TSTP Solution File: SYO334^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO334^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:11 EDT 2022
% Result : Timeout 298.16s 298.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO334^5 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % RAMPerCPU : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % DateTime : Sat Mar 12 04:39:01 EST 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 3.27/3.42 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 3.27/3.42 FOF formula (<kernel.Constant object at 0x1d8aea8>, <kernel.Type object at 0x1d8acb0>) of role type named c_type
% 3.27/3.42 Using role type
% 3.27/3.42 Declaring c:Type
% 3.27/3.42 FOF formula (<kernel.Constant object at 0x1aedef0>, <kernel.Type object at 0x1d8aef0>) of role type named b_type
% 3.27/3.42 Using role type
% 3.27/3.42 Declaring b:Type
% 3.27/3.42 FOF formula (<kernel.Constant object at 0x1d8af38>, <kernel.Type object at 0x1d8afc8>) of role type named a_type
% 3.27/3.42 Using role type
% 3.27/3.42 Declaring a:Type
% 3.27/3.42 FOF formula (<kernel.Constant object at 0x1d8ad88>, <kernel.DependentProduct object at 0x1d8a7e8>) of role type named c_starc
% 3.27/3.42 Using role type
% 3.27/3.42 Declaring c_starc:(c->(c->c))
% 3.27/3.42 FOF formula (<kernel.Constant object at 0x1d8acb0>, <kernel.DependentProduct object at 0x1d8aef0>) of role type named c_starb
% 3.27/3.42 Using role type
% 3.27/3.42 Declaring c_starb:(b->(b->b))
% 3.27/3.42 FOF formula (<kernel.Constant object at 0x1d8a7e8>, <kernel.DependentProduct object at 0x1d8add0>) of role type named c_stara
% 3.27/3.42 Using role type
% 3.27/3.42 Declaring c_stara:(a->(a->a))
% 3.27/3.42 FOF formula (forall (Xf:(a->b)) (Xg:(a->c)) (Xh:(b->c)), (((and ((and ((and (forall (Xx:a) (Xq:(c->Prop)), ((Xq (Xh (Xf Xx)))->(Xq (Xg Xx))))) (forall (Xy:b), ((ex a) (fun (Xx:a)=> (forall (Xq:(b->Prop)), ((Xq (Xf Xx))->(Xq Xy)))))))) (forall (Xx:a) (Xy:a) (Xq:(b->Prop)), ((Xq (Xf ((c_stara Xx) Xy)))->(Xq ((c_starb (Xf Xx)) (Xf Xy))))))) (forall (Xx:a) (Xy:a) (Xq:(c->Prop)), ((Xq (Xg ((c_stara Xx) Xy)))->(Xq ((c_starc (Xg Xx)) (Xg Xy))))))->(forall (Xx:b) (Xy:b) (Xq:(c->Prop)), ((Xq (Xh ((c_starb Xx) Xy)))->(Xq ((c_starc (Xh Xx)) (Xh Xy))))))) of role conjecture named cTHM270_INST
% 3.27/3.42 Conjecture to prove = (forall (Xf:(a->b)) (Xg:(a->c)) (Xh:(b->c)), (((and ((and ((and (forall (Xx:a) (Xq:(c->Prop)), ((Xq (Xh (Xf Xx)))->(Xq (Xg Xx))))) (forall (Xy:b), ((ex a) (fun (Xx:a)=> (forall (Xq:(b->Prop)), ((Xq (Xf Xx))->(Xq Xy)))))))) (forall (Xx:a) (Xy:a) (Xq:(b->Prop)), ((Xq (Xf ((c_stara Xx) Xy)))->(Xq ((c_starb (Xf Xx)) (Xf Xy))))))) (forall (Xx:a) (Xy:a) (Xq:(c->Prop)), ((Xq (Xg ((c_stara Xx) Xy)))->(Xq ((c_starc (Xg Xx)) (Xg Xy))))))->(forall (Xx:b) (Xy:b) (Xq:(c->Prop)), ((Xq (Xh ((c_starb Xx) Xy)))->(Xq ((c_starc (Xh Xx)) (Xh Xy))))))):Prop
% 3.27/3.42 Parameter c_DUMMY:c.
