188.10/188.37 Found (x0 x10) as proof of B
% 188.10/188.37 Found (x0 x10) as proof of B
% 188.10/188.37 Found x10:=(x1 x00):A
% 188.10/188.37 Found (x1 x00) as proof of A
% 188.10/188.37 Found (x1 x00) as proof of A
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x00:=(x0 x11):B
% 188.10/188.37 Found (x0 x11) as proof of B
% 188.10/188.37 Found (x0 x11) as proof of B
% 188.10/188.37 Found x00:=(x0 x11):B
% 188.10/188.37 Found (x0 x11) as proof of B
% 188.10/188.37 Found (x0 x11) as proof of B
% 188.10/188.37 Found x20:(P A)
% 188.10/188.37 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 188.10/188.37 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 188.10/188.37 Found x20:(P A)
% 188.10/188.37 Found (fun (x20:(P A))=> x20) as proof of (P A)
% 188.10/188.37 Found (fun (x20:(P A))=> x20) as proof of (P0 A)
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x10:=(x1 x01):A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found (x1 x01) as proof of A
% 188.10/188.37 Found x00:=(x0 x11):B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found x00:=(x0 x11):B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 193.33/193.61 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 193.33/193.61 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 193.33/193.61 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 193.33/193.61 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 193.33/193.61 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 193.33/193.61 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 193.33/193.61 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 193.33/193.61 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found x00:=(x0 x11):B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found x10:=(x1 x01):A
% 193.33/193.61 Found (x1 x01) as proof of A
% 193.33/193.61 Found (x1 x01) as proof of A
% 193.33/193.61 Found x00:=(x0 x11):B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found (x0 x11) as proof of B
% 193.33/193.61 Found x10:=(x1 x01):A
% 193.33/193.61 Found (x1 x01) as proof of A
% 193.33/193.61 Found (x1 x01) as proof of A
% 193.33/193.61 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 193.33/193.61 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 193.33/193.61 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 193.33/193.61 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 193.33/193.61 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 193.33/193.61 Found x10:=(x1 x00):A
% 193.33/193.61 Found (x1 x00) as proof of A
% 193.33/193.61 Found (x1 x00) as proof of A
% 193.33/193.61 Found x00:=(x0 x10):B
% 193.33/193.61 Found (x0 x10) as proof of B
% 193.33/193.61 Found (x0 x10) as proof of B
% 193.33/193.61 Found x10:=(x1 x00):A
% 193.33/193.61 Found (x1 x00) as proof of A
% 193.33/193.61 Found (x1 x00) as proof of A
% 193.33/193.61 Found x00:=(x0 x10):B
% 193.33/193.61 Found (x0 x10) as proof of B
% 193.33/193.61 Found (x0 x10) as proof of B
% 193.33/193.61 Found x00:=(x0 x10):B
% 193.33/193.61 Found (x0 x10) as proof of B
% 193.33/193.61 Found (x0 x10) as proof of B
% 193.33/193.61 Found x10:=(x1 x00):A
% 193.33/193.61 Found (x1 x00) as proof of A
% 193.33/193.61 Found (x1 x00) as proof of A
% 193.33/193.61 Found x00:(P1 b)
% 193.33/193.61 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 193.33/193.61 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 193.33/193.61 Found x00:(P1 b)
% 193.33/193.61 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 193.33/193.61 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 193.33/193.61 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 193.33/193.61 Found x20:(P B)
% 193.33/193.61 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 193.33/193.61 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 193.33/193.61 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 193.33/193.61 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 193.33/193.61 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 193.33/193.61 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 199.88/200.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 199.88/200.19 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 199.88/200.19 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found x20:(P B)
% 199.88/200.19 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 199.88/200.19 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 199.88/200.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 199.88/200.19 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 199.88/200.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 199.88/200.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 199.88/200.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 199.88/200.19 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 199.88/200.19 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 199.88/200.19 Found x20:(P b)
% 199.88/200.19 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 199.88/200.19 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x20:(P b)
% 199.88/200.19 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 199.88/200.19 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x20:=(x2 x11):A
% 199.88/200.19 Found (x2 x11) as proof of A
% 199.88/200.19 Found (x2 x11) as proof of A
% 199.88/200.19 Found x10:=(x1 x21):B
% 199.88/200.19 Found (x1 x21) as proof of B
% 199.88/200.19 Found (x1 x21) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x20:=(x2 x11):A
% 199.88/200.19 Found (x2 x11) as proof of A
% 199.88/200.19 Found (x2 x11) as proof of A
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x00:=(x0 x11):B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found (x0 x11) as proof of B
% 199.88/200.19 Found x10:=(x1 x21):B
% 199.88/200.19 Found (x1 x21) as proof of B
% 199.88/200.19 Found (x1 x21) as proof of B
% 199.88/200.19 Found x10:=(x1 x01):A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found (x1 x01) as proof of A
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x10:=(x1 x00):A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found (x1 x00) as proof of A
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found (x0 x10) as proof of B
% 199.88/200.19 Found x00:=(x0 x10):B
% 199.88/200.19 Found (x0 x10) as proof of B
% 202.77/203.13 Found (x0 x10) as proof of B
% 202.77/203.13 Found x10:=(x1 x00):A
% 202.77/203.13 Found (x1 x00) as proof of A
% 202.77/203.13 Found (x1 x00) as proof of A
