TSTP Solution File: SYO346^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO346^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 00:51:12 EDT 2022
% Result : Timeout 289.95s 290.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO346^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % RAMPerCPU : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Mar 12 05:40:27 EST 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34 Python 2.7.5
% 2.27/2.45 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 2.27/2.45 FOF formula (<kernel.Constant object at 0x220bb48>, <kernel.Sort object at 0x2b49cb659638>) of role type named cB
% 2.27/2.45 Using role type
% 2.27/2.45 Declaring cB:Prop
% 2.27/2.45 FOF formula (<kernel.Constant object at 0x220be18>, <kernel.DependentProduct object at 0x222bd40>) of role type named cP
% 2.27/2.45 Using role type
% 2.27/2.45 Declaring cP:(Prop->Prop)
% 2.27/2.45 FOF formula (<kernel.Constant object at 0x220b680>, <kernel.Sort object at 0x2b49cb659638>) of role type named cA
% 2.27/2.45 Using role type
% 2.27/2.45 Declaring cA:Prop
% 2.27/2.45 FOF formula ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (cP cB)) of role conjecture named cTHM621
% 2.27/2.45 Conjecture to prove = ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (cP cB)):Prop
% 2.27/2.45 We need to prove ['((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (cP cB))']
% 2.27/2.45 Parameter cB:Prop.
% 2.27/2.45 Parameter cP:(Prop->Prop).
% 2.27/2.45 Parameter cA:Prop.
% 2.27/2.45 Trying to prove ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (cP cB))
% 2.27/2.45 Found eq_ref00:=(eq_ref0 (cP cB)):(((eq Prop) (cP cB)) (cP cB))
% 2.27/2.45 Found (eq_ref0 (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found ((eq_ref Prop) (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found ((eq_ref Prop) (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found ((eq_ref Prop) (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found eq_ref00:=(eq_ref0 (cP cB)):(((eq Prop) (cP cB)) (cP cB))
% 2.27/2.45 Found (eq_ref0 (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found ((eq_ref Prop) (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found ((eq_ref Prop) (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found ((eq_ref Prop) (cP cB)) as proof of (((eq Prop) (cP cB)) b)
% 2.27/2.45 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))):(((eq Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False)))
% 2.27/2.45 Found (eq_ref0 ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 2.27/2.45 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 2.27/2.45 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 2.27/2.45 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 2.27/2.45 Found eq_ref00:=(eq_ref0 ((cP cA)->False)):(((eq Prop) ((cP cA)->False)) ((cP cA)->False))
% 2.27/2.45 Found (eq_ref0 ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 2.27/2.45 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 2.27/2.45 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 2.27/2.45 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 2.27/2.45 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) cB))) (not (cP cA)))):(((eq Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) ((or (not (((eq Prop) cA) cB))) (not (cP cA))))
% 2.27/2.45 Found (eq_ref0 ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 2.27/2.45 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 2.27/2.45 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 2.27/2.45 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 2.27/2.45 Found eq_ref00:=(eq_ref0 (not (cP cA))):(((eq Prop) (not (cP cA))) (not (cP cA)))
% 2.27/2.45 Found (eq_ref0 (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 2.27/2.45 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 2.27/2.45 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 2.27/2.45 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 2.27/2.45 Found eq_ref00:=(eq_ref0 (not (((eq Prop) cA) cB))):(((eq Prop) (not (((eq Prop) cA) cB))) (not (((eq Prop) cA) cB)))
% 4.10/4.30 Found (eq_ref0 (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 ((cP cA)->False)):(((eq Prop) ((cP cA)->False)) ((cP cA)->False))
% 4.10/4.30 Found (eq_ref0 ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 4.10/4.30 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 4.10/4.30 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 4.10/4.30 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 (not (((eq Prop) cA) cB))):(((eq Prop) (not (((eq Prop) cA) cB))) (not (((eq Prop) cA) cB)))
% 4.10/4.30 Found (eq_ref0 (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 (not (cP cA))):(((eq Prop) (not (cP cA))) (not (cP cA)))
% 4.10/4.30 Found (eq_ref0 (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 4.10/4.30 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 4.10/4.30 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 4.10/4.30 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.40/6.58 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.40/6.58 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.40/6.58 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 6.40/6.58 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.40/6.58 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.40/6.58 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 6.40/6.58 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 6.40/6.58 Found eq_ref00:=(eq_ref0 (not (((eq Prop) cA) cB))):(((eq Prop) (not (((eq Prop) cA) cB))) (not (((eq Prop) cA) cB)))
% 6.40/6.58 Found (eq_ref0 (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 6.40/6.58 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 6.40/6.58 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 6.40/6.58 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 6.40/6.58 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 6.40/6.58 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 6.40/6.58 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 6.40/6.58 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 6.40/6.58 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 6.40/6.58 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 6.40/6.58 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 6.40/6.58 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 6.40/6.58 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 6.40/6.58 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 6.40/6.58 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 6.40/6.58 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 6.40/6.58 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 6.40/6.58 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 6.40/6.58 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 6.40/6.58 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 14.51/14.67 Found eq_ref00:=(eq_ref0 (not (((eq Prop) cA) cB))):(((eq Prop) (not (((eq Prop) cA) cB))) (not (((eq Prop) cA) cB)))