% 3.27/3.42 Parameter b_DUMMY:b.
% 3.27/3.42 Parameter a_DUMMY:a.
% 3.27/3.42 We need to prove ['(forall (Xf:(a->b)) (Xg:(a->c)) (Xh:(b->c)), (((and ((and ((and (forall (Xx:a) (Xq:(c->Prop)), ((Xq (Xh (Xf Xx)))->(Xq (Xg Xx))))) (forall (Xy:b), ((ex a) (fun (Xx:a)=> (forall (Xq:(b->Prop)), ((Xq (Xf Xx))->(Xq Xy)))))))) (forall (Xx:a) (Xy:a) (Xq:(b->Prop)), ((Xq (Xf ((c_stara Xx) Xy)))->(Xq ((c_starb (Xf Xx)) (Xf Xy))))))) (forall (Xx:a) (Xy:a) (Xq:(c->Prop)), ((Xq (Xg ((c_stara Xx) Xy)))->(Xq ((c_starc (Xg Xx)) (Xg Xy))))))->(forall (Xx:b) (Xy:b) (Xq:(c->Prop)), ((Xq (Xh ((c_starb Xx) Xy)))->(Xq ((c_starc (Xh Xx)) (Xh Xy)))))))']
% 3.27/3.42 Parameter c:Type.
% 3.27/3.42 Parameter b:Type.
% 3.27/3.42 Parameter a:Type.
% 3.27/3.42 Parameter c_starc:(c->(c->c)).
% 3.27/3.42 Parameter c_starb:(b->(b->b)).
% 3.27/3.42 Parameter c_stara:(a->(a->a)).
% 3.27/3.42 Trying to prove (forall (Xf:(a->b)) (Xg:(a->c)) (Xh:(b->c)), (((and ((and ((and (forall (Xx:a) (Xq:(c->Prop)), ((Xq (Xh (Xf Xx)))->(Xq (Xg Xx))))) (forall (Xy:b), ((ex a) (fun (Xx:a)=> (forall (Xq:(b->Prop)), ((Xq (Xf Xx))->(Xq Xy)))))))) (forall (Xx:a) (Xy:a) (Xq:(b->Prop)), ((Xq (Xf ((c_stara Xx) Xy)))->(Xq ((c_starb (Xf Xx)) (Xf Xy))))))) (forall (Xx:a) (Xy:a) (Xq:(c->Prop)), ((Xq (Xg ((c_stara Xx) Xy)))->(Xq ((c_starc (Xg Xx)) (Xg Xy))))))->(forall (Xx:b) (Xy:b) (Xq:(c->Prop)), ((Xq (Xh ((c_starb Xx) Xy)))->(Xq ((c_starc (Xh Xx)) (Xh Xy)))))))
% 3.27/3.42 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 3.27/3.42 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 3.27/3.42 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 3.27/3.42 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 3.27/3.42 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 3.27/3.42 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 3.27/3.42 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 14.35/14.50 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 14.35/14.50 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 14.35/14.50 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 14.35/14.50 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 14.35/14.50 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 14.35/14.50 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 14.35/14.50 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 14.35/14.50 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 14.35/14.50 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 14.35/14.50 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 26.04/26.22 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 26.04/26.22 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 26.04/26.22 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found x0:(P (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 26.04/26.22 Found x0 as proof of (P0 b0)
% 26.04/26.22 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 26.04/26.22 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 26.04/26.22 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 26.04/26.22 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 26.04/26.22 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 26.04/26.22 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 26.04/26.22 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 29.46/29.60 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 29.46/29.60 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 29.46/29.60 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 29.46/29.60 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 29.46/29.60 Found (eq_ref0 b0) as proof of (P b0)
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (P b0)
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (P b0)
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (P b0)
% 29.46/29.60 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 29.46/29.60 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 29.46/29.60 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 29.46/29.60 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 29.46/29.60 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 40.13/40.33 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found x0:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 40.13/40.33 Found x0 as proof of (P0 b0)
% 40.13/40.33 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 40.13/40.33 Found x2:(P (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 40.13/40.33 Found x2 as proof of (P0 b0)
% 40.13/40.33 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found x0:(P (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 40.13/40.33 Found x0 as proof of (P0 b0)
% 40.13/40.33 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 40.13/40.33 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 40.13/40.33 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 40.13/40.33 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 40.13/40.33 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 40.13/40.33 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 40.13/40.33 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 40.13/40.33 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 40.13/40.33 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 40.13/40.33 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 40.13/40.33 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 40.13/40.33 Found (eq_ref00 P) as proof of (P0 b0)
% 40.13/40.33 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 40.13/40.33 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 40.13/40.33 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 40.13/40.33 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 40.13/40.33 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 40.13/40.33 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 44.46/44.69 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 44.46/44.69 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 44.46/44.69 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 44.46/44.69 Found (eq_ref0 b0) as proof of (P b0)
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (P b0)
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (P b0)
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (P b0)
% 44.46/44.69 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 44.46/44.69 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 44.46/44.69 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 44.46/44.69 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 44.46/44.69 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 44.46/44.69 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 44.46/44.69 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 46.95/47.15 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 46.95/47.15 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 46.95/47.15 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 46.95/47.15 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 46.95/47.15 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 46.95/47.15 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 46.95/47.15 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 46.95/47.15 Found x2:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 46.95/47.15 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 46.95/47.15 Found x2 as proof of (P0 b0)