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 202.77/203.13 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 202.77/203.13 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 202.77/203.13 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 202.77/203.13 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 202.77/203.13 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 202.77/203.13 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 202.77/203.13 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 202.77/203.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 202.77/203.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 202.77/203.13 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 202.77/203.13 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 202.77/203.13 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 202.77/203.13 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 207.87/208.15 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 207.87/208.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 207.87/208.15 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 207.87/208.15 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x00:=(x0 x10):B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 207.87/208.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found x2:(P2 b)
% 207.87/208.15 Instantiate: b:=A:Prop
% 207.87/208.15 Found (fun (x2:(P2 b))=> x2) as proof of (P2 A)
% 207.87/208.15 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 A))
% 207.87/208.15 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 207.87/208.15 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 207.87/208.15 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 207.87/208.15 Found x2:(P2 b)
% 207.87/208.15 Instantiate: b:=A:Prop
% 207.87/208.15 Found (fun (x2:(P2 b))=> x2) as proof of (P2 A)
% 207.87/208.15 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 A))
% 207.87/208.15 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x00:=(x0 x10):B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found x10:=(x1 x20):B
% 207.87/208.15 Found (x1 x20) as proof of B
% 207.87/208.15 Found (x1 x20) as proof of B
% 207.87/208.15 Found x20:=(x2 x10):A
% 207.87/208.15 Found (x2 x10) as proof of A
% 207.87/208.15 Found (x2 x10) as proof of A
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x00:=(x0 x10):B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found x10:=(x1 x01):A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found x10:=(x1 x01):A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found x00:=(x0 x10):B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found x20:(P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 207.87/208.15 Found x20:(P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 207.87/208.15 Found x00:=(x0 x10):B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found x10:=(x1 x01):A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x10:=(x1 x00):A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found (x1 x00) as proof of A
% 207.87/208.15 Found x00:=(x0 x10):B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found (x0 x10) as proof of B
% 207.87/208.15 Found x10:=(x1 x01):A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found x00:=(x0 x11):B
% 207.87/208.15 Found (x0 x11) as proof of B
% 207.87/208.15 Found (x0 x11) as proof of B
% 207.87/208.15 Found x20:(P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 207.87/208.15 Found x00:=(x0 x11):B
% 207.87/208.15 Found (x0 x11) as proof of B
% 207.87/208.15 Found (x0 x11) as proof of B
% 207.87/208.15 Found x20:(P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 207.87/208.15 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 207.87/208.15 Found x10:=(x1 x01):A
% 207.87/208.15 Found (x1 x01) as proof of A
% 207.87/208.15 Found (x1 x01) as proof of A
% 217.01/217.35 Found x10:=(x1 x01):A
% 217.01/217.35 Found (x1 x01) as proof of A
% 217.01/217.35 Found (x1 x01) as proof of A
% 217.01/217.35 Found x00:=(x0 x11):B
% 217.01/217.35 Found (x0 x11) as proof of B
% 217.01/217.35 Found (x0 x11) as proof of B
% 217.01/217.35 Found x00:=(x0 x11):B
% 217.01/217.35 Found (x0 x11) as proof of B
% 217.01/217.35 Found (x0 x11) as proof of B
% 217.01/217.35 Found x10:=(x1 x01):A
% 217.01/217.35 Found (x1 x01) as proof of A
% 217.01/217.35 Found (x1 x01) as proof of A
% 217.01/217.35 Found x10:=(x1 x00):A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found x10:=(x1 x01):A
% 217.01/217.35 Found (x1 x01) as proof of A
% 217.01/217.35 Found (x1 x01) as proof of A
% 217.01/217.35 Found x00:(P B)
% 217.01/217.35 Found (fun (x00:(P B))=> x00) as proof of (P B)
% 217.01/217.35 Found (fun (x00:(P B))=> x00) as proof of (P0 B)
% 217.01/217.35 Found x00:(P b)
% 217.01/217.35 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 217.01/217.35 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 217.01/217.35 Found x20:=(x2 x11):A
% 217.01/217.35 Found (x2 x11) as proof of A
% 217.01/217.35 Found (x2 x11) as proof of A
% 217.01/217.35 Found x00:(P b)
% 217.01/217.35 Found (fun (x00:(P b))=> x00) as proof of (P b)
% 217.01/217.35 Found (fun (x00:(P b))=> x00) as proof of (P0 b)
% 217.01/217.35 Found x00:=(x0 x10):B
% 217.01/217.35 Found (x0 x10) as proof of B
% 217.01/217.35 Found (x0 x10) as proof of B
% 217.01/217.35 Found x10:=(x1 x00):A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found x20:=(x2 x11):A
% 217.01/217.35 Found (x2 x11) as proof of A
% 217.01/217.35 Found (x2 x11) as proof of A
% 217.01/217.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 217.01/217.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found x0:(P0 b0)
% 217.01/217.35 Instantiate: b0:=A:Prop
% 217.01/217.35 Found (fun (x0:(P0 b0))=> x0) as proof of (P0 b)
% 217.01/217.35 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of ((P0 b0)->(P0 b))
% 217.01/217.35 Found (fun (P0:(Prop->Prop)) (x0:(P0 b0))=> x0) as proof of (P b0)
% 217.01/217.35 Found x00:=(x0 x10):B
% 217.01/217.35 Found (x0 x10) as proof of B
% 217.01/217.35 Found (x0 x10) as proof of B
% 217.01/217.35 Found x10:=(x1 x00):A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 217.01/217.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 217.01/217.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 217.01/217.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.01/217.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.01/217.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 217.01/217.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 217.01/217.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 217.01/217.35 Found x20:(P B)
% 217.01/217.35 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 217.01/217.35 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 217.01/217.35 Found x20:=(x2 x10):A
% 217.01/217.35 Found (x2 x10) as proof of A
% 217.01/217.35 Found (x2 x10) as proof of A
% 217.01/217.35 Found x20:(P B)
% 217.01/217.35 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 217.01/217.35 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 217.01/217.35 Found x2:(P1 B)