% 14.51/14.67 Found (eq_ref0 (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 14.51/14.67 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 14.51/14.67 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 14.51/14.67 Found ((eq_ref Prop) (not (((eq Prop) cA) cB))) as proof of (((eq Prop) (not (((eq Prop) cA) cB))) b)
% 14.51/14.67 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 14.51/14.67 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 14.51/14.67 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 14.51/14.67 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 14.51/14.67 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 14.51/14.67 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 14.51/14.67 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 14.51/14.67 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 14.51/14.67 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 14.51/14.67 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 14.51/14.67 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 14.51/14.67 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (not (((eq Prop) cA) cB))) a))
% 14.51/14.67 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 14.51/14.67 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 14.51/14.67 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 14.51/14.67 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 14.51/14.67 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 14.51/14.67 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 14.51/14.67 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 14.51/14.67 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a)))
% 14.51/14.67 Found classic0:=(classic (cP cB)):((or (cP cB)) (not (cP cB)))
% 14.51/14.67 Found (classic (cP cB)) as proof of ((or (cP cB)) b)
% 14.51/14.67 Found (classic (cP cB)) as proof of ((or (cP cB)) b)
% 14.51/14.67 Found (classic (cP cB)) as proof of ((or (cP cB)) b)
% 14.51/14.67 Found (classic (cP cB)) as proof of (P b)
% 14.51/14.67 Found classic0:=(classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))):((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (not ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))))
% 14.51/14.67 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 14.51/14.67 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 16.99/17.15 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) b)
% 16.99/17.15 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (P b)
% 16.99/17.15 Found classic0:=(classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))):((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) (not ((or (not (((eq Prop) cA) cB))) (not (cP cA)))))
% 16.99/17.15 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 16.99/17.15 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 16.99/17.15 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) b)
% 16.99/17.15 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (P b)
% 16.99/17.15 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of (P b)
% 16.99/17.15 Found classic0:=(classic (cP cB)):((or (cP cB)) (not (cP cB)))
% 16.99/17.15 Found (classic (cP cB)) as proof of ((or (cP cB)) b)
% 16.99/17.15 Found (classic (cP cB)) as proof of ((or (cP cB)) b)
% 16.99/17.15 Found (classic (cP cB)) as proof of ((or (cP cB)) b)
% 16.99/17.15 Found (classic (cP cB)) as proof of (P b)
% 16.99/17.15 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of (P b)
% 16.99/17.15 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 16.99/17.15 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.99/17.15 Found (eq_ref0 b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 16.99/17.15 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 16.99/17.15 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 16.99/17.15 Found (eq_ref0 b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (cP cB))
% 16.99/17.15 Found classic0:=(classic ((cP cA)->False)):((or ((cP cA)->False)) (not ((cP cA)->False)))
% 16.99/17.15 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) b)
% 16.99/17.15 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) b)
% 16.99/17.15 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) b)
% 16.99/17.15 Found (classic ((cP cA)->False)) as proof of (P b)
% 16.99/17.15 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 16.99/17.15 Found (classic (not (((eq Prop) cA) cB))) as proof of (P b)
% 16.99/17.15 Found classic0:=(classic (not (cP cA))):((or (not (cP cA))) (not (not (cP cA))))
% 16.99/17.15 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) b)
% 21.42/21.63 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) b)
% 21.42/21.63 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) b)
% 21.42/21.63 Found (classic (not (cP cA))) as proof of (P b)
% 21.42/21.63 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 21.42/21.63 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 21.42/21.63 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 21.42/21.63 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) b)
% 21.42/21.63 Found (classic (not (((eq Prop) cA) cB))) as proof of (P b)
% 21.42/21.63 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 21.42/21.63 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.42/21.63 Found (eq_ref0 b) as proof of (((eq Prop) b) ((cP cA)->False))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((cP cA)->False))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((cP cA)->False))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((cP cA)->False))
% 21.42/21.63 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 21.42/21.63 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.42/21.63 Found (eq_ref0 b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False)))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False)))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False)))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) ((cP cA)->False)))
% 21.42/21.63 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 21.42/21.63 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.42/21.63 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (cP cA)))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (cP cA)))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (cP cA)))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (cP cA)))
% 21.42/21.63 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 21.42/21.63 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 21.42/21.63 Found (eq_ref0 b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) (not (cP cA))))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) (not (cP cA))))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) (not (cP cA))))
% 21.42/21.63 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((or (not (((eq Prop) cA) cB))) (not (cP cA))))
% 21.42/21.63 Found classic0:=(classic ((cP cA)->False)):((or ((cP cA)->False)) (not ((cP cA)->False)))