% 46.95/47.15 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 46.95/47.15 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 46.95/47.15 Found x4:(P (Xh ((c_starb Xx) Xy)))
% 46.95/47.15 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 46.95/47.15 Found x4 as proof of (P0 b0)
% 46.95/47.15 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 46.95/47.15 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found x0:(P (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 54.04/54.26 Found x0 as proof of (P0 b0)
% 54.04/54.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 54.04/54.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found x2:(P (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 54.04/54.26 Found x2 as proof of (P0 b0)
% 54.04/54.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 54.04/54.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 54.04/54.26 Found (eq_ref0 b0) as proof of (P b0)
% 54.04/54.26 Found ((eq_ref c) b0) as proof of (P b0)
% 54.04/54.26 Found ((eq_ref c) b0) as proof of (P b0)
% 54.04/54.26 Found ((eq_ref c) b0) as proof of (P b0)
% 54.04/54.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 54.04/54.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 54.04/54.26 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found x2:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 54.04/54.26 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 54.04/54.26 Found x2 as proof of (P0 b0)
% 54.04/54.26 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 54.04/54.26 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 54.04/54.26 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 54.04/54.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 54.04/54.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 54.04/54.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 62.15/62.34 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 62.15/62.34 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 62.15/62.34 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found x0:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 62.15/62.34 Found x0 as proof of (P0 b0)
% 62.15/62.34 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 62.15/62.34 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 62.15/62.34 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 62.15/62.34 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 62.15/62.34 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 62.15/62.34 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 62.15/62.34 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 62.15/62.34 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 62.15/62.34 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 62.15/62.34 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 62.15/62.34 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 62.15/62.34 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 62.15/62.34 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 62.15/62.34 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 71.52/71.77 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 71.52/71.77 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 71.52/71.77 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 71.52/71.77 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 71.52/71.77 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 71.52/71.77 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 71.52/71.77 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 71.52/71.77 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 71.52/71.77 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 71.52/71.77 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 71.52/71.77 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 71.52/71.77 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 71.52/71.77 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 71.52/71.77 Found (eq_ref00 P) as proof of (P0 b0)
% 71.52/71.77 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 71.52/71.77 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 71.52/71.77 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 71.52/71.77 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 71.52/71.77 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 71.52/71.77 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 71.52/71.77 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 71.52/71.77 Found (eq_ref00 P) as proof of (P0 b0)
% 71.52/71.77 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 71.52/71.77 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 71.52/71.77 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 71.52/71.77 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 71.52/71.77 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 71.52/71.77 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 71.52/71.77 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 78.30/78.55 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 78.30/78.55 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 78.30/78.55 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 78.30/78.55 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 78.30/78.55 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 78.30/78.55 Found (eq_ref0 b0) as proof of (P b0)
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (P b0)
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (P b0)
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (P b0)
% 78.30/78.55 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 78.30/78.55 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 78.30/78.55 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 78.30/78.55 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 78.30/78.55 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 78.30/78.55 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 87.01/87.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 87.01/87.26 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 87.01/87.26 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 87.01/87.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 87.01/87.26 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 87.01/87.26 Found (eq_ref00 P) as proof of (P0 b0)
% 87.01/87.26 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 87.01/87.26 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 87.01/87.26 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 87.01/87.26 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 87.01/87.26 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found x4:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 87.01/87.26 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 87.01/87.26 Found x4 as proof of (P0 b0)