% 217.01/217.35 Instantiate: b:=B:Prop
% 217.01/217.35 Found x2 as proof of (P2 b)
% 217.01/217.35 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 217.01/217.35 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found x2:(P1 B)
% 217.01/217.35 Instantiate: b:=B:Prop
% 217.01/217.35 Found x2 as proof of (P2 b)
% 217.01/217.35 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 217.01/217.35 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 217.01/217.35 Found x20:=(x2 x10):A
% 217.01/217.35 Found (x2 x10) as proof of A
% 217.01/217.35 Found (x2 x10) as proof of A
% 217.01/217.35 Found x10:=(x1 x20):B
% 217.01/217.35 Found (x1 x20) as proof of B
% 217.01/217.35 Found (x1 x20) as proof of B
% 217.01/217.35 Found x2:(P b)
% 217.01/217.35 Instantiate: b0:=b:Prop
% 217.01/217.35 Found x2 as proof of (P0 b0)
% 217.01/217.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 217.01/217.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 217.01/217.35 Found x10:=(x1 x00):A
% 217.01/217.35 Found (x1 x00) as proof of A
% 217.01/217.35 Found (x1 x00) as proof of A
% 221.68/222.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 221.68/222.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 221.68/222.01 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 221.68/222.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 221.68/222.01 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found x00:=(x0 x10):B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 221.68/222.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found x00:=(x0 x10):B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found x00:=(x0 x10):B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found x00:=(x0 x10):B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found x00:=(x0 x10):B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found x0:(P B)
% 221.68/222.01 Instantiate: b0:=B:Prop
% 221.68/222.01 Found x0 as proof of (P0 b0)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 221.68/222.01 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 221.68/222.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 221.68/222.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 221.68/222.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 221.68/222.01 Found x10:=(x1 x00):A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found (x1 x00) as proof of A
% 221.68/222.01 Found x00:=(x0 x10):B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found (x0 x10) as proof of B
% 221.68/222.01 Found x0:(P b)
% 221.68/222.01 Instantiate: b0:=b:Prop
% 221.68/222.01 Found x0 as proof of (P0 b0)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 221.68/222.01 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 221.68/222.01 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 221.68/222.01 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 221.68/222.01 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 221.68/222.01 Found x00:(P1 B)
% 221.68/222.01 Found (fun (x00:(P1 B))=> x00) as proof of (P1 B)
% 221.68/222.01 Found (fun (x00:(P1 B))=> x00) as proof of (P2 B)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 221.68/222.01 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 221.68/222.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 221.68/222.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 221.68/222.01 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 221.68/222.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found x00:(P1 B)
% 221.68/222.01 Found (fun (x00:(P1 B))=> x00) as proof of (P1 B)
% 221.68/222.01 Found (fun (x00:(P1 B))=> x00) as proof of (P2 B)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 221.68/222.01 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 221.68/222.01 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 221.68/222.01 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x00:=(x0 x10):B
% 227.22/227.53 Found (x0 x10) as proof of B
% 227.22/227.53 Found (x0 x10) as proof of B
% 227.22/227.53 Found x10:=(x1 x00):A
% 227.22/227.53 Found (x1 x00) as proof of A
% 227.22/227.53 Found (x1 x00) as proof of A
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 227.22/227.53 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 227.22/227.53 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 227.22/227.53 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 227.22/227.53 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 227.22/227.53 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found x00:=(x0 x11):B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found (x0 x11) as proof of B
% 227.22/227.53 Found x10:=(x1 x01):A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found (x1 x01) as proof of A
% 227.22/227.53 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 227.22/227.53 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 227.22/227.53 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 227.22/227.53 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 227.22/227.53 Found x00:=(x0 x10):B
% 227.22/227.53 Found (x0 x10) as proof of B
% 227.22/227.53 Found (x0 x10) as proof of B
% 227.22/227.53 Found x10:=(x1 x00):A
% 227.22/227.53 Found (x1 x00) as proof of A
% 227.22/227.53 Found (x1 x00) as proof of A
% 227.22/227.53 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 227.22/227.53 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 227.22/227.53 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 227.22/227.53 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 227.22/227.53 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 227.22/227.53 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 235.87/236.19 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 235.87/236.19 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 235.87/236.19 Found x20:(P B)
% 235.87/236.19 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 235.87/236.19 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 235.87/236.19 Found x20:(P B)
% 235.87/236.19 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 235.87/236.19 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 235.87/236.19 Found x20:=(x2 x10):A
% 235.87/236.19 Found (x2 x10) as proof of A
% 235.87/236.19 Found (x2 x10) as proof of A
% 235.87/236.19 Found x10:=(x1 x20):B
% 235.87/236.19 Found (x1 x20) as proof of B
% 235.87/236.19 Found (x1 x20) as proof of B
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x10:=(x1 x20):B
% 235.87/236.19 Found (x1 x20) as proof of B
% 235.87/236.19 Found (x1 x20) as proof of B
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x20:=(x2 x10):A
% 235.87/236.19 Found (x2 x10) as proof of A
% 235.87/236.19 Found (x2 x10) as proof of A