% 21.42/21.63 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) b)
% 21.42/21.63 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) b)
% 21.42/21.63 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) b)
% 21.42/21.63 Found (classic ((cP cA)->False)) as proof of (P b)
% 21.42/21.63 Found classic0:=(classic (not (cP cA))):((or (not (cP cA))) (not (not (cP cA))))
% 21.42/21.63 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) b)
% 21.42/21.63 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) b)
% 21.42/21.63 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) b)
% 21.42/21.63 Found (classic (not (cP cA))) as proof of (P b)
% 21.42/21.63 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 21.42/21.63 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 21.42/21.63 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.33/32.54 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 32.33/32.54 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.33/32.54 Found (eq_ref0 b) as proof of (((eq Prop) b) ((cP cA)->False))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((cP cA)->False))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((cP cA)->False))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) ((cP cA)->False))
% 32.33/32.54 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 32.33/32.54 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.33/32.54 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 32.33/32.54 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.33/32.54 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (cP cA)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (cP cA)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (cP cA)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (cP cA)))
% 32.33/32.54 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 32.33/32.54 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 32.33/32.54 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 32.33/32.54 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 32.33/32.54 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 32.33/32.54 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 32.33/32.54 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 32.33/32.54 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 32.33/32.54 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P a)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 32.33/32.54 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 32.33/32.54 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 32.33/32.54 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 32.33/32.54 Found (eq_ref0 a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) b)
% 32.33/32.54 Found eq_ref00:=(eq_ref0 b):(((eq Prop) b) b)
% 49.54/49.77 Found (eq_ref0 b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 49.54/49.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 49.54/49.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 49.54/49.77 Found ((eq_ref Prop) b) as proof of (((eq Prop) b) (not (((eq Prop) cA) cB)))
% 49.54/49.77 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 49.54/49.77 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 49.54/49.77 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 49.54/49.77 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 49.54/49.77 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 49.54/49.77 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 49.54/49.77 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 49.54/49.77 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) cB))) a))
% 49.54/49.77 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P a)
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 49.54/49.77 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 49.54/49.77 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 70.11/70.37 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 70.11/70.37 Found classic0:=(classic (cP cB)):((or (cP cB)) (not (cP cB)))
% 70.11/70.37 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 70.11/70.37 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 70.11/70.37 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 70.11/70.37 Found (classic (cP cB)) as proof of (P a)
% 70.11/70.37 Found classic0:=(classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))):((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (not ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))))
% 70.11/70.37 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) a)
% 70.11/70.37 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) a)
% 70.11/70.37 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) a)
% 70.11/70.37 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (P a)
% 70.11/70.37 Found classic0:=(classic (cP cB)):((or (cP cB)) (not (cP cB)))
% 70.11/70.37 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 70.11/70.37 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 70.11/70.37 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 70.11/70.37 Found (classic (cP cB)) as proof of (P a)
% 70.11/70.37 Found classic0:=(classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))):((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) (not ((or (not (((eq Prop) cA) cB))) (not (cP cA)))))
% 70.11/70.37 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (P a)
% 75.81/76.06 Found classic0:=(classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))):((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) (not ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))))
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of ((or ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) ((cP cA)->False))) as proof of (P a)
% 75.81/76.06 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 75.81/76.06 Found classic0:=(classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))):((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) (not ((or (not (((eq Prop) cA) cB))) (not (cP cA)))))
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of ((or ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) a)
% 75.81/76.06 Found (classic ((or (not (((eq Prop) cA) cB))) (not (cP cA)))) as proof of (P a)
% 75.81/76.06 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 75.81/76.06 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 75.81/76.06 Found classic0:=(classic (cP cB)):((or (cP cB)) (not (cP cB)))
% 75.81/76.06 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 75.81/76.06 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 75.81/76.06 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 75.81/76.06 Found (classic (cP cB)) as proof of (P a)
% 75.81/76.06 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 75.81/76.06 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 75.81/76.06 Found conj as proof of a