% 87.01/87.26 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 87.01/87.26 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 87.01/87.26 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 87.01/87.26 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 87.01/87.26 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 87.01/87.26 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 87.01/87.26 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 87.01/87.26 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 87.01/87.26 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 87.01/87.26 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 87.01/87.26 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 87.01/87.26 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 87.01/87.26 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 87.01/87.26 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 87.01/87.26 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 90.61/90.83 Found (eq_ref0 b0) as proof of (P b0)
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (P b0)
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (P b0)
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (P b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 90.61/90.83 Found (eq_ref0 b0) as proof of (P b0)
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (P b0)
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (P b0)
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (P b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found x6:(P (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 90.61/90.83 Found x6 as proof of (P0 b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found x0:(P (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 90.61/90.83 Found x0 as proof of (P0 b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 90.61/90.83 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 90.61/90.83 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 90.61/90.83 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 90.61/90.83 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 90.61/90.83 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found x2:(P (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 98.70/98.98 Found x2 as proof of (P0 b0)
% 98.70/98.98 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found x4:(P (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 98.70/98.98 Found x4 as proof of (P0 b0)
% 98.70/98.98 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found x4:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 98.70/98.98 Found x4 as proof of (P0 b0)
% 98.70/98.98 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found x4:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 98.70/98.98 Found x4 as proof of (P0 b0)
% 98.70/98.98 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 98.70/98.98 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 98.70/98.98 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 98.70/98.98 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 98.70/98.98 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 98.70/98.98 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 108.31/108.59 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found x0:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 108.31/108.59 Found x0 as proof of (P0 b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 108.31/108.59 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found x2:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 108.31/108.59 Found x2 as proof of (P0 b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found x2:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 108.31/108.59 Found x2 as proof of (P0 b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 108.31/108.59 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 108.31/108.59 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 108.31/108.59 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 108.31/108.59 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 108.31/108.59 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 114.88/115.11 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 114.88/115.11 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 114.88/115.11 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 114.88/115.11 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 114.88/115.11 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 114.88/115.11 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 114.88/115.11 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 114.88/115.11 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 114.88/115.11 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 114.88/115.11 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 114.88/115.11 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 114.88/115.11 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 114.88/115.11 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 114.88/115.11 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 114.88/115.11 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 114.88/115.11 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 132.50/132.81 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 132.50/132.81 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 132.50/132.81 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 132.50/132.81 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 132.50/132.81 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 132.50/132.81 Found (eq_ref00 P) as proof of (P0 b0)
% 132.50/132.81 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 132.50/132.81 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 132.50/132.81 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 132.50/132.81 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 132.50/132.81 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 132.50/132.81 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 132.50/132.81 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 132.50/132.81 Found (eq_ref00 P) as proof of (P0 b0)