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x20:(P b)
% 235.87/236.19 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 235.87/236.19 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x2:(P B)
% 235.87/236.19 Instantiate: a:=B:Prop
% 235.87/236.19 Found x2 as proof of (P0 a)
% 235.87/236.19 Found x30:=(x3 x20):A
% 235.87/236.19 Found (x3 x20) as proof of A
% 235.87/236.19 Found (x3 x20) as proof of A
% 235.87/236.19 Found x20:=(x2 x30):B
% 235.87/236.19 Found (x2 x30) as proof of B
% 235.87/236.19 Found (x2 x30) as proof of B
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x10:=(x1 x00):A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found (x1 x00) as proof of A
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x00:=(x0 x11):B
% 235.87/236.19 Found (x0 x11) as proof of B
% 235.87/236.19 Found (x0 x11) as proof of B
% 235.87/236.19 Found x10:=(x1 x01):A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found (x1 x01) as proof of A
% 235.87/236.19 Found x00:=(x0 x11):B
% 235.87/236.19 Found (x0 x11) as proof of B
% 235.87/236.19 Found (x0 x11) as proof of B
% 235.87/236.19 Found x00:=(x0 x10):B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found (x0 x10) as proof of B
% 235.87/236.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 235.87/236.19 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 235.87/236.19 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 235.87/236.19 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 235.87/236.19 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 235.87/236.19 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 235.87/236.19 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 235.87/236.19 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found x10:=(x1 x00):A
% 239.96/240.27 Found (x1 x00) as proof of A
% 239.96/240.27 Found (x1 x00) as proof of A
% 239.96/240.27 Found x20:=(x2 x10):A
% 239.96/240.27 Found (x2 x10) as proof of A
% 239.96/240.27 Found (x2 x10) as proof of A
% 239.96/240.27 Found x10:=(x1 x20):B
% 239.96/240.27 Found (x1 x20) as proof of B
% 239.96/240.27 Found (x1 x20) as proof of B
% 239.96/240.27 Found x10:=(x1 x20):B
% 239.96/240.27 Found (x1 x20) as proof of B
% 239.96/240.27 Found (x1 x20) as proof of B
% 239.96/240.27 Found x20:=(x2 x10):A
% 239.96/240.27 Found (x2 x10) as proof of A
% 239.96/240.27 Found (x2 x10) as proof of A
% 239.96/240.27 Found x20:(P b)
% 239.96/240.27 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 239.96/240.27 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 239.96/240.27 Found x20:(P B)
% 239.96/240.27 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 239.96/240.27 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 239.96/240.27 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 239.96/240.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found x20:(P B)
% 239.96/240.27 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 239.96/240.27 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 239.96/240.27 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 239.96/240.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 239.96/240.27 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 239.96/240.27 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 239.96/240.27 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.96/240.27 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 239.96/240.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 239.96/240.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.96/240.27 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 239.96/240.27 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 239.96/240.27 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 239.96/240.27 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 239.96/240.27 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found x10:=(x1 x00):A
% 244.63/244.93 Found (x1 x00) as proof of A
% 244.63/244.93 Found (x1 x00) as proof of A
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found x2:(P2 b)
% 244.63/244.93 Instantiate: b:=A:Prop
% 244.63/244.93 Found (fun (x2:(P2 b))=> x2) as proof of (P2 A)
% 244.63/244.93 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 A))
% 244.63/244.93 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.63/244.93 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found x2:(P2 b)
% 244.63/244.93 Instantiate: b:=A:Prop
% 244.63/244.93 Found (fun (x2:(P2 b))=> x2) as proof of (P2 A)
% 244.63/244.93 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of ((P2 b)->(P2 A))
% 244.63/244.93 Found (fun (P2:(Prop->Prop)) (x2:(P2 b))=> x2) as proof of (P1 b)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.63/244.93 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.63/244.93 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 244.63/244.93 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found x20:=(x2 x10):A
% 244.63/244.93 Found (x2 x10) as proof of A
% 244.63/244.93 Found (x2 x10) as proof of A
% 244.63/244.93 Found x20:(P b)
% 244.63/244.93 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 244.63/244.93 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 244.63/244.93 Found x20:(P b)
% 244.63/244.93 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 244.63/244.93 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 244.63/244.93 Found x2:(P b)
% 244.63/244.93 Instantiate: b0:=b:Prop
% 244.63/244.93 Found x2 as proof of (P0 b0)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 244.63/244.93 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 244.63/244.93 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 244.63/244.93 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 251.29/251.60 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 251.29/251.60 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 251.29/251.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 251.29/251.60 Found x10:=(x1 x00):A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found x00:=(x0 x10):B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found x10:=(x1 x00):A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found x10:=(x1 x00):A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found x20:=(x2 x10):A
% 251.29/251.60 Found (x2 x10) as proof of A
% 251.29/251.60 Found (x2 x10) as proof of A
% 251.29/251.60 Found x10:=(x1 x20):B
% 251.29/251.60 Found (x1 x20) as proof of B
% 251.29/251.60 Found (x1 x20) as proof of B