% 75.81/76.06 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 75.81/76.06 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 75.81/76.06 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 75.81/76.06 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 75.81/76.06 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 75.81/76.06 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 75.81/76.06 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 75.81/76.06 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 75.81/76.06 Found classic0:=(classic (cP cB)):((or (cP cB)) (not (cP cB)))
% 75.81/76.06 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 78.62/78.89 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 78.62/78.89 Found (classic (cP cB)) as proof of ((or (cP cB)) a)
% 78.62/78.89 Found (classic (cP cB)) as proof of (P a)
% 78.62/78.89 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 78.62/78.89 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 78.62/78.89 Found conj as proof of a
% 78.62/78.89 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 78.62/78.89 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 78.62/78.89 Found conj as proof of a
% 78.62/78.89 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 78.62/78.89 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 78.62/78.89 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 78.62/78.89 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 78.62/78.89 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 78.62/78.89 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 78.62/78.89 Found conj as proof of a
% 78.62/78.89 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 78.62/78.89 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 78.62/78.89 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 78.62/78.89 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 78.62/78.89 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 78.62/78.89 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 78.62/78.89 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 78.62/78.89 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 88.29/88.57 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 88.29/88.57 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 88.29/88.57 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 88.29/88.57 Found classic0:=(classic ((cP cA)->False)):((or ((cP cA)->False)) (not ((cP cA)->False)))
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of (P a)
% 88.29/88.57 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 88.29/88.57 Found classic0:=(classic ((cP cA)->False)):((or ((cP cA)->False)) (not ((cP cA)->False)))
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 88.29/88.57 Found (classic ((cP cA)->False)) as proof of (P a)
% 88.29/88.57 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 88.29/88.57 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 88.29/88.57 Found classic0:=(classic (not (cP cA))):((or (not (cP cA))) (not (not (cP cA))))
% 88.29/88.57 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 88.29/88.57 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 88.29/88.57 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 88.29/88.57 Found (classic (not (cP cA))) as proof of (P a)
% 88.29/88.57 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 88.29/88.57 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 88.29/88.57 Found conj as proof of a
% 88.29/88.57 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 88.29/88.57 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 88.29/88.57 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 88.29/88.57 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 88.29/88.57 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 88.29/88.57 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 88.29/88.57 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 88.29/88.57 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 88.29/88.57 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 88.29/88.57 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 88.29/88.57 Found conj as proof of a
% 88.29/88.57 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 90.60/90.87 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 90.60/90.87 Found conj as proof of a
% 90.60/90.87 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 90.60/90.87 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 90.60/90.87 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 90.60/90.87 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 90.60/90.87 Found classic0:=(classic (not (cP cA))):((or (not (cP cA))) (not (not (cP cA))))
% 90.60/90.87 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 90.60/90.87 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 90.60/90.87 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 90.60/90.87 Found (classic (not (cP cA))) as proof of (P a)
% 90.60/90.87 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 90.60/90.87 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 90.60/90.87 Found conj as proof of a
% 90.60/90.87 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 90.60/90.87 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 90.60/90.87 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 90.60/90.87 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 90.60/90.87 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 90.60/90.87 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 90.60/90.87 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 90.60/90.87 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 131.15/131.44 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 131.15/131.44 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 131.15/131.44 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 131.15/131.44 Found (classic (not (((eq Prop) cA) cB))) as proof of (P a)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found classic0:=(classic ((cP cA)->False)):((or ((cP cA)->False)) (not ((cP cA)->False)))
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of (P a)
% 131.15/131.44 Found classic0:=(classic ((cP cA)->False)):((or ((cP cA)->False)) (not ((cP cA)->False)))
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of ((or ((cP cA)->False)) a)
% 131.15/131.44 Found (classic ((cP cA)->False)) as proof of (P a)
% 131.15/131.44 Found classic0:=(classic (not (cP cA))):((or (not (cP cA))) (not (not (cP cA))))
% 131.15/131.44 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 131.15/131.44 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 131.15/131.44 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 131.15/131.44 Found (classic (not (cP cA))) as proof of (P a)
% 131.15/131.44 Found classic0:=(classic (not (cP cA))):((or (not (cP cA))) (not (not (cP cA))))
% 131.15/131.44 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 131.15/131.44 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 131.15/131.44 Found (classic (not (cP cA))) as proof of ((or (not (cP cA))) a)