% 132.50/132.81 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 132.50/132.81 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 132.50/132.81 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 132.50/132.81 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 132.50/132.81 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 132.50/132.81 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 132.50/132.81 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 132.50/132.81 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 132.50/132.81 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 132.50/132.81 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 143.76/144.00 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 143.76/144.00 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 143.76/144.00 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 143.76/144.00 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 143.76/144.00 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 143.76/144.00 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 143.76/144.00 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 143.76/144.00 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 143.76/144.00 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 143.76/144.00 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 143.76/144.00 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 143.76/144.00 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 143.76/144.00 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 143.76/144.00 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 143.76/144.00 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 143.76/144.00 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 143.76/144.00 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 143.76/144.00 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 143.76/144.00 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 143.76/144.00 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 143.76/144.00 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 147.50/147.73 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 147.50/147.73 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 147.50/147.73 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 147.50/147.73 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 147.50/147.73 Found (eq_ref00 P) as proof of (P0 b0)
% 147.50/147.73 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 147.50/147.73 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 147.50/147.73 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 147.50/147.73 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 147.50/147.73 Found (eq_ref00 P) as proof of (P0 b0)
% 147.50/147.73 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 147.50/147.73 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 147.50/147.73 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 147.50/147.73 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 147.50/147.73 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 147.50/147.73 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 147.50/147.73 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 147.50/147.73 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 147.50/147.73 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 147.50/147.73 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 147.50/147.73 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 147.50/147.73 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 147.50/147.73 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 147.50/147.73 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 166.98/167.30 Found (eq_ref0 b0) as proof of (P b0)
% 166.98/167.30 Found ((eq_ref c) b0) as proof of (P b0)
% 166.98/167.30 Found ((eq_ref c) b0) as proof of (P b0)
% 166.98/167.30 Found ((eq_ref c) b0) as proof of (P b0)
% 166.98/167.30 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 166.98/167.30 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 166.98/167.30 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 166.98/167.30 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 166.98/167.30 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 166.98/167.30 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 166.98/167.30 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 166.98/167.30 Found (eq_ref00 P) as proof of (P0 b0)
% 166.98/167.30 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 166.98/167.30 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 166.98/167.30 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 166.98/167.30 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 166.98/167.30 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 166.98/167.30 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found x6:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 166.98/167.30 Found x6 as proof of (P0 b0)
% 166.98/167.30 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 166.98/167.30 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 166.98/167.30 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 166.98/167.30 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 166.98/167.30 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 166.98/167.30 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 166.98/167.30 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 166.98/167.30 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 169.48/169.76 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 169.48/169.76 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 169.48/169.76 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 169.48/169.76 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 169.48/169.76 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 169.48/169.76 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 169.48/169.76 Found (eq_ref0 b0) as proof of (P b0)
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (P b0)
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (P b0)
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (P b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 169.48/169.76 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 169.48/169.76 Found (eq_ref0 b0) as proof of (P b0)
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (P b0)
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (P b0)
% 169.48/169.76 Found ((eq_ref c) b0) as proof of (P b0)
% 169.48/169.76 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 169.48/169.76 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 169.48/169.76 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 182.47/182.72 Found (eq_ref0 b0) as proof of (P b0)
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (P b0)
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (P b0)
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (P b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 182.47/182.72 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 182.47/182.72 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 182.47/182.72 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 182.47/182.72 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 182.47/182.72 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 182.47/182.72 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 182.47/182.72 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 182.47/182.72 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 182.47/182.72 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 182.47/182.72 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 182.47/182.72 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 190.85/191.18 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 190.85/191.18 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 190.85/191.18 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 190.85/191.18 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Found x6:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 190.85/191.18 Found x6 as proof of (P0 b0)