% 251.29/251.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 251.29/251.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 251.29/251.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 251.29/251.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 251.29/251.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found x00:=(x0 x10):B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found x10:=(x1 x00):A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found x10:=(x1 x00):A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found x00:=(x0 x10):B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 251.29/251.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 251.29/251.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 251.29/251.60 Found x30:=(x3 x20):A
% 251.29/251.60 Found (x3 x20) as proof of A
% 251.29/251.60 Found (x3 x20) as proof of A
% 251.29/251.60 Found x10:=(x1 x00):A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found (x1 x00) as proof of A
% 251.29/251.60 Found x00:=(x0 x10):B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found (x0 x10) as proof of B
% 251.29/251.60 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 251.29/251.60 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 251.29/251.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 251.29/251.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 251.29/251.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 251.29/251.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 251.29/251.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 251.29/251.60 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 251.29/251.60 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 251.29/251.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 251.29/251.60 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 255.18/255.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found x20:=(x2 x10):A
% 255.18/255.48 Found (x2 x10) as proof of A
% 255.18/255.48 Found (x2 x10) as proof of A
% 255.18/255.48 Found x10:=(x1 x00):A
% 255.18/255.48 Found (x1 x00) as proof of A
% 255.18/255.48 Found (x1 x00) as proof of A
% 255.18/255.48 Found x20:=(x2 x10):A
% 255.18/255.48 Found (x2 x10) as proof of A
% 255.18/255.48 Found (x2 x10) as proof of A
% 255.18/255.48 Found x00:=(x0 x10):B
% 255.18/255.48 Found (x0 x10) as proof of B
% 255.18/255.48 Found (x0 x10) as proof of B
% 255.18/255.48 Found x10:=(x1 x01):A
% 255.18/255.48 Found (x1 x01) as proof of A
% 255.18/255.48 Found (x1 x01) as proof of A
% 255.18/255.48 Found x00:=(x0 x11):B
% 255.18/255.48 Found (x0 x11) as proof of B
% 255.18/255.48 Found (x0 x11) as proof of B
% 255.18/255.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 255.18/255.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 255.18/255.48 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 255.18/255.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 255.18/255.48 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 255.18/255.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 255.18/255.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 255.18/255.48 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 255.18/255.48 Found x00:=(x0 x10):B
% 255.18/255.48 Found (x0 x10) as proof of B
% 255.18/255.48 Found (x0 x10) as proof of B
% 255.18/255.48 Found x10:=(x1 x00):A
% 255.18/255.48 Found (x1 x00) as proof of A
% 255.18/255.48 Found (x1 x00) as proof of A
% 255.18/255.48 Found x10:=(x1 x01):A
% 255.18/255.48 Found (x1 x01) as proof of A
% 255.18/255.48 Found (x1 x01) as proof of A
% 255.18/255.48 Found x2:(P1 B)
% 255.18/255.48 Instantiate: b:=B:Prop
% 255.18/255.48 Found x2 as proof of (P2 b)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 255.18/255.48 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found x2:(P1 B)
% 255.18/255.48 Instantiate: b:=B:Prop
% 255.18/255.48 Found x2 as proof of (P2 b)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 255.18/255.48 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 255.18/255.48 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 255.18/255.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 255.18/255.48 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 255.18/255.48 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 255.18/255.48 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 255.18/255.48 Found x10:=(x1 x01):A
% 255.18/255.48 Found (x1 x01) as proof of A
% 255.18/255.48 Found (x1 x01) as proof of A
% 255.18/255.48 Found x00:=(x0 x11):B
% 255.18/255.48 Found (x0 x11) as proof of B
% 255.18/255.48 Found (x0 x11) as proof of B
% 255.18/255.48 Found x00:=(x0 x11):B
% 255.18/255.48 Found (x0 x11) as proof of B
% 255.18/255.48 Found (x0 x11) as proof of B
% 255.18/255.48 Found x30:(P1 B)
% 259.07/259.35 Found (fun (x30:(P1 B))=> x30) as proof of (P1 B)
% 259.07/259.35 Found (fun (x30:(P1 B))=> x30) as proof of (P2 B)
% 259.07/259.35 Found x2:(P b)
% 259.07/259.35 Found x2 as proof of (P0 A)
% 259.07/259.35 Found x00:=(x0 x11):B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found x10:=(x1 x01):A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 259.07/259.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.07/259.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 259.07/259.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.07/259.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 259.07/259.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.07/259.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 259.07/259.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.07/259.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 259.07/259.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 259.07/259.35 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 259.07/259.35 Found x10:=(x1 x00):A
% 259.07/259.35 Found (x1 x00) as proof of A
% 259.07/259.35 Found (x1 x00) as proof of A
% 259.07/259.35 Found x10:=(x1 x01):A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found x00:=(x0 x11):B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found x00:=(x0 x10):B
% 259.07/259.35 Found (x0 x10) as proof of B
% 259.07/259.35 Found (x0 x10) as proof of B
% 259.07/259.35 Found x10:=(x1 x01):A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found x00:=(x0 x11):B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found x10:=(x1 x00):A
% 259.07/259.35 Found (x1 x00) as proof of A
% 259.07/259.35 Found (x1 x00) as proof of A
% 259.07/259.35 Found x00:=(x0 x10):B
% 259.07/259.35 Found (x0 x10) as proof of B
% 259.07/259.35 Found (x0 x10) as proof of B
% 259.07/259.35 Found x10:=(x1 x01):A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found (x1 x01) as proof of A
% 259.07/259.35 Found x00:=(x0 x11):B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found (x0 x11) as proof of B