% 131.15/131.44 Found (classic (not (cP cA))) as proof of (P a)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 131.15/131.44 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 131.15/131.44 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 139.64/139.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 139.64/139.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 139.64/139.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 152.57/152.84 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 152.57/152.84 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 171.76/172.07 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 171.76/172.07 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 179.93/180.25 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 179.93/180.25 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 (cP a)):(((eq Prop) (cP a)) (cP a))
% 195.60/195.92 Found (eq_ref0 (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) ((cP cA)->False))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 (cP a)):(((eq Prop) (cP a)) (cP a))
% 195.60/195.92 Found (eq_ref0 (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 195.60/195.92 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 195.60/195.92 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 195.60/195.92 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 207.28/207.62 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 207.28/207.62 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 218.40/218.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 218.40/218.71 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 218.40/218.71 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 218.40/218.71 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 218.40/218.71 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 218.40/218.71 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 218.40/218.71 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 218.40/218.71 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 218.40/218.71 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 218.40/218.71 Found conj as proof of a
% 218.40/218.71 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 218.40/218.71 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 218.40/218.71 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 218.40/218.71 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 218.40/218.71 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 218.40/218.71 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 218.40/218.71 Found conj as proof of a
% 218.40/218.71 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 218.40/218.71 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 218.40/218.71 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 218.40/218.71 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 218.40/218.71 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 (cP a)):(((eq Prop) (cP a)) (cP a))
% 226.80/227.18 Found (eq_ref0 (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) (not (cP cA)))
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 226.80/227.18 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 226.80/227.18 Found eq_ref00:=(eq_ref0 (cP a)):(((eq Prop) (cP a)) (cP a))
% 226.80/227.18 Found (eq_ref0 (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found ((eq_ref Prop) (cP a)) as proof of (((eq Prop) (cP a)) b)
% 226.80/227.18 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 226.80/227.18 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 226.80/227.18 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 226.80/227.18 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 226.80/227.18 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 226.80/227.18 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 226.80/227.18 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 238.33/238.72 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 238.33/238.72 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 238.33/238.72 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 238.33/238.72 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 238.33/238.72 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 238.33/238.72 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 238.33/238.72 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 238.33/238.72 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 238.33/238.72 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 238.33/238.72 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 238.33/238.72 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 238.33/238.72 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 238.33/238.72 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 238.33/238.72 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 243.48/243.82 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 243.48/243.82 Found conj as proof of a
% 243.48/243.82 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 243.48/243.82 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 243.48/243.82 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 243.48/243.82 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 243.48/243.82 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 243.48/243.82 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 243.48/243.82 Found conj as proof of a
% 243.48/243.82 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 243.48/243.82 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 243.48/243.82 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 243.48/243.82 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 243.48/243.82 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 243.48/243.82 Found eq_ref00:=(eq_ref0 ((cP cA)->False)):(((eq Prop) ((cP cA)->False)) ((cP cA)->False))
% 243.48/243.82 Found (eq_ref0 ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found eq_ref00:=(eq_ref0 ((cP cA)->False)):(((eq Prop) ((cP cA)->False)) ((cP cA)->False))
% 243.48/243.82 Found (eq_ref0 ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 243.48/243.82 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))):(((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) ((or (not (((eq Prop) cA) a))) ((cP cA)->False)))
% 243.48/243.82 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 243.48/243.82 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 243.48/243.82 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 243.48/243.82 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 243.48/243.82 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))):(((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) ((or (not (((eq Prop) cA) a))) ((cP cA)->False)))
% 243.48/243.82 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found eq_ref00:=(eq_ref0 ((cP cA)->False)):(((eq Prop) ((cP cA)->False)) ((cP cA)->False))