% 190.85/191.18 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found x6:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 190.85/191.18 Found x6 as proof of (P0 b0)
% 190.85/191.18 Found x6:(P ((c_starc (Xh Xx)) (Xh Xy)))
% 190.85/191.18 Instantiate: b0:=((c_starc (Xh Xx)) (Xh Xy)):c
% 190.85/191.18 Found x6 as proof of (P0 b0)
% 190.85/191.18 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 190.85/191.18 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 190.85/191.18 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 206.96/207.28 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 206.96/207.28 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 206.96/207.28 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 206.96/207.28 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 206.96/207.28 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 206.96/207.28 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 206.96/207.28 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 206.96/207.28 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 206.96/207.28 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 206.96/207.28 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 206.96/207.28 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 206.96/207.28 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 206.96/207.28 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 206.96/207.28 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 206.96/207.28 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 206.96/207.28 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 206.96/207.28 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 206.96/207.28 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 206.96/207.28 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 206.96/207.28 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 206.96/207.28 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 206.96/207.28 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 211.24/211.54 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 211.24/211.54 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 211.24/211.54 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 211.24/211.54 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 a0):(((eq c) a0) a0)
% 211.24/211.54 Found (eq_ref0 a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found ((eq_ref c) a0) as proof of (((eq c) a0) (Xh Xy))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 211.24/211.54 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 211.24/211.54 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 211.24/211.54 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 211.24/211.54 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 211.24/211.54 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 211.24/211.54 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 211.24/211.54 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 211.24/211.54 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 211.24/211.54 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 211.24/211.54 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 211.24/211.54 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 211.24/211.54 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 211.24/211.54 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 211.24/211.54 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b00)
% 227.93/228.25 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 227.93/228.25 Found (eq_ref0 b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 227.93/228.25 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 227.93/228.25 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 227.93/228.25 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 227.93/228.25 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 227.93/228.25 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 227.93/228.25 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 227.93/228.25 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 227.93/228.25 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 227.93/228.25 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 227.93/228.25 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 227.93/228.25 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 227.93/228.25 Found (eq_ref00 P) as proof of (P0 b0)
% 227.93/228.25 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 227.93/228.25 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 227.93/228.25 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 227.93/228.25 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 227.93/228.25 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 227.93/228.25 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 241.13/241.42 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 241.13/241.42 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 241.13/241.42 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 241.13/241.42 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 241.13/241.42 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 241.13/241.42 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 241.13/241.42 Found (eq_ref00 P) as proof of (P0 b0)
% 241.13/241.42 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 241.13/241.42 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 241.13/241.42 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 241.13/241.42 Found x0:(P (Xh ((c_starb Xx) Xy)))
% 241.13/241.42 Instantiate: b0:=(Xh ((c_starb Xx) Xy)):c
% 241.13/241.42 Found x0 as proof of (P0 b0)
% 241.13/241.42 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 241.13/241.43 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 241.13/241.43 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 241.13/241.43 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 241.13/241.43 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 241.13/241.43 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 241.13/241.43 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 241.13/241.43 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found eq_ref000:=(eq_ref00 P):((P (Xh ((c_starb Xx) Xy)))->(P (Xh ((c_starb Xx) Xy))))