% 259.07/259.35 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 259.07/259.35 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 259.07/259.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 259.07/259.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 259.07/259.35 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 259.07/259.35 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 259.07/259.35 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 259.07/259.35 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 262.19/262.51 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 262.19/262.51 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 262.19/262.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 262.19/262.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 262.19/262.51 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 262.19/262.51 Found x10:=(x1 x01):A
% 262.19/262.51 Found (x1 x01) as proof of A
% 262.19/262.51 Found (x1 x01) as proof of A
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.19/262.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 262.19/262.51 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 262.19/262.51 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.19/262.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found x00:=(x0 x11):B
% 262.19/262.51 Found (x0 x11) as proof of B
% 262.19/262.51 Found (x0 x11) as proof of B
% 262.19/262.51 Found x10:=(x1 x00):A
% 262.19/262.51 Found (x1 x00) as proof of A
% 262.19/262.51 Found (x1 x00) as proof of A
% 262.19/262.51 Found x00:=(x0 x10):B
% 262.19/262.51 Found (x0 x10) as proof of B
% 262.19/262.51 Found (x0 x10) as proof of B
% 262.19/262.51 Found x2:(P B)
% 262.19/262.51 Instantiate: a:=B:Prop
% 262.19/262.51 Found x2 as proof of (P0 a)
% 262.19/262.51 Found x20:(P b)
% 262.19/262.51 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 262.19/262.51 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 262.19/262.51 Found x20:(P b)
% 262.19/262.51 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 262.19/262.51 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 262.19/262.51 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.19/262.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 262.19/262.51 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.19/262.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 262.19/262.51 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.19/262.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 262.19/262.51 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 262.19/262.51 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 262.19/262.51 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 267.19/267.54 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 267.19/267.54 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 267.19/267.54 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 267.19/267.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 267.19/267.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 267.19/267.54 Found x10:=(x1 x01):A
% 267.19/267.54 Found (x1 x01) as proof of A
% 267.19/267.54 Found (x1 x01) as proof of A
% 267.19/267.54 Found x10:=(x1 x01):A
% 267.19/267.54 Found (x1 x01) as proof of A
% 267.19/267.54 Found (x1 x01) as proof of A
% 267.19/267.54 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 267.19/267.54 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 267.19/267.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found x0:(P b)
% 267.19/267.54 Found x0 as proof of (P0 A)
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x10:=(x1 x20):B
% 267.19/267.54 Found (x1 x20) as proof of B
% 267.19/267.54 Found (x1 x20) as proof of B
% 267.19/267.54 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 267.19/267.54 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 267.19/267.54 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 267.19/267.54 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 267.19/267.54 Found x20:=(x2 x10):A
% 267.19/267.54 Found (x2 x10) as proof of A
% 267.19/267.54 Found (x2 x10) as proof of A
% 267.19/267.54 Found x00:=(x0 x11):B
% 267.19/267.54 Found (x0 x11) as proof of B
% 267.19/267.54 Found (x0 x11) as proof of B
% 267.19/267.54 Found x10:=(x1 x01):A
% 267.19/267.54 Found (x1 x01) as proof of A
% 267.19/267.54 Found (x1 x01) as proof of A
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x10:=(x1 x00):A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found (x1 x00) as proof of A
% 267.19/267.54 Found x00:=(x0 x10):B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found (x0 x10) as proof of B
% 267.19/267.54 Found x20:(P B)
% 267.19/267.54 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 267.19/267.54 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 267.19/267.54 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 267.19/267.54 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 267.19/267.54 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 273.87/274.18 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 273.87/274.18 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 273.87/274.18 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 273.87/274.18 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 273.87/274.18 Found x10:=(x1 x00):A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found x00:=(x0 x11):B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found x10:=(x1 x01):A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found x00:=(x0 x10):B
% 273.87/274.18 Found (x0 x10) as proof of B
% 273.87/274.18 Found (x0 x10) as proof of B
% 273.87/274.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 273.87/274.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 273.87/274.18 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 273.87/274.18 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 273.87/274.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found x10:=(x1 x00):A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found x00:=(x0 x10):B
% 273.87/274.18 Found (x0 x10) as proof of B
% 273.87/274.18 Found (x0 x10) as proof of B
% 273.87/274.18 Found x10:=(x1 x00):A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found x20:(P B)
% 273.87/274.18 Found (fun (x20:(P B))=> x20) as proof of (P B)
% 273.87/274.18 Found (fun (x20:(P B))=> x20) as proof of (P0 B)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 273.87/274.18 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 273.87/274.18 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 273.87/274.18 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 273.87/274.18 Found x00:=(x0 x11):B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found x10:=(x1 x01):A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found x10:=(x1 x01):A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found x20:(P b)
% 273.87/274.18 Found (fun (x20:(P b))=> x20) as proof of (P b)
% 273.87/274.18 Found (fun (x20:(P b))=> x20) as proof of (P0 b)