% 250.85/251.27 Found (eq_ref0 ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found eq_ref00:=(eq_ref0 ((cP cA)->False)):(((eq Prop) ((cP cA)->False)) ((cP cA)->False))
% 250.85/251.27 Found (eq_ref0 ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((cP cA)->False)) as proof of (((eq Prop) ((cP cA)->False)) b)
% 250.85/251.27 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) cB))) a)):(((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) ((or (not (((eq Prop) cA) cB))) a))
% 250.85/251.27 Found (eq_ref0 ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) cB))) a)):(((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) ((or (not (((eq Prop) cA) cB))) a))
% 250.85/251.27 Found (eq_ref0 ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 250.85/251.27 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))):(((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) ((or (not (((eq Prop) cA) a))) ((cP cA)->False)))
% 250.85/251.27 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))):(((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) ((or (not (((eq Prop) cA) a))) ((cP cA)->False)))
% 250.85/251.27 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 250.85/251.27 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) ((cP cA)->False))) b)
% 260.66/261.06 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 260.66/261.06 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 260.66/261.06 Found conj as proof of a
% 260.66/261.06 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP a)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP a)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP a)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP a)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 a)
% 260.66/261.06 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 260.66/261.06 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 260.66/261.06 Found conj as proof of a
% 260.66/261.06 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 260.66/261.06 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a))
% 260.66/261.06 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 a)
% 260.66/261.06 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 260.66/261.06 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 260.66/261.06 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 260.66/261.06 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 260.66/261.06 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 260.66/261.06 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 260.66/261.06 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 260.66/261.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 260.66/261.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 260.66/261.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 260.66/261.06 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 260.66/261.06 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 260.66/261.06 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 263.12/263.48 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 263.12/263.48 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 263.12/263.48 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 263.12/263.48 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 263.12/263.48 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 263.12/263.48 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 263.12/263.48 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (not (((eq Prop) cA) cB))) a))
% 263.12/263.48 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 263.12/263.48 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 263.12/263.48 Found classic0:=(classic (not (((eq Prop) cA) cB))):((or (not (((eq Prop) cA) cB))) (not (not (((eq Prop) cA) cB))))
% 263.12/263.48 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 263.12/263.48 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 263.12/263.48 Found (classic (not (((eq Prop) cA) cB))) as proof of ((or (not (((eq Prop) cA) cB))) a)
% 263.12/263.48 Found (or_intror00 (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 263.12/263.48 Found ((or_intror0 ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 263.12/263.48 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 263.12/263.48 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) cB))) a)) (classic (not (((eq Prop) cA) cB)))) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) cB))) a)))
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 274.42/274.81 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 274.42/274.81 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 274.42/274.81 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 274.42/274.81 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 274.42/274.81 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 274.42/274.81 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 274.42/274.81 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 274.42/274.81 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found eq_ref00:=(eq_ref0 a):(((eq Prop) a) a)
% 274.42/274.81 Found (eq_ref0 a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found ((eq_ref Prop) a) as proof of (((eq Prop) a) cB)
% 274.42/274.81 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 274.42/274.81 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 274.42/274.81 Found conj as proof of a
% 274.42/274.81 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 274.42/274.81 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 274.42/274.81 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 274.42/274.81 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 274.42/274.81 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 274.42/274.81 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 274.42/274.81 Found conj as proof of a
% 274.42/274.81 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 274.42/274.81 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 278.48/278.86 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 278.48/278.86 Found conj as proof of a
% 278.48/278.86 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 278.48/278.86 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 278.48/278.86 Found conj as proof of a
% 278.48/278.86 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 278.48/278.86 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 278.48/278.86 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 278.48/278.86 Found conj as proof of a
% 278.48/278.86 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 278.48/278.86 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 278.48/278.86 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 278.48/278.86 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 278.48/278.86 Found conj as proof of a