% 241.13/241.43 Found (eq_ref00 P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found ((eq_ref0 (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found (((eq_ref c) (Xh ((c_starb Xx) Xy))) P) as proof of (P0 (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 241.13/241.43 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 241.13/241.43 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found eq_ref00:=(eq_ref0 a0):(((eq b) a0) a0)
% 241.13/241.43 Found (eq_ref0 a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found ((eq_ref b) a0) as proof of (((eq b) a0) ((c_starb Xx) Xy))
% 241.13/241.43 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 241.13/241.43 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 241.13/241.43 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 241.13/241.43 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 241.13/241.43 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 241.13/241.43 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 267.58/267.89 Found eq_ref00:=(eq_ref0 b00):(((eq c) b00) b00)
% 267.58/267.89 Found (eq_ref0 b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 267.58/267.89 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 267.58/267.89 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 267.58/267.89 Found ((eq_ref c) b00) as proof of (((eq c) b00) (Xh ((c_starb Xx) Xy)))
% 267.58/267.89 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 267.58/267.89 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b00)
% 267.58/267.89 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 267.58/267.89 Found (eq_ref00 P) as proof of (P0 b0)
% 267.58/267.89 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 267.58/267.89 Found (eq_ref00 P) as proof of (P0 b0)
% 267.58/267.89 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 267.58/267.89 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 267.58/267.89 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 267.58/267.89 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 267.58/267.89 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 267.58/267.89 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b1)
% 267.58/267.89 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 267.58/267.89 Found (eq_ref00 P) as proof of (P0 b0)
% 267.58/267.89 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 267.58/267.89 Found (eq_ref00 P) as proof of (P0 b0)
% 267.58/267.89 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 267.58/267.89 Found (eq_ref00 P) as proof of (P0 b0)
% 267.58/267.89 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 267.58/267.89 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 267.58/267.89 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 267.58/267.89 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 267.58/267.89 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 267.58/267.89 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 267.58/267.89 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 267.58/267.89 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 267.58/267.89 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 267.58/267.89 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 267.58/267.89 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 267.58/267.89 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 276.33/276.66 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 276.33/276.66 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 276.33/276.66 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 276.33/276.66 Found (eq_ref0 b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found ((eq_ref c) b0) as proof of (((eq c) b0) (Xh ((c_starb Xx) Xy)))
% 276.33/276.66 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b0)
% 276.33/276.66 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 276.33/276.66 Found (eq_ref00 P) as proof of (P0 b0)
% 276.33/276.66 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 276.33/276.66 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 276.33/276.66 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 276.33/276.66 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 276.33/276.66 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 276.33/276.66 Found eq_ref000:=(eq_ref00 P):((P b0)->(P b0))
% 276.33/276.66 Found (eq_ref00 P) as proof of (P0 b0)
% 298.16/298.53 Found ((eq_ref0 b0) P) as proof of (P0 b0)
% 298.16/298.53 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 298.16/298.53 Found (((eq_ref c) b0) P) as proof of (P0 b0)
% 298.16/298.53 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 298.16/298.53 Found (eq_ref0 b1) as proof of (((eq c) b1) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref c) b1) as proof of (((eq c) b1) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref c) b1) as proof of (((eq c) b1) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref c) b1) as proof of (((eq c) b1) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 298.16/298.53 Found (eq_ref0 b0) as proof of (((eq c) b0) b1)
% 298.16/298.53 Found ((eq_ref c) b0) as proof of (((eq c) b0) b1)
% 298.16/298.53 Found ((eq_ref c) b0) as proof of (((eq c) b0) b1)
% 298.16/298.53 Found ((eq_ref c) b0) as proof of (((eq c) b0) b1)
% 298.16/298.53 Found eq_ref00:=(eq_ref0 (Xh ((c_starb Xx) Xy))):(((eq c) (Xh ((c_starb Xx) Xy))) (Xh ((c_starb Xx) Xy)))
% 298.16/298.53 Found (eq_ref0 (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 298.16/298.53 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 298.16/298.53 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 298.16/298.53 Found ((eq_ref c) (Xh ((c_starb Xx) Xy))) as proof of (((eq c) (Xh ((c_starb Xx) Xy))) b0)
% 298.16/298.53 Found eq_ref00:=(eq_ref0 b0):(((eq c) b0) b0)
% 298.16/298.53 Found (eq_ref0 b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref c) b0) as proof of (((eq c) b0) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 298.16/298.53 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 298.16/298.53 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found eq_ref000:=(eq_ref00 P):((P ((c_starc (Xh Xx)) (Xh Xy)))->(P ((c_starc (Xh Xx)) (Xh Xy))))
% 298.16/298.53 Found (eq_ref00 P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found ((eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) P) as proof of (P0 ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found eq_ref00:=(eq_ref0 b1):(((eq c) b1) b1)
% 298.16/298.53 Found (eq_ref0 b1) as proof of (((eq c) b1) b0)
% 298.16/298.53 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 298.16/298.53 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 298.16/298.53 Found ((eq_ref c) b1) as proof of (((eq c) b1) b0)
% 298.16/298.53 Found eq_ref00:=(eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))):(((eq c) ((c_starc (Xh Xx)) (Xh Xy))) ((c_starc (Xh Xx)) (Xh Xy)))
% 298.16/298.53 Found (eq_ref0 ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found ((eq_ref c) ((c_starc (Xh Xx)) (Xh Xy))) as proof of (((eq c) ((c_starc (Xh Xx)) (Xh Xy))) b1)
% 298.16/298.53 Found ((eq_ref c)
%------------------------------------------------------------------------------