% 273.87/274.18 Found x00:=(x0 x11):B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found x10:=(x1 x01):A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found x00:=(x0 x11):B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found (x0 x11) as proof of B
% 273.87/274.18 Found x00:=(x0 x10):B
% 273.87/274.18 Found (x0 x10) as proof of B
% 273.87/274.18 Found (x0 x10) as proof of B
% 273.87/274.18 Found x10:=(x1 x00):A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found (x1 x00) as proof of A
% 273.87/274.18 Found x10:=(x1 x01):A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found (x1 x01) as proof of A
% 273.87/274.18 Found x00:=(x0 x11):B
% 281.38/281.69 Found (x0 x11) as proof of B
% 281.38/281.69 Found (x0 x11) as proof of B
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x00:=(x0 x10):B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 281.38/281.69 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 281.38/281.69 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 281.38/281.69 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 281.38/281.69 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found x20:=(x2 x10):A
% 281.38/281.69 Found (x2 x10) as proof of A
% 281.38/281.69 Found (x2 x10) as proof of A
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x00:=(x0 x10):B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found x00:=(x0 x10):B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 281.38/281.69 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 281.38/281.69 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 281.38/281.69 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 281.38/281.69 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x00:=(x0 x10):B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found x2:(P B)
% 281.38/281.69 Instantiate: b:=B:Prop
% 281.38/281.69 Found x2 as proof of (P0 b)
% 281.38/281.69 Found x2:(P B)
% 281.38/281.69 Instantiate: b:=B:Prop
% 281.38/281.69 Found x2 as proof of (P0 b)
% 281.38/281.69 Found x10:=(x1 x00):A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found (x1 x00) as proof of A
% 281.38/281.69 Found x00:=(x0 x10):B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found (x0 x10) as proof of B
% 281.38/281.69 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 281.38/281.69 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 281.38/281.69 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 281.38/281.69 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 281.38/281.69 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 281.38/281.69 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 281.38/281.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 281.38/281.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 281.38/281.69 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 281.38/281.69 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 281.38/281.69 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 281.38/281.69 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 285.13/285.43 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 285.13/285.43 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found x00:=(x0 x11):B
% 285.13/285.43 Found (x0 x11) as proof of B
% 285.13/285.43 Found (x0 x11) as proof of B
% 285.13/285.43 Found x10:=(x1 x01):A
% 285.13/285.43 Found (x1 x01) as proof of A
% 285.13/285.43 Found (x1 x01) as proof of A
% 285.13/285.43 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 285.13/285.43 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 285.13/285.43 Found x20:(P1 b)
% 285.13/285.43 Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% 285.13/285.43 Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% 285.13/285.43 Found x20:(P1 b)
% 285.13/285.43 Found (fun (x20:(P1 b))=> x20) as proof of (P1 b)
% 285.13/285.43 Found (fun (x20:(P1 b))=> x20) as proof of (P2 b)
% 285.13/285.43 Found x00:=(x0 x10):B
% 285.13/285.43 Found (x0 x10) as proof of B
% 285.13/285.43 Found (x0 x10) as proof of B
% 285.13/285.43 Found x10:=(x1 x00):A
% 285.13/285.43 Found (x1 x00) as proof of A
% 285.13/285.43 Found (x1 x00) as proof of A
% 285.13/285.43 Found x00:=(x0 x11):B
% 285.13/285.43 Found (x0 x11) as proof of B
% 285.13/285.43 Found (x0 x11) as proof of B
% 285.13/285.43 Found x10:=(x1 x01):A
% 285.13/285.43 Found (x1 x01) as proof of A
% 285.13/285.43 Found (x1 x01) as proof of A
% 285.13/285.43 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 285.13/285.43 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 285.13/285.43 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 285.13/285.43 Found x10:=(x1 x01):A
% 285.13/285.43 Found (x1 x01) as proof of A
% 285.13/285.43 Found (x1 x01) as proof of A
% 285.13/285.43 Found x00:=(x0 x11):B
% 285.13/285.43 Found (x0 x11) as proof of B
% 285.13/285.43 Found (x0 x11) as proof of B
% 285.13/285.43 Found x00:(P1 B)
% 285.13/285.43 Found (fun (x00:(P1 B))=> x00) as proof of (P1 B)
% 285.13/285.43 Found (fun (x00:(P1 B))=> x00) as proof of (P2 B)
% 285.13/285.43 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 285.13/285.43 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 285.13/285.43 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 287.73/288.11 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 287.73/288.11 Found (eq_ref0 A) as proof of (((eq Prop) A) b0)
% 287.73/288.11 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 287.73/288.11 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 287.73/288.11 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b0)
% 287.73/288.11 Found x00:(P1 B)
% 287.73/288.11 Found (fun (x00:(P1 B))=> x00) as proof of (P1 B)
% 287.73/288.11 Found (fun (x00:(P1 B))=> x00) as proof of (P2 B)
% 287.73/288.11 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 287.73/288.11 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 287.73/288.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 287.73/288.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 287.73/288.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 287.73/288.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 287.73/288.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found x00:(P1 B)
% 287.73/288.11 Found (fun (x00:(P1 B))=> x00) as proof of (P1 B)
% 287.73/288.11 Found (fun (x00:(P1 B))=> x00) as proof of (P2 B)
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x10:=(x1 x01):A
% 287.73/288.11 Found (x1 x01) as proof of A
% 287.73/288.11 Found (x1 x01) as proof of A
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x00:=(x0 x11):B
% 287.73/288.11 Found (x0 x11) as proof of B
% 287.73/288.11 Found (x0 x11) as proof of B