% 278.48/278.86 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 280.42/280.84 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 280.42/280.84 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 280.42/280.84 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 280.42/280.84 Found eq_ref00:=(eq_ref0 (not (cP cA))):(((eq Prop) (not (cP cA))) (not (cP cA)))
% 280.42/280.84 Found (eq_ref0 (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found eq_ref00:=(eq_ref0 (not (cP cA))):(((eq Prop) (not (cP cA))) (not (cP cA)))
% 280.42/280.84 Found (eq_ref0 (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 280.42/280.84 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))):(((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) ((or (not (((eq Prop) cA) a))) (not (cP cA))))
% 280.42/280.84 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 280.42/280.84 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 280.42/280.84 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 280.42/280.84 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 280.42/280.84 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 280.42/280.84 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 280.42/280.84 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 280.42/280.84 Found conj as proof of a
% 280.42/280.84 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 280.42/280.84 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 280.42/280.84 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 280.42/280.84 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 280.42/280.84 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 280.42/280.84 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 280.42/280.84 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 280.42/280.84 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 285.50/285.94 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 285.50/285.94 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 285.50/285.94 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 285.50/285.94 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))):(((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) ((or (not (((eq Prop) cA) a))) (not (cP cA))))
% 285.50/285.94 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 285.50/285.94 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 285.50/285.94 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 285.50/285.94 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 285.50/285.94 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 285.50/285.94 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 285.50/285.94 Found conj as proof of a
% 285.50/285.94 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 285.50/285.94 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 285.50/285.94 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 285.50/285.94 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 285.50/285.94 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 285.50/285.94 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 285.50/285.94 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 285.50/285.94 Found (((or_intror (cP a)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP a)) ((or (not (((eq Prop) cA) a))) a)))
% 285.50/285.94 Found eq_ref00:=(eq_ref0 (not (cP cA))):(((eq Prop) (not (cP cA))) (not (cP cA)))
% 285.50/285.94 Found (eq_ref0 (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 (not (cP cA))):(((eq Prop) (not (cP cA))) (not (cP cA)))
% 285.50/285.94 Found (eq_ref0 (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found ((eq_ref Prop) (not (cP cA))) as proof of (((eq Prop) (not (cP cA))) b)
% 285.50/285.94 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) cB))) a)):(((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) ((or (not (((eq Prop) cA) cB))) a))
% 285.50/285.94 Found (eq_ref0 ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 285.50/285.94 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) cB))) a)):(((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) ((or (not (((eq Prop) cA) cB))) a))
% 289.95/290.38 Found (eq_ref0 ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) cB))) a)) as proof of (((eq Prop) ((or (not (((eq Prop) cA) cB))) a)) b)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))):(((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) ((or (not (((eq Prop) cA) a))) (not (cP cA))))
% 289.95/290.38 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))):(((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) ((or (not (((eq Prop) cA) a))) (not (cP cA))))
% 289.95/290.38 Found (eq_ref0 ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found ((eq_ref Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) as proof of (((eq Prop) ((or (not (((eq Prop) cA) a))) (not (cP cA)))) b)
% 289.95/290.38 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 289.95/290.38 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 294.63/295.09 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 294.63/295.09 Found (eq_ref0 a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) a)
% 294.63/295.09 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 294.63/295.09 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 294.63/295.09 Found conj as proof of a
% 294.63/295.09 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 294.63/295.09 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 294.63/295.09 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 294.63/295.09 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (not (((eq Prop) cA) a))) a))
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 294.63/295.09 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 294.63/295.09 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 294.63/295.09 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a0):(((eq Prop) a0) a0)
% 294.63/295.09 Found (eq_ref0 a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found ((eq_ref Prop) a0) as proof of (((eq Prop) a0) cB)
% 294.63/295.09 Found conj:(forall (A:Prop) (B:Prop), (A->(B->((and A) B))))
% 294.63/295.09 Instantiate: a:=(forall (A:Prop) (B:Prop), (A->(B->((and A) B)))):Prop
% 294.63/295.09 Found conj as proof of a
% 294.63/295.09 Found (or_intror10 conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found ((or_intror1 a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found (((or_intror (not (((eq Prop) cA) a))) a) conj) as proof of ((or (not (((eq Prop) cA) a))) a)
% 294.63/295.09 Found (or_intror00 (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 294.63/295.09 Found ((or_intror0 ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 294.63/295.09 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 294.63/295.09 Found (((or_intror (cP cB)) ((or (not (((eq Prop) cA) a))) a)) (((or_intror (not (((eq Prop) cA) a))) a) conj)) as proof of (P0 ((or (cP cB)) ((or (not (((eq Prop) cA) a))) a)))
% 294.63/295.09 Found eq_ref00:=(eq_ref0 a):(((eq Prop)
%------------------------------------------------------------------------------