% 287.73/288.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 287.73/288.11 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 287.73/288.11 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 287.73/288.11 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 287.73/288.11 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 287.73/288.11 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 287.73/288.11 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 287.73/288.11 Found x00:(P1 b)
% 287.73/288.11 Found (fun (x00:(P1 b))=> x00) as proof of (P1 b)
% 287.73/288.11 Found (fun (x00:(P1 b))=> x00) as proof of (P2 b)
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x10:=(x1 x01):A
% 287.73/288.11 Found (x1 x01) as proof of A
% 287.73/288.11 Found (x1 x01) as proof of A
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x00:=(x0 x11):B
% 287.73/288.11 Found (x0 x11) as proof of B
% 287.73/288.11 Found (x0 x11) as proof of B
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 287.73/288.11 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 287.73/288.11 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 287.73/288.11 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 287.73/288.11 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 287.73/288.11 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 287.73/288.11 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 287.73/288.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 287.73/288.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 287.73/288.11 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found x00:=(x0 x10):B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found (x0 x10) as proof of B
% 287.73/288.11 Found x10:=(x1 x00):A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found (x1 x00) as proof of A
% 287.73/288.11 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 287.73/288.11 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 287.73/288.11 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 290.96/291.29 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 290.96/291.29 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.96/291.29 Found (eq_ref0 b) as proof of (((eq Prop) b) b0)
% 290.96/291.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 290.96/291.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 290.96/291.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) b0)
% 290.96/291.29 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 290.96/291.29 Found (eq_ref0 b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) B)
% 290.96/291.29 Found x00:=(x0 x10):B
% 290.96/291.29 Found (x0 x10) as proof of B
% 290.96/291.29 Found (x0 x10) as proof of B
% 290.96/291.29 Found x00:=(x0 x11):B
% 290.96/291.29 Found (x0 x11) as proof of B
% 290.96/291.29 Found (x0 x11) as proof of B
% 290.96/291.29 Found x10:=(x1 x01):A
% 290.96/291.29 Found (x1 x01) as proof of A
% 290.96/291.29 Found (x1 x01) as proof of A
% 290.96/291.29 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 290.96/291.29 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found eq_ref00:=(eq_ref0 A):(((eq Prop) A) A)
% 290.96/291.29 Found (eq_ref0 A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found ((eq_ref Prop) A) as proof of (((eq Prop) A) b)
% 290.96/291.29 Found x10:=(x1 x00):A
% 290.96/291.29 Found (x1 x00) as proof of A
% 290.96/291.29 Found (x1 x00) as proof of A
% 290.96/291.29 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.96/291.29 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 290.96/291.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.29 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.29 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 290.96/291.29 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 290.96/291.29 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.96/291.30 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 290.96/291.30 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found x00:=(x0 x10):B
% 290.96/291.30 Found (x0 x10) as proof of B
% 290.96/291.30 Found (x0 x10) as proof of B
% 290.96/291.30 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 290.96/291.30 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 290.96/291.30 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 290.96/291.30 Found (eq_ref0 b0) as proof of (((eq Prop) b0) A)
% 290.96/291.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 290.96/291.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 290.96/291.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) A)
% 290.96/291.30 Found x00:=(x0 x10):B
% 290.96/291.30 Found (x0 x10) as proof of B
% 290.96/291.30 Found (x0 x10) as proof of B
% 290.96/291.30 Found x10:=(x1 x00):A
% 290.96/291.30 Found (x1 x00) as proof of A
% 290.96/291.30 Found (x1 x00) as proof of A
% 290.96/291.30 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 290.96/291.30 Found (eq_ref0 B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b)
% 290.96/291.30 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 290.96/291.30 Found (eq_ref0 b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) A)
% 290.96/291.30 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 290.96/291.30 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 290.96/291.30 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 296.26/296.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found eq_ref00:=(eq_ref0 b0):(((eq Prop) b0) b0)
% 296.26/296.60 Found (eq_ref0 b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found ((eq_ref Prop) b0) as proof of (((eq Prop) b0) b)
% 296.26/296.60 Found eq_ref00:=(eq_ref0 B):(((eq Prop) B) B)
% 296.26/296.60 Found (eq_ref0 B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found ((eq_ref Prop) B) as proof of (((eq Prop) B) b0)
% 296.26/296.60 Found x10:=(x1 x01):A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found (x1 x01) as proof of A
% 296.26/296.60 Found x10:=(x1 x00):A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found (x1 x00) as proof of A
% 296.26/296.60 Found x00:=(x0 x10):B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found (x0 x10) as proof of B
% 296.26/296.60 Found x00:=(x0 x11):B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found (x0 x11) as proof of B
% 296.26/296.60 Found x2:(P B)
% 296.26/296.60 Instantiate: b:=B:Prop
% 296.26/296.60 Found x2 as proof of (P0 b)
% 296.26/296.60 Found x20:=(x2 x10):A
% 296.26/296.60 Found (x2 x10) as proof of A
% 296.26/296.60 Found (x2 x10) as proof of A
% 296.26/296.60 Found x10:=(x1 x20):B
% 296.26/296.60 Found (x1 x20) as proof of B
% 296.26/296.60 Found (x1 x20) as proof of B
% 296.26/296.60 Found x2:(P B)
% 296.26/296.60 Instantiate: b:=B:Prop
% 296.26/296.60 Found x2 as
%------------------------------------------------------------------